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

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.

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

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 from 500,001 to 999,999 in symbols.
- Write numbers from 500,001 to 999,999 in symbols.
- Show interest in reading and writing large numbers.

In groups, learners are guided to:
- Write digits on cards.
- Arrange the cards to form 6-digit numbers greater than 500,000.
- Read the numbers formed.
- Form other numbers using the cards.
- Discuss and share with other groups.

How are large numbers used in our daily lives?

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

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

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.

- 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 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.

- 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.

- 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 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.

- 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 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)

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.

- Written exercises. - Oral questions. - Observation.

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.

- 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:

- 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.

- 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 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.

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

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.

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

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

Where is subtraction used in real life?

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

- Written exercises. - Oral questions. - Observation.

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.

- 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 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.

- 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 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.

- 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 with products not exceeding 100.
- Continue given multiplication patterns.
- Appreciate patterns in real life.

In groups, learners are guided to:
- Create patterns starting with given numbers.
- Apply multiplication rules to continue patterns.
- Find missing numbers in patterns.
- Discuss and share patterns with other groups.

How are multiplication patterns used in real life?

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

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

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

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.

- 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:

- 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.

- Written exercises. - Oral questions. - Observation.

NUMBERS
MEASUREMENT

Division: Combined operations (addition, subtraction, multiplication, division)
Length - Identifying the kilometre (km) as a unit of measuring length

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

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

MEASUREMENT

Length - Estimating distance in kilometres

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).

- Observation. - Written exercise. - Project work.

MEASUREMENT

Length - Relationship between kilometre and metre

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

- Establish the relationship between kilometre and metre.
- State that 1 kilometre = 1000 metres.
- Relate kilometre to multiple 100-metre distances.
- Appreciate the relationship between units of length.

The learner is guided to:
- Use 100 m string to measure a distance of 1000 m.
- Count how many times the 100 m string was used to cover 1000 m.
- Discuss the relationship between kilometre and metre.
- Complete tables relating kilometres to metres.

What is the relationship between kilometre and metre?

- KLB Mathematics Learner's Book Grade 5 page 105.
- 100 m string.
- Measuring tape.
- Chart showing relationship between kilometre and metre.
- KLB Mathematics Learner's Book Grade 5 page 106.
- Conversion tables.

- Oral questions. - Written exercise. - Observation.

MEASUREMENT

Length - Converting kilometres to metres
Length - Converting metres to kilometres

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

- Convert kilometres to metres.
- Solve word problems involving conversion of kilometres to metres.
- Develop skills in unit conversion.
- Show interest in converting units of length.

The learner is guided to:
- Convert simple kilometre measurements to metres.
- Convert mixed measurements (e.g., 8 km 560 m) to metres.
- Solve word problems involving conversion.
- Share their solutions with peers.

Why do we convert units of length?

- KLB Mathematics Learner's Book Grade 5 page 107.
- Conversion charts.
- Flashcards with conversion exercises.
- Sketch maps with distances.

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

MEASUREMENT

Length - Addition of metres and kilometres
Length - Subtraction of metres and kilometres

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

- Add metres and kilometres without conversion.
- Add metres and kilometres with conversion.
- Solve word problems involving addition of metres and kilometres.
- Appreciate addition of units of length.

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

How do we add metres and kilometres?

- KLB Mathematics Learner's Book Grade 5 page 108.
- Conversion charts.
- Sketch maps with distances.
- Place value charts.
- KLB Mathematics Learner's Book Grade 5 page 111.
- Number cards.

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

MEASUREMENT

Length - Multiplication of metres and kilometres by whole numbers

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

- Multiply metres and kilometres by whole numbers.
- Solve word problems involving multiplication.
- Develop skills in multiplication of compound measures.
- Show interest in multiplication of units of length.

The learner is guided to:
- Multiply metres and kilometres by whole numbers.
- Regroup product of metres where necessary.
- Solve word problems involving multiplication of distances.
- Share their work with peers.

How do we multiply metres and kilometres by whole numbers?

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

- Written exercise. - Oral questions. - Observation.

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.

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

MEASUREMENT

Length - Division of metres and kilometres by whole numbers

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

- Divide combined measurements of metres and kilometres.
- Solve complex word problems involving division.
- Apply division skills to real-life situations.
- Show interest in division of units of length.

The learner is guided to:
- Solve more complex division problems involving combined measurements.
- Apply division skills to practical scenarios like dividing distances into equal parts.
- Create and solve their own word problems.
- Share solutions and strategies with peers.

Where do we apply division of length measures in real life?

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

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

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.

- Observation. - Oral questions. - Practical activities.

MEASUREMENT

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

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

- Use one centimetre squares to measure area of shapes.
- Count number of one centimetre squares to determine area.
- Express area in square centimetres.
- Show interest in measuring area of different shapes.

The learner is guided to:
- Trace shapes on paper.
- Cover the shapes with one centimetre squares.
- Count the number of squares used.
- Express the result as area in square centimetres.

How can we use square centimetre to measure area?

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

- Observation. - Practical activities. - Written exercise.

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.

- Observation. - Written exercise. - Practical activities.

MEASUREMENT

Area - Working out area of rectangles in square centimetres

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

- Derive the formula for area of a rectangle.
- Calculate area using the formula length × width.
- Solve word problems involving area of rectangles.
- Appreciate the use of formula in calculating area.

The learner is guided to:
- Count the number of squares along length and width.
- Multiply number of squares along length by number along width.
- Compare result with total number of squares.
- Derive that Area = Length × Width.

Why do we use a formula to calculate area?

- KLB Mathematics Learner's Book Grade 5 page 122.
- Rectangular shapes.
- Squared paper.
- Rulers.
- Calculator.

- Written exercise. - Oral questions. - Observation.

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.

- 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:

- Derive the formula for area of a square.
- Calculate area using the formula side × side.
- Solve word problems involving area of squares.
- Appreciate the use of formula in calculating area.

The learner is guided to:
- Count the number of squares along each side.
- Multiply the number of squares on one side by itself.
- Compare result with total number of squares.
- Derive that Area = Side × Side.

Why is the formula for area of a square different from rectangle?

- KLB Mathematics Learner's Book Grade 5 page 125.
- Square shapes.
- Squared paper.
- Rulers.
- Calculator.

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