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.

- Observation. - Oral questions. - Written exercises.

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 and state the place value of digits in up to 6-digit numbers.
- Represent 6-digit numbers on an abacus.
- Appreciate the use of place value in representing numbers.

In groups, learners are guided to:
- Write three 6-digit numbers.
- Identify the place value of each digit in the numbers.
- Represent numbers on an abacus.
- Copy and fill place value tables for given numbers.
- Discuss and share with other groups.

How do we represent large numbers?

- KLB Mathematics Learner's Book Grade 5 page 2.
- Place value charts.
- Abacus.
- Manila paper.
- KLB Mathematics Learner's Book Grade 5 page 3.
- Number cards.
- Word problems.

- Written exercises. - Oral questions. - Observation.

NUMBERS

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:

- Read numbers up to hundreds of thousands in symbols.
- Write numbers up to hundreds of thousands in symbols.
- Develop interest in reading numbers up to hundreds of thousands.

In groups, learners are guided to:
- Write 6-digit numbers less than 500,000 on number cards.
- Read the numbers by relating each digit to its place value.
- Read numbers from number charts and cards.
- Discuss and share with other groups.

Why do we need to read large numbers in symbols?

- KLB Mathematics Learner's Book Grade 5 page 4.
- Number cards.
- Place value charts.
- 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.

- Oral questions. - Written exercises. - Observation.

NUMBERS

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:

- 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.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Whole Numbers: Ordering numbers up to tens of thousands

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

- Arrange numbers from the smallest to the largest.
- Compare different 5-digit numbers.
- Develop critical thinking in arranging numbers.

In groups, learners are guided to:
- Write six 5-digit numbers on cards.
- Arrange the cards with numbers from smallest to largest.
- Observe and discuss what they notice when arranging numbers.
- Share results with other groups.

Where is ordering of numbers used in real life?

- KLB Mathematics Learner's Book Grade 5 page 11.
- Number cards.
- Place value charts.
- Manila paper.
- KLB Mathematics Learner's Book Grade 5 page 13.
- Charts with numbers.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Whole Numbers: Rounding off numbers up to tens of thousands

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

- Round off numbers to the nearest hundred.
- Use number lines to illustrate rounding off.
- Appreciate the importance of rounding off numbers.

In groups, learners are guided to:
- Draw number lines marking and labeling equal intervals.
- List numbers on the number line smaller than and greater than midpoint.
- Check whether numbers are nearer to lower or upper hundred.
- Discuss rounding off rules and share with other groups.

Why do we round off numbers?

- KLB Mathematics Learner's Book Grade 5 page 15.
- Number lines.
- Number cards.
- Charts with numbers.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Whole Numbers: Rounding off numbers up to tens of thousands

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

- Round off numbers to the nearest thousand.
- Apply rounding off in real-life situations.
- Show interest in approximating numbers.

In groups, learners are guided to:
- Draw number lines to represent numbers between thousands.
- List numbers nearer to lower and upper thousand.
- Determine the rules for rounding off to the nearest thousand.
- Share their findings with other groups.

How is rounding off useful in everyday life?

- KLB Mathematics Learner's Book Grade 5 page 17.
- Number lines.
- Number cards.
- 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.

- Written exercises. - Oral questions. - Observation.

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 5.
- Apply divisibility test of 5 in solving problems.
- Appreciate the application of divisibility tests.

In groups, learners are guided to:
- Divide given numbers by 5.
- Write down the last digit of each number divisible by 5.
- Determine the divisibility rule for 5.
- Discuss and share results with other groups.

When do we use divisibility tests in real life?

- KLB Mathematics Learner's Book Grade 5 page 20.
- Number cards.
- Charts with numbers.
- Multiplication tables.
- KLB Mathematics Learner's Book Grade 5 page 22.

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

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 factors and divisors of numbers.
- Find pairs of factors for given numbers.
- Show interest in determining factors of numbers.

In groups, learners are guided to:
- Write pairs of numbers whose product is a given number.
- List in order the numbers that appear in pairs.
- Identify factors and divisors of given numbers.
- Discuss and share results with other groups.

How do we find factors of a number?

- KLB Mathematics Learner's Book Grade 5 page 23.
- Number cards.
- 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.

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

NUMBERS

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

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

- Find the Highest Common Factor (HCF) of numbers.
- Find the Greatest Common Divisor (GCD) of numbers.
- Show interest in applying HCF and GCD in real life.

In groups, learners are guided to:
- List the factors or divisors of given numbers.
- Identify and list the common factors or divisors.
- Identify the highest of the common factors.
- Solve problems involving HCF/GCD.
- Share results with other groups.

How does finding HCF help us solve real-life problems?

- KLB Mathematics Learner's Book Grade 5 page 25.
- Number cards.
- Charts with factors.
- Manila paper.
- KLB Mathematics Learner's Book Grade 5 page 27.
- Charts with multiples.
- Multiplication tables.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Whole Numbers: Least Common Multiple (LCM)

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

- Find the Least Common Multiple (LCM) of numbers.
- Apply LCM in solving real-life problems.
- Show interest in using LCM in real life.

In groups, learners are guided to:
- List the first five multiples of given numbers.
- Identify and write the common multiples.
- Identify the least (smallest) of the common multiples.
- Solve problems involving LCM.
- Discuss and share results with other groups.

How is LCM applied in everyday situations?

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

- Written exercises. - Oral questions. - Observation.

NUMBERS

Addition: Addition of up to three 6-digit numbers without 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.

- Written exercises. - Oral questions. - Observation.

NUMBERS

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

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

- Add up to three 6-digit numbers up to a sum of 1,000,000.
- Solve problems involving addition without regrouping.
- Appreciate the use of addition in real life.

In groups, learners are guided to:
- Work out the sum of three 6-digit numbers without regrouping.
- Verify the sums using place value apparatus.
- Solve word problems involving addition without regrouping.
- Discuss and share results with other groups.

Where is addition used in real life?

- KLB Mathematics Learner's Book Grade 5 page 31.
- Place value apparatus.
- Place value chart.
- Word problems.

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

NUMBERS

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 numbers with single regrouping.
- Explain the process of regrouping in addition.
- Show interest in adding numbers with regrouping.

In groups, learners are guided to:
- Represent numbers on an abacus.
- Add the numbers and regroup when necessary.
- Count rings in each place value after regrouping.
- Discuss the process of regrouping.
- Share results with other groups.

How does regrouping work in addition?

- KLB Mathematics Learner's Book Grade 5 page 32.
- Place value chart.
- Abacus.
- Number cards.
- KLB Mathematics Learner's Book Grade 5 page 33.
- Word problems.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Addition: Estimating sum by rounding off

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

- Estimate sums by rounding off addends to the nearest hundred and thousand.
- Apply estimation in real-life situations.
- Appreciate the importance of estimation in addition.

In groups, learners are guided to:
- Round off each addend to the nearest hundred or thousand.
- Find the sum of the rounded numbers.
- Compare the estimate sum with the actual sum.
- Discuss when to use estimation.
- Share results with other groups.

When do we estimate sums in daily life?

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

- Written exercises. - Oral questions. - Observation.

NUMBERS

Addition: Creating patterns involving addition

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.

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

NUMBERS

Subtraction: Subtraction of up to 6-digit numbers without regrouping

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

- Subtract up to 6-digit numbers without regrouping.
- Align digits according to place values when subtracting.
- Develop interest in subtracting large numbers.

In groups, learners are guided to:
- Represent 6-digit numbers on an abacus.
- Subtract by removing rings from each place value.
- Read the number represented by remaining rings.
- Discuss the terms minuend and subtrahend.
- Share results with other groups.

How do we subtract large numbers without regrouping?

- KLB Mathematics Learner's Book Grade 5 page 40.
- Place value chart.
- Abacus.
- Number cards.

- Written exercises. - Oral questions. - Observation.

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

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.

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

NUMBERS

Subtraction: Combined operations (addition and subtraction)

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

- Perform combined operations involving addition and subtraction.
- Follow the correct order in combined operations.
- Show interest in solving combined operations.

In groups, learners are guided to:
- Add two numbers.
- Subtract a third number from the sum.
- Work out questions involving addition and subtraction.
- Discuss the order of operations.
- Share results with other groups.

How do we combine addition and subtraction in problem-solving?

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

- Written exercises. - Oral questions. - Observation.

NUMBERS

Subtraction: Creating patterns involving subtraction

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.

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

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:

- Multiply a 3-digit number by a 1-digit number.
- Apply multiplication in solving problems.
- Show interest in multiplying numbers.

In groups, learners are guided to:
- Form 3-digit numbers using given digits.
- Multiply the numbers by 1-digit numbers.
- Complete multiplication tables.
- Solve problems involving multiplication.
- Share results with other groups.

How does multiplication help us solve problems?

- KLB Mathematics Learner's Book Grade 5 page 50.
- Multiplication tables.
- Number cards.
- Word problems.
- KLB Mathematics Learner's Book Grade 5 page 52.
- Manila paper.

- Written exercises. - Oral questions. - Observation.

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:

- 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.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Multiplication: Estimating products by rounding off

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

- Estimate products by rounding off factors to the nearest ten.
- Use compatible numbers to estimate products.
- Show interest in estimating products.

In groups, learners are guided to:
- Round off each factor to the nearest ten.
- Find the product of rounded numbers.
- Use compatible numbers to estimate products.
- Compare estimated products with actual products.
- Share results with other groups.

When do we estimate products in everyday life?

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

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

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.

- 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 3-digit numbers by up to 2-digit numbers.
- Solve problems involving division.
- Develop interest in dividing large numbers.

In groups, learners are guided to:
- Get cards with digits 0 to 9.
- Form 3-digit numbers and divide them by 2-digit numbers.
- Use different methods of division.
- Solve word problems involving division.
- Share results with other groups.

What methods can we use to divide large numbers?

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

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

NUMBERS

Division: Relationship between multiplication and division

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.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Division: Estimating quotients by rounding off
Division: Combined operations (addition, subtraction, multiplication, division)

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

- Estimate quotients by rounding off the dividend and divisor.
- Apply estimation in real-life situations.
- Appreciate the importance of estimation in division.

In groups, learners are guided to:
- Round off dividend and divisor to the nearest ten.
- Divide the rounded numbers.
- Compare the estimated quotients with exact quotients.
- Discuss when to use estimation.
- Share results with other groups.

When do we need to estimate quotients?

- KLB Mathematics Learner's Book Grade 5 page 64.
- Number cards.
- Place value chart.
- Word problems.
- KLB Mathematics Learner's Book Grade 5 page 65.
- Charts with order of operations.

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

NUMBERS

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

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

- Create and solve number puzzles involving combined operations.
- Solve real-life problems involving combined operations.
- Show interest in number puzzles and games.

In groups, learners are guided to:
- Create number games and puzzles involving division.
- Solve puzzles involving combined operations.
- Work out complex problems with multiple operations.
- Discuss strategies for solving complex problems.
- Share results with other groups.

How do combined operations help us solve complex problems?

- KLB Mathematics Learner's Book Grade 5 page 67.
- Number cards.
- Division wheels.
- Number puzzles.
- Word problems.

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

NUMBERS

Fractions: Simplifying fractions

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.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Fractions: Comparing fractions

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

- Compare fractions with different denominators.
- Use fraction charts to compare fractions.
- Show interest in comparing fractions.

In groups, learners are guided to:
- Get equal rectangular paper strips.
- Divide the papers into different equal parts and shade some parts.
- Compare the shaded parts.
- Use fraction charts and diagrams to compare fractions.
- Share results with other groups.

How do we compare fractions in real life?

- KLB Mathematics Learner's Book Grade 5 page 74.
- Fraction charts.
- Paper strips.
- Circular cut-outs.

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

NUMBERS

Fractions: Ordering fractions with denominators not exceeding 12
Fractions: Adding fractions with same denominator

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

- Arrange fractions in increasing and decreasing order.
- Use number lines to order fractions.
- Develop interest in ordering fractions.

In groups, learners are guided to:
- Draw number lines and divide them into equal parts.
- Represent fractions on number lines.
- Compare and arrange fractions in order.
- Use equivalent fractions to order fractions.
- Share results with other groups.

Why is ordering fractions important in real life?

- KLB Mathematics Learner's Book Grade 5 page 76.
- Number lines.
- Fraction charts.
- Paper strips.
- KLB Mathematics Learner's Book Grade 5 page 77.
- Circular cut-outs.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Fractions: Subtracting fractions with same denominator

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

- Subtract fractions with the same denominator.
- Use pictorial representations to subtract fractions.
- Show interest in subtracting fractions.

In pairs, learners are guided to:
- Get rectangular cut-outs and divide into equal parts.
- Shade some parts and then cross out some of the shaded parts.
- Count the remaining shaded parts to find the difference.
- Work out subtraction of fractions with same denominators.
- Share results with other groups.

How do we subtract fractions with the same denominator?

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

- Written exercises. - Oral questions. - Observation.

NUMBERS

Fractions: Adding 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.

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

NUMBERS

Fractions: Subtracting fractions with one renaming

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

- Subtract fractions with different denominators using one renaming.
- Use fraction charts to subtract fractions.
- Show interest in subtracting fractions.

In groups, learners are guided to:
- Draw fraction charts.
- Find how many smaller parts form a larger part.
- Write fractions in terms of the same denominator.
- Subtract fractions after converting to equivalent fractions.
- Share results with other groups.

How do we subtract fractions with different denominators?

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

- Written exercises. - Oral questions. - Observation.

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

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.

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

NUMBERS

Decimals: Ordering decimals up to thousandths

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

- Arrange decimals from smallest to largest.
- Use number lines to order decimals.
- Develop interest in ordering decimals.

In groups, learners are guided to:
- Draw and label number lines with decimals.
- Identify which decimal is larger by comparing place values.
- Arrange decimals from smallest to largest and largest to smallest.
- Discuss and share results with other groups.

How do we compare and order decimals?

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

- Written exercises. - Oral questions. - Observation.

NUMBERS

Decimals: Adding 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.

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

NUMBERS

Decimals: Subtracting decimals up to thousandths

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

- Subtract decimals with regrouping.
- Solve problems involving subtraction of decimals.
- Appreciate the use of decimals in real life.

In groups, learners are guided to:
- Represent decimal numbers on place value charts.
- Subtract the digits in each place value starting from thousandths.
- Regroup when necessary.
- Solve word problems involving subtraction of decimals.
- Share results with other groups.

Where do we use decimals in everyday situations?

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

- 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.

- Written exercises. - Oral questions. - Observation.

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 multiplication and division.
- Use letters to represent unknowns in equations.
- Develop interest in forming equations.

In groups, learners are guided to:
- Choose letters to represent unknown quantities.
- Write statements to represent multiplication and division situations.
- Form equations to represent real-life situations.
- Discuss and share results with other groups.

How are equations used to solve real-life problems?

- KLB Mathematics Learner's Book Grade 5 page 96.
- Number cards.
- Letter cards.
- Word problems.

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

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

Simple Equations: Solving simple equations with one unknown

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.

- Written exercises. - Oral questions. - Observation.