NUMBERS

Whole Numbers: Place value and total value of digits up to hundreds of thousands

By the end of the lesson, the learner should be able to:

- Identify place value of digits up to hundreds of thousands using place value charts.
- Relate the place value to the value of a number.
- Show interest in relating place values in real life.

In groups, learners are guided to:
- Complete a pattern showing numbers from 9 to 100,000.
- Identify place values up to hundreds of thousands using place value apparatus.
- Discuss the place values of hundreds of thousands (HTh), ten thousands (TTh), thousands (Th), hundreds (H), tens (T) and ones (O).
- Write numbers on place value charts.
- Share their findings with other groups.

Where is place value used in real life?

- KLB Mathematics Learner's Book Grade 5 page 1.
- Place value apparatus.
- Number charts.
- Number cards.
- Multiplication tables.
- KLB Mathematics Learner's Book Grade 5 page 2.
- Place value charts.
- Abacus.
- Manila paper.

- Observation. - Oral questions. - Written exercises.

NUMBERS

Whole Numbers: Place value and total value of digits up to hundreds of thousands
Whole Numbers: Numbers up to hundreds of thousands in symbols
Whole Numbers: Numbers up to hundreds of thousands in symbols
Whole Numbers: Reading, writing and relating numbers up to tens of thousands in words

By the end of the lesson, the learner should be able to:

- Determine the total value of digits in 6-digit numbers.
- Recognize the importance of total values in real-life situations.
- Show interest in using total value to solve problems.

In groups, learners are guided to:
- Write any 6-digit numbers.
- Represent the numbers on place value charts.
- Read the number relating each digit to its place value.
- Write the total value of each digit.
- Solve problems involving total values of digits.
- Share with other groups.

How does total value differ from place value?

- KLB Mathematics Learner's Book Grade 5 page 3.
- Place value charts.
- Number cards.
- Word problems.
- KLB Mathematics Learner's Book Grade 5 page 4.
- Number charts.
- KLB Mathematics Learner's Book Grade 5 page 6.
- Charts with numbers.
- KLB Mathematics Learner's Book Grade 5 page 7.
- Word cards.

- Written exercises. - Oral questions. - Observation. - Group discussion.

NUMBERS

Whole Numbers: Reading, writing and relating numbers up to tens of thousands in words
Whole Numbers: Ordering numbers up to tens of thousands

By the end of the lesson, the learner should be able to:

- Read numbers from 50,001 to 99,999 in words.
- Write numbers from 50,001 to 99,999 in words.
- Show interest in reading and writing numbers in words.

In groups, learners are guided to:
- Write digits on cards.
- Arrange the cards to form 5-digit numbers greater than 50,000.
- Write the numbers formed in words.
- Read numbers in words.
- Form other numbers and write them in words.
- Share with other groups.

How do we read and write large numbers in words?

- KLB Mathematics Learner's Book Grade 5 page 9.
- Number cards.
- Charts with numbers.
- Word cards.
- KLB Mathematics Learner's Book Grade 5 page 10.
- Place value charts.
- KLB Mathematics Learner's Book Grade 5 page 11.
- Manila paper.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Whole Numbers: Ordering numbers up to tens of thousands
Whole Numbers: Rounding off numbers up to tens of thousands
Whole Numbers: Rounding off numbers up to tens of thousands

By the end of the lesson, the learner should be able to:

- Arrange numbers from the largest to the smallest.
- Solve problems involving ordering of numbers.
- Show interest in ordering numbers in real life.

In groups, learners are guided to:
- Each member writes a digit on a card.
- Use the digits on cards to form 5-digit numbers.
- Arrange the numbers formed from largest to smallest.
- Discuss and share with other groups.

How does ordering of numbers help us in daily life?

- KLB Mathematics Learner's Book Grade 5 page 13.
- Number cards.
- Place value charts.
- Charts with numbers.
- KLB Mathematics Learner's Book Grade 5 page 15.
- Number lines.
- KLB Mathematics Learner's Book Grade 5 page 17.
- Manila paper.

- Written exercises. - Oral questions. - Group discussions.

NUMBERS

Whole Numbers: Divisibility tests of 2, 5 and 10

By the end of the lesson, the learner should be able to:

- Identify numbers divisible by 2.
- Apply divisibility test of 2 in solving problems.
- Show interest in determining divisibility of numbers.

In groups, learners are guided to:
- Divide given numbers by 2.
- List numbers divisible by 2 without remainder.
- Observe patterns in the last digits of numbers divisible by 2.
- Discuss findings and share with other groups.

How can we quickly check if a number is divisible by 2?

- KLB Mathematics Learner's Book Grade 5 page 18.
- Number cards.
- Charts with numbers.
- Multiplication tables.
- KLB Mathematics Learner's Book Grade 5 page 20.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Whole Numbers: Divisibility tests of 2, 5 and 10
Whole Numbers: Highest Common Factor (HCF) and Greatest Common Divisor (GCD)

By the end of the lesson, the learner should be able to:

- Identify numbers divisible by 10.
- Apply divisibility tests of 2, 5, and 10 in solving problems.
- Develop critical thinking in applying divisibility tests.

In groups, learners are guided to:
- Identify numbers that are multiples of 10.
- Observe the last digit in each multiple of 10.
- Determine the divisibility rule for 10.
- Apply divisibility tests of 2, 5, and 10 in solving problems.
- Share findings with other groups.

How are divisibility tests for 2, 5, and 10 related?

- KLB Mathematics Learner's Book Grade 5 page 22.
- Number cards.
- Charts with numbers.
- Multiplication tables.
- KLB Mathematics Learner's Book Grade 5 page 23.
- Charts with factors.
- Bottle tops.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Whole Numbers: Highest Common Factor (HCF) and Greatest Common Divisor (GCD)

By the end of the lesson, the learner should be able to:

- Identify common factors and common divisors of numbers.
- Solve problems involving common factors and divisors.
- Appreciate the use of common factors in real life.

In groups, learners are guided to:
- Pick two numbers between 10 and 30.
- List the factors or divisors of each number.
- Find the common factors and common divisors.
- Discuss and share results with other groups.

Where do we use common factors in real life?

- KLB Mathematics Learner's Book Grade 5 page 24.
- Number cards.
- Charts with factors.
- Multiplication tables.
- KLB Mathematics Learner's Book Grade 5 page 25.
- Manila paper.

- Written exercises. - Oral questions. - Group discussions.

NUMBERS

Whole Numbers: Least Common Multiple (LCM)

By the end of the lesson, the learner should be able to:

- Identify multiples of numbers.
- Find common multiples of numbers.
- Develop interest in determining multiples of numbers.

In groups, learners are guided to:
- List the first ten counting numbers.
- Multiply a chosen number by each counting number.
- List the products obtained as multiples.
- Identify common multiples of different numbers.
- Share results with other groups.

What are multiples and how do we find them?

- KLB Mathematics Learner's Book Grade 5 page 27.
- Number cards.
- Charts with multiples.
- Multiplication tables.
- KLB Mathematics Learner's Book Grade 5 page 28.
- Manila paper.

- Written exercises. - Oral questions. - Group discussions.

NUMBERS

Addition: Addition of up to three 6-digit numbers without regrouping
Addition: Addition of up to two 6-digit numbers with double regrouping

By the end of the lesson, the learner should be able to:

- Add up to three 6-digit numbers without regrouping.
- Align digits according to place values when adding.
- Show interest in adding large numbers.

In groups, learners are guided to:
- Represent 6-digit numbers on an abacus.
- Count the number of rings in each place value.
- Add the numbers starting from ones place value.
- Align the digits according to their place values.
- Share results with other groups.

How do we add large numbers without regrouping?

- KLB Mathematics Learner's Book Grade 5 page 29.
- Place value chart.
- Abacus.
- Number cards.
- KLB Mathematics Learner's Book Grade 5 page 31.
- Place value apparatus.
- Word problems.
- KLB Mathematics Learner's Book Grade 5 page 32.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Addition: Addition of up to two 6-digit numbers with double regrouping
Addition: Estimating sum by rounding off

By the end of the lesson, the learner should be able to:

- Add numbers with double regrouping.
- Solve problems involving addition with regrouping.
- Develop interest in adding large numbers.

In groups, learners are guided to:
- Write numbers in place value charts.
- Add the digits in each place value starting from ones.
- Regroup when necessary.
- Solve problems involving addition with double regrouping.
- Share results with other groups.

Why do we need to regroup when adding numbers?

- KLB Mathematics Learner's Book Grade 5 page 33.
- Place value chart.
- Abacus.
- Word problems.
- KLB Mathematics Learner's Book Grade 5 page 35.
- Number line.
- Number cards.

- Written exercises. - Oral questions. - Group discussions.

NUMBERS

Addition: Creating patterns involving addition
Subtraction: Subtraction of up to 6-digit numbers without regrouping

By the end of the lesson, the learner should be able to:

- Create patterns involving addition up to a sum of 1,000,000.
- Identify rules in addition patterns.
- Show interest in making number patterns.

In groups, learners are guided to:
- Write a number less than 100 on a card.
- Add a fixed number to get the next term in the pattern.
- Continue adding the same number to form a pattern.
- Identify the rule in the pattern.
- Share results with other groups.

How do we create and use number patterns?

- KLB Mathematics Learner's Book Grade 5 page 38.
- Number cards.
- Manila paper.
- Charts with patterns.
- KLB Mathematics Learner's Book Grade 5 page 40.
- Place value chart.
- Abacus.

- Written exercises. - Oral questions. - Group discussions.

NUMBERS

Subtraction: Subtraction of up to 6-digit numbers with regrouping

By the end of the lesson, the learner should be able to:

- Subtract up to 6-digit numbers with regrouping.
- Explain the process of regrouping in subtraction.
- Show interest in subtracting numbers with regrouping.

In groups, learners are guided to:
- Represent numbers on an abacus.
- Transfer rings from higher place values when necessary.
- Subtract by removing rings from each place value.
- Discuss the process of regrouping.
- Share results with other groups.

How does regrouping work in subtraction?

- KLB Mathematics Learner's Book Grade 5 page 42.
- Place value chart.
- Abacus.
- Number cards.
- KLB Mathematics Learner's Book Grade 5 page 43.
- Word problems.

- Written exercises. - Oral questions. - Group discussions.

NUMBERS

Subtraction: Estimating difference by rounding off
Subtraction: Combined operations (addition and subtraction)

By the end of the lesson, the learner should be able to:

- Estimate differences by rounding off the minuend and subtrahend.
- Apply estimation in real-life situations.
- Develop interest in estimating differences.

In groups, learners are guided to:
- Draw number lines with marked intervals.
- Estimate the position of numbers on number lines.
- Round off numbers to the nearest hundred or thousand.
- Find the difference between rounded numbers.
- Share results with other groups.

Why do we estimate differences in daily life?

- KLB Mathematics Learner's Book Grade 5 page 45.
- Number line.
- Number cards.
- Place value chart.
- KLB Mathematics Learner's Book Grade 5 page 47.
- Word problems.

- Written exercises. - Oral questions. - Group discussions.

NUMBERS

Subtraction: Creating patterns involving subtraction
Multiplication: Multiplying up to 3-digit by up to 2-digit numbers
Multiplication: Multiplying up to 3-digit by up to 2-digit numbers

By the end of the lesson, the learner should be able to:

- Create patterns involving subtraction from up to 1,000,000.
- Identify rules in subtraction patterns.
- Appreciate patterns in real life.

In groups, learners are guided to:
- Draw a line 5 meters long on the floor.
- Mark and label equal intervals on the line.
- Move backward at fixed intervals and record numbers.
- Identify the rule in the pattern.
- Create other patterns involving subtraction.
- Share results with other groups.

How can we use patterns involving subtraction?

- KLB Mathematics Learner's Book Grade 5 page 48.
- Tape measure.
- Number cards.
- Manila paper.
- Charts with patterns.
- KLB Mathematics Learner's Book Grade 5 page 50.
- Multiplication tables.
- Word problems.
- KLB Mathematics Learner's Book Grade 5 page 52.

- Written exercises. - Oral questions. - Group discussions.

NUMBERS

Multiplication: Multiplying up to 3-digit by up to 2-digit numbers
Multiplication: Estimating products by rounding off

By the end of the lesson, the learner should be able to:

- Multiply a 3-digit number by a 2-digit number with regrouping.
- Solve problems involving multiplication with regrouping.
- Appreciate the use of multiplication in real life.

In groups, learners are guided to:
- Write 2-digit numbers in expanded form.
- Multiply 3-digit numbers by 2-digit numbers with regrouping.
- Solve word problems involving multiplication.
- Discuss and share results with other groups.

Where do we use multiplication in daily life?

- KLB Mathematics Learner's Book Grade 5 page 53.
- Multiplication tables.
- Number cards.
- Word problems.
- KLB Mathematics Learner's Book Grade 5 page 54.
- Place value chart.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Multiplication: Making patterns involving multiplication

By the end of the lesson, the learner should be able to:

- Create patterns involving multiplication.
- Identify rules in multiplication patterns.
- Develop interest in making number patterns.

In groups, learners are guided to:
- Arrange cards with numbers from smallest to largest.
- Identify patterns in the numbers.
- Create patterns by multiplying a starting number by a fixed factor.
- Identify rules in the patterns.
- Share results with other groups.

How do we create and recognize multiplication patterns?

- KLB Mathematics Learner's Book Grade 5 page 56.
- Number cards.
- Manila paper.
- Charts with patterns.
- KLB Mathematics Learner's Book Grade 5 page 57.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Division: Division of up to 3-digit by up to 2-digit numbers

By the end of the lesson, the learner should be able to:

- Divide 2-digit numbers by 2-digit numbers.
- Apply division in solving problems.
- Show interest in dividing numbers.

In groups, learners are guided to:
- List multiples of divisors up to the dividend.
- Find the number that when multiplied by the divisor gives the dividend.
- Solve problems involving division.
- Discuss terms like dividend, divisor, and quotient.
- Share results with other groups.

How is division used to solve real-life problems?

- KLB Mathematics Learner's Book Grade 5 page 58.
- Number cards.
- Division charts.
- Word problems.
- KLB Mathematics Learner's Book Grade 5 page 60.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Division: Relationship between multiplication and division
Division: Estimating quotients by rounding off

By the end of the lesson, the learner should be able to:

- Apply the relationship between multiplication and division.
- Use multiplication to check division answers.
- Show interest in the relationship between operations.

In groups, learners are guided to:
- Multiply two numbers.
- Use the product to complete related division equations.
- Discuss the relationship between multiplication and division.
- Solve problems using the relationship.
- Share results with other groups.

How are multiplication and division related?

- KLB Mathematics Learner's Book Grade 5 page 63.
- Number cards.
- Multiplication tables.
- Word problems.
- KLB Mathematics Learner's Book Grade 5 page 64.
- Place value chart.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Division: Combined operations (addition, subtraction, multiplication, division)

By the end of the lesson, the learner should be able to:

- Perform combined operations involving addition, subtraction, multiplication, and division.
- Follow the correct order of operations.
- Develop interest in solving combined operations.

In groups, learners are guided to:
- Multiply two numbers.
- Add another number to the product.
- Work out questions involving multiple operations.
- Discuss the order of operations (DMAS).
- Share results with other groups.

What is the correct order in combined operations?

- KLB Mathematics Learner's Book Grade 5 page 65.
- Number cards.
- Charts with order of operations.
- Word problems.
- KLB Mathematics Learner's Book Grade 5 page 67.
- Division wheels.
- Number puzzles.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Fractions: Simplifying fractions
Fractions: Comparing fractions
Fractions: Ordering fractions with denominators not exceeding 12

By the end of the lesson, the learner should be able to:

- Simplify fractions to lowest terms.
- Use fraction charts to simplify fractions.
- Appreciate the use of simplified fractions.

In groups, learners are guided to:
- Use fraction charts to simplify fractions.
- Identify equivalent fractions.
- Simplify fractions to lowest terms.
- Discuss and share results with other groups.

Why do we need to simplify fractions?

- KLB Mathematics Learner's Book Grade 5 page 72.
- Fraction charts.
- Fraction boards.
- Circular cut-outs.
- KLB Mathematics Learner's Book Grade 5 page 74.
- Paper strips.
- KLB Mathematics Learner's Book Grade 5 page 76.
- Number lines.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Fractions: Adding fractions with same denominator
Fractions: Subtracting fractions with same denominator

By the end of the lesson, the learner should be able to:

- Add fractions with the same denominator.
- Use pictorial representations to add fractions.
- Appreciate the application of addition of fractions.

In pairs, learners are guided to:
- Draw circles and divide them into equal parts.
- Color different parts of the circles.
- Count the total colored parts to find the sum.
- Work out addition of fractions with same denominators.
- Share results with other groups.

How do we add fractions with the same denominator?

- KLB Mathematics Learner's Book Grade 5 page 77.
- Circular cut-outs.
- Fraction charts.
- Number lines.
- KLB Mathematics Learner's Book Grade 5 page 79.
- Rectangular cut-outs.

- Written exercises. - Oral questions. - Group discussions.

NUMBERS

Fractions: Adding fractions with one renaming
Fractions: Subtracting fractions with one renaming

By the end of the lesson, the learner should be able to:

- Add fractions with different denominators using one renaming.
- Use fraction boards to add fractions.
- Develop interest in adding fractions.

In groups, learners are guided to:
- Use fraction boards to write equivalent fractions.
- Find common denominators for pairs of fractions.
- Add fractions after converting to equivalent fractions.
- Discuss the process of renaming fractions.
- Share results with other groups.

Why do we need to rename fractions before adding?

- KLB Mathematics Learner's Book Grade 5 page 80.
- Fraction boards.
- Fraction charts.
- Circular cut-outs.
- KLB Mathematics Learner's Book Grade 5 page 81.
- Rectangular cut-outs.

- Written exercises. - Oral questions. - Group discussions.

NUMBERS

Fractions: Subtracting fractions with one renaming
Decimals: Place value of decimals up to thousandths

By the end of the lesson, the learner should be able to:

- Solve word problems involving subtraction of fractions.
- Apply subtraction of fractions in real-life situations.
- Appreciate the use of fractions in real life.

In groups, learners are guided to:
- Write fractions as equivalent fractions with common denominators.
- Subtract fractions with different denominators.
- Solve word problems involving subtraction of fractions.
- Discuss real-life applications of fractions.
- Share results with other groups.

Where do we use subtraction of fractions in daily life?

- KLB Mathematics Learner's Book Grade 5 page 82.
- Fraction charts.
- Word problems.
- Rectangular cut-outs.
- KLB Mathematics Learner's Book Grade 5 page 83.
- Place value charts.
- Number cards.
- Decimal charts.

- Written exercises. - Oral questions. - Group discussions.

NUMBERS

Decimals: Place value of decimals up to thousandths
Decimals: Ordering decimals up to thousandths

By the end of the lesson, the learner should be able to:

- Identify the place value of digits in decimal numbers.
- Represent decimals on place value charts.
- Appreciate the use of decimals in real life.

In groups, learners are guided to:
- Copy and complete tables showing place values of decimals.
- Identify place values of digits in decimal numbers.
- Represent decimal numbers on abacus.
- Discuss real-life applications of decimals.
- Share results with other groups.

Where are decimals used in real life?

- KLB Mathematics Learner's Book Grade 5 page 84.
- Place value charts.
- Abacus.
- Number cards.
- Decimal charts.
- KLB Mathematics Learner's Book Grade 5 page 86.
- Number lines.

- Written exercises. - Oral questions. - Group discussions.

NUMBERS

Decimals: Adding decimals up to thousandths
Decimals: Subtracting decimals up to thousandths
Decimals: Subtracting decimals up to thousandths

By the end of the lesson, the learner should be able to:

- Add decimals up to thousandths.
- Align decimal points when adding.
- Show interest in adding decimals.

In groups, learners are guided to:
- Represent decimal numbers on abacus.
- Count rings in each place value.
- Add decimals aligning the decimal points.
- Solve problems involving addition of decimals.
- Share results with other groups.

How do we add decimal numbers?

- KLB Mathematics Learner's Book Grade 5 page 88.
- Place value charts.
- Abacus.
- Number cards.
- Word problems.
- KLB Mathematics Learner's Book Grade 5 page 90.
- KLB Mathematics Learner's Book Grade 5 page 92.

- Written exercises. - Oral questions. - Group discussions.

NUMBERS

Simple Equations: Forming simple equations with one unknown

By the end of the lesson, the learner should be able to:

- Form simple equations involving addition and subtraction.
- Represent real-life situations using equations.
- Show interest in forming equations.

In groups, learners are guided to:
- Put objects on a beam balance.
- Count objects needed to balance the beam.
- Represent the balancing using equations.
- Form equations to represent real-life situations.
- Share results with other groups.

How do we represent real-life situations using equations?

- KLB Mathematics Learner's Book Grade 5 page 94.
- Beam balance.
- Bottle tops.
- Objects of different weights.
- Word problems.
- KLB Mathematics Learner's Book Grade 5 page 96.
- Number cards.
- Letter cards.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Simple Equations: Forming simple equations with one unknown
Simple Equations: Solving simple equations with one unknown

By the end of the lesson, the learner should be able to:

- Form equations involving combined operations.
- Translate word problems into equations.
- Show interest in forming and interpreting equations.

In groups, learners are guided to:
- Take a number and perform multiple operations on it.
- Form equations to represent the operations.
- Translate word problems into mathematical equations.
- Discuss and share results with other groups.

How can we translate word problems into equations?

- KLB Mathematics Learner's Book Grade 5 page 98.
- Number cards.
- Letter cards.
- Word problems.
- KLB Mathematics Learner's Book Grade 5 page 99.
- Beam balance.
- Bottle tops.

- Written exercises. - Oral questions. - Observation.

NUMBERS
Numbers

Simple Equations: Solving simple equations with one unknown
Whole Numbers - Place value and total value of digits up to tens of thousands

By the end of the lesson, the learner should be able to:

- Solve simple equations involving multiplication and division.
- Apply the inverse operations to solve equations.
- Show interest in solving equations.

In groups, learners are guided to:
- Use beam balance to represent equations.
- Find how many objects balance one unknown object.
- Solve equations involving multiplication and division.
- Apply inverse operations to isolate the unknown.
- Share results with other groups.

How do we solve equations involving multiplication and division?

- KLB Mathematics Learner's Book Grade 5 page 100.
- Beam balance.
- Bottle tops.
- Number cards.
- Word problems.
- KLB Mathematics Learner's Book Grade 5 page 102.
- Letter cards.
KLB Mathematics Grade 4 Learner's Book pg. 1
- Place value apparatus
- Number charts
- Number cards

- Written exercises. - Oral questions. - Observation.

Numbers

Whole Numbers - Total value of digits up to tens of thousands
Whole Numbers - Reading and writing numbers up to 10,000 in symbols
Whole Numbers - Reading and writing numbers up to 1,000 in words
Whole Numbers - Ordering numbers up to 1,000

By the end of the lesson, the learner should be able to:

- Identify total values of digits up to tens of thousands in daily life situations.
- Show interest in identifying total values of digits.

- In pairs, learners use place value charts to identify total values of digits up to ten thousand.
-Learners practice writing a 5-digit number and identifying the total value of each digit in the number.

Why do we determine the place value of a digit in a number?

KLB Mathematics Grade 4 Learner's Book pg. 5
- Place value apparatus
- Place value charts
- Number cards
KLB Mathematics Grade 4 Learner's Book pg. 6
- Number charts
- Abacus
KLB Mathematics Grade 4 Learner's Book pg. 9
- Flash cards
KLB Mathematics Grade 4 Learner's Book pg. 12
- Number cards
- Number line

- Observation - Oral questions - Written assignments

Numbers

Whole Numbers - Rounding off numbers up to 1,000 to the nearest ten
Whole Numbers - Factors of numbers up to 50
Whole Numbers - Multiples of numbers up to 100
Whole Numbers - Multiples of numbers 6 to 10

By the end of the lesson, the learner should be able to:

- Round off numbers up to 1,000 to the nearest ten in different situations.
- Show interest in rounding off numbers.

- In pairs or groups or individually, learners round off numbers up to 1,000 to the nearest ten and share with others.
-Learners practice estimating and then measuring actual lengths of objects.

How do you round off numbers to the nearest ten?

KLB Mathematics Grade 4 Learner's Book pg. 13
- Number line
- Number cards
- Measuring tools
KLB Mathematics Grade 4 Learner's Book pg. 16
- Multiplication tables
- Counters
KLB Mathematics Grade 4 Learner's Book pg. 19
- Number charts
KLB Mathematics Grade 4 Learner's Book pg. 20

- Observation - Oral questions - Written assignments

Numbers

Whole Numbers - Even and odd numbers up to 100
Whole Numbers - Patterns involving even and odd numbers

By the end of the lesson, the learner should be able to:

- Use even and odd numbers up to 100 in different situations.
- Develop interest in identifying even and odd numbers.

- In groups, learners identify even and odd numbers up to 100 and share with others.
-Learners practice arranging bottle tops in pairs to identify even and odd numbers.

How can you distinguish between even and odd numbers?

KLB Mathematics Grade 4 Learner's Book pg. 20
- Bottle tops
- Number cards
- Number charts
KLB Mathematics Grade 4 Learner's Book pg. 21
- Number charts
- Digital devices

- Observation - Oral questions - Written assignments

Numbers

Whole Numbers - Roman numerals up to X
Addition - Addition up to two 4-digit numbers with single regrouping

By the end of the lesson, the learner should be able to:

- Represent Hindu Arabic numerals using Roman numerals up to 'X' in different situations.
- Appreciate use of whole numbers in real life situations.

- In groups, learners write Hindu Arabic numerals using Roman numerals up to 'X' using number charts.
-In groups, learners use digital devices to play digital games involving whole numbers.

Why do we use Roman numerals?

KLB Mathematics Grade 4 Learner's Book pg. 22
- Number charts
- Flash cards
- Digital devices
KLB Mathematics Grade 4 Learner's Book pg. 23
- Number cards
- Place value charts
- Place value apparatus

- Observation - Oral questions - Written assignments

Numbers

Addition - Addition of 4-digit to 2-digit numbers
Addition - Addition of 4-digit to 3-digit numbers
Addition - Addition up to two 4-digit numbers with double regrouping

By the end of the lesson, the learner should be able to:

- Add a 4-digit number to a 2-digit number with regrouping.
- Appreciate addition in solving day to day problems.

- In groups, learners practice adding 4-digit numbers to 2-digit numbers using place value charts.
-Learners solve real-life problems involving addition of 4-digit and 2-digit numbers.

How can addition help us solve daily problems?

KLB Mathematics Grade 4 Learner's Book pg. 25
- Number cards
- Place value charts
- Place value apparatus
KLB Mathematics Grade 4 Learner's Book pg. 26
KLB Mathematics Grade 4 Learner's Book pg. 27

- Observation - Oral questions - Written assignments

Numbers

Addition - Estimating sum by rounding off numbers
Addition - Estimating sums of 3-digit and 4-digit numbers

By the end of the lesson, the learner should be able to:

- Estimate sum by rounding off numbers to the nearest ten in different situations.
- Appreciate estimating sums in daily life.

- In groups, learners discuss and estimate sum by rounding off numbers to the nearest ten in different situations.
-Learners practice estimating answers before calculating exact answers.

Why do we estimate sums in mathematics?

KLB Mathematics Grade 4 Learner's Book pg. 28
- Number charts
- Number cards
- Number line
KLB Mathematics Grade 4 Learner's Book pg. 29

- Observation - Oral questions - Written assignments

Numbers

Addition - Creating patterns involving addition
Addition - Solving word problems involving addition

By the end of the lesson, the learner should be able to:

- Create patterns involving addition up to a sum of 10,000 in real life situations.
- Appreciate application of addition of numbers in real life situations.

- In pairs, learners generate patterns involving addition of numbers up to a sum of 10,000.
-In pairs/groups, learners play digital games involving addition.

How do you make number patterns involving addition?

KLB Mathematics Grade 4 Learner's Book pg. 30
- Number cards
- Digital devices
- Number charts
KLB Mathematics Grade 4 Learner's Book pg. 32
- Place value charts
- Word problem cards

- Observation - Oral questions - Written assignments

Numbers

Subtraction - Subtraction up to 4-digit numbers without regrouping
Subtraction - Subtraction of a 2-digit number from a 4-digit number

By the end of the lesson, the learner should be able to:

- Subtract up to 4-digit numbers without regrouping in real life situations.
- Develop interest in subtraction of numbers.

- In groups, learners subtract numbers up to 4-digit numbers without regrouping using place value apparatus prepared from locally available materials.
-Learners practice solving subtraction problems.

When do you need to subtract without regrouping?

KLB Mathematics Grade 4 Learner's Book pg. 33
- Place value apparatus
- Number cards
- Number charts
KLB Mathematics Grade 4 Learner's Book pg. 34

- Observation - Oral questions - Written assignments

Numbers

Subtraction - Subtraction of a 3-digit number from a 4-digit number
Subtraction - Subtraction up to 4-digit numbers with regrouping

By the end of the lesson, the learner should be able to:

- Subtract a 3-digit number from a 4-digit number without regrouping.
- Develop interest in subtraction of numbers.

- In groups, learners practice subtracting 3-digit numbers from 4-digit numbers without regrouping.
-Learners solve word problems involving subtraction.

When do we use subtraction in real life?

KLB Mathematics Grade 4 Learner's Book pg. 35
- Place value apparatus
- Number cards
- Number charts

- Observation - Oral questions - Written assignments

Numbers

Subtraction - Subtraction with double regrouping
Subtraction - Estimating difference by rounding off numbers
Subtraction - Estimating differences between 3-digit and 4-digit numbers

By the end of the lesson, the learner should be able to:

- Subtract 4-digit numbers with double regrouping.
- Appreciate subtraction in real life situations.

- In groups, learners practice subtracting 4-digit numbers with double regrouping.
-Learners solve word problems requiring double regrouping.

Why is regrouping important in subtraction?

KLB Mathematics Grade 4 Learner's Book pg. 36
- Place value apparatus
- Number cards
- Number charts
KLB Mathematics Grade 4 Learner's Book pg. 38
- Number line
- Number charts
- Number cards
KLB Mathematics Grade 4 Learner's Book pg. 39

- Observation - Oral questions - Written assignments

Numbers

Subtraction - Creating patterns involving subtraction
Multiplication - Multiplication of up to 2-digit number by multiples of 10

By the end of the lesson, the learner should be able to:

- Create patterns involving subtraction from up to 10,000.
- Appreciate application of subtraction of numbers in real life situations.

- In groups, learners generate patterns involving subtraction of numbers up to 10,000.
-In pairs or groups, learners play games involving subtraction using digital device or other resources.

How do you create patterns involving subtraction?

KLB Mathematics Grade 4 Learner's Book pg. 40
- Number cards
- Digital devices
- Number charts
KLB Mathematics Grade 4 Learner's Book pg. 43
- Multiplication tables
- Digital devices

- Observation - Oral questions - Written assignments

Numbers

Multiplication - Multiplication of 1-digit number by multiples of 10
Multiplication - Multiplication of 2-digit by 1-digit without regrouping

By the end of the lesson, the learner should be able to:

- Multiply a 1-digit number by multiples of 10.
- Show interest in multiplication of numbers.

- In pairs, learners multiply 1-digit numbers by multiples of 10 using number cards.
-Learners solve word problems involving multiplication by multiples of 10.

How can we multiply numbers by multiples of 10?

KLB Mathematics Grade 4 Learner's Book pg. 44
- Number cards
- Multiplication tables
- Digital devices
KLB Mathematics Grade 4 Learner's Book pg. 45
- Counters
- Multiplication tables

- Observation - Oral questions - Written assignments

Numbers

Multiplication - Multiplication of 2-digit by 1-digit with regrouping
Multiplication - Multiplication of 2-digit by 2-digit without regrouping

By the end of the lesson, the learner should be able to:

- Multiply a 2-digit number by a 1-digit number with regrouping.
- Show interest in multiplication.

- In groups, learners practice multiplying 2-digit numbers by 1-digit numbers with regrouping.
-Learners solve word problems involving multiplication.

Why do we regroup in multiplication?

KLB Mathematics Grade 4 Learner's Book pg. 46
- Number cards
- Counters
- Multiplication tables
KLB Mathematics Grade 4 Learner's Book pg. 45
- Multiplication tables
- Multiplication charts

- Observation - Oral questions - Written assignments

Numbers

Multiplication - Multiplication of 2-digit by 2-digit with regrouping
Multiplication - Estimating products by rounding off numbers

By the end of the lesson, the learner should be able to:

- Multiply up to a two-digit number by two-digit number with regrouping.
- Develop interest in multiplication of numbers.

- In pairs or groups, learners multiply up to a two-digit number by two-digit number with regrouping and prepare a corresponding multiplication chart.
-Learners practice solving multiplication problems.

Why do we regroup when multiplying numbers?

KLB Mathematics Grade 4 Learner's Book pg. 47
- Counters
- Multiplication tables
- Multiplication charts
KLB Mathematics Grade 4 Learner's Book pg. 48
- Number line
- Number charts
- Number cards

- Observation - Oral questions - Written assignments

Numbers

Multiplication - Creating patterns involving multiplication
Division - Division of 2-digit by 1-digit without remainder

By the end of the lesson, the learner should be able to:

- Create patterns involving multiplication with product not exceeding 100.
- Appreciate application of multiplication of numbers in real life situation.

- In groups, learners generate patterns involving multiplication with products not exceeding 100 and prepare multiplication charts using locally available materials.
-In groups, learners play digital games on multiplication.

How do you create patterns involving multiplication?

KLB Mathematics Grade 4 Learner's Book pg. 50
- Multiplication charts
- Digital devices
- Number cards
KLB Mathematics Grade 4 Learner's Book pg. 52
- Number cards
- Division charts
- Counters

- Observation - Oral questions - Written assignments

Numbers

Division - Division as equal sharing
Division - Division as equal grouping
Division - Division of 2-digit by 1-digit with remainder

By the end of the lesson, the learner should be able to:

- Divide objects into equal groups.
- Appreciate division as equal sharing.

- In groups, learners share objects equally among themselves.
-Learners practice dividing objects into equal groups and recording the results.

How is division related to equal sharing?

KLB Mathematics Grade 4 Learner's Book pg. 53
- Counters
- Bottle tops
- Number cards
KLB Mathematics Grade 4 Learner's Book pg. 54
- Number cards
- Division charts
- Counters

- Observation - Oral questions - Written assignments

Numbers

Division - Using long form of division
Division - Relationship between multiplication and division

By the end of the lesson, the learner should be able to:

- Use long form of division to divide numbers.
- Appreciate different methods of division.

- In groups, learners practice using the long form of division.
-Learners solve division problems using the long form.

Why do we use the long form of division?

KLB Mathematics Grade 4 Learner's Book pg. 56
- Number cards
- Division charts
- Counters
KLB Mathematics Grade 4 Learner's Book pg. 57
- Multiplication tables
- Number cards

- Observation - Oral questions - Written assignments

Numbers

Division - Solving word problems involving division
Division - Using digital resources for division

By the end of the lesson, the learner should be able to:

- Solve word problems involving division.
- Show interest in application of division.

- In groups, learners discuss and solve word problems involving division.
-Learners create their own word problems involving division.

How can we apply division to solve real life problems?

KLB Mathematics Grade 4 Learner's Book pg. 59
- Number cards
- Division charts
- Word problem cards
KLB Mathematics Grade 4 Learner's Book pg. 60
- Digital devices
- Calculator
- Educational apps

- Observation - Oral questions - Written assignments

Numbers

Fractions - Numerator and denominator in a fraction
Fractions - Representing fractions as part of a whole

By the end of the lesson, the learner should be able to:

- Identify the numerator and denominator in a fraction in different situations.
- Develop interest in fractions.

- Learners discuss in groups the top (numerator) and bottom (denominator) numbers in a fraction and share with others.
-Learners practice identifying numerator and denominator in various fractions.

When do you use fractions in real life?

KLB Mathematics Grade 4 Learner's Book pg. 61
- Fraction charts
- Circular cut-outs
- Counters
KLB Mathematics Grade 4 Learner's Book pg. 62
- Rectangular cut-outs
- Clock face

- Observation - Oral questions - Written assignments

Numbers

Fractions - Representing fractions as part of a group
Fractions - Types of fractions
Fractions - Converting improper fractions to mixed fractions
Fractions - Converting mixed fractions to improper fractions

By the end of the lesson, the learner should be able to:

- Represent a fraction with denominators not exceeding 12 as part of a groupg.
- Appreciate using fractions to represent parts of a group.

- Learners illustrate in pairs/groups fractions as part of a group using cut outs, counters or clock face.
-Learners practice representing different fractions as part of a group.

How do fractions represent parts of a group?

KLB Mathematics Grade 4 Learner's Book pg. 63
- Counters
- Bottle tops
- Clock face
KLB Mathematics Grade 4 Learner's Book pg. 66
- Paper cut-outs
- Fraction charts
KLB Mathematics Grade 4 Learner's Book pg. 67
- Circular cut-outs
- Fraction charts
- Counters
KLB Mathematics Grade 4 Learner's Book pg. 68

- Observation - Oral questions - Written assignments