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
Whole Numbers: Numbers up to hundreds of thousands in symbols
Whole Numbers: Numbers up to hundreds of thousands in symbols

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.
- KLB Mathematics Learner's Book Grade 5 page 4.
- Number charts.
- KLB Mathematics Learner's Book Grade 5 page 6.
- Charts with numbers.

- Written exercises. - Oral questions. - Observation.

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 up to 50,000 in words.
- Write numbers up to 50,000 in words.
- Appreciate the use of word forms in representing numbers.

In groups, learners are guided to:
- Read and write numbers up to 50,000 in words.
- Form numbers between 1,000 and 50,000.
- Write numbers in words.
- Discuss the results and share with other groups.

When do we need to write numbers in words?

- KLB Mathematics Learner's Book Grade 5 page 7.
- Number cards.
- Place value charts.
- Word cards.
- KLB Mathematics Learner's Book Grade 5 page 9.
- Charts with numbers.
- KLB Mathematics Learner's Book Grade 5 page 10.
- KLB Mathematics Learner's Book Grade 5 page 11.
- Manila paper.

- Written exercises. - Oral questions. - Group work assessment.

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 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.

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

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.
- KLB Mathematics Learner's Book Grade 5 page 17.
- Manila paper.

- 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 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

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.

- Written exercises. - Oral questions. - Observation.

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.

- 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

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.

- 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 2-digit number without regrouping.
- Use expanded form to multiply numbers.
- Develop interest in multiplying large numbers.

In groups, learners are guided to:
- Multiply 3-digit numbers by 1-digit numbers.
- Multiply 3-digit numbers by 2-digit numbers without regrouping.
- Use expanded form to multiply numbers.
- Solve problems involving multiplication.
- Share results with other groups.

What methods can we use to multiply large numbers?

- KLB Mathematics Learner's Book Grade 5 page 52.
- Multiplication tables.
- Number cards.
- Manila paper.
- KLB Mathematics Learner's Book Grade 5 page 53.
- Word problems.

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

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.
- 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

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.

- Written exercises. - Oral questions. - Observation.

NUMBERS

Fractions: Ordering fractions with denominators not exceeding 12

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.

- 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

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
Simple Equations: Forming simple equations with one unknown

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.
- KLB Mathematics Learner's Book Grade 5 page 94.
- Beam balance.
- Bottle tops.
- Objects of different weights.

- 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 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
MEASUREMENT

Simple Equations: Solving simple equations with one unknown
Length - Identifying the kilometre (km) as a unit of measuring length

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 Learner's Book Grade 5 page 104.
- Tape measure.
- 100 m strings.
- Pegs.

- Written exercises. - Oral questions. - Observation.

MEASUREMENT

Length - Estimating distance in kilometres
Length - Relationship between kilometre and metre

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

- Estimate distance in kilometres.
- Measure distance in kilometres.
- Compare estimated and actual distance.
- Show interest in estimating distances.

The learner is guided to:
- Estimate distances in kilometres such as distance around field or school compound.
- Measure the estimated distances using appropriate tools.
- Compare their estimates with actual measurements.
- Record findings in a table and discuss the results.

How do you estimate distance in kilometres?

- KLB Mathematics Learner's Book Grade 5 page 105.
- Measuring tape.
- 100 m string.
- Record sheets.
- Google maps (if available).
- Chart showing relationship between kilometre and metre.

- Observation. - Written exercise. - Project work.

MEASUREMENT

Length - Relationship between kilometre and metre
Length - Converting kilometres to metres
Length - Converting metres to kilometres
Length - Addition of metres and kilometres

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

- Express the relationship between kilometre and metre.
- Complete tables showing equivalent measures.
- Describe practical scenarios where this relationship is applied.
- Show interest in understanding units of length.

The learner is guided to:
- Express the relationship that 1 km = 1000 m.
- Complete tables showing the relationship between kilometres and metres.
- Discuss real-life situations where this relationship is useful.
- Work in pairs to create their own examples.

How is the relationship between kilometre and metre useful in daily life?

- KLB Mathematics Learner's Book Grade 5 page 106.
- Chart showing relationship between kilometre and metre.
- Conversion tables.
- KLB Mathematics Learner's Book Grade 5 page 107.
- Conversion charts.
- Flashcards with conversion exercises.
- Sketch maps with distances.
- KLB Mathematics Learner's Book Grade 5 page 108.
- Place value charts.

- Written exercise. - Oral questions. - Group work.

MEASUREMENT

Length - Subtraction of metres and kilometres
Length - Multiplication of metres and kilometres by whole numbers

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

- Subtract metres and kilometres without conversion.
- Subtract metres and kilometres with conversion.
- Solve word problems involving subtraction.
- Show interest in subtraction of units of length.

The learner is guided to:
- Set up subtraction of distances in vertical form.
- Subtract metres first, then subtract kilometres.
- Regroup where necessary from kilometres to metres.
- Solve word problems involving subtraction of distances.

How do we subtract metres and kilometres?

- KLB Mathematics Learner's Book Grade 5 page 111.
- Conversion charts.
- Number cards.
- Place value charts.
- KLB Mathematics Learner's Book Grade 5 page 113.
- Multiplication charts.

- Written exercise. - Oral questions. - Group work.

MEASUREMENT

Length - Division of metres and kilometres by whole numbers

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

- Divide metres and kilometres by whole numbers.
- Apply regrouping where necessary.
- Solve word problems involving division.
- Appreciate division of units of length.

The learner is guided to:
- Divide kilometres by whole numbers.
- Convert remainder to metres where necessary.
- Add the converted metres to the existing metres.
- Divide the resultant metres by the divisor.

How do we divide metres and kilometres by whole numbers?

- KLB Mathematics Learner's Book Grade 5 page 114.
- Division charts.
- Number cards.
- KLB Mathematics Learner's Book Grade 5 page 115.
- Calculators.
- Word problem cards.

- Written exercise. - Oral questions. - Peer assessment.

MEASUREMENT

Area - The square centimetre (cm²) as a unit of measuring area

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

- Identify the square centimetre as a unit of measuring area.
- Draw one centimetre squares.
- Measure the lengths of the sides of one centimetre squares.
- Appreciate the use of square centimetre as a unit of area.

The learner is guided to:
- Measure the length of sides of squares.
- Trace and cut out one centimetre squares.
- Identify that area of a square with sides 1 cm is one square centimetre.
- Discuss the concept of area as the space occupied.

What is a square centimetre?

- KLB Mathematics Learner's Book Grade 5 page 119.
- Squared paper.
- Rulers.
- Scissors.
- One centimetre square cut-outs.
- KLB Mathematics Learner's Book Grade 5 page 120.
- Various 2D shapes.
- Glue.

- Observation. - Oral questions. - Practical activities.

MEASUREMENT

Area - Working out area of rectangles in square centimetres

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

- Find area of rectangles by counting squares.
- Relate number of square centimetres to area.
- Make patterns using one centimetre squares.
- Appreciate the concept of area.

The learner is guided to:
- Cover rectangles with one centimetre squares.
- Count squares to determine area.
- Discuss the relationship between number of squares and area.
- Make patterns using one centimetre squares.

How do you find the area of a rectangle?

- KLB Mathematics Learner's Book Grade 5 page 121.
- Squared paper.
- Rectangles of different sizes.
- One centimetre square cut-outs.
- KLB Mathematics Learner's Book Grade 5 page 122.
- Rectangular shapes.
- Rulers.
- Calculator.

- Observation. - Written exercise. - Practical activities.

MEASUREMENT

Area - Working out area of squares in square centimetres

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

- Find area of squares by counting squares.
- Relate number of square centimetres to area.
- Make patterns using squares.
- Show interest in calculating areas.

The learner is guided to:
- Cover squares with one centimetre squares.
- Count squares to determine area.
- Discuss the relationship between number of squares and area.
- Make patterns using square shapes.

How do you find the area of a square?

- KLB Mathematics Learner's Book Grade 5 page 124.
- Squared paper.
- Squares of different sizes.
- One centimetre square cut-outs.
- KLB Mathematics Learner's Book Grade 5 page 125.
- Square shapes.
- Rulers.
- Calculator.

- Observation. - Written exercise. - Practical activities.

MEASUREMENT

Volume - The cubic centimetre (cm³) as a unit of measuring volume

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

- Identify the cubic centimetre as a unit of measuring volume.
- Make one centimetre cubes.
- Measure sides of cubic centimetre.
- Appreciate cubic centimetre as a unit of volume.

The learner is guided to:
- Make cubes with sides 1 cm using clay or plasticine.
- Measure the sides to confirm they are 1 cm each.
- Discuss that volume of this cube is one cubic centimetre.
- Make more 1 cm cubes for use in subsequent lessons.

What is a cubic centimetre?

- KLB Mathematics Learner's Book Grade 5 page 132.
- Clay or plasticine.
- Rulers.
- 1 cm cube models.

- Observation. - Oral questions. - Practical activities.

MEASUREMENT

Volume - Deriving the formula for volume of cuboid

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

- Arrange cubic centimetres to form cuboids.
- Count the number of cubes in a cuboid.
- Relate the number of cubes to volume.
- Show interest in building models.

The learner is guided to:
- Arrange 1 cm cubes to form cuboids.
- Count the number of 1 cm cubes used.
- Arrange cubes in layers and count them.
- Discuss relationship between number of cubes and volume.

How do we determine the volume of cuboids?

- KLB Mathematics Learner's Book Grade 5 page 133.
- 1 cm cube models.
- Cuboid models.
- Charts showing cuboids.
- KLB Mathematics Learner's Book Grade 5 page 134.
- Calculators.
- Charts showing formula derivation.

- Observation. - Oral questions. - Practical activities.

MEASUREMENT

Volume - Working out volume of cuboids in cubic centimetres
Volume - Deriving the formula for volume of cube

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

- Apply the formula to calculate volume of cuboids.
- Solve word problems involving volume.
- Calculate volume of real objects.
- Show interest in calculating volume.

The learner is guided to:
- Measure dimensions of cuboids.
- Apply the formula V = l × w × h to calculate volume.
- Solve word problems involving volume of cuboids.
- Calculate volume of real objects in cubic centimetres.

Where do we apply volume calculations in real life?

- KLB Mathematics Learner's Book Grade 5 page 136.
- Cuboid models.
- Rulers.
- Calculators.
- Real objects in cuboid shape.
- KLB Mathematics Learner's Book Grade 5 page 137.
- 1 cm cube models.
- Cube models.
- Charts showing cubes.

- Written exercise. - Oral questions. - Project work.

MEASUREMENT

Volume - Working out volume of cubes in cubic centimetres
Capacity - Identifying the millilitre as a unit of measuring capacity

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

- Apply the formula to calculate volume of cubes.
- Solve word problems involving volume of cubes.
- Calculate volume of real objects in cube shape.
- Show interest in calculating volume.

The learner is guided to:
- Measure side length of cubes.
- Apply the formula V = s × s × s to calculate volume.
- Solve word problems involving volume of cubes.
- Calculate volume of real objects in cube shape.

Why is the formula for volume of a cube s³?

- KLB Mathematics Learner's Book Grade 5 page 138.
- Cube models.
- Rulers.
- Calculators.
- Real objects in cube shape.
- KLB Mathematics Learner's Book Grade 5 page 143.
- Transparent straws.
- 5 ml teaspoons.
- Small bottles.
- Water.

- Written exercise. - Oral questions. - Project work.

MEASUREMENT

Capacity - Measuring capacity in millilitres

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

- Measure capacity in millilitres.
- Use a measuring cylinder to measure capacity.
- Mark and label capacity levels.
- Show interest in measuring capacity.

The learner is guided to:
- Fill a 5 ml spoon with water.
- Pour water into a small transparent bottle.
- Mark the level and label as 5 ml.
- Continue pouring one spoonful at a time and marking levels.

How do we measure capacity in millilitres?

- KLB Mathematics Learner's Book Grade 5 page 143.
- 5 ml teaspoons.
- Small transparent bottles.
- Measuring cylinders.
- Water.
- KLB Mathematics Learner's Book Grade 5 page 144.
- Marked bottles.
- Various small containers.

- Observation. - Practical activities. - Oral questions.

MEASUREMENT

Capacity - Estimating and measuring capacity in multiples of 5 millilitres

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

- Estimate capacity in multiples of 5 millilitres.
- Measure actual capacity using 5 ml spoon.
- Compare estimated and actual capacity.
- Develop estimation skills.

The learner is guided to:
- Estimate capacity of containers in multiples of 5 ml.
- Measure actual capacity using 5 ml spoon.
- Record estimated and actual capacity in a table.
- Compare and discuss results.

Why is estimation important in measuring capacity?

- KLB Mathematics Learner's Book Grade 5 page 144.
- 5 ml spoons.
- Various containers.
- Record sheets.
- Water.
- KLB Mathematics Learner's Book Grade 5 page 145.
- Larger containers.
- Measuring cylinders.

- Observation. - Practical activities. - Written exercise.

MEASUREMENT

Capacity - Relationship between litres and millilitres
Capacity - Converting litres to millilitres

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

- Establish the relationship between litres and millilitres.
- State that 1 litre = 1000 millilitres.
- Complete tables showing equivalent measures.
- Show interest in units of capacity.

The learner is guided to:
- Fill a 1 litre bottle using different sized containers.
- Count how many of each container fills the 1 litre bottle.
- Complete tables relating litres to millilitres.
- Discuss that 1 litre = 1000 millilitres.

What is the relationship between litres and millilitres?

- KLB Mathematics Learner's Book Grade 5 page 145.
- 1 litre bottles.
- Containers of various sizes (100ml, 200ml, 250ml, 500ml).
- Water.
- Charts showing relationship.
- KLB Mathematics Learner's Book Grade 5 page 146.
- Conversion charts.
- Word problem cards.
- Calculators.

- Oral questions. - Written exercise. - Observation.

MEASUREMENT

Capacity - Converting millilitres to litres

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

- Convert millilitres to litres.
- Convert millilitres to litres and millilitres.
- Solve word problems involving conversion.
- Show interest in conversion of units.

The learner is guided to:
- Convert measurements in millilitres to litres.
- Convert millilitres to litres and millilitres for measurements not divisible by 1000.
- Solve word problems involving conversion.
- Complete conversion tables.

How do we convert millilitres to litres?

- KLB Mathematics Learner's Book Grade 5 page 147.
- Conversion charts.
- Word problem cards.
- Calculators.

- Written exercise. - Oral questions. - Group work.

MEASUREMENT

Capacity - Addition of litres and millilitres
Capacity - Subtraction of litres and millilitres

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

- Add litres and millilitres without conversion.
- Add litres and millilitres with conversion.
- Solve word problems involving addition.
- Show interest in addition of units of capacity.

The learner is guided to:
- Set up addition of capacities in vertical form.
- Add millilitres first, then add litres.
- Regroup where necessary when adding millilitres.
- Solve word problems involving addition of capacities.

How do we add litres and millilitres?

- KLB Mathematics Learner's Book Grade 5 page 149.
- Conversion charts.
- Word problem cards.
- Place value charts.
- KLB Mathematics Learner's Book Grade 5 page 152.

- Written exercise. - Oral questions. - Group work.

MEASUREMENT

Capacity - Multiplication of litres and millilitres by whole numbers
Capacity - Division of litres and millilitres by whole numbers

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

- Multiply litres and millilitres by whole numbers.
- Solve word problems involving multiplication.
- Apply multiplication skills to real-life situations.
- Show interest in multiplication of units of capacity.

The learner is guided to:
- Multiply millilitres first, then multiply litres.
- Regroup product of millilitres where necessary.
- Solve word problems involving multiplication of capacities.
- Share solutions with peers.

How do we multiply litres and millilitres by whole numbers?

- KLB Mathematics Learner's Book Grade 5 page 154.
- Multiplication charts.
- Word problem cards.
- Calculators.
- KLB Mathematics Learner's Book Grade 5 page 155.
- Division charts.

- Written exercise. - Oral questions. - Peer assessment.

MEASUREMENT

Mass - Identifying the gram as a unit of measuring mass
Mass - Measuring mass in grams

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

- Identify the gram as a unit of measuring mass.
- Measure 1 gram using appropriate apparatus.
- Name items sold in grams.
- Appreciate gram as a unit of mass.

The learner is guided to:
- Use a teaspoon to scoop dry sand or soil.
- Measure the mass of one teaspoonful using a weighing balance.
- Divide the sand into five equal amounts to get 1 gram each.
- Discuss items sold in grams.

What is a gram?

- KLB Mathematics Learner's Book Grade 5 page 160.
- Teaspoons.
- Dry sand or soil.
- Weighing balance.
- Sand bags.
- KLB Mathematics Learner's Book Grade 5 page 161.
- Weighing machine.
- Beam balance.
- Various small items.

- Observation. - Oral questions. - Practical activities.

MEASUREMENT

Mass - Measuring mass in grams
Mass - Estimating and measuring mass in grams

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

- Measure mass of various objects in grams.
- Record measurements accurately.
- Compare masses of different objects.
- Develop skills in mass measurement.

The learner is guided to:
- Measure mass of various objects using weighing machine.
- Record measurements accurately.
- Compare masses of different objects.
- Discuss the concept of mass and its measurement.

Which objects have more mass?

- KLB Mathematics Learner's Book Grade 5 page 161.
- Weighing machine.
- Beam balance.
- Various objects.
- Record sheets.
- Various items.

- Observation. - Practical activities. - Written exercise.

MEASUREMENT

Mass - Estimating and measuring mass in grams
Mass - Relationship between kilogram and gram

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

- Improve accuracy in estimation.
- Measure mass of variety of objects.
- Record measurements systematically.
- Appreciate importance of estimation.

The learner is guided to:
- Estimate mass of more objects.
- Measure actual mass using weighing machine.
- Record and compare results.
- Discuss ways to improve estimation.

How can we improve our estimation skills?

- KLB Mathematics Learner's Book Grade 5 page 162.
- Weighing machine.
- Variety of objects.
- Record sheets.
- 1kg stone.
- Sand.
- Packets for sand.
- Beam balance.

- Observation. - Practical activities. - Peer assessment.

MEASUREMENT

Mass - Converting kilograms to grams

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

- Convert kilograms to grams.
- Convert combined measures of kilograms and grams to grams.
- Solve word problems involving conversion.
- Appreciate conversion of units.

The learner is guided to:
- Convert simple measurements in kilograms to grams.
- Convert combined measurements (e.g., 5 kg 175 g) to grams.
- Solve word problems involving conversion.
- Complete conversion tables.

Why do we convert between kilograms and grams?

- KLB Mathematics Learner's Book Grade 5 page 163.
- Conversion charts.
- Word problem cards.
- Calculators.

- Written exercise. - Oral questions. - Group work.

MEASUREMENT

Mass - Converting grams to kilograms
Mass - Addition of grams and kilograms

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

- Convert grams to kilograms.
- Convert grams to kilograms and grams.
- Solve word problems involving conversion.
- Show interest in conversion of units.

The learner is guided to:
- Convert measurements in grams to kilograms.
- Convert grams to kilograms and grams for measurements not divisible by 1000.
- Solve word problems involving conversion.
- Complete conversion tables.

How do we convert grams to kilograms?

- KLB Mathematics Learner's Book Grade 5 page 164.
- Conversion charts.
- Word problem cards.
- Calculators.
- KLB Mathematics Learner's Book Grade 5 page 165.
- Place value charts.

- Written exercise. - Oral questions. - Group work.

MEASUREMENT

Mass - Subtraction of grams and kilograms
Mass - Multiplication of grams and kilograms by whole numbers

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

- Subtract grams and kilograms without conversion.
- Subtract grams and kilograms with conversion.
- Solve word problems involving subtraction.
- Appreciate subtraction of units of mass.

The learner is guided to:
- Set up subtraction of masses in vertical form.
- Subtract grams first, then subtract kilograms.
- Regroup where necessary from kilograms to grams.
- Solve word problems involving subtraction of masses.

How do we subtract grams and kilograms?

- KLB Mathematics Learner's Book Grade 5 page 170.
- Conversion charts.
- Word problem cards.
- Place value charts.
- KLB Mathematics Learner's Book Grade 5 page 173.
- Multiplication charts.
- Calculators.

- Written exercise. - Oral questions. - Group work.

MEASUREMENT

Mass - Division of grams and kilograms by whole numbers
Time - Identifying the second as a unit of measuring time

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

- Divide grams and kilograms by whole numbers.
- Apply regrouping where necessary.
- Solve word problems involving division.
- Appreciate division of units of mass.

The learner is guided to:
- Divide kilograms by whole numbers.
- Convert remainder to grams where necessary.
- Add the converted grams to the existing grams.
- Divide the resultant grams by the divisor.

How do we divide grams and kilograms by whole numbers?

- KLB Mathematics Learner's Book Grade 5 page 175.
- Division charts.
- Word problem cards.
- Calculators.
- KLB Mathematics Learner's Book Grade 5 page 178.
- Wall clocks.
- Stopwatches.
- Digital clocks.

- Written exercise. - Oral questions. - Group work.

MEASUREMENT

Time - Relationship between minute and second
Time - Converting minutes to seconds

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

- Establish the relationship between minute and second.
- State that 1 minute = 60 seconds.
- Complete tables showing equivalent measures.
- Show interest in units of time.

The learner is guided to:
- Use a watch to count how many seconds make one minute.
- Carry out activities for 60 seconds and count repetitions.
- Complete tables relating minutes to seconds.
- Discuss that 1 minute = 60 seconds.

What is the relationship between minute and second?

- KLB Mathematics Learner's Book Grade 5 page 178.
- Wall clocks.
- Stopwatches.
- Digital clocks.
- Conversion charts.
- KLB Mathematics Learner's Book Grade 5 page 179.
- Word problem cards.
- Calculators.

- Oral questions. - Written exercise. - Observation.

MEASUREMENT

Time - Converting seconds to minutes
Time - Addition of minutes and seconds with conversion

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

- Convert seconds to minutes.
- Convert seconds to minutes and seconds.
- Solve word problems involving conversion.
- Show interest in conversion of units of time.

The learner is guided to:
- Convert measurements in seconds to minutes.
- Divide by 60 to convert seconds to minutes.
- Convert seconds to minutes and seconds for measurements not divisible by 60.
- Solve word problems involving conversion.

How do we convert seconds to minutes?

- KLB Mathematics Learner's Book Grade 5 page 180.
- Conversion charts.
- Word problem cards.
- Calculators.
- KLB Mathematics Learner's Book Grade 5 page 182.
- Place value charts.

- Written exercise. - Oral questions. - Group work.

MEASUREMENT

Time - Subtraction of minutes and seconds with conversion
Time - Multiplication of minutes and seconds by whole numbers
Time - Division of minutes and seconds by whole numbers

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

- Subtract minutes and seconds with regrouping.
- Apply knowledge of conversion in subtraction.
- Solve word problems involving subtraction.
- Appreciate subtraction of units of time.

The learner is guided to:
- Set up subtraction of time in vertical form.
- Subtract seconds first, then subtract minutes.
- Regroup from minutes to seconds when necessary.
- Solve word problems involving subtraction of time.

How do we subtract minutes and seconds?

- KLB Mathematics Learner's Book Grade 5 page 184.
- Conversion charts.
- Word problem cards.
- Place value charts.
- KLB Mathematics Learner's Book Grade 5 page 186.
- Multiplication charts.
- Calculators.
- KLB Mathematics Learner's Book Grade 5 page 187.
- Division charts.

- Written exercise. - Oral questions. - Group work.