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.

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.

Where is place value used 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.
- Scissors.
- Adhesive materials.

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

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:

- Use place value and total value of digits up to hundreds of thousands in different problems.
- Solve problems involving place value and total value.
- Appreciate use of place value and total value in real life.

The learner is guided to:
- Solve problems involving place value and total value.
- Create their own problems involving place value and total value.
- Share and discuss their problems with other groups.
- Use digital devices or other resources to learn more about place value.

How is place value and total value used to solve problems?

- Mentor Mathematics Learner's Book Grade 5 page 5.
- Place value apparatus.
- Number cards.
- Digital devices (optional).
- Mentor Mathematics Learner's Book Grade 5 page 6.
- Number charts.
- Flash cards with large numbers.

- Observation. - Oral questions. - Written exercises. - Individual assessment.

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:

- Use numbers up to hundreds of thousands in symbols in different contexts.
- Form numbers with different digits.
- Appreciate use of numbers up to hundreds of thousands in real life.

The learner is guided to:
- Form different numbers using given digits.
- Identify the smallest and largest numbers that can be formed using given digits.
- Create and solve problems involving numbers in symbols.
- Discuss real-life contexts where large numbers are used.

How are large numbers represented and used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 7.
- Number cards.
- Place value charts.
- Real-life examples with large numbers.
- Mentor Mathematics Learner's Book Grade 5 page 8.
- Number charts.
- Flash cards with numbers in words.
- Reference materials.

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

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:

- Convert between numbers in symbols and numbers in words.
- Apply reading and writing numbers in words in real-life situations.
- Appreciate importance of reading and writing numbers in words.

The learner is guided to:
- Convert numbers from symbols to words and from words to symbols.
- Create and solve problems involving numbers in words.
- Discuss real-life contexts where writing numbers in words is important.
- Practice reading and writing numbers in words.

Where do we use numbers in words in real life?

- Mentor Mathematics Learner's Book Grade 5 page 9.
- Number charts.
- Number cards.
- Flash cards with numbers in words.
- Real-life documents with numbers in words.
- Games involving numbers in words.
- Real-life documents.

- Observation. - Oral questions. - Written exercises. - Individual 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 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:
- 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.

Where is ordering of numbers used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 10.
- Number cards.
- Charts with numbers.
- Comparing symbols cards.

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

NUMBERS

Whole Numbers – Ordering numbers up to tens of thousands

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.

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

NUMBERS

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:

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

The learner is guided to:
- Fill in the missing numbers on a number line.
- Identify whether numbers are closer to the previous or next hundred on the number line.
- Round off numbers to the nearest hundred using a number line.
- Share their work with other groups.

Why do we round off numbers?

- Mentor Mathematics Learner's Book Grade 5 page 15.
- Number line charts.
- Number cards.
- Real-life examples requiring rounding.

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

NUMBERS

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:

- 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.

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.

How is rounding off numbers to the nearest hundred 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.

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

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:

- 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:
- 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 thousand useful in everyday life?

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

- 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.

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.

Where are divisibility tests used in real life?

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

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

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 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 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.

When do we use divisibility tests in real life?

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

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

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 10 in real life.
- Identify numbers divisible by 10 without a remainder.
- Appreciate the use of divisibility tests of 10.

The learner is guided to:
- Use number cards to divide different numbers by 10 and come up with divisibility rules.
- Identify and list numbers divisible by 10.
- Discuss the pattern observed in numbers divisible by 10.
- Apply divisibility test of 10 in solving problems.

How does knowledge of divisibility rules help in solving mathematical problems?

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

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

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)

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.

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.

How is HCF and GCD helpful in everyday situations?

- Mentor Mathematics Learner's Book Grade 5 page 26.
- Number charts.
- Multiplication tables.
- Factors and multiples charts.

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

NUMBERS

Whole Numbers – Least Common Multiple (LCM)

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

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

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.

Where is LCM used in real life?

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

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

NUMBERS

Whole Numbers – Least Common Multiple (LCM)

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

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

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.

Where is LCM used in real life?

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

- 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

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.

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.

How is addition of large numbers useful in real life?

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

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

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 up to two 6-digit numbers with double regrouping up to a sum of 1,000,000.
- Use place value apparatus for addition with regrouping.
- Appreciate using addition in real life situations.

The learner is guided to:
- Work out addition of up to two 6-digit numbers with double regrouping up to 1,000,000 using place value apparatus.
- Practice addition with regrouping using abacus and number cards.
- Solve addition problems involving regrouping.
- Discuss real-life contexts where addition with regrouping is applied.

How is addition with regrouping useful in solving real-life problems?

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

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

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 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 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.

Where do we use addition with regrouping in real life?

- 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

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.

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.

How can you create patterns in addition?

- Mentor Mathematics Learner's Book Grade 5 page 38.
- Number cards.
- Chart showing number patterns.
- Digital devices (optional).
- Pattern worksheets.

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

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

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.

Where is subtraction used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 40.
- Place value apparatus.
- Abacus.
- Number cards.
- Chart with subtraction examples.

- 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.

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

NUMBERS

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

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

- Apply subtraction of up to 6-digit numbers with regrouping in problem solving.
- Develop strategies for subtraction with regrouping.
- Show genuine interest in subtraction.

The learner is guided to:
- Practice more examples of subtraction with regrouping.
- Create and solve real-life problems involving subtraction with regrouping.
- Develop and share strategies for subtraction with regrouping.
- Play games involving subtraction of numbers.

Where do we use subtraction with regrouping in real life?

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

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

NUMBERS

Subtraction – Estimating difference by rounding off

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.

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.

Why do we need to estimate differences 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.

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

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.
- Apply the correct order of operations.
- Appreciate combined operations in real life.

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.

Where do we use combined operations in real life?

- Mentor Mathematics Learner's Book Grade 5 page 47.
- Number wheel.
- Number cards.
- Chart showing combined operations.
- Real-life problems.

- 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.

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.

Where is multiplication used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 50.
- Multiplication tables.
- Number cards.
- Chart with multiplication examples.
- Real-life problems.

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

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:

- 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:
- 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.

How can multiplication help us solve real-life problems?

- Mentor Mathematics Learner's Book Grade 5 page 51.
- Multiplication tables.
- Number cards.
- Games involving multiplication.
- Real-life multiplication problems.

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

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:

- 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:
- 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.

How can multiplication help us solve real-life problems?

- Mentor Mathematics Learner's Book Grade 5 page 51.
- Multiplication tables.
- Number cards.
- Games involving multiplication.
- Real-life multiplication problems.

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

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 using different methods.
- Compare different methods of multiplication.
- Apply multiplication in real-life contexts.

The learner is guided to:
- Explore different methods for multiplying 3-digit by 2-digit numbers.
- Compare and discuss the efficiency of different methods.
- Solve complex multiplication problems.
- Apply multiplication in real-life contexts.

What are some efficient methods for multiplication?

- Mentor Mathematics Learner's Book Grade 5 page 52.
- Multiplication tables.
- Chart showing different multiplication methods.
- Digital devices (optional).
- Real-life problems.

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

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.

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.

How can you form patterns involving multiplication?

- Mentor Mathematics Learner's Book Grade 5 page 55.
- Number cards.
- Multiplication tables.
- Chart showing number patterns.
- Pattern worksheets.

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

NUMBERS

Multiplication – Making patterns involving multiplication

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

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

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 does recognizing patterns help in mathematics?

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

- 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

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.

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.

How can division help us solve real-life problems?

- Mentor Mathematics Learner's Book Grade 5 page 61.
- Number cards.
- Multiplication tables.
- Games involving division.
- Real-life division problems.

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

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.
- Convert between multiplication and division equations.
- Appreciate the connection between operations.

The learner is guided to:
- Discuss and demonstrate that multiplication is the opposite of division.
- Convert multiplication equations to division equations and vice versa.
- Use the relationship to check division answers.
- Solve problems using the relationship between multiplication and division.

How can we use the relationship between multiplication and division?

- Mentor Mathematics Learner's Book Grade 5 page 63.
- Flash cards with related multiplication and division facts.
- Number cards.
- Chart showing the relationship.
- Games involving related facts.

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

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 to the nearest ten.
- Apply estimation in real life situations.
- Appreciate the importance of estimation.

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 we estimate quotients?

- 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.

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

NUMBERS

Division – Combined operations

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

- Apply the order of operations in complex problems.
- Create problems involving combined operations.
- Show genuine interest in solving combined operations.

The learner is guided to:
- Solve more complex problems involving combined operations.
- Create their own problems involving combined operations.
- Discuss strategies for solving combined operations.
- Play games involving combined operations.

Why is the order of operations important in mathematics?

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

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

NUMBERS

Fractions – Simplifying fractions

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

- Simplify fractions to their lowest terms.
- Identify equivalent fractions.
- Appreciate the use of fractions in real life.

The learner is guided to:
- Identify equivalent fractions using a fraction board or chart.
- Represent equivalent fractions using real objects.
- Simplify given fractions using a fraction chart.
- Discuss real-life applications of simplified fractions.

Why do we simplify fractions?

- Mentor Mathematics Learner's Book Grade 5 page 73.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Real objects for demonstration.

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

NUMBERS

Fractions – Comparing fractions

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

- Compare fractions with different denominators.
- Use symbols (<, >, =) to compare fractions.
- Apply comparison of fractions in real life.

The learner is guided to:
- Compare given fractions using paper cut-outs and concrete objects.
- Use symbols (<, >, =) to show the relationship between fractions.
- Convert fractions to equivalent fractions with same denominators for comparison.
- Discuss real-life situations requiring comparison of fractions.

Why do we compare fractions in real life?

- Mentor Mathematics Learner's Book Grade 5 page 75.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Comparison symbol cards.

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

NUMBERS

Fractions – Ordering fractions

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

- Order fractions with denominators not exceeding 12.
- Arrange fractions in ascending and descending order.
- Apply ordering of fractions in real life.

The learner is guided to:
- Order given fractions in increasing and decreasing order using a number line, paper cut-outs, real objects.
- Convert fractions to equivalent fractions with same denominators for ordering.
- Create and solve problems involving ordering of fractions.
- Discuss real-life applications of ordering fractions.

Where are fractions used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 77.
- Fraction number line.
- Fraction chart.
- Paper cut-outs.
- Real objects for demonstration.

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

NUMBERS

Fractions – Adding fractions with same denominator

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

- Add fractions with same denominator.
- Simplify sums of fractions.
- Apply addition of fractions in real life.

The learner is guided to:
- Add two fractions with the same denominator using paper cut-outs, number line, real objects.
- Simplify the sum of fractions.
- Create and solve problems involving addition of fractions.
- Discuss real-life applications of addition of fractions.

How do we add fractions in real life?

- Mentor Mathematics Learner's Book Grade 5 page 79.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Number line.

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

NUMBERS

Fractions – Adding fractions with same denominator

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

- Add fractions with same denominator.
- Simplify sums of fractions.
- Apply addition of fractions in real life.

The learner is guided to:
- Add two fractions with the same denominator using paper cut-outs, number line, real objects.
- Simplify the sum of fractions.
- Create and solve problems involving addition of fractions.
- Discuss real-life applications of addition of fractions.

How do we add fractions in real life?

- Mentor Mathematics Learner's Book Grade 5 page 79.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Number line.

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

NUMBERS

Fractions – Subtracting fractions with same denominator

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

- Subtract fractions with same denominator.
- Simplify differences of fractions.
- Apply subtraction of fractions in real life.

The learner is guided to:
- Subtract two fractions with the same denominator using paper cut-outs, number line, real objects.
- Simplify the difference of fractions.
- Create and solve problems involving subtraction of fractions.
- Discuss real-life applications of subtraction of fractions.

How do we subtract fractions in real life?

- Mentor Mathematics Learner's Book Grade 5 page 81.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Number line.

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

NUMBERS

Fractions – Adding fractions with one renaming

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

- Add fractions with one renaming.
- Convert fractions to equivalent fractions with same denominator.
- Apply addition of fractions in real life.

The learner is guided to:
- Carry out addition of two fractions by renaming one fraction using equivalent fractions.
- Simplify the sum of fractions.
- Create and solve problems involving addition of fractions with one renaming.
- Discuss real-life applications.

Why do we need to rename fractions before adding?

- Mentor Mathematics Learner's Book Grade 5 page 84.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Number line.

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

NUMBERS

Fractions – Adding fractions with one renaming

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

- Apply addition of fractions with one renaming in problem solving.
- Develop strategies for adding fractions with different denominators.
- Show genuine interest in adding fractions.

The learner is guided to:
- Practice more examples of addition of fractions with one renaming.
- Create and solve real-life problems involving addition of fractions.
- Develop and share strategies for adding fractions with different denominators.
- Play games involving addition of fractions.

How can addition of fractions help us solve real-life problems?

- Mentor Mathematics Learner's Book Grade 5 page 85.
- Fraction board.
- Fraction chart.
- Games involving fractions.
- Real-life fraction problems.

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

NUMBERS

Fractions – Subtracting fractions with one renaming

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

- Subtract fractions with one renaming.
- Convert fractions to equivalent fractions with same denominator.
- Apply subtraction of fractions in real life.

The learner is guided to:
- Carry out subtraction of two fractions by renaming one fraction using equivalent fractions.
- Simplify the difference of fractions.
- Create and solve problems involving subtraction of fractions with one renaming.
- Discuss real-life applications.

Why do we need to rename fractions before subtracting?

- Mentor Mathematics Learner's Book Grade 5 page 86.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Number line.

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

NUMBERS

Fractions – Subtracting fractions with one renaming

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

- Apply subtraction of fractions with one renaming in problem solving.
- Develop strategies for subtracting fractions with different denominators.
- Show genuine interest in subtracting fractions.

The learner is guided to:
- Practice more examples of subtraction of fractions with one renaming.
- Create and solve real-life problems involving subtraction of fractions.
- Develop and share strategies for subtracting fractions with different denominators.
- Play games involving subtraction of fractions.

How can subtraction of fractions help us solve real-life problems?

- Mentor Mathematics Learner's Book Grade 5 page 87.
- Fraction board.
- Fraction chart.
- Games involving fractions.
- Real-life fraction problems.

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

NUMBERS

Decimals – Place value of decimals up to thousandths

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

- Identify place value of decimals up to thousandths.
- Read and write decimals up to thousandths.
- Appreciate the use of decimals in real life.

The learner is guided to:
- Work out place value of decimals up to thousandths using a place value chart.
- Read and write decimals up to thousandths.
- Identify the value of digits in different decimal places.
- Discuss where decimals are used in real life.

Where do you use decimals in real life?

- Mentor Mathematics Learner's Book Grade 5 page 91.
- Decimal place value chart.
- Number cards with decimals.
- Real-life examples with decimals.

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

NUMBERS

Decimals – Place value of decimals up to thousandths

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

- Identify place value and total value of digits in decimal numbers.
- Read and write decimal numbers correctly.
- Apply knowledge of decimal place value in real life.

The learner is guided to:
- Determine the place value and total value of digits in decimal numbers.
- Read and write decimal numbers correctly.
- Create and solve problems involving decimal place value.
- Discuss real-life applications of decimal place value.

What is the importance of understanding place value in decimals?

- Mentor Mathematics Learner's Book Grade 5 page 92.
- Decimal place value chart.
- Number cards with decimals.
- Digital devices (optional).
- Real-life examples with decimals.

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