MATHEMATICS

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Diwa Learning Management Matrix

We at Team Diwa are committed to help you manage educational transitions

by providing you with innovative solutions through our products and services.

Introducing the Diwa Learning Management Matrix (LMM),

a teacher resource that helps you use Genyo e-Learning better

by showing you which ready-made resources in Genyo correspond to the

Department of Education’s K-12 Most Essential Learning Competencies.

We hope this helps you make more meaningful learning experiences in your

classroom with Genyo e-Learning.

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Grade 2

Most Essential

Learning Competencies (MELCs)

Genyo Content

Genyo Content Path

Genyo Lesson Package

First Quarter

Visualizes and represents numbers

from 0-1000 with emphasis on

numbers 101 – 1 000 using a

variety of materials.

Visualizing Whole Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 1 >>

Visualizing Whole Numbers >>

Visualizing Whole Numbers

Gives the place value and finds

the value of a digit in three-digit

numbers.

Place Value and Value

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 1 >>

Understanding Whole Numbers >>

Place Value and Value

MATH 2 Lesson 1:

Understanding Whole Numbers,

Place Values and Values in

Whole Numbers

Visualizes and counts numbers

by 10s, 50s, and 100s.

To Which Group They Belong

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 1 >>

Understanding Whole Numbers >>

To Which Group They Belong

MATH 2 Lesson 4:

Understanding Whole Numbers,

Skip Counting by 10s, 50s, 100s,

500s, and 1 000s

Reads and writes numbers up to

1 000 in symbols and in words.

Reading and Writing Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 1 >>

Reading and Writing Numbers >>

Reading and Writing Numbers

MATH 2 Lesson 2:

Understanding Whole Numbers,

Reading and Writing Whole

Numbers

Visualizes and writes three-digit

numbers in expanded form.

Reading and Writing Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 1 >>

Reading and Writing Numbers >>

Reading and Writing Numbers

MATH 2 Lesson 2:

Understanding Whole Numbers,

Reading and Writing Whole

Numbers

Compares numbers up using

relation symbols and orders

numbers up to 1 000 in increasing

or decreasing order.

MATH 2 Lesson 3:

Understanding Whole Numbers,

Comparing and Ordering Whole

Numbers

Identifies, reads and writes ordinal

numbers from 1st through the 20th

First in Line

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 1 >>

MATH 2 Lesson 5:

Understanding Whole Numbers,

Ordinal Numbers through 20th

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

object in a given set from a given

point of reference.

Ordinal Numbers through 20th >>

First in Line

Reads and writes money in

symbols and in words through

PhP100.

MATH 2 Lesson 1: Money,

Reading and Writing Amounts of

Money

Counts the value of a set of bills or

a set of coins through PhP100

(peso-coins only; centavo-coins

only; peso-bills only and combined

peso-coins and peso-bills).

Philippine Coins and Bills

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 1 >>

Philippine Coins and Bills >>

Philippine Coins and Bills

MATH 2 Lesson 2: Money,

Finding the Values of Sets of

Coins and Bills

Compares values of different

denominations of coins and paper

bills through PhP100 using relation

symbols.

MATH 2 Lesson 3: Money,

Comparing Values of Different

Sets of Coins and Bills

Illustrates the properties of addition

(commutative, associative, identity)

and applies each in appropriate

and relevant situations.

Properties of Addition

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 1 >>

Properties of Addition >>

Properties of Addition

ATH 2 Lesson 1: Addition of

Whole Numbers, Properties of

Addition

Visualizes, represents, and adds

the following numbers with sums

up to 1000 without and with

regrouping: a. 2-digit by 3-digit

numbers b. 3-digit by 3-digit

numbers

Adding Whole Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 1 >>

Adding Whole Numbers >> Adding

Whole Numbers

MATH 2 Lesson 2: Addition of

Whole Numbers, Adding Whole

Numbers without Regrouping

MATH 2 Lesson 3: Addition of

Whole Numbers, Adding Whole

Numbers with Regrouping

Adds mentally the following

numbers using appropriate

strategies: a. 1- to 2-digit numbers

with sums up to 50 b. 3-digit

numbers and 1-digit numbers c.

three -digit numbers and tens d. 3-

digit numbers and hundreds

(multiples of 100 up to 900)

MATH 2 Lesson 4: Addition of

Whole Numbers, Adding Whole

Numbers Mentally

Solves routine and non-routine

problems involving addition of

whole numbers including money

Adding Whole Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 1 >>

MATH 2 Lesson 2: Addition of

Whole Numbers, Adding Whole

Numbers without Regrouping

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

using appropriate problem-solving

strategies and tools.

Adding Whole Numbers >> Adding

Whole Numbers

MATH 2 Lesson 3: Addition of

Whole Numbers, Adding Whole

Numbers with Regrouping

Second Quarter

Visualizes, represents, and

subtracts 2- to 3-digit numbers

with minuends up to 999 without

and with regrouping.

Subtracting Whole Numbers

without Regrouping

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 2 >>

Subtracting Whole Numbers

without Regrouping >> Subtracting

Whole Numbers without

Regrouping

MATH 2 Lesson 1: Subtraction

of Whole Numbers, Subtracting

Whole Numbers without

Regrouping

MATH 2 Lesson 2: Subtraction

of Whole Numbers, Subtracting

Whole Numbers with Regrouping

Subtracts mentally the following

numbers without regrouping using

appropriate strategies: a. 1-digit

numbers from 1- to 3-digit

numbers b. 3-digit numbers by

tens and by hundreds

MATH 2 Lesson 3: Subtraction

of Whole Numbers, Subtracting

Whole Numbers Mentally

Solves routine and non-routine

problems involving subtraction of

whole numbers including money

using appropriate problem-solving

strategies and tools.

Performs orders of operations

involving addition and subtractions

of small numbers.

Addition and Subtraction

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 2 >>

Combined Operations >> Addition

and Subtraction

MATH 2 Lesson 4: Subtraction

of Whole Numbers, Combined

Operations: Addition and

Subtraction

Solves multi-step routine and non-

routine problems involving addition

and subtraction of 2- to 3-digit

numbers including money using

appropriate problem-solving

strategies and tools.

Addition and Subtraction

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 2 >>

Combined Operations >> Addition

and Subtraction

MATH 2 Lesson 4: Subtraction

of Whole Numbers, Combined

Operations: Addition and

Subtraction

MATHEMATICS

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Illustrates and writes a related

equation for each type of

multiplication: repeated addition,

array, counting by multiples, and

equal jumps on the number line.

MATH 2 Lesson 1: Multiplication

of Whole Numbers,

Multiplication as Repeated

Addition and Properties of

Multiplication

Illustrates the following properties

of multiplication and apply each in

relevant situation: (a) identity, (b)

zero, and, (c) commutative.

Commutative Property of

Multiplication

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 2 >>

Commutative Property of

Multiplication >> Commutative

Property of Multiplication

Always Zero

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 2 >>

Properties of Multiplication >>

Always Zero

Magic One

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 2 >>

Properties of Multiplication >>

Magic One

Visualizes multiplication of

numbers 1 to 10 by 2,3,4,5 and10.

Multiplying Whole Numbers by

2, 3, 4, 5, and 10

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 2 >>

Multiplying Whole Numbers by 2,

3, 4, 5, and 10>> Multiplying

Whole Numbers by 2, 3, 4, 5, and

MATH 2 Lesson 2: Multiplication

of Whole Numbers, Multiplying

Whole Numbers by 2, 3, 4, 5,

and 10

Multiplies mentally 2,3,4,5 and 10

using appropriate strategies.

Multiplying Whole Numbers by

2, 3, 4, 5, and 10

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 2 >>

Multiplying Whole Numbers by 2,

3, 4, 5, and 10>> Multiplying

Whole Numbers by 2, 3, 4, 5, and

MATH 2 Lesson 4: Multiplication

of Whole Numbers, Multiplying

Whole Numbers Mentally

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Solves routine and non-routine

problems using appropriate

problem-solving strategies and

tools: a. multiplication of whole

numbers including money b.

multiplication and addition or

subtraction of whole numbers

including money

MATH 2 Lesson 5: Multiplication

of Whole Numbers, Combined

Operations: Multiplication and

Addition or Subtraction

Third Quarter

Visualizes and represents division,

and writes a related equation for

each type of situation: equal

sharing, repeated subtraction,

equal jumps on the number line,

and formation of equal groups of

objects.

Concepts of Division

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 3 >>

Concepts of Division >> Concepts

of Division

MATH 2 Lesson 1: Division of

Whole Numbers, Concepts of

Division

Visualizes division of numbers up

to 100 by 2,3,4,5, and 10

(multiplication table of 2, 3, 4, 5

and 10).

Concepts of Division

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 3 >>

Concepts of Division >> Concepts

of Division

MATH 2 Lesson 2: Division of

Whole Numbers, Dividing Whole

Numbers by 2, 3, 4, 5, and 10

Divides mentally numbers by

2,3,4,5 and 10 using appropriate

strategies (multiplication table of 2,

3, 4, 5 and 10).

MATH 2 Lesson 4: Division of

Whole Numbers, Dividing Whole

Numbers Mentally

Illustrates that multiplication and

division are inverse operations.

Solves routine and non-routine

problems involving division of

numbers by 2,3,4,5 and 10 and

with any of the other operations of

whole numbers including money

using appropriate problem-solving

strategies and tools.

MATH 2 Lesson 5: Division of

Whole Numbers, Combined

Operations: Division and Other

Operations

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Visualizes, represents and

identifies unit fractions with

denominators of 10 and below.

Unit Fractions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 3 >>

Fractions >> Unit Fractions

Reads and writes unit fractions.

Unit Fractions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 3 >>

Fractions >> Unit Fractions

MATH 2 Lesson 1: Fractions,

Reading and Writing Fractions

Compares using relation symbol

and arranges in increasing or

decreasing order the unit fractions.

Comparing and Ordering of

Unit Fractions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 3 >>

Fractions >> Comparing and

Ordering of Unit Fractions

MATH 2 Lesson 2: Fractions,

Comparing and Ordering Unit

Fractions

Identifies other fractions less than

one with denominators 10 and

below.

Similar and Dissimilar

Fractions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 3 >>

Similar and Dissimilar Fractions >>

Similar and Dissimilar Fractions

Visualizes (using group of objects

and number line), reads and writes

similar fractions

Similar and Dissimilar

Fractions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 3 >>

Similar and Dissimilar Fractions >>

Similar and Dissimilar Fractions

Compares similar fractions using

relation symbols.

Comparing and Ordering

Similar Fractions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 3 >>

Comparing and Ordering Similar

Fractions >> Comparing and

Ordering Similar Fractions

MATH 2 Lesson 3: Fractions,

Comparing and Ordering Similar

Fractions

Arranges similar fractions in

increasing or decreasing order.

Comparing and Ordering

Similar Fractions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 3 >>

Comparing and Ordering Similar

Fractions >> Comparing and

Ordering Similar Fractions

MATH 2 Lesson 3: Fractions,

Comparing and Ordering Similar

Fractions

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Constructs squares, rectangles,

triangles, circles, half-circles, and

quarter circles using cut-outs and

square grids.

Identifies straight lines and curves,

flat and curved surfaces in a 3-

dimensional object.

MATH 2 Lesson 1: Geometry,

Plane Figures, Lines, and

Surfaces

Determines the missing term/s in a

given continuous pattern using two

attributes (any two of the following:

figures, numbers, colors, sizes, and

orientations, etc.) e.g. 1, A, 2, B,3,

C, __, __

Understanding Patterns

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 3 >>

Understanding Patterns >>

Understanding Patterns

MATH 2 Lesson 1: Patterns and

Algebra, Patterns

Fourth Quarter

Tells and writes time in minutes

including a.m. and p.m. using

analog and digital clocks.

What Time is It?

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 4 >>

Reading and Telling Time >> What

Time Is It?

MATH 2 Lesson 1:

Measurement, Measuring Time

Visualizes, represents, and solves

problems involving time (minutes

including a.m. and p.m. and

elapsed time in days).

What Time is It?

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 4 >>

Reading and Telling Time >> What

Time Is It?

MATH 2 Lesson 1:

Measurement, Measuring Time

Compares the following unit of

measures: a. length in meters or

centimeters b. mass in grams or

kilograms c. capacity in mL or L

Measuring Capacity

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 4 >>

Measuring Capacity >> Measuring

Capacity

MATH 2 Lesson 4:

Measurement, Measuring

Capacity

Measures objects using

appropriate measuring tools and

unit of length in m or cm.

Measuring Length

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 4 >>

Measurement >> Measuring

Length

MATH 2 Lesson 2:

Measurement, Measuring Length

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Estimates and measures length

using meter or centimeter.

Measuring Length

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 4 >>

Measurement >> Measuring

Length

MATH 2 Lesson 2:

Measurement, Measuring Length

Solves routine and non-routine

problems involving length.

Measuring Length

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 4 >>

Measurement >> Measuring

Length

MATH 2 Lesson 2:

Measurement, Measuring Length

Measures objects using

appropriate measuring tools and

measuring units in g or kg.

Measuring Mass

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 4 >>

Measurement >> Measuring Mass

MATH 2 Lesson 3:

Measurement, Measuring Mass

Estimates and measures mass

using gram or kilogram.

Measuring Mass

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 4 >>

Measurement >> Measuring Mass

MATH 2 Lesson 3:

Measurement, Measuring Mass

Solves routine and non-routine

problems involving mass.

Measuring Mass

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 4 >>

Measurement >> Measuring Mass

MATH 2 Lesson 3:

Measurement, Measuring Mass

Measures objects using

appropriate measuring tools in mL

or L.

Measuring Capacity

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 4 >>

Measuring Capacity >> Measuring

Capacity

MATH 2 Lesson 4:

Measurement, Measuring

Capacity

Finds the area of a given figure

using square-tile units i.e. number

of square tiles needed.

Area

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 4 >>

Area >> Area

MATH 2 Lesson 6:

Measurement, Area

Estimates the area of a given figure

using any shape.

MATH 2 Lesson 6:

Measurement, Area

Solves routine and non-routine

problems involving any figure using

square tiles.

Area

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 4 >>

Area >> Area

MATH 2 Lesson 6:

Measurement, Area

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Infers and interprets data

presented in a pictograph without

and with scales.

Reading and Interpreting

Pictographs

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 2

K-12 Mathematics >> Unit 4 >>

Reading and Interpreting

Pictographs >> Reading and

Interpreting Pictographs

MATH 2 Lesson 1: Statistics and

Probability, Reading and

Interpreting Pictographs

Solves routine and non-routine

problems using data presented in a

pictograph without and with

scales.

MATH 2 Lesson 1: Statistics and

Probability, Reading and

Interpreting Pictographs

MATHEMATICS

Copyright notice: No part of this document may be reproduced or transmitted in any form or by any means electronic or mechanical including recording, printing,

screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Grade 3

Most Essential

Learning Competencies

(MELCs)

Genyo Content

Genyo Content Path

Genyo Lesson Package

First Quarter

Visualizes numbers up to 10 000

with emphasis on numbers 1001

- 10000.

Reading and Writing

Whole Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 1 >> Reading and

Writing Whole Numbers >> Reading and

Writing Whole Numbers

MATH 3 Lesson 2: Whole Numbers,

Reading and Writing Numbers

Reads and writes numbers up to

10 000 in symbols and in words.

Reading and Writing

Whole Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 1 >> Reading and

Writing Whole Numbers >> Reading and

Writing Whole Numbers

MATH 3 Lesson 2: Whole Numbers,

Reading and Writing Numbers

Rounds numbers to the nearest

ten, hundred and thousand.

Rounding Off Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 1 >> Rounding Off

Numbers >> Rounding Off Numbers

MATH 3 Lesson 4: Whole Numbers

- Rounding Off Numbers

Compares using relation symbols

and orders in increasing or

decreasing order 4- to 5-digit

numbers up to 10 000.

Comparing Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 1 >> Comparing

Numbers >> Comparing Numbers

MATH 3 Lesson 3 Whole Numbers -

Comparing and Ordering Numbers

Arranging Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 1 >> Arranging

Numbers >> Arranging Numbers

MATH 3 Lesson 3 Whole Numbers -

Comparing and Ordering Numbers

Identifies ordinal numbers from

1st to 100th with emphasis on the

21st to 100th object in a given set

from a given point of reference.

MATH 3 Lesson 5: Whole Numbers

- Ordinal Numbers

Recognizes, reads and writes

money in symbols and in words

through PhP1 000 in pesos and

centavos.

MATH 3 Lesson 6: Whole Numbers

- Money

MATHEMATICS

Copyright notice: No part of this document may be reproduced or transmitted in any form or by any means electronic or mechanical including recording, printing,

screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Compares values of the different

denominations of coins and bills

through PhP1 000 using relation

symbols.

MATH 3 Evaluate: Chapter

Challenge, Whole Numbers

Adds 3- to 4-digit numbers up to

three addends with sums up to

10 000 without and with

regrouping.

MATH 3 Lesson 2: Addition of

Whole Numbers - Addition of Whole

Numbers

Estimates the sum of 3- to 4-digit

addends with reasonable results.

MATH 3 Lesson 3: Addition of

Whole Numbers - Estimating Sums

Adds mentally the following

numbers using appropriate

strategies: a. 2-digit and 1-digit

numbers without or with

regrouping b. 2- to 3-digit

numbers with multiples of

hundreds.

Mental Addition

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 1 >> Mental

Addition >> Mental Addition

MATH 3 Lesson 4: Addition of

Whole Numbers - Mental Addition

Solves routine and non-routine

problems involving addition of

whole numbers with sums up to

10 000 including money using

appropriate problem-solving

strategies and tools.

Solving Word Problems

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 1 >> Solving Word

Problems >> Solving Word Problems

MATH 3 Evaluate: Chapter

Challenge, Addition of Whole

Numbers

Subtracts 3-to 4-digit numbers

from 3- to 4-digit numbers

without and with regrouping.

MATH 3 Lesson 1: Subtraction of

Whole Numbers - Subtraction of

Whole Numbers

Estimates the difference of two

numbers with three to four digits

with reasonable results.

MATH 3 Lesson 2: Subtraction of

Whole Numbers - Estimating

Differences

Subtracts mentally the following

numbers using appropriate

strategies: a. 1- to 2-digit

numbers without and with

regrouping b. 2- to 3-digit

numbers with multiples of

hundreds without and with

regrouping

MATH 3 Lesson 3: Subtraction of

Whole Numbers - Mental

Subtraction

MATHEMATICS

Copyright notice: No part of this document may be reproduced or transmitted in any form or by any means electronic or mechanical including recording, printing,

screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Solves routine and non-routine

problems involving subtraction

without or with addition of whole

numbers including money using

appropriate problem-solving

strategies and tools.

Solving Word Problems

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 1 >> Solving Word

Problems >> Solving Word Problems

MATH 3 Evaluate: Chapter

Challenge, Subtraction of Whole

Numbers

Second Quarter

Visualizes multiplication of

numbers 1-10 by 6, 7, 8 and 9.

Multiplying by 1-digit

Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 2 >> Multiplying

by 1-digit Numbers >> Multiplying by 1-

digit Numbers

Visualizes and states basic

multiplication facts for numbers

up to 10.

Factors and Multiples of

Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 2 >> Factors and

Multiples of Numbers >> Factors and

Multiples of Numbers

Illustrates the properties of

multiplication in relevant

situations (commutative property,

distributive property or

associative property)

Distributive Property of

Multiplication

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 2 >> Distributive

Property of Multiplication >> Distributive

Property of Multiplication

MATH 3 Lesson 1 Multiplication of

Whole Number - Properties of

Multiplication

Multiplies numbers: a. 2- to 3-

digit numbers by 1-digit numbers

without or with regrouping b. 2-

digit numbers by 2-digit numbers

without regrouping c. 2-digit

number by 2-digit numbers with

regrouping d. 2- to 3-digit

numbers by multiples of 10 and

100 e. 1- to 2-digit numbers by 1

000

Multiplying by 1-digit

Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 2 >> Multiplying

by 1-digit Numbers >> Multiplying by 1-

digit Numbers

MATH 3 Lesson 2 Multiplication of

Whole Number - Multiplication of

Whole Number

Special Products

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 2 >> Special

Products >> Special Products

MATH 3 Lesson 3 Multiplication of

Whole Number - Multiplication of

Whole Numbers by 10, 100, and 1

000

Estimates the product of 2- to 3-

digit numbers and 1- to 2-digit

numbers with reasonable results.

Multiplication of Whole

Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 2 >> Multiplication

of Whole Numbers >> Multiplication of

Whole Numbers

MATH 3 Lesson 4 Multiplication of

Whole Number - Estimating

Products

MATHEMATICS

Copyright notice: No part of this document may be reproduced or transmitted in any form or by any means electronic or mechanical including recording, printing,

screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Multiplies mentally 2-digit by 1-

digit numbers without regrouping

with products of up to 100.

Multiplication of Whole

Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 2 >> Multiplication

of Whole Numbers >> Multiplication of

Whole Numbers

MATH 3 Lesson 5 Multiplication of

Whole Number - Mental

Multiplication

Solves routine and non-routine

problems involving multiplication

without or with addition and

subtraction of whole numbers

including money using

appropriate problem-solving

strategies and tools.

Multiplication of Whole

Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 2 >> Multiplication

of Whole Numbers >> Multiplication of

Whole Numbers

Visualizes and states the

multiples of 1- to 2-digit numbers.

Factors and Multiples of

Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 2 >> Factors and

Multiples of Numbers >> Factors and

Multiples of Numbers

Visualizes division of numbers up

to 100 by 6, 7, 8, and 9.

Visualizes and states basic

division facts of numbers up to

10.

Divides numbers without or with

remainder: a. 2- to 3-digit

numbers by 1- to 2- digit

numbers b. 2-3-digit numbers by

10 and 100

Division of Whole

Numbers without

Remainders

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 2 >> Division of

Whole Numbers without Remainders >>

Division of Whole Numbers without

Remainders

MATH 3 Lesson 2 Division of Whole

Numbers - Division of Whole

Numbers without Remainder

MATH 3 Lesson 4 Division of Whole

Numbers - Division of Whole

Numbers by 10 and 100

Division of Whole

Numbers with

Remainders

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 2 >> Division of

Whole Numbers with Remainders >>

Division of Whole Numbers with

Remainders

MATH 3 Lesson 3 Division of Whole

Numbers - Division of Whole

Numbers with Remainder

MATH 3 Lesson 4 Division of Whole

Numbers - Division of Whole

Numbers by 10 and 100

Estimates the quotient of 2- to 3-

digit numbers by 1- to 2- digit

numbers.

Division of Whole

Numbers without

Remainders

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 2 >> Division of

MATH 3 Lesson 5 Division of Whole

Numbers - Estimating Quotient

MATHEMATICS

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Whole Numbers without Remainders >>

Division of Whole Numbers without

Remainders

Divides mentally 2-digit numbers

by 1-digit numbers without

remainder using appropriate

strategies.

MATH 3 Lesson 6 Division of Whole

Numbers - Mental Division

Solves routine and non-routine

problems involving division of 2-

to 4-digit numbers by 1- to 2-digit

numbers without or with any of

the other operations of whole

numbers including money using

appropriate problem-solving

strategies and tools.

Division of Whole

Numbers with

Remainders

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 2 >> Division of

Whole Numbers with Remainders >>

Division of Whole Numbers with

Remainders

Third Quarter

Identifies odd and even numbers.

Odd and Even Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 3 >> Number

Theory >> Odd and Even Numbers

Visualizes and represents

fractions that are equal to one

and greater than one using

regions, sets and number line.

Improper Fractions and

Mixed Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 3 >> Improper

Fractions and Mixed Numbers >>

Improper Fractions and Mixed Numbers

Reads and writes fractions that

are equal to one and greater than

one in symbols and in words.

Improper Fractions and

Mixed Numbers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 3 >> Improper

Fractions and Mixed Numbers >>

Improper Fractions and Mixed Numbers

Represents, compares and

arranges dissimilar fractions in

increasing or decreasing order.

Similar and Dissimilar

Fractions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 3 >> Similar and

Dissimilar Fractions >> Similar and

Dissimilar Fractions

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Visualizes and generates

equivalent fractions.

Equivalent Fractions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 3 >> Equivalent

Fractions >> Equivalent Fractions

Recognizes and draws a point,

line, line segment and ray.

Recognizes and draws parallel,

intersecting and perpendicular

lines.

Different Relationships

of Lines

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 3 >> Parallel,

Intersecting and Perpendicular Lines >>

Different Relationships of Lines

Visualizes, identifies and draws

congruent line segments.

Congruent Line

Segments

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 3 >> Congruent

Line Segments >> Congruent Line

Segments

Identifies and visualizes

symmetry in the environment and

in design.

Symmetry

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 3 >> Symmetry >>

Symmetry

Identifies and draws the line of

symmetry in a given symmetrical

figure.

Completes a symmetric figure

with respect to a given line of

symmetry.

Determines the missing term/s in

a given combination of

continuous and repeating pattern.

Finds the missing value in a

number sentence involving

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

multiplication or division of whole

numbers.

Fourth Quarter

Visualizes, represents, and

converts time measure: a. from

seconds to minutes, minutes to

hours, and hours to a day and

vice versa b. days to week,

month and year and vice versa c.

weeks to months and year and

vice versa d. months to year and

vice versa.

Conversion of Seconds

and Minutes

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 4 >> Conversion

of Units of Time >> Conversion of

Seconds and Minutes

Conversion of Minutes

and Hours

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 4 >> Conversion

of Units of Time >> Conversion of

Minutes and Hours

Days, Weeks, Months,

and Years

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 4 >> Days, Weeks,

Months, and Years >> Days, Weeks,

Months, and Years

Solves problems involving

conversion of time measure.

Conversion of Seconds

and Minutes

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 4 >> Conversion

of Units of Time >> Conversion of

Seconds and Minutes

Conversion of Minutes

and Hours

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 4 >> Conversion

of Units of Time >> Conversion of

Minutes and Hours

Visualizes, and represents, and

converts common units of

measure from larger to smaller

unit and vice versa: m and cm, kg

and g, liter and milliliter.

Conversions of

Common Units of

Measurements

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 4 >> Conversions

of Common Units of Measurements >>

Conversions of Common Units of

Measurements

MATHEMATICS

Copyright notice: No part of this document may be reproduced or transmitted in any form or by any means electronic or mechanical including recording, printing,

screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Visualizes, and represents, and

solves routine and non-routine

problems involving conversions

of common units of measure.

Conversions of

Common Units of

Measurements

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 4 >> Conversions

of Common Units of Measurements >>

Conversions of Common Units of

Measurements

Solves routine and non-routine

problems involving capacity

measure.

Visualizes, and represents, and

measures area using appropriate

unit.

Area of Squares and

Rectangles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 4 >> Area of

Squares and Rectangles >> Area of

Squares and Rectangles

Solves routine and non-routine

problems involving areas of

squares and rectangles.

Word Problems

Involving Area of

Squares and Rectangles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 4 >> Word

Problems Involving Area of Squares and

Rectangles >> Word Problems Involving

Area of Squares and Rectangles

Collects data on one variable

using existing records.

Sorts, classifies, and organizes

data in tabular form and presents

this into a vertical or horizontal

bar graph.

Infers and interprets data

presented in different kinds of bar

graphs (vertical/ horizontal).

Interpreting Data in

Tables and Graphs

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 3 K-12

Mathematics >> Unit 4 >> Interpreting

Data in Tables and Graphs >>

Interpreting Data in Tables and Graphs

Solves routine and non-routine

problems using data presented in

a single-bar graph.

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Tells whether an event is sure,

likely, equally likely, unlikely, and

impossible to happen.

Likely or Unlikely

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 1 K-12

Mathematics >> Unit 4 >> Predicting

Real-life Events >> Likely or Unlikely

Describes events in real-life

situations using the phrases “sure

to happen, “likely to happen”,

“equally likely to happen”,

“unlikely to happen”, and

“impossible to happen”.

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Grade 5

Most Essential

Learning Competencies (MELCs)

Genyo Content

Genyo Content Path

Genyo Lesson Package

First Quarter

Solves routine and non-routine

problems involving a simple

experiment.

Uses divisibility rules for 3, 6, and 9

to find common factors.

What Numbers are Made

Of?

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 1 >> Divisibility Rules >>

What Numbers are Made Of?

Uses divisibility rules for 4, 8, 12,

and 11 to find common factors.

Solves routine and non-routine

problems involving factors,

multiples, and divisibility rules for

(2 to 12)

Mathematics 5: Lesson 1 Number

Theory: Factors and Multiples

Performs a series of more than two

operations on whole numbers

applying Parenthesis,

Multiplication, Division, Addition,

Subtraction (PMDAS) or Grouping,

Multiplication, Division, Addition,

Subtraction (GMDAS) correctly.

Order of Operation

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 1 >> Operation on Whole

Numbers >> Order of Operation

Mathematics 5: Lesson 4 Whole

Numbers: Series of Operation

Order of Operation with

Grouping Symbols

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 1 >> Operation on Whole

Numbers >> Order of Operation

with Grouping Symbols

Finds the common factors, GCF,

common multiples and LCM of 2–4

numbers using continuous division.

Prime and Composite

Numbers

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 1 >> Prime and Composite

Numbers >> Prime and

Composite Numbers

Mathematics 5: Lesson 2 Number

Theory: The Greatest Common

Factor

Solves real-life problems involving

GCF and LCM of 2-3 given

numbers.

Prime Factorization

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Mathematics 5: Lesson 3 Number

Theory: The Least Common Multiple

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Unit 1 >> Prime Factorization >>

Prime Factorization

Adds and subtracts fractions and

mixed fractions without and with

regrouping.

Mathematics 5: Lesson 1 Operations

and Fractions: Addition and

Subtraction of Similar Fractions

Solves routine and non-routine

problems involving addition and/or

subtraction of fractions using

appropriate problem-solving

strategies and tools.

Visualizes multiplication of

fractions using models.

Multiplying Fractions

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 1 >> Multiplying Fractions >>

Multiplying Fractions

Mathematics 5: Lesson 3 Operations

and Fractions: Multiplication of

Fractions

Multiplies a fraction and a whole

number and another fraction.

Multiplying Fractions

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 1 >> Multiplying Fractions >>

Multiplying Fractions

Mathematics 5: Lesson 3 Operations

and Fractions: Multiplication of

Fractions

Multiplies mentally proper fractions

with denominators up to 10.

Solves routine or non-routine

problems involving multiplication

without or with addition or

subtraction of fractions and whole

numbers using appropriate

problem-solving strategies and

tools.

Multiplying Fractions

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 1 >> Multiplying Fractions >>

Multiplying Fractions

Mathematics 5: Lesson 3 Operations

and Fractions: Multiplication of

Fractions

Visualizes division of fractions.

Dividing Fractions

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 1 >> Dividing Fractions >>

Dividing Fractions

Mathematics 5: Lesson 4 Operations

and Fractions: Division of Fractions

MATHEMATICS

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Divides simple fractions and whole

numbers by a fraction and vice

versa

Dividing Fractions

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 1 >> Dividing Fractions >>

Dividing Fractions

Mathematics 5: Lesson 4 Operations

and Fractions: Division of Fractions

Solves routine or non-routine

problems involving division without

or with any of the other operations

of fractions and whole numbers

using appropriate problem-solving

strategies and tools.

Dividing Fractions

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 1 >> Dividing Fractions >>

Dividing Fractions

Mathematics 5: Lesson 4 Operations

and Fractions: Division of Fractions

Second Quarter

Gives the place value and the value

of a digit of a given decimal

number through ten thousandths.

Understanding Decimals

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 2 >> Understanding

Decimals >> Understanding

Decimals

Reads and writes decimal numbers

through ten thousandths.

Understanding Decimals

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 2 >> Understanding

Decimals >> Understanding

Decimals

Mathematics 5 Lesson 1 Decimal

Numbers: Reading and Writing

Decimals

Rounds decimal numbers to the

nearest hundredth and thousandth.

Understanding Decimals

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 2 >> Understanding

Decimals >> Understanding

Decimals

Mathematics 5 Lesson 3 Decimal

Numbers: Rounding Off Decimals

Compares and arranges decimal

numbers.

Understanding Decimals

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 2 >> Understanding

Decimals >> Understanding

Decimals

Mathematics 5: Lesson 2 Decimal

Numbers: Comparing and Arranging

Decimals

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Adds and subtracts decimal

numbers through thousandths

without and with regrouping.

Adding and Subtracting

Decimals

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 2 >> Adding and Subtracting

Decimals >> Adding and

Subtracting Decimals

Mathematics 5 Lesson 1 Operation

on Decimals: Addition and

Subtraction of Decimals

Solves routine or non-routine

problems involving addition and

subtraction of decimal numbers

including money using appropriate

problem-solving strategies and

tools

Adding and Subtracting

Decimals

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 2 >> Adding and Subtracting

Decimals >> Adding and

Subtracting Decimals

Mathematics 5 Lesson 1 Operation

on Decimals: Addition and

Subtraction of Decimals

Multiplies decimals up to 2 decimal

places by 1- to 2-digit whole

numbers.

Mathematics 5: Lesson 3 Operation

on Decimals: Multiplication of

Decimals

Multiplies decimals with factors up

to 2 decimal places.

Mathematics 5: Lesson 3 Operation

on Decimals: Multiplication of

Decimals

Estimates the products of decimal

numbers with reasonable results.

Mathematics 5: Lesson 4 Operation

on Decimals: Estimating Products of

Decimals

Solves routine and non-routine

problems involving multiplication

without or with addition or

subtraction of decimals and whole

numbers including money using

appropriate problem-solving

strategies and tools.

Divides decimals with up to 2

decimal places.

Mathematics 5: Lesson 5 Operation

on Decimals: Division of Decimals

Divides whole numbers with

quotients in decimal form.

Mathematics 5: Lesson 6 Operation

on Decimals: Estimating Quotients of

Decimals

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Solves routine and non-routine

problems involving division without

or with any of the other operations

of decimals and whole numbers

including money using appropriate

problem-solving strategies and

tools.

Mathematics 5: Lesson 5 Operation

on Decimals: Division of Decimals

Visualizes the ratio of 2 given

numbers.

Visualizing Ratio

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 2 >> Ratio >> Visualizing

Ratio

Mathematics 5: Lesson 2 Ratio and

Proportion: Ratio

Identifies and writes equivalent

ratios.

Equivalent Ratios and

Proportion

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 2 >> Equivalent Ratios and

Proportion >> Equivalent Ratios

and Proportion

Expresses ratios in their simplest

forms.

Simplifying Ratios

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 2 >> Ratio >> Simplifying

Ratios

Finds the missing term in a pair of

equivalent ratios.

Finding the Missing Term in

Proportion

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 2 >> Finding the Missing

Term in Proportion >> Finding

the Missing Term in Proportion

Defines and describes a

proportion.

Equivalent Ratios and

Proportion

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 2 >> Equivalent Ratios and

Proportion >> Equivalent Ratios

and Proportion

Mathematics 5: Lesson 2 Ratio and

Proportion: Proportion

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Recognizes when two quantities

are in direct proportion.

Third Quarter

Visualizes percent and its

relationship to fractions, ratios, and

decimal numbers using models

Ratio, Fraction, Decimal,

and Percent

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 3 >> Ratio, Fraction,

Decimal, and Percent >> Ratio,

Fraction, Decimal, and Percent

Defines percentage, rate or

percent, and base

Percentage, Rate, and

Base

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 3 >> Percentage, Rate, and

Base >> Percentage, Rate, and

Base

Mathematics 5: Lesson 1 Percentage

and Discount: Percentage, Base, and

Rate

Identifies the base, percentage,

and rate in a problem.

Percentage, Rate, and

Base

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 3 >> Percentage, Rate, and

Base >> Percentage, Rate, and

Base

Finds the percentage in a given

problem.

Percentage, Rate, and

Base

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 3 >> Percentage, Rate, and

Base >> Percentage, Rate, and

Base

Solves routine and non-routine

problems involving percentage

using appropriate strategies and

tools.

Percentage, Rate, and

Base

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 3 >> Percentage, Rate, and

Base >> Percentage, Rate, and

Base

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Visualizes, names, describes and

draws polygons with 5 or more

sides.

Polygons

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 3 >> Polygons >> Polygons

Mathematics 5: Lesson 1 Geometry:

Polygons

Describes and compares

properties of polygons (regular and

irregular polygons).

Polygons

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 3 >> Polygons >> Polygons

Visualizes congruent polygons.

Mathematics 5: Lesson 2 Geometry:

Constructing Polygons

Identifies the terms related to a

circle.

Circles

Library >> Genyo Lesson Bank

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Grade 5 K-12 Mathematics >>

Unit 3 >> Circles >> Circles

Mathematics 5: Lesson 3 Geometry:

Circles

Draws circles with different radii

using a compass.

Visualizes and describes solid

figures.

Makes models of different solid

figures: cube, prism, pyramid,

cylinder, cone, and sphere using

plane figures.

Mathematics 5: Lesson 4 Geometry:

Solid Figures

Formulates the rule in finding the

next term in a sequence. e.g. 1, 3,

7,15, (15 x 2+1) Possible answers:

(x 2 + 1) (+2, +4, +8, +16)

Sequence

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 3 >> Patterns and Algebra

>> Sequence

Mathematics 5: Lesson 1 Patterns

and Algebra: Finding the nth Term

Patterns in Shapes and

Figures

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 3 >> Patterns and Algebra

>> Patterns in Shapes and

Figures

Mathematics 5: Lesson 1 Patterns

and Algebra: Finding the nth Term

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Uses different strategies (looking

for a pattern, working backwards,

etc.) to solve for the unknown in

simple equations involving one or

more operations on whole numbers

and fractions. e.g., 3 x _ + 1 = 10

(the unknown is solved by working

backwards)

Finding the Missing Term in

a Sequence

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 3 >> Patterns and Algebra

>> Finding the Missing Term in a

Sequence

Mathematics 5: Lesson 2 Patterns

and Algebra: Finding the Unknown in

a Simple Equation

Measure’s time using a 12-hour

and a 24-hour clock

Mathematics 5: Lesson 1

Measurements: Measuring Time

Calculates time in the different

world time zones in relation to the

Philippines.

Solves problems involving time.

Mathematics 5: Lesson 1

Measurements: Measuring Time

Visualizes circumference of a

circle.

Mathematics 5: Lesson 2

Measurements: Circumference of a

Circle

Measures circumference of a circle

using appropriate tools.

Mathematics 5: Lesson 2

Measurements: Circumference of a

Circle

Finds the circumference of a circle.

Mathematics 5: Lesson 2

Measurements: Circumference of a

Circle

Solves routine and non-routine

problems involving circumference

of a circle.

Mathematics 5: Lesson 2

Measurements: Circumference of a

Circle

Fourth Quarter

Finds the area of a given circle

Area of a Circle

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 4 >> Measurement >> Area

of a Circle

Mathematics 5: Lesson 1 More on

Measurements: Area of a Circle

Solves routine and non-routine

problems involving the area of a

circle.

Mathematics 5: Lesson 1 More on

Measurements: Area of a Circle

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Visualizes the volume of a cube

and rectangular prism.

Volume of Cubes

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 4 >> Measurement >>

Volume of Cubes

Mathematics 5: Lesson 2 More on

Measurement: Volume on Solids:

Cube, Prism and Cylinder

Volume of Rectangular

Prism

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 4 >> Measurement >>

Volume of Rectangular Prism

Mathematics 5: Lesson 2 More on

Measurement: Volume on Solids:

Cube, Prism and Cylinder

Names the appropriate unit of

measure used for measuring the

volume of a cube and a rectangle

prism.

Converts cu. cm to cu. m and vice

versa; cu.cm to L and vice versa.

Conversion of Units of

Volume

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 4 >> Conversion of Units of

Volume >> Conversion of Units of

Volume

Mathematics 5: Lesson 4 More on

Measurements: Conversion of Units

of Volume

Finds the volume of a given cube

and rectangular prism using cu. cm

and cu. m.

Volume of Cubes

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Grade 5 K-12 Mathematics >>

Unit 4 >> Measurement >>

Volume of Cubes

Mathematics 5: Lesson 2 More on

Measurement: Volume on Solids:

Cube, Prism and Cylinder

Volume of Rectangular

Prism

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Grade 5 K-12 Mathematics >>

Unit 4 >> Measurement >>

Volume of Rectangular Prism

Mathematics 5: Lesson 2 More on

Measurement: Volume on Solids:

Cube, Prism and Cylinder

Estimates and uses appropriate

units of measure for volume.

Conversion of Units of

Volume

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 4 >> Conversion of Units of

Volume >> Conversion of Units of

Volume

Mathematics 5: Lesson 4 More on

Measurements: Conversion of Units

of Volume

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Solves routine and non-routine

problems involving volume of a

cube and rectangular prism in real-

life situations using appropriate

strategies and tools.

Volume of Cubes

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 4 >> Measurement >>

Volume of Cubes

Mathematics 5: Lesson 2 More on

Measurement: Volume on Solids:

Cube, Prism and Cylinder

Volume of Rectangular

Prism

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 4 >> Measurement >>

Volume of Rectangular Prism

Mathematics 5: Lesson 2 More on

Measurement: Volume on Solids:

Cube, Prism and Cylinder

Reads and measures temperature

using thermometer (alcohol and/or

digital) in degree Celsius.

Temperature

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 4 >> Temperature >>

Temperature

Mathematics 5: Lesson 5 More on

Measurements: Reading Temperature

Solves routine and non-routine

problems involving temperature in

real-life situations.

Temperature

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 4 >> Temperature >>

Temperature

Mathematics 5: Lesson 5 More on

Measurements: Reading Temperature

Organizes data in tabular form and

presents them in a line graph.

Presenting and Analyzing

Data

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 4 >> Presenting and

Analyzing Data >> Presenting and

Analyzing Data

Mathematics 5: Lesson 2 Statistics

and Probability: Collecting and

Organizing Data

Interprets data presented in

different kinds of line graphs (single

to double-line graph).

Presenting and Analyzing

Data

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 4 >> Presenting and

Analyzing Data >> Presenting and

Analyzing Data

Mathematics 5: Lesson 1 Statistics

and Probability: Interpreting Data

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Solves routine and non-routine

problems using data presented in a

line graph.

Presenting and Analyzing

Data

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 4 >> Presenting and

Analyzing Data >> Presenting and

Analyzing Data

Draws inferences based on data

presented in a line graph.

Understanding Trends and

making Inferences

Library >> Genyo Lesson Bank

>> Genyolm Tab >> Math >>

Grade 5 K-12 Mathematics >>

Unit 4 >> Understanding Trends

and making Inferences >>

Understanding Trends and

making Inferences

Describes experimental probability.

Mathematics 5: Lesson 3 Statistics

and Probability: Probability

Performs an experimental

probability and records result by

listing.

Mathematics 5: Lesson 3 Statistics

and Probability: Probability

Analyzes data obtained from

chance using experiments

involving letter cards (A to Z) and

number cards (0 to 20).

Solves routine and non-routine

problems involving experimental

probability.

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Grade 6

Most Essential

Learning Competencies (MELCs)

Genyo Content

Genyo Content Path

Genyo Lesson Package

First Quarter

Adds and subtracts simple

fractions and mixed numbers

without or with regrouping.

Adding Fractions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 1 >>

Adding Fractions >> Adding

Fractions

Math 6 Lesson 1 - Addition of

Fractions and Mixed Numbers

Subtraction of Fractions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 1 >>

Subtraction of Fractions >>

Subtraction of Fractions

Math 6 Lesson 2 - Subtraction of

Fractions and Mixed Numbers

Solves routine and non-routine

problems involving addition and/or

subtraction of fractions using

appropriate problem-solving

strategies and tools.

Adding Fractions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 1 >>

Adding Fractions >> Adding

Fractions

Math 6 Lesson 1 - Addition of

Fractions and Mixed Numbers

Subtraction of Fractions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 1 >>

Subtraction of Fractions >>

Subtraction of Fractions

Math 6 Lesson 2 - Subtraction of

Fractions and Mixed Numbers

Multiplies simple fractions and

mixed fractions.

Multiplication of

Fractions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 1 >>

Subtraction of Fractions >>

Subtraction of Fractions

Math 6 Lesson 3 - Multiplication of

Fractions and Mixed Numbers

Solves routine or non-routine

problems involving multiplication

without or with addition or

subtraction of fractions and mixed

fractions using appropriate

Multiplication of

Fractions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 1 >>

Subtraction of Fractions >>

Subtraction of Fractions

Math 6 Lesson 3 - Multiplication of

Fractions and Mixed Numbers

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

problem-solving strategies and

tools.

Divides simple fractions and mixed

fractions.

Math 6 Lesson 4 - Division of Fractions

and Mixed Numbers

Solves routine or non-routine

problems involving division without

or with any of the other operations

of fractions and mixed fractions

using appropriate problem-solving

strategies and tools.

Math 6 Lesson 4 - Division of Fractions

and Mixed Numbers

Adds and subtracts decimals and

mixed decimals through ten

thousandths without or with

regrouping.

Addition and

Subtraction of Decimals

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 1 >>

Decimals >> Addition and

Subtraction of Decimals

Math 6 Lesson 1 Addition and

Subtraction of Decimals

Solves 1 or more steps routine and

non-routine problems involving

addition and/or subtraction of

decimals and mixed decimals

using appropriate problem-solving

strategies and tools.

Multiplies decimals and mixed

decimals with factors up to 2

decimal places.

Multiplication of

Decimals with Factors

up to Two Decimal

Places

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 1 >>

Decimals >> Multiplication of

Decimals with Factors up to Two

Decimal Places

Math 6 Lesson 2 Multiplication of

Decimals

Multiplies mentally decimals up to

2 decimals places by 0.1, 0.01,10,

and 100.

Math 6 Lesson 4 Mental Multiplication

and Division of Decimals by Powers of

Solves routine and non-routine

problems involving multiplication of

decimals and mixed decimals

Multiplication of

Decimals with Factors

up to Two Decimal

Places

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 1 >>

Decimals >> Multiplication of

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

including money using appropriate

problem-solving strategies.

Decimals with Factors up to Two

Decimal Places

Solves multi-step problems

involving multiplication and

addition or subtraction of decimals,

mixed decimals and whole

numbers including money using

appropriate problem-solving

strategies and tools.

Divides: a. whole numbers by

decimals up to 2 decimal places

and vice versa b. decimals/mixed

decimals up to 2 decimal places.

Math 6 Lesson 3 Division of Decimals

Divides decimals: a. up to 4

decimal places by 0.1, 0.01, and

0.001 b. up to 2 decimal places by

10, 100, and 1 000 mentally.

Math 6 Lesson 4 Mental Multiplication

and Division of Decimals by Powers of

Differentiates terminating from

repeating, non-terminating decimal

quotients.

Solves routine and non-routine

problems involving division of

decimals, mixed decimals, and

whole numbers including money

using appropriate problem-solving

strategies and tools.

Solves multi-step routine and non-

routine problems involving division

and any of the other operations of

decimals, mixed decimals, and

whole numbers including money

using appropriate problem-solving

strategies and tools.

Second Quarter

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Expresses one value as a fraction

of another given their ratio and vice

versa.

Ratio

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 2 >>

Ratio >> Ratio

Math 6 Lesson 1 Ratio

Defines and illustrates the meaning

of ratio and proportion using

concrete or pictorial models.

Ratio

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 2 >>

Ratio >> Ratio

Math 6 Lesson 1 Ratio

Proportion

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 2 >>

Proportion >> Proportion

Math 6 Lesson 2 Proportion

Finds a missing term in a

proportion (direct, inverse, and

partitive).

Proportion

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 2 >>

Proportion >> Proportion

Math 6 Lesson 3 Direct, Inverse, and

Partitive Proportions

Solves problems involving direct

proportion, partitive proportion,

and inverse proportion in different

contexts such as distance, rate,

and time using appropriate

strategies and tools.

Proportion

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 2 >>

Proportion >> Proportion

Math 6 Lesson 3 Direct, Inverse, and

Partitive Proportions

Finds the percentage or rate or

percent in a given problem.

Math 6 Lesson 4 Percentage, Rate,

and Base

Solves routine and non-routine

problems involving finding the

percentage, rate and base using

appropriate strategies and tools.

Math 6 Lesson 4 Percentage, Rate,

and Base

Solves percent problems such as

percent of increase/decrease

(discounts, original price, rate of

discount, sale price, marked-up

price), commission, sales tax, and

simple interest.

Math 6 Lesson 5 Applications of

Percent

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Describes the exponent and the

base in a number expressed in

exponential notation.

Numbers in Exponential

Notation

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 2 >>

Exponents and Integers >>

Numbers in Exponential Notation

Math 6 Lesson 1 Numbers in

Exponential Notation

Gives the value of numbers

expressed in exponential notation.

Interprets and explains the

Grouping, Exponent, Multiplication,

Division, Addition, Subtraction

(GEMDAS) rule.

Series of Operations

Involving Exponents

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 2 >>

Exponents and Integers >> Series

of Operations Involving Exponents

Math 6 Lesson 2 Series of Operations

involving Exponents

Performs two or more different

operations on whole numbers with

or without exponents and grouping

symbols.

Describe the set of integers and

identify real-life situations that

make use of it.

The Set of Integers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 2 >>

Exponents and Integers >> The Set

of Integers

Math 6 Lesson 3 Set of Integers

Compares integers with other

numbers such as whole numbers,

fractions, and decimals.

Compares and arranges integers

on the number line.

The Set of Integers

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 2 >>

Exponents and Integers >> The Set

of Integers

Math 6 Lesson 3 Set of Integers

Describes and interprets the basic

operations on integers using

materials such as algebra tiles,

counters, chips, and cards.

Math 6 Lesson 4 Addition of Integers

Math 6 Lesson 5 Subtraction of

Integers

Performs the basic operations on

integers.

Math 6 Lesson 6 Multiplication and

Division of Integers

Solves routine and non-routine

problems involving basic

operations of integers using

appropriate strategies and tools.

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Third Quarter

Visualizes and describes the

different solid figures: cube, prism,

pyramid, cylinder, cone, and

sphere using various concrete and

pictorial models.

Describing Solid Figures

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 3 >>

Describing Solid Figures >>

Describing Solid Figures

Differentiates solid figures from

plane figures.

Describing Solid Figures

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 3 >>

Describing Solid Figures >>

Describing Solid Figures

Identifies the faces of a solid figure.

Faces, Vertices, and

Edges of Polyhedrons

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 3 >>

Faces, Vertices, and Edges of

Polyhedrons >> Faces, Vertices,

and Edges of Polyhedrons

Formulates the rule in finding the

nth term using different strategies

(looking for a pattern, guessing and

checking, working backwards) e.g.

4,7,13, 16…n (the nth term is 3n+1)

Math 6 Lesson 1 The nth Term

Differentiates expression from

equation.

Algebraic Expression

and Equations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 3 >>

Patterns and Algebra >> Algebraic

Expression and Equations

Math 6 Lesson 2 Algebraic

Expressions and Equations

Gives the translation of real-life

verbal expressions and equations

into letters or symbols and vice

versa.

Translating

Mathematical Phrases

and Statements into

Algebraic Expression

and Equations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 3 >>

Patterns and Algebra >>

Translating Mathematical Phrases

and Statements into Algebraic

Expression and Equations

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Defines a variable in an algebraic

expression and equation.

Algebraic Expression

and Equations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 3 >>

Patterns and Algebra >> Algebraic

Expression and Equations

Represents quantities in real-life

situations using algebraic

expressions and equations.

Algebraic Expression

and Equations in Real-

life Situations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 3 >>

Patterns and Algebra >> Algebraic

Expression and Equations in Real-

life Situations

Solves routine and non-routine

problems involving different types

of numerical expressions and

equations such as 7+ 9 =___ + 6.

Algebraic Expression

and Equations in Real-

life Situations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 3 >>

Patterns and Algebra >> Algebraic

Expression and Equations in Real-

life Situations

Math 6 Lesson 3 Solving Numerical

Expressions and Equations

Calculates speed, distance, and

time.

Math 6 Lesson 1 Speed, Distance, and

Time

Solves problems involving average

rate and speed.

Finds the area of composite figures

formed by any two or more of the

following: triangle, square,

rectangle, circle, and semi-circle.

Math 6 Lesson 1 Area of Composite

Figures

Solves routine and non-routine

problems involving area of

composite figures formed by any

two or more of the following:

triangle, square, rectangle, circle,

and semi-circle.

Visualizes and describes surface

area and names the unit of

measure used for measuring the

surface area of solid/space figures.

Math 6 Lesson 2 Surface Area

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Finds the surface area of cubes,

prisms, pyramids, cylinders, cones,

and spheres.

Math 6 Lesson 3 Solving for the

Surface Area of Solid Figures

Solves word problems involving

measurement of surface area.

Fourth Quarter

Determines the relationship of the

volume between a rectangular

prism and a pyramid; a cylinder

and a cone; and a cylinder and

sphere.

Volume of Solid Figures

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 4 >>

Statistics and Probability >> The

Concept of Chance

Math 6 Lesson 1 Volume of Solid

Figures

Finds the volume of cylinders,

pyramids, cones, and spheres.

Solving for the Volume

of Solid Figures

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 4 >>

Solving for the Volume of Solid

Figures >> Solving for the Volume

of Solid Figures

Math 6 Lesson 1 Volume of Solid

Figures

Solves routine and non-routine

problems involving volumes of

solids.

Math 6 Lesson 2 Solving for the

Volume of Solid Figures

Reads and interprets electric and

water meter readings.

Math 6 Lesson 2 Electric and Water

Meters

Solves routine and non-routine

problems involving electric and

water consumption.

Math 6 Lesson 2 Electric and Water

Meters

Constructs a pie graph based on a

given set of data and interpret it.

Math 6 Lesson 2 Interpreting Pie

Charts

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Solves routine and non-routine

problems using data presented in a

pie graph.

Describes the meaning of

probability such as 50% chance of

rain and one in a million chance of

winning.

The Concept of Chance

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 4 >>

Statistics and Probability >> The

Concept of Chance

Performs experiments and records

outcomes.

Experiments and

Outcomes

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 4 >>

Statistics and Probability >>

Experiments and Outcomes

Math 6 Lesson 3 Experiments and

Outcomes

Makes listings and diagrams of

outcomes and tells the number of

favorable outcomes and chances

using these listings and diagrams.

Makes simple predictions of events

based on the results of

experiments.

Predicting Events

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 6

K-12 Mathematics >> Unit 4 >>

Statistics and Probability >>

Predicting Events

Math 6 Lesson 4 Probability

Solves routine and non-routine

problems involving experimental

and theoretical probability.

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Grade 8

Most Essential

Learning Competencies

(MELCs)

Genyo Content

Genyo Content Path

Genyo Lesson Package

First Quarter

Factors completely different

types of polynomials

(polynomials with common

monomial factor, difference of

two squares, sum and difference

of two cubes, perfect square

trinomials, and general

trinomials).

Factoring Techniques

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> Polynomials

>> Factoring Techniques

Math 8 Lesson 2: Factoring

General Trinomials

Math 8 Lesson 3: Factoring

Special Products

Solves problems involving

factors of polynomials.

Solving Polynomial Equations

by Factoring

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> Polynomials

>> Solving Polynomial Equations by

Factoring

MATH 8 Lesson 1: Factoring

by the Greatest Common

Factor

Illustrates rational algebraic

expressions.

Illustrating Rational Algebraic

Expressions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> Rational

Algebraic Expressions >> Illustrating

Rational Algebraic Expressions

Math 8 Lesson 1: Rational

Expressions

Simplifies rational algebraic

expressions.

Simplifying Rational Algebraic

Expressions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> Rational

Algebraic Expressions >> Simplifying

Rational Algebraic Expressions

Math 8 Lesson 3: Addition

and Subtraction of Rational

Expressions

Performs operations on rational

algebraic expressions.

Multiplying and Dividing

Rational Algebraic Expressions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> Rational

Algebraic Expressions >> Multiplying

and Dividing Rational Algebraic

Expressions

Math 8 Lesson 2:

Multiplication and Division of

Rational Expressions

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Solves problems involving

rational algebraic expressions.

Simplifying Complex Rational

Algebraic Expressions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> Rational

Algebraic Expressions >> Simplifying

Complex Rational Algebraic

Expressions

Illustrates the rectangular

coordinate system and its uses.

Graphing Ordered Pairs

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> Rectangular

Coordinate System >> Graphing

Ordered Pairs

The Rectangular Coordinate

System

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> The

Rectangular Coordinate System >> The

Rectangular Coordinate System

Math 8 Lesson 1: The

Cartesian Coordinate System

Illustrates linear equations in two

variables.

Graphing Linear Equations in

Two Variables

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> Graphing

Linear Equations in Two Variables >>

Graphing Linear Equations in Two

Variables

Math 8 Lesson 2: Linear

Equations in Two Variables

Illustrates and finds the slope of

a line given two points, equation,

and graph.

Finding the Slope and Intercept

of a Line

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> Linear

Equations >> Finding the Slope and

Intercept of a Line

Math 8 Lesson 3: Slope of a

Line

Writes the linear equation c by

ax = + in the form b mxy += and

vice versa.

Writing the Equation of the Line

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> Linear

Equations >> Writing the Equation of

the Line

Math 8 Lesson 4: Equation of

a Line

Graphs a linear equation given

(a) any two points; (b) the x –

and y – intercepts; (c) the slope

and a point on the line.

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Describes the graph of a linear

equation in terms of its

intercepts and slope.

Point-slope and Slope-intercept

Forms of Equations of Lines

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> Point-slope

and Slope-intercept Forms of Equations

of Lines >> Point-slope and Slope-

intercept Forms of Equations of Lines

Math 8 Lesson 3: Slope of a

Line

Finds the equation of a line

given (a) two points; (b) the

slope and a point; (c) the slope

and its intercepts.

Point-slope and Slope-intercept

Forms of Equations of Lines

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> Point-slope

and Slope-intercept Forms of Equations

of Lines >> Point-slope and Slope-

intercept Forms of Equations of Lines

Math 8 Lesson 4: Equation of

a Line

Solves problems involving linear

equations in two variables.

Math 8 Lesson 5:

Applications of Linear

Equations in Two Variables

Illustrates a system of linear

equations in two variables.

Math 8 Lesson 5:

Applications of Linear

Equations in Two Variables

Graphs a system of linear

equations in two variables.

Graphing Systems of Linear

Equation

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> Systems of

Linear Equations >> Graphing Systems

of Linear Equation

Math 8 Lesson 1: Systems of

Linear Equations and Their

Graphs

Categorizes when a given

system of linear equations in two

variables has graphs that are

parallel, intersecting, and

coinciding.

Classifying Systems of Linear

Equation

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> Systems of

Linear Equations >> Classifying

Systems of Linear Equation

Solves problems involving

systems of linear equations in

two variables by (a) graphing; (b)

substitution; (c) elimination.

Solving Systems of Linear

Equation

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> Systems of

Linear Equations >> Solving Systems of

Linear Equation

Math 8 Lesson 3:

Applications of Systems of

Linear Equations in Two

Variables

Solving Systems of Linear

Equation in Two Variables by

Graphing

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> Solving

Systems of Linear Equation in Two

Math 8 Lesson 1: Systems of

Linear Equations and Their

Graphs

MATHEMATICS

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Variables by Graphing >> Solving

Systems of Linear Equation in Two

Variables by Graphing

Solving Systems of Linear

Equation in Two Variables by

Substitution

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 1 >> Solving

Systems of Linear Equation in Two

Variables by Substitution >> Solving

Systems of Linear Equation in Two

Variables by Substitution

Math 8 Lesson 2: Solving

Systems of Linear Equations

in Two Variables

Second Quarter

Differentiates linear inequalities

in two variables from linear

equations in two variables.

Difference Between Linear

Equation and Linear Inequalities

in Two Variables

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> Linear

Inequalities >> Difference Between

Linear Equation and Linear Inequalities

in Two Variables

Math 8 Lesson 2: Linear

Inequalities in Two Variables,

Systems of Linear

Inequalities in Two Variables

Illustrates and graphs linear

inequalities in two variables.

Graphing Linear Inequalities in

Two Variables

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> Linear

Inequalities >> Graphing Linear

Inequalities in Two Variables

Math 8 Lesson 2: Linear

Inequalities in Two Variables,

Systems of Linear

Inequalities in Two Variables

Linear Inequalities in Two

Variables

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> Linear

Inequalities in Two Variables >> Linear

Inequalities in Two Variables

Math 8 Lesson 1: Linear

Inequalities in Two Variables,

Forms and Graphs of Linear

Inequalities

Solves problems involving linear

inequalities in two variables.

Problems Involving Linear

Inequalities in Two Variables

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> Linear

Inequalities >> Problems Involving

Linear Inequalities in Two Variables

Linear Inequalities in Two

Variables

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> Linear

Math 8 Lesson 1: Linear

Inequalities in Two Variables,

Forms and Graphs of Linear

Inequalities

MATHEMATICS

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Inequalities in Two Variables >> Linear

Inequalities in Two Variables

Solves problems involving

systems of linear inequalities in

two variables.

Solving Problems Involving

Systems of Linear Inequalities

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> Linear

Inequalities >> Solving Problems

Involving Systems of Linear Inequalities

Systems of Linear Inequalities in

Two Variables

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> Linear

Inequalities >> Solving Problems

Involving Systems of Linear Inequalities

Illustrates a relation and a

function.

Function vs Relation

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> Function and

Relation >> Function vs Relation

Math 8 Lesson 1: Relation

and Functions, Relations

Math 8 Lesson 2: Relation

and Functions, Functions

Verifies if a given relation is a

function.

Verifying Function or Relation

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> Function and

Relation >> Verifying Function or

Relation

Math 8 Lesson 1: Relation

and Functions, Relations

Math 8 Lesson 2: Relation

and Functions, Functions

Determines dependent and

independent variables.

Dependent and Independent

Variables

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> Linear

Functions >> Dependent and

Independent Variables

Finds the domain and range of a

function.

Domain and Range of Function

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> Linear

Functions >> Domain and Range of

Function

Graphs and illustrates a linear

function and its (a) domain; (b)

range; (c) table of values; (d)

intercepts; and (e) slope.

Illustrating Linear Function

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> Linear

MATHEMATICS

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Functions >> Illustrating Linear

Function

Constructing Table of Values of

Linear Functions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> Linear

Functions >> Constructing Table of

Values of Linear Functions

Solves problems involving linear

functions.

Solving Complex Problems

Involving Linear Functions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> Linear

Functions >> Solving Complex

Problems Involving Linear Functions

Determines the relationship

between the hypothesis and the

conclusion of an if-then

statement.

Introduction to Statements of

Equivalence

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> Geometry >>

Introduction to Statements of

Equivalence

If-then Statements

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> If-then

Statements >> If-then Statements

Transforms a statement into an

equivalent if-then statement.

Conditional Statements

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> The

Foundation of Geometry >> Conditional

Statements

Math 8 Lesson 1: Logic and

Reasoning, Conditional

Statements

If-then Statements

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> If-then

Statements >> If-then Statements

Determines the inverse,

converse, and contrapositive of

an if-then statement.

Formulation of

Converse/Inverse/Contrapositiv

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> The

Foundation of Geometry >>

MATHEMATICS

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Formulation of

Converse/Inverse/Contrapositive

Converse, Inverse and

Contrapositive Statements

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> Converse,

Inverse and Contrapositive Statements

>> Converse, Inverse and

Contrapositive Statements

Illustrates the equivalences of:

(a) the statement and its

contrapositive; and (b) the

converse and inverse of a

statement.

Converse, Inverse and

Contrapositive Statements

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> Converse,

Inverse and Contrapositive Statements

>> Converse, Inverse and

Contrapositive Statements

Uses inductive or deductive

reasoning in an argument.

The Reasons Behind

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> The Reasons

Behind >> The Reasons Behind

Math 8 Lesson 2: Logic and

Reasoning, Deductive and

Inductive Reasoning

Writes a proof (both direct and

indirect).

Math 8 Lesson 3: Logic and

Reasoning, Writing Proofs

Third Quarter

Describes a mathematical

system.

The Framework of Geometry

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> The

Framework of Geometry >> The

Framework of Geometry

Math 8 Lesson 1: Postulates

on Lines and Planes;

Axiomatic Structure of

Geometry

Illustrates the need for an

axiomatic structure of a ma

thematical system in general,

and in Geometry in particular: (a)

Postulates in Geometry

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> Geometry >>

Postulates in Geometry

Math 8 Lesson 2: Postulates

on Angles; Axiomatic

Structure of Geometry

MATHEMATICS

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defined terms; (b) undefined

terms; (c) postulates; and (d)

theorems.

Theorem in Geometry

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> Geometry >>

Theorem in Geometry

Math 8 Lesson 2: Postulates

on Angles; Axiomatic

Structure of Geometry

The Framework of Geometry

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 2 >> The

Framework of Geometry >> The

Framework of Geometry

Math 8 Lesson 1: Postulates

on Lines and Planes;

Axiomatic Structure of

Geometry

Illustrates triangle congruence.

The Idea of Congruence

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >>

Relationships in Triangles >> The Idea

of Congruence

Math 8 Lesson 1: Congruent

Segments and Angles;

Triangle Congruence

Congruence in Triangles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> Congruence

in Triangles >> Congruence in Triangles

Math 8 Lesson 1: Congruent

Segments and Angles;

Triangle Congruence

Illustrates the SAS, ASA and

SSS congruence postulates.

The SAS/ASA/SSS Postulate

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> Postulates in

Triangle Congruence >> The

SAS/ASA/SSS Postulate

Math 8 Lesson 2: Postulates

on Angles; Axiomatic

Structure of Geometry

Congruence in Triangles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> Congruence

in Triangles >> Congruence in Triangles

Math 8 Lesson 2: Postulates

on Angles; Axiomatic

Structure of Geometry

Solves corresponding parts of

congruent triangles

Corresponding Parts of

Congruent Triangles are

Congruent

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >>

Relationships in Triangles >>

Corresponding Parts of Congruent

Triangles are Congruent

Math 8 Lesson 3: Using

Congruent Triangles; Triangle

Congruence

Congruent Triangles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> Congruent

Triangles >> Congruent Triangles

Math 8 Lesson 3: Using

Congruent Triangles; Triangle

Congruence

MATHEMATICS

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Proves two triangles are

congruent.

Corresponding Parts of

Congruent Triangles are

Congruent

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >>

Relationships in Triangles >>

Corresponding Parts of Congruent

Triangles are Congruent

Congruent Triangles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> Congruent

Triangles >> Congruent Triangles

Proves statements on triangle

congruence.

Corresponding Parts of

Congruent Triangles are

Congruent

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >>

Relationships in Triangles >>

Corresponding Parts of Congruent

Triangles are Congruent

Applies triangle congruence to

construct perpendicular lines

and angle bisectors.

Construction of Perpendicular

Bisector/ Construction of Angle

Bisector

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> Angles >>

Construction of Perpendicular Bisector/

Construction of Angle Bisector

Fourth Quarter

Illustrates theorems on triangle

inequalities (Exterior Angle

Inequality Theorem, Triangle

Inequality Theorem, Hinge

Theorem).

Inequalities in Two Triangles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> Inequalities

in Two Triangles >> Inequalities in Two

Triangles

Math 8 Lesson 2: Inequalities

in Two Triangles; Geometric

Relationships

Applies theorems on triangle

inequalities.

Inequalities in Two Triangles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> Inequalities

in Two Triangles >> Inequalities in Two

Triangles

Math 8 Lesson 2: Inequalities

in Two Triangles; Geometric

Relationships

Inequalities in a Triangle

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> Inequalities

Math 8 Lesson 1: Inequalities

in a Single Triangle;

Geometric Relationships

MATHEMATICS

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in a Triangle >> Inequalities in a

Triangle

Proves inequalities in a triangle.

Inequalities in a Triangle

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> Inequalities

in a Triangle >> Inequalities in a

Triangle

Math 8 Lesson 1: Inequalities

in a Single Triangle;

Geometric Relationships

Proves properties of parallel

lines cut by a transversal.

Parallel Lines and Transversals

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> Parallel Lines

and Transversals >> Parallel Lines and

Transversals

Math 8 Lesson 3: Parallelism

and Perpendicularity of Lines;

Geometric Relationships

Determines the conditions under

which lines and segments are

parallel or perpendicular.

Perpendicular Lines

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> Angles >>

Perpendicular Lines

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >>

Perpendicular Lines >> Perpendicular

Lines

Illustrates an experiment,

outcome, sample space and

event.

Permutations and Combinations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 3 >> Permutations

and Combinations >> Permutations and

Combinations

Counts the number of

occurrences of an outcome in an

experiment: (a) table; (b) tree

diagram; (c) systematic listing;

and (d) fundamental counting

principle.

Using the Tree Diagram and

Listing in Organized

Counting/The Fundamental

Counting Principle

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 4 >> The

Counting Techniques >> Using the Tree

Diagram and Listing in Organized

Counting/The Fundamental Counting

Principle

Finds the probability of a simple

event.

Maybe or Probably?

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 4 >> Probability

>> Maybe or Probably?

Math 8 Lesson 1: Key

Concepts on Probability;

Elementary Probability

MATHEMATICS

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What is Probability?

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 4 >> What is

Probability? >> What is Probability?

Math 8 Lesson 1: Key

Concepts on Probability;

Elementary Probability

Illustrates an experimental

probability and a theoretical

probability.

Experimental Versus Theoretical

Probability

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 4 >> Probability

>> Experimental Versus Theoretical

Probability

Math 8 Lesson 2: Simple

Probability; Elementary

Probability

Solves problems involving

probabilities of simple events.

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 8 K-12

Mathematics >> Unit 4 >> Probability

>> Show More

MATHEMATICS

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Grade 9

Most Essential

Learning Competencies

(MELCs)

Genyo Content

Genyo Content Path

Genyo Lesson Package

First Quarter

Illustrates quadratic

equations.

Solving Quadratic Equations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 1 >>

Quadratic Equations >> Solving

Quadratic Equations

Mathematics 9 - Chapter 1 - Lesson 1

- Quadratic Equations

Solves quadratic equations

by: (a) extracting square

roots; (b) factoring; (c)

completing the square; and

(d) using the quadratic

formula.

Solving Quadratic Equations

by Extracting the Square

Root

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 1 >> Solving

Quadratic Equations by Extracting the

Square Root >> Solving Quadratic

Equations by Extracting the Square

Root

Mathematics 9 - Chapter 1 - Lesson 2

- Solving Quadratic Equations by

Extracting the Roots and Factoring

Solving Quadratic Equations

by Factoring

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 1 >> Solving

Quadratic Equations by Factoring >>

Solving Quadratic Equations by

Factoring

Mathematics 9 - Chapter 1 - Lesson 2

- Solving Quadratic Equations by

Extracting the Roots and Factoring

Solving Quadratic Equations

Using the Quadratic Formula

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 1 >> Solving

Quadratic Equations Using the

Quadratic Formula >> Solving

Quadratic Equations Using the

Quadratic Formula

Solving Quadratic Equations

by Completing the Square

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 1 >> Solving

Quadratic Equations by Completing

the Square >> Solving Quadratic

Equations by Completing the Square

Mathematics 9 - Chapter 1 - Lesson 3

- Solving Quadratic Equations by

Completing the Square

MATHEMATICS

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Characterizes the roots of

a quadratic equation using

the discriminant.

The Discriminant

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 1 >>

Quadratic Equations >> The

Discriminant

Nature of Roots of Quadratic

Equations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 1 >> Nature

of Roots of Quadratic Equations >>

Nature of Roots of Quadratic

Equations

Describes the relationship

between the coefficients

and the roots of a

quadratic equation.

The Coefficients and the

Roots of Quadratic Equations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 1 >>

Quadratic Equations >> The

Coefficients and the Roots of

Quadratic Equations

Solves equations

transformable to quadratic

equations (including

rational algebraic

equations).

Solves problems involving

quadratic equations and

rational algebraic

equations.

Illustrates quadratic

inequalities

Solving Quadratic Inequalities

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 1 >>

Quadratic Inequalities >> Solving

Quadratic Inequalities

Mathematics 9 - Chapter 1 - Lesson 4

- Quadratic Inequalities

Solves quadratic

inequalities.

Solves problems involving

quadratic inequalities.

Models’ real-life situations

using quadratic functions.

Introduction to Quadratic

Functions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 1 >>

Quadratic Functions >> Introduction

to Quadratic Functions

Mathematics 9 - Chapter 2 - Lesson 1

- Quadratic Functions

MATHEMATICS

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Represents a quadratic

function using: (a) table of

values; (b) graph; and (c)

equation.

Table of Values of a

Quadratic Function/The

Graph of Quadratic Function

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 1 >>

Quadratic Functions >> Table of

Values of a Quadratic Function/The

Graph of Quadratic Function

Transforms the quadratic

function defined by y = ax2

+ bx + c into the form y = a

(x – h)2 + k.

Converting Quadratic

Function into Different Forms

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 1 >>

Quadratic Functions >> Converting

Quadratic Function into Different

Forms

Graphs a quadratic

function: (a) domain; (b)

range; (c) intercepts; (d)

axis of symmetry; (e)

vertex; (f) direction of the

opening of the parabola.

Mathematics 9 - Chapter 2 - Lesson 2

- The Parabola and Its Properties

Analyzes the effects of

changing the values of a, h

and k in the equation y = a

(x – h)2 + k of a quadratic

function on its graph.

The Effects of a/ The Effects

of h and k

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 1 >>

Changing the Values in Quadratic

Equation >> The Effects of a/ The

Effects of h and k

Mathematics 9 - Chapter 2 - Lesson 3

- Transformations of Graphs of

Quadratic Functions

Determines the equation of

a quadratic function given:

(a) a table of values; (b)

graph; (c) zeros.

Solves problems involving

quadratic functions.

Second Quarter

Illustrates situations that

involve the following

variations: (a) direct; (b)

Direct/Inverse/Joint/Combine

d Variations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 2 >>

Variations >>

MATHEMATICS

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inverse; (c) joint; (d)

combined.

Direct/Inverse/Joint/Combined

Variations

Direct Variation

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 2 >> Direct

Variation >> Direct Variation

Mathematics 9 - Chapter 4 - Lesson 1

- Direct Variation

Inverse Variation

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 2 >> Inverse

Variation >> Inverse Variation

Mathematics 9 - Chapter 4 - Lesson 2

- Inverse Variation

Joint Variation

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 2 >> Joint

Variation >> Joint Variation

Mathematics 9 - Chapter 4 - Lesson 3

- Joint and Combined Variation

Combined Variations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 2 >>

Combined Variations >> Combined

Variations

Mathematics 9 - Chapter 4 - Lesson 3

- Joint and Combined Variation

Direct Square Variation

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 2 >> Direct

Square Variation >> Direct Square

Variation

Translates into variation

statement a relationship

between two quantities

given by: (a) a table of

values; (b) a mathematical

equation; (c) a graph, and

vice versa.

Relationship of Two

Quantities Given by a Table

of Values/Relationship of Two

Quantities Given by the

Graph

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 2 >> Variation

Statement >> Relationship of Two

Quantities Given by a Table of

Values/Relationship of Two Quantities

Given by the Graph

Solves problems involving

variation.

Direct Variation

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 2 >> Direct

Variation >> Direct Variation

Mathematics 9 - Chapter 4 - Lesson 1

- Direct Variation

MATHEMATICS

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Inverse Variation

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 2 >> Inverse

Variation >> Inverse Variation

Mathematics 9 - Chapter 4 - Lesson 2

- Inverse Variation

Solves problems involving

variation.

Joint Variation

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 2 >> Joint

Variation >> Joint Variation

Mathematics 9 - Chapter 4 - Lesson 3

- Joint and Combined Variation

Combined Variations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 2 >>

Combined Variations >> Combined

Variations

Mathematics 9 - Chapter 4 - Lesson 3

- Joint and Combined Variation

Direct Square Variation

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 2 >> Direct

Square Variation >> Direct Square

Variation

Applies the laws involving

positive integral exponents

to zero and negative

integral exponents.

Positive Integral

Exponents/Negative Integral

Exponents/Zero Exponent

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 2 >> Integral

Exponents >> Positive Integral

Exponents/Negative Integral

Exponents/Zero Exponent

Simplifies expressions with

rational exponents.

Writes expressions with

rational exponents as

radicals and vice versa.

Radical Expressions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 3 >> Radicals

>> Radical Expressions

Mathematics 9 - Chapter 3 - Lesson 1

- Radical Expressions and Equations

Derives the laws of

radicals.

Radicals

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 3 >> Radicals

>> Radicals

Mathematics 9 - Chapter 3 - Lesson 2

- Laws of Radicals

MATHEMATICS

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Simplifies radical

expressions using the laws

of radicals.

Simplifying Radical

Expressions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 3 >> Radicals

>> Simplifying Radical Expressions

Performs operations on

radical expressions.

Product Rule of

Radicals/Quotient Rule of

Radicals

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 2 >> Radicals

>> Product Rule of Radicals/Quotient

Rule of radicals

Mathematics 9 - Chapter 3 - Lesson 4

- Multiplication and Division of

Radicals

Multiplication/Division/

Addition and Subtraction of

Radical Expressions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 3 >> Radicals

>> Multiplication/Division/ Addition

and Subtraction of Radical

Expressions

Mathematics 9 - Chapter 3 - Lesson 3

- Addition and Subtraction of Radicals

Solves equations involving

radical expressions.

Solving Radical Equations:

Single Radical

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 3 >> Radicals

>> Solving Radical Equations: Single

Radical

Solves problems involving

radicals.

Solving Radical Equations:

Single Radical

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 3 >> Radicals

>> Solving Radical Equations: Single

Radical

Third Quarter

Determines the conditions

that make quadrilateral a

parallelogram.

More on Parallelograms

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 3 >> More on

Parallelograms >> More on

Parallelograms

Mathematics 9 - Chapter 6 - Lesson 2

- Kinds of Parallelograms

Uses properties to find

measures of angles, sides

and other quantities

involving parallelograms.

Properties of Parallelograms

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 3 >>

Properties of Parallelograms >>

Properties of Parallelograms

Mathematics 9 - Chapter 6 - Lesson 1

- The Parallelogram and its Properties

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Proves theorems on the

different kinds of

parallelogram (rectangle,

rhombus, square).

Parallelograms: Rectangles

and Squares

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 4 >>

Geometry >> Parallelograms:

Rectangles and Squares

Mathematics 9 - Chapter 5 - Lesson 2

- Similar Polygons and Similar

Triangles

Properties of Special

Quadrilaterals

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 3 >>

Properties of Special Quadrilaterals >>

Properties of Special Quadrilaterals

Mathematics 9 - Chapter 5 - Lesson 2

- Similar Polygons and Similar

Triangles

Proves the Midline

Theorem.

Proving Midline Theorem

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 4 >>

Geometry >> Proving Midline Theorem

Proves theorems on

trapezoids and kites.

Properties of Trapezoid:

Proofs

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 4 >>

Geometry >> Properties of Trapezoid:

Proofs

Mathematics 9 - Chapter 6 - Lesson 3

- The Trapezoid and its Properties

Solves problems involving

parallelograms, trapezoids

and kites.

Mathematics 9 - Chapter 6 - Lesson 4

- The Kite and its Properties

Describes a proportion.

Properties of Proportion

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 3 >>

Properties of Proportion >> Properties

of Proportion

Mathematics 9 - Chapter 5 - Lesson 1

- Ratio and Proportion

Applies the fundamental

theorems of proportionality

to solve problems involving

proportions.

The Basic Proportionality

Theorem and Its Converse

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 3 >> The

Basic Proportionality Theorem and Its

Converse >> The Basic Proportionality

Theorem and Its Converse

Illustrates similarity of

figures.

Similarity in Geometry

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 3 >>

Similarity >> Similarity in Geometry

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Proves the conditions for

similarity of triangles.

Mathematics 9 - Chapter 5 - Lesson 2

- Similar Polygons and Simimlar

Triangles

1.1 SAS similarity theorem

1.2 SSS similarity theorem

1.3 AA similarity theorem

1.4 right triangle similarity

theorem 1.5 special right

triangle theorems

Conditions to Ensure

Similarity: The Sides

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 3 >>

Similarity >> Conditions to Ensure

Similarity: The Sides

Mathematics 9 - Chapter 5 - Lesson 3

- Proving Similar Triangles

Applies the theorems to

show that given triangles

are similar.

Problems Based on Similarity

Mathematics 9 - Chapter 5 - Lesson 4

-Similarities in right Triangle

Proves the Pythagorean

Theorem.

Pythagorean Theorem

(Animate Proof)

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 3 >> Right

Triangles >> Pythagorean Theorem

(Animate Proof)

Solves problems that

involve triangle similarity

and right triangles.

Proving Similar Triangles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 3 >> Right

Triangles >> Proving Similar Triangles

Mathematics 9 - Chapter 7 - Lesson 2

-Solving Right Triangles

Fourth Quarter

Illustrates the six

trigonometric ratios: sine,

cosine, tangent, secant,

cosecant, and cotangent.

Trigonometric Ratios: An

Overview

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 4 >>

Trigonometry >> Trigonometric Ratios:

An Overview

Illustrates the six

trigonometric ratios: sine,

cosine, tangent, secant,

cosecant, and cotangent.

The Six Trigonometric Ratios

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 4 >> The Six

Trigonometric Ratios >> The Six

Trigonometric Ratios

Mathematics 9 - Chapter 7 - Lesson 1

- The Six Trigonometric Ratios

Finds the trigonometric

ratios of special angles.

Trigonometric Values of

Special Angles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 4 >>

Trigonometry >> Trigonometric Values

of Special Angles

Mathematics 9 - Chapter 7 - Lesson 3

- Trigonometric Functions of Special

Angles

MATHEMATICS

Copyright notice: No part of this document may be reproduced or transmitted in any form or by any means electronic or mechanical including recording, printing,

screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Trigonometric Ratios of

Special Angles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 4 >>

Trigonometric Ratios of Special Angles

>> Trigonometric Ratios of Special

Angles

Illustrates angles of

elevation and angles of

depression.

Angles of Elevation and

Depression

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 4 >> Angles

of Elevation and Depression >> Angles

of Elevation and Depression

Uses trigonometric ratios

to solve real -life problems

involving right triangles.

The Six Trigonometric Ratios

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 4 >> The Six

Trigonometric Ratios >> The Six

Trigonometric Ratios

Mathematics 9 - Chapter 7 - Lesson 1

- The Six Trigonometric Ratios

Trigonometric Ratios of

Special Angles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 4 >>

Trigonometric Ratios of Special Angles

>> Trigonometric Ratios of Special

Angles

Mathematics 9 - Chapter 7 - Lesson 3

- Trigonometric Functions of Special

Angles

Illustrates laws of sines and

cosines.

The Law of Sines

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 4 >> The Law

of Sines >> The Law of Sines

Mathematics 9 - Chapter 8 - Lesson 1

-The Law of Sines

The Law of Cosines

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 4 >> The Law

of Cosines >> The Law of Cosines

Mathematics 9 - Chapter 8 - Lesson 2

- The Law of Cosines

Solves problems involving

oblique triangles.

The Law of Sines

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 4 >> The Law

of Sines >> The Law of Sines

Mathematics 9 - Chapter 8 - Lesson 1

-The Law of Sines

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

The Law of Cosines

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 9 K-

12 Mathematics >> Unit 4 >> The Law

of Cosines >> The Law of Cosines

Mathematics 9 - Chapter 8 - Lesson 2

- The Law of Cosines

MATHEMATICS

Copyright notice: No part of this document may be reproduced or transmitted in any form or by any means electronic or mechanical including recording, printing,

screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Grade 10

Most Essential

Learning Competencies

(MELCs)

Genyo Content

Genyo Content Path

Genyo Lesson Package

First Quarter

Generates patterns.

Do You See the Pattern

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Patterns >> Do You See the Pattern

Mathematics 10 Lesson 1

Sequences and Series

Patterns in Sequences and

Series

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Patterns in Sequences and Series >>

Patterns in Sequences and Series

Illustrates an arithmetic

sequence

Arithmetically Generic

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Arithmetic Sequence >>

Arithmetically Generic

Mathematics 10 Lesson 2

Arithmetic Sequences and Series

Arithmetic Sequences and

Series

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Arithmetic Sequences and Series >>

Arithmetic Sequences and Series

Determines arithmetic

means, nth term of an

arithmetic sequence and

sum of the terms of a given

arithmetic’s sequence.

Solving Arithmetic Means

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Arithmetic Sequence >> Solving

Arithmetic Means

Nth Term of Arithmetic

Sequence

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Arithmetic Sequence >> Nth Term of

Arithmetic Sequence

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Sum of Terms of Arithmetic

Sequence

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Arithmetic Sequence >> Sum of

Terms of Arithmetic Sequence

Arithmetic Sequences and

Series

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Arithmetic Sequences and Series >>

Arithmetic Sequences and Series

Mathematics 10 Lesson 2

Arithmetic Sequences and Series

Illustrates a geometric

sequence.

Geometric Sequence

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Geometric Sequence >> Geometric

Sequence

Mathematics 10 Lesson 3

Geometric Sequences and Series

Geometric Sequences and

Series

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Geometric Sequences and Series >>

Geometric Sequences and Series

Differentiates a geometric

sequence from an arithmetic

sequence.

Geometric Sequence

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Geometric Sequence >> Geometric

Sequence

Mathematics 10 Lesson 3

Geometric Sequences and Series

Geometric Sequences and

Series

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Geometric Sequences and Series >>

Geometric Sequences and Series

Determines geometric

means, nth term of a

geometric sequence and

sum of the terms of a given

Solving Applications of

Geometric Sequence

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Geometric Sequence >> Solving

Applications of Geometric Sequence

Mathematics 10 Lesson 3

Geometric Sequences and Series

MATHEMATICS

Copyright notice: No part of this document may be reproduced or transmitted in any form or by any means electronic or mechanical including recording, printing,

screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

finite or infinite geometric

sequence

Geometric Sequences and

Series

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Geometric Sequences and Series >>

Geometric Sequences and Series

Solves problems involving

sequences.

Arithmetic Sequences and

Series

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Arithmetic Sequences and Series >>

Arithmetic Sequences and Series

Mathematics 10 Lesson 2

Arithmetic Sequences and Series

Geometric Sequences and

Series

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Geometric Sequences and Series >>

Geometric Sequences and Series

Mathematics 10 Lesson 3

Geometric Sequences and Series

Performs division of

polynomials using long

division and synthetic

division.

The Long Way of Dividing

Polynomials

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Polynomials >> The Long Way of

Dividing Polynomials

Proves the Remainder

Theorem, Factor Theorem

and the Rational Root

Theorem.

Rational Root Theorem

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Other Types of Sequences >>

Rational Root Theorem

Mathematics 10 Lesson 3 Rational

Root Theorem

Proof Remainder Theorem

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Other Types of Sequences >> Proof

Remainder Theorem

Mathematics 10 Lesson 2 The

Remainder and the Factor

Theorems

Factors polynomials.

Special Cases in Factoring

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Polynomials >> Special Cases in

Factoring

MATHEMATICS

Copyright notice: No part of this document may be reproduced or transmitted in any form or by any means electronic or mechanical including recording, printing,

screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Illustrates polynomial

equations.

Polynomial Equations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 1 >>

Polynomial Equations >> Polynomial

Equations

Mathematics 10 Lesson 1:

Polynomial Functions, Polynomial

Functions

Solves problems involving

polynomials and polynomial

equations.

Second Quarter

Illustrates polynomial

functions

Polynomial Functions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 2 >>

Polynomial Functions >> Polynomial

Functions

Mathematics 10 Lesson 1:

Polynomial Functions, Polynomial

Functions

Understand, describe and

interpret the graphs

polynomial functions.

Graphing Polynomial Functions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 2 >>

Polynomial Functions >> Graphing

Polynomial Functions

Mathematics 10 Lesson 2:

Polynomial Functions, Graphs of

Polynomial Functions

Solves problems involving

polynomial functions.

Evaluating Polynomial Functions

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 2 >>

Polynomial Functions >> Evaluating

Polynomial Functions

Mathematics 10 Lesson 1:

Polynomial Functions, Polynomial

Functions

Derives inductively the

relations among chords,

arcs, central angles, and

inscribed angles.

Circles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 2 >>

Concepts on Circles >> Circles

Mathematics 10 Lesson 1: The

Circle, Chords, Arcs, and Central

Angles of a Circle

Inscribed Angles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 2 >>

Inscribed Angles >> Inscribed

Angles

Theorems on Chords of a Circle

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 2 >>

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Theorems on Chords of a Circle >>

Theorems on Chords of a Circle

Proves theorems related to

chords, arcs, central angles,

and inscribed angles.

Chords/Midpoints/Central

Angles/ Inscribed Angles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 2 >>

Concepts on Circles >>

Chords/Midpoints/Central Angles/

Inscribed Angles

Mathematics 10 Lesson 2: The

Circle, Arcs and Inscribed Angles of

a Circle

Arcs and Central Angles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 2 >> Arcs

and Central Angles >> Arcs and

Central Angles

Theorems on Chords of a Circle

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 2 >>

Theorems on Chords of a Circle >>

Theorems on Chords of a Circle

Illustrates secants, tangents,

segments, and sectors of a

circle.

Secant and Tangent Lines/

Segments and Sectors of a

Circle

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 2 >>

Concepts on Circles >> Secant and

Tangent Lines/ Segments and

Sectors of a Circle

Mathematics 10 Lesson 3: The

Circle, Secants and Tangents of a

Circle

Circle and Circle Relationships

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 2 >>

Circle and Circle Relationships >>

Circle and Circle Relationships

Properties of a Line Tangent to

a Circle

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 2 >>

Properties of a Line Tangent to a

Circle >> Properties of a Line

Tangent to a Circle

MATHEMATICS

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screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Proves theorems on

secants, tangents, and

segments.

Theorem Related to Secants/

Theorem Related to Tangents/

Theorem Involving Lines and

Circles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 2 >>

Proving Theorem on Secants,

Tangents and Circles >> Theorem

Related to Secants/ Theorem

Related to Tangents/ Theorem

Involving Lines and Circles

Properties of a Line Tangent to

a Circle

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 2 >>

Properties of a Line Tangent to a

Circle >> Properties of a Line

Tangent to a Circle

Solves problems on circles.

Solving Problems Involving

Circles and Lines

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 2 >>

Concepts on Circles >> Solving

Problems Involving Circles and Lines

Circle and Circle Relationships

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 2 >>

Circle and Circle Relationships >>

Circle and Circle Relationships

Applies the distance formula

to prove some geometric

properties.

Distance Formula

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 2 >>

Distance Formula >> Distance

Formula

Mathematics 10 Lesson 1:

Coordinate Geometry, The Distance

and the Midpoint Formula

Illustrates the center-radius

form of the equation of a

circle.

Mathematics 10 Lesson 2:

Coordinate Geometry, The Equation

of a Circle and Its Graph

MATHEMATICS

Copyright notice: No part of this document may be reproduced or transmitted in any form or by any means electronic or mechanical including recording, printing,

screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Determines the center and

radius of a circle given its

equation and vice versa.

Mathematics 10 Lesson 2:

Coordinate Geometry, The Equation

of a Circle and Its Graph

Graphs and solves problems

involving circles and other

geometric figures on the

coordinate plane.

Mathematics 10 Lesson 3:

Coordinate Geometry, Graphs of

Other Geometric Figures

Third Quarter

Illustrates the permutation of

objects.

What is Permutation?

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Permutation >> What is

Permutation?

Mathematics 10 Lesson 1:

Combinatorics, Permutation

What is Permutation?

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 4 >>

Combinatorics >> What is

Permutation?

Permutations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Permutations >> Permutations

Solves problems involving

permutations

Permutation and Word Problem

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 4 >>

Combinatorics >> Permutation and

Word Problem

Mathematics 10 Lesson 1:

Combinatorics, Permutation

Permutations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Permutations >> Permutations

MATHEMATICS

Copyright notice: No part of this document may be reproduced or transmitted in any form or by any means electronic or mechanical including recording, printing,

screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Illustrates the combination of

objects.

Combination

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Basis Combinational Concepts >>

Combination

Mathematics 10 Lesson 2:

Combinatorics, Combination

Combination of Objects

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 4 >>

Combinatorics >> Combination of

Objects

Combinations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Combinations >> Combinations

Differentiates permutation

from combination of n

objects taken r at a time.

Permutation of n Objects Taken

r at a Time

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 4 >>

Combinatorics >> Permutation of n

Objects Taken r at a Time

Combinations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Combinations >> Combinations

Mathematics 10 Lesson 2:

Combinatorics, Combination

Solves problems involving

permutations and

combinations.

Permutation and Combination

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 4 >>

Combinatorics >> Permutation and

Combination

Permutations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Permutations >> Permutations

Mathematics 10 Lesson 1:

Combinatorics, Permutation

Combinations

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Combinations >> Combinations

Mathematics 10 Lesson 2:

Combinatorics, Combination

MATHEMATICS

Copyright notice: No part of this document may be reproduced or transmitted in any form or by any means electronic or mechanical including recording, printing,

screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Illustrates events, and union

and intersection of events.

Union of an Event/ Intersection

of an Event

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Probability >> Union of an Event/

Intersection of an Event

Mathematics 10 Lesson 1:

Probability of Compound Events,

Union of Events

Probability of Dependent and

Independent Events

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Probability of Dependent and

Independent Events >> Probability of

Dependent and Independent Events

Mathematics 10 Lesson 2:

Probability of Compound Events,

Intersection of Events

Illustrates the probability of a

union of two events.

Event Relations and Probability

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Event Relations and Probability >>

Event Relations and Probability

Mathematics 10 Lesson 1:

Probability of Compound Events,

Union of Events

Probability of Dependent and

Independent Events

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Probability of Dependent and

Independent Events >> Probability of

Dependent and Independent Events

Finds the probability of ( )

BAU .

Conditional Probability

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Conditional Probability >>

Conditional Probability

Illustrates mutually exclusive

events.

Mutually Exclusive Events

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Probability >> Mutually Exclusive

Events

Conditional Probability

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Conditional Probability >>

Conditional Probability

MATHEMATICS

Copyright notice: No part of this document may be reproduced or transmitted in any form or by any means electronic or mechanical including recording, printing,

screen shot, or any information storage and retrieval systems, without permission in writing from Diwa Learning Systems Inc.

Solves problems involving

probability.

Event Relations and Probability

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Event Relations and Probability >>

Event Relations and Probability

Probability of Dependent and

Independent Events

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Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Probability of Dependent and

Independent Events >> Probability of

Dependent and Independent Events

Conditional Probability

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Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 3 >>

Conditional Probability >>

Conditional Probability

Fourth Quarter

Illustrates the following

measures of position:

quartiles, deciles, and

percentiles.

Measures of Position:

Percentile/Quartile/Decile

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 4 >>

Statistics: Data Organization and

Presentation >> Measures of

Position: Percentile/Quartile/Decile

Mathematics 10 Lesson 3 The

Measures of Position and Shape,

Measures of Shape

Quartiles

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Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 4 >>

Quartiles >> Quartiles

Mathematics 10 Lesson 1 The

Measures of Position and Shape,

The Quartiles

Deciles

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Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 4 >>

Deciles >> Deciles

Mathematics 10 Lesson 2 The

Measures of Position and Shape,

Deciles and Percentiles

Percentiles

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Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 4 >>

Percentiles >> Percentiles

MATHEMATICS

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Calculates a specified

measure of position (e.g.

90th percentile) of a set of

data.

Quartiles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 4 >>

Quartiles >> Quartiles

Mathematics 10 Lesson 1 The

Measures of Position and Shape,

The Quartiles

Deciles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 4 >>

Deciles >> Deciles

Mathematics 10 Lesson 2 The

Measures of Position and Shape,

Deciles and Percentiles

Percentiles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 4 >>

Percentiles >> Percentiles

Interprets measures of

position.

Box Plot

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 4 >> Box

Plot >> Box Plot

Solves problems involving

measures of position.

Quartiles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 4 >>

Quartiles >> Quartiles

Mathematics 10 Lesson 1 The

Measures of Position and Shape,

The Quartiles

Deciles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 4 >>

Deciles >> Deciles

Mathematics 10 Lesson 2 The

Measures of Position and Shape,

Deciles and Percentiles

Percentiles

Library >> Genyo Lesson Bank >>

Genyolm Tab >> Math >> Grade 10

K-12 Mathematics >> Unit 4 >>

Percentiles >> Percentiles

Formulates statistical mini-

research.

Mathematics 10 Lesson 1 Statistical

Research, Introduction to Research

Writing

Uses appropriate measures

of position and other

statistical methods in

analyzing and interpreting

research data.

Mathematics 10 Lesson 2 Statistical

Research, Descriptive Statistical

Research