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 apparatus.
- Apply place value of digits up to hundreds of thousands in real life.

- Identify total value of digits up to hundreds of thousands.
- Calculate total value of different digits in a number.
- Apply total value of digits in real life situations.

The learner is guided to:
- Identify place value of digits up to hundreds of thousands using place value apparatus.
- Fill in place value charts correctly to indicate place value of different digits.
- Participate in group discussion to understand the application of place value in real life.
The learner is guided to:
- Identify total value of digits in relation to their place value.
- Make number cards and cut every digit from the number cards.
- Stick each digit on a place value chart.
- Find the total value of each digit in relation to its place value.
- Share their work with other groups.

Where is place value used in real life?
Why is total value of digits important in real life?

- Mentor Mathematics Learner's Book Grade 5 page 1.
- Place value apparatus.
- Number charts.
- Number cards.
- Place value charts.
- Mentor Mathematics Learner's Book Grade 5 page 4.
- Number cards.
- Place value charts.
- Scissors.
- Adhesive materials.
- Mentor Mathematics Learner's Book Grade 5 page 5.
- Place value apparatus.
- Digital devices (optional).

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

NUMBERS

Whole Numbers – Numbers up to hundreds of thousands in symbols

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

- Read numbers up to hundreds of thousands in symbols from number charts or cards.
- Write numbers up to hundreds of thousands in symbols.
- Apply numbers up to hundreds of thousands in symbols in real life.

The learner is guided to:
- Read numbers up to hundreds of thousands in symbols from number charts or cards.
- Write numbers up to hundreds of thousands in symbols.
- Participate in reading number games using number cards.
- Share and discuss their work with classmates.

Where are large numbers used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 6.
- Number charts.
- Number cards.
- Flash cards with large numbers.
- Mentor Mathematics Learner's Book Grade 5 page 7.
- Place value charts.
- Real-life examples with large numbers.

- Oral questions. - Written exercises. - Peer assessment. - 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 tens of thousands in words.
- Write numbers up to tens of thousands in words.
- Relate numbers up to tens of thousands in words and symbols.

- Arrange numbers up to tens of thousands in increasing order.
- Compare numbers up to tens of thousands.
- Apply ordering of numbers in real life situations.

The learner is guided to:
- Read numbers up to tens of thousands in words from number charts or cards.
- Write numbers up to tens of thousands in words.
- Relate numbers in words and symbols through matching exercises.
- Work in groups to create number cards with words and symbols.
The learner is guided to:
- Arrange numbers up to tens of thousands in increasing order using number cards.
- Compare numbers up to tens of thousands using symbols (<, >, =).
- Share their arrangements with other groups.
- Discuss real-life applications of ordering numbers.

Why is it important to read and write numbers in words?
Where is ordering of numbers used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 8.
- Number charts.
- Number cards.
- Flash cards with numbers in words.
- Reference materials.
- Mentor Mathematics Learner's Book Grade 5 page 9.
- Real-life documents with numbers in words.
- Games involving numbers in words.
- Real-life documents.
- Mentor Mathematics Learner's Book Grade 5 page 10.
- Number cards.
- Charts with numbers.
- Comparing symbols cards.

- Oral reading assessment. - Written exercises. - Group work observation. - Peer assessment.
- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Whole Numbers – Ordering numbers up to tens of thousands
Whole Numbers – Rounding off numbers up to tens of thousands to the nearest hundred

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

- Arrange numbers up to tens of thousands in decreasing order.
- Compare numbers up to tens of thousands.
- Apply ordering of numbers in real life situations.

The learner is guided to:
- Arrange numbers up to tens of thousands in decreasing order using number cards.
- Share their arrangements with other groups.
- Discuss real-life scenarios where ordering numbers in decreasing order is applicable.
- Make number cards with heights of different mountains and arrange them from highest to lowest.

Why do we arrange numbers in decreasing order in real life?

- Mentor Mathematics Learner's Book Grade 5 page 12.
- Number cards.
- Charts with numbers.
- Real-life data for ordering activities.
- Mentor Mathematics Learner's Book Grade 5 page 15.
- Number line charts.
- Real-life examples requiring rounding.

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

NUMBERS

Whole Numbers – Rounding off numbers up to tens of thousands to the nearest hundred
Whole Numbers – Rounding off numbers up to tens of thousands to the nearest thousand

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

- Apply rounding off numbers to the nearest hundred in problem solving.
- Create problems involving rounding off to the nearest hundred.
- Show genuine interest in rounding off numbers.

- Round off numbers up to tens of thousands to the nearest thousand.
- Apply rounding off numbers in different situations.
- Appreciate the use of rounding off numbers in real life.

The learner is guided to:
- Solve problems involving rounding off to the nearest hundred.
- Create their own problems requiring rounding off.
- Discuss practical applications of rounding off in everyday life.
- Play games involving rounding off numbers.
The learner is guided to:
- Fill in the missing numbers on a number line.
- Identify whether numbers are closer to the previous or next thousand on the number line.
- Round off numbers to the nearest thousand using a number line.
- Share their work with other groups.

How is rounding off numbers to the nearest hundred useful in everyday life?
How is rounding off numbers to the nearest thousand useful in everyday life?

- Mentor Mathematics Learner's Book Grade 5 page 16.
- Number line charts.
- Number cards.
- Real-life problems requiring rounding.
- Games involving rounding.
- Mentor Mathematics Learner's Book Grade 5 page 17.
- Number line charts.
- Number cards.
- Real-life examples requiring rounding.

- Observation. - Oral questions. - Written exercises. - Group presentation.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Whole Numbers – Rounding off numbers up to tens of thousands to the nearest thousand

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

- Apply rounding off numbers to the nearest thousand in problem solving.
- Create problems involving rounding off to the nearest thousand.
- Show genuine interest in rounding off numbers.

The learner is guided to:
- Solve problems involving rounding off to the nearest thousand.
- Create their own problems requiring rounding off.
- Discuss practical applications of rounding off in everyday life.
- Play games involving rounding off numbers.

When do we need to round off numbers to the nearest thousand?

- Mentor Mathematics Learner's Book Grade 5 page 18.
- Number line charts.
- Number cards.
- Real-life problems requiring rounding.
- Games involving rounding.

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

NUMBERS

Whole Numbers – Divisibility tests of 2, 5 and 10

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

- Apply divisibility tests of 2 in real life.
- Identify numbers divisible by 2 without a remainder.
- Appreciate the use of divisibility tests of 2.

- Apply divisibility tests of 5 in real life.
- Identify numbers divisible by 5 without a remainder.
- Appreciate the use of divisibility tests of 5.

The learner is guided to:
- Use number cards to divide different numbers by 2 and come up with divisibility rules.
- Identify and list numbers divisible by 2.
- Discuss the pattern observed in numbers divisible by 2.
- Apply divisibility test of 2 in solving problems.
The learner is guided to:
- Use number cards to divide different numbers by 5 and come up with divisibility rules.
- Identify and list numbers divisible by 5.
- Discuss the pattern observed in numbers divisible by 5.
- Apply divisibility test of 5 in solving problems.

Where are divisibility tests used in real life?
When do we use divisibility tests in real life?

- Mentor Mathematics Learner's Book Grade 5 page 19.
- Number cards.
- Chart showing divisibility rules.
- Digital devices (optional).
- Mentor Mathematics Learner's Book Grade 5 page 21.
- Number cards.
- Chart showing divisibility rules.
- Digital devices (optional).
- Mentor Mathematics Learner's Book Grade 5 page 23.

- Observation. - Oral questions. - Written exercises. - Group work assessment.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

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

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

- Use number charts to identify factors and divisors of given numbers.
- Identify common factors and divisors of numbers.
- Appreciate using HCF and GCD in real life.

The learner is guided to:
- Use number charts to identify factors and divisors of given numbers.
- Discuss and identify the common factors and divisors and share with others.
- Determine the highest or greatest common factor or divisor.
- Apply HCF and GCD in real-life situations.

Where is HCF and GCD applied in real life?

- Mentor Mathematics Learner's Book Grade 5 page 24.
- Number charts.
- Multiplication tables.
- Digital devices (optional).

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

NUMBERS

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

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

- Determine HCF and GCD of given numbers.
- Apply HCF and GCD in different situations.
- Appreciate using HCF and GCD in real life.

- Identify multiples of given numbers.
- Determine common multiples of numbers.
- Identify the Least Common Multiple (LCM) of numbers.

The learner is guided to:
- Find HCF and GCD of different sets of numbers.
- Solve problems involving HCF and GCD.
- Discuss and share their work with other groups.
- Apply HCF and GCD in real-life contexts.
The learner is guided to:
- Discuss and identify multiples of given numbers.
- Identify the common multiples of numbers.
- Determine the least common multiple.
- Use games to practice finding LCM.

How is HCF and GCD helpful in everyday situations?
Where is LCM used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 26.
- Number charts.
- Multiplication tables.
- Factors and multiples charts.
- Mentor Mathematics Learner's Book Grade 5 page 28.
- Number charts.
- Multiplication tables.
- Digital devices (optional).

- Observation. - Oral questions. - Written exercises. - Group presentation.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

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 up to a sum of 1,000,000.
- Use place value apparatus for addition.
- Appreciate using addition in real life situations.

The learner is guided to:
- Work out the sum of three 6-digit numbers without regrouping up to 1,000,000 using place value apparatus.
- Create and solve addition problems involving 6-digit numbers.
- Discuss practical applications of addition in real life.
- Share their work with other groups.

Where is addition of large numbers used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 32.
- Place value apparatus.
- Abacus.
- Number cards.
- Chart with addition examples.

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

NUMBERS

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

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

- Add up to three 6-digit numbers without regrouping.
- Solve problems involving addition of large numbers.
- Apply addition skills in real-life contexts.

- Add up to two 6-digit numbers with double regrouping.
- Solve problems involving addition with regrouping.
- Apply addition skills in real-life contexts.

The learner is guided to:
- Practice addition of up to three 6-digit numbers without regrouping.
- Create and solve real-life problems involving addition.
- Discuss situations where addition of large numbers is applicable.
- Share their strategies for addition with classmates.
The learner is guided to:
- Practice addition of up to two 6-digit numbers with double regrouping.
- Create and solve real-life problems involving addition with regrouping.
- Discuss strategies for addition with regrouping.
- Share their work with other groups.

How is addition of large numbers useful in real life?
Where do we use addition with regrouping in real life?

- Mentor Mathematics Learner's Book Grade 5 page 33.
- Place value apparatus.
- Abacus.
- Number cards.
- Real-life addition problems.
- Mentor Mathematics Learner's Book Grade 5 page 34.
- Chart with addition examples.
- Mentor Mathematics Learner's Book Grade 5 page 35.
- Place value apparatus.
- Abacus.
- Number cards.
- Real-life addition problems.

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

NUMBERS

Addition – Estimating sum by rounding off

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

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

The learner is guided to:
- Estimate sums by rounding off the addends to the nearest hundred and thousand using a number line.
- Compare estimated sums with actual sums.
- Discuss situations where estimation is more practical than exact calculation.
- Practice estimation in real-life contexts.

Why do we need to estimate sums in real life?

- Mentor Mathematics Learner's Book Grade 5 page 36.
- Number line.
- Number cards.
- Chart showing rounding off examples.
- Real-life problems for estimation.

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

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 of numbers up to a sum of 1,000,000.
- Identify and extend number patterns involving addition.
- Appreciate patterns in mathematics.

- Subtract up to 6-digit numbers without regrouping.
- Use place value apparatus for subtraction.
- Appreciate subtraction in real life situations.

The learner is guided to:
- Create patterns involving addition of numbers up to a sum of 1,000,000 using number cards and other resources.
- Identify rules in addition patterns.
- Extend given addition patterns.
- Create their own addition patterns and share with classmates.
The learner is guided to:
- Work out subtraction of up to 6-digit numbers without regrouping using place value apparatus.
- Create and solve subtraction problems.
- Discuss practical applications of subtraction in real life.
- Share their work with other groups.

How can you create patterns in addition?
Where is subtraction used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 38.
- Number cards.
- Chart showing number patterns.
- Digital devices (optional).
- Pattern worksheets.
- Mentor Mathematics Learner's Book Grade 5 page 40.
- Place value apparatus.
- Abacus.
- Number cards.
- Chart with subtraction examples.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
- Observation. - Oral questions. - Written exercises. - Group work assessment.

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.
- Use place value apparatus for subtraction with regrouping.
- Appreciate subtraction in real life situations.

The learner is guided to:
- Work out subtraction of up to 6-digit numbers with regrouping using place value apparatus.
- Practice subtraction with regrouping using abacus and number cards.
- Solve subtraction problems involving regrouping.
- Discuss real-life contexts where subtraction with regrouping is applied.

How does subtraction with regrouping help us solve real-life problems?

- Mentor Mathematics Learner's Book Grade 5 page 42.
- Place value apparatus.
- Abacus.
- Number cards.
- Chart with subtraction examples.
- Mentor Mathematics Learner's Book Grade 5 page 43.
- Games involving subtraction.

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

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 difference by rounding off the minuend and subtrahend to the nearest hundred and thousand.
- Apply estimation in real life situations.
- Appreciate the importance of estimation in daily life.

- Perform combined operations involving addition and subtraction.
- Apply the correct order of operations.
- Appreciate combined operations in real life.

The learner is guided to:
- Estimate differences by rounding off the minuend and subtrahend to the nearest hundred and thousand using a number line.
- Compare estimated differences with actual differences.
- Discuss situations where estimation is more practical than exact calculation.
- Practice estimation in real-life contexts.
The learner is guided to:
- Work out questions involving addition and subtraction.
- Apply the correct order of operations.
- Create and solve problems involving combined operations.
- Discuss real-life applications of combined operations.

Why do we need to estimate differences in real life?
Where do we use combined operations in real life?

- Mentor Mathematics Learner's Book Grade 5 page 45.
- Number line.
- Number cards.
- Chart showing rounding off examples.
- Real-life problems for estimation.
- Mentor Mathematics Learner's Book Grade 5 page 47.
- Number wheel.
- Number cards.
- Chart showing combined operations.
- Real-life problems.

- Observation. - Oral questions. - Written exercises. - Group presentation.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

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 and extend number patterns involving subtraction.
- Appreciate patterns in mathematics.

The learner is guided to:
- Create patterns involving subtraction of whole numbers from up to 1,000,000 using number charts.
- Identify rules in subtraction patterns.
- Extend given subtraction patterns.
- Create their own subtraction patterns and share with classmates.

How can you create number patterns involving subtraction?

- Mentor Mathematics Learner's Book Grade 5 page 48.
- Number cards.
- Chart showing number patterns.
- Digital devices (optional).
- Pattern worksheets.

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

NUMBERS

Multiplication – Multiply up to a 3-digit number by up to a 2-digit number

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

- Multiply up to a 3-digit number by up to a 2-digit number.
- Apply multiplication skills in real life situations.
- Appreciate the use of multiplication in real life.

- Apply multiplication of 3-digit by 2-digit numbers in problem solving.
- Develop strategies for multiplication.
- Show genuine interest in multiplication.

The learner is guided to:
- Work out multiplication of up to a 3-digit number by up to a 2-digit number using different methods.
- Practice multiplication using multiplication tables.
- Create and solve multiplication problems.
- Discuss real-life applications of multiplication.
The learner is guided to:
- Practice more examples of multiplication of 3-digit by 2-digit numbers.
- Create and solve real-life problems involving multiplication.
- Develop and share strategies for multiplication.
- Play games involving multiplication of numbers.

Where is multiplication used in real life?
How can multiplication help us solve real-life problems?

- Mentor Mathematics Learner's Book Grade 5 page 50.
- Multiplication tables.
- Number cards.
- Chart with multiplication examples.
- Real-life problems.
- Mentor Mathematics Learner's Book Grade 5 page 51.
- Multiplication tables.
- Number cards.
- Games involving multiplication.
- Real-life multiplication problems.
- Mentor Mathematics Learner's Book Grade 5 page 52.
- Chart showing different multiplication methods.
- Digital devices (optional).
- Real-life problems.

- Observation. - Oral questions. - Written exercises. - Group work assessment.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Multiplication – Estimating product by rounding off

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

- Estimate product by rounding off numbers to the nearest ten.
- Apply estimation in real life situations.
- Appreciate the importance of estimation in daily life.

The learner is guided to:
- Estimate products by rounding off factors to the nearest ten.
- Use compatibility of numbers for estimation.
- Develop their own strategies for estimation.
- Compare estimated products with actual products.
- Discuss situations where estimation is useful.

How can we estimate products in real life?

- Mentor Mathematics Learner's Book Grade 5 page 53.
- Number line.
- Number cards.
- Chart showing estimation examples.
- Real-life problems.

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

NUMBERS

Multiplication – Making patterns involving multiplication

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

- Make patterns involving multiplication of numbers with product not exceeding 100.
- Identify and extend multiplication patterns.
- Appreciate patterns in mathematics.

- Create and extend more complex multiplication patterns.
- Identify rules in multiplication patterns.
- Apply pattern recognition in problem solving.

The learner is guided to:
- Create patterns involving multiplication of numbers with products not exceeding 100.
- Identify rules in multiplication patterns.
- Extend given multiplication patterns.
- Create their own multiplication patterns and share with classmates.
The learner is guided to:
- Create more complex patterns involving multiplication.
- Identify and articulate the rules in multiplication patterns.
- Use pattern recognition to predict subsequent terms.
- Apply pattern recognition in problem solving.

How can you form patterns involving multiplication?
How does recognizing patterns help in mathematics?

- Mentor Mathematics Learner's Book Grade 5 page 55.
- Number cards.
- Multiplication tables.
- Chart showing number patterns.
- Pattern worksheets.
- Mentor Mathematics Learner's Book Grade 5 page 57.
- Number cards.
- Multiplication tables.
- Chart showing complex patterns.
- Digital devices (optional).

- Observation. - Oral questions. - Written exercises. - Group presentation.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Division – Divide up to a 3-digit number by up to a 2-digit number

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

- Divide up to a 3-digit number by up to a 2-digit number where the dividend is greater than the divisor.
- Apply division skills in real life.
- Appreciate use of division in real life.

The learner is guided to:
- Work out division of up to a 3-digit number by up to a 2-digit number where the dividend is greater than the divisor using long and short form.
- Develop their own strategies for division.
- Create and solve division problems.
- Discuss real-life applications of division.

Where is division used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 60.
- Number cards.
- Multiplication tables.
- Chart with division examples.
- Counters for sharing activities.

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

NUMBERS

Division – Divide up to a 3-digit number by up to a 2-digit number
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 division of 3-digit by 2-digit numbers in problem solving.
- Develop strategies for division.
- Show genuine interest in division.

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

The learner is guided to:
- Practice more examples of division of 3-digit by 2-digit numbers.
- Create and solve real-life problems involving division.
- Develop and share strategies for division.
- Create number games and puzzles involving division.
The learner is guided to:
- Estimate quotients by rounding off the dividend and divisor to the nearest ten.
- Compare estimated quotients with actual quotients.
- Discuss situations where estimation is practical.
- Practice estimation in real-life contexts.

How can division help us solve real-life problems?
How can we estimate quotients?

- Mentor Mathematics Learner's Book Grade 5 page 61.
- Number cards.
- Multiplication tables.
- Games involving division.
- Real-life division problems.
- Mentor Mathematics Learner's Book Grade 5 page 63.
- Flash cards with related multiplication and division facts.
- Chart showing the relationship.
- Games involving related facts.
- Mentor Mathematics Learner's Book Grade 5 page 65.
- Number line.
- Number cards.
- Chart showing estimation examples.
- Real-life problems.

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

NUMBERS

Division – Combined operations

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

- Perform combined operations involving addition, subtraction, multiplication and division.
- Apply the correct order of operations.
- Appreciate combined operations in real life.

The learner is guided to:
- Work out questions involving addition, subtraction, multiplication and division.
- Apply the correct order of operations.
- Create and solve problems involving combined operations.
- Discuss real-life applications of combined operations.

How do we solve problems with combined operations?

- Mentor Mathematics Learner's Book Grade 5 page 67.
- Number wheel.
- Number cards.
- Chart showing combined operations.
- Real-life problems.
- Mentor Mathematics Learner's Book Grade 5 page 69.
- Games involving combined operations.
- Digital devices (optional).

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