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.

- 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
Whole Numbers – Numbers up to hundreds of thousands in symbols

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

- 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 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.

Why is total value of digits important in real life?

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

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

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.

Why is it important to read and write numbers in words?

- 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.
- Charts with numbers.
- Comparing symbols cards.

- Oral reading assessment. - Written exercises. - Group work observation. - Peer assessment.

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.

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.
- Mentor Mathematics Learner's Book Grade 5 page 17.
- 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 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).
- Mentor Mathematics Learner's Book Grade 5 page 21.

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

NUMBERS

Whole Numbers – Divisibility tests of 2, 5 and 10
Whole Numbers – Highest Common Factor (HCF) and Greatest Common Divisor (GCD)

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

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

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

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.

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

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

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.
- Mentor Mathematics Learner's Book Grade 5 page 33.
- Real-life addition problems.

- 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 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.
- Mentor Mathematics Learner's Book Grade 5 page 35.
- Real-life addition problems.

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

NUMBERS

Addition – Estimating sum by rounding off
Addition – Creating patterns involving addition

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

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

NUMBERS

Subtraction – Subtraction of up to 6-digit numbers without regrouping
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 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.
- Mentor Mathematics Learner's Book Grade 5 page 42.

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

NUMBERS

Subtraction – Subtraction of up to 6-digit numbers with regrouping
Subtraction – Estimating difference by rounding off

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.
- Mentor Mathematics Learner's Book Grade 5 page 45.
- Number line.
- 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
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:

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

- 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:

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

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

NUMBERS

Multiplication – Estimating product by rounding off
Multiplication – Making patterns involving multiplication

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

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

NUMBERS

Multiplication – Making patterns involving multiplication
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:

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

- 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
Division – Relationship between multiplication and division

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.
- 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.

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

NUMBERS

Division – Estimating quotients by rounding off
Division – Combined operations

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.
- Mentor Mathematics Learner's Book Grade 5 page 67.
- Number wheel.
- Chart showing combined operations.

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

NUMBERS

Division – Combined operations
Fractions – Simplifying fractions

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

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

NUMBERS

Fractions – Comparing fractions
Fractions – Ordering 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.
- Mentor Mathematics Learner's Book Grade 5 page 77.
- Fraction number line.
- Real objects for demonstration.

- 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
Fractions – Adding fractions with one renaming

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.
- Mentor Mathematics Learner's Book Grade 5 page 84.

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

NUMBERS

Fractions – Adding fractions with one renaming
Fractions – Subtracting fractions with one renaming

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

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

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

NUMBERS

Fractions – Subtracting fractions with one renaming
Decimals – Place value of decimals up to thousandths

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

- 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.
- 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 presentation.

NUMBERS

Decimals – Place value of decimals up to thousandths
Decimals – Ordering decimals up to thousandths

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

- Identify 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.
- Mentor Mathematics Learner's Book Grade 5 page 93.
- Decimal number line.
- Comparison symbol cards.
- Real-life data with decimals.

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

NUMBERS

Decimals – Ordering decimals up to thousandths
Decimals – Adding decimals up to thousandths

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

- Order decimals up to thousandths from largest to smallest.
- Apply ordering of decimals in different contexts.
- Show genuine interest in ordering decimals.

The learner is guided to:
- Order decimals up to thousandths from largest to smallest using number cards or number line.
- Create and solve real-life problems involving ordering of decimals.
- Develop strategies for comparing and ordering decimals.
- Play games involving ordering of decimals.

How does ordering decimals help us in real life?

- Mentor Mathematics Learner's Book Grade 5 page 95.
- Decimal number line.
- Number cards with decimals.
- Games involving decimals.
- Real-life data with decimals.
- Mentor Mathematics Learner's Book Grade 5 page 96.
- Place value apparatus.
- Decimal place value chart.
- Real-life problems with decimals.

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

NUMBERS

Decimals – Subtracting decimals up to thousandths
Simple Equations – Forming simple equations with one unknown

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

- Subtract decimals up to thousandths.
- Align decimal points correctly during subtraction.
- Apply subtraction of decimals in real life.

The learner is guided to:
- Work out subtraction of decimals up to thousandths using place value apparatus.
- Align decimal points correctly during subtraction.
- Create and solve problems involving subtraction of decimals.
- Discuss real-life applications of subtraction of decimals.

How do we subtract decimals in real life?

- Mentor Mathematics Learner's Book Grade 5 page 98.
- Place value apparatus.
- Decimal place value chart.
- Number cards with decimals.
- Real-life problems with decimals.
- Mentor Mathematics Learner's Book Grade 5 page 101.
- Charts with equation examples.
- Real-life problems.
- Digital devices (optional).

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

NUMBERS

Simple Equations – Forming simple equations with one unknown
Simple Equations – Solving simple equations with one unknown

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

- Form simple equations from word problems.
- Translate real-life situations into equations.
- Show genuine interest in forming equations.

The learner is guided to:
- Translate word problems into simple equations.
- Form equations from different real-life situations.
- Create their own real-life scenarios and form equations from them.
- Share and discuss their equations with classmates.

How can we translate real-life situations into equations?

- Mentor Mathematics Learner's Book Grade 5 page 102.
- Word problem cards.
- Charts with equation examples.
- Digital devices (optional).
- Real-life scenarios.
- Mentor Mathematics Learner's Book Grade 5 page 103.
- Real-life problems.

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

NUMBERS

Simple Equations – Solving simple equations with one unknown

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

- Solve simple equations with one unknown involving subtraction.
- Apply solving equations in real-life situations.
- Appreciate the use of equations in problem-solving.

The learner is guided to:
- Solve equations with one unknown involving subtraction.
- Check their answers by substituting back into the original equation.
- Create and solve problems involving simple equations.
- Discuss real-life applications of equations.

How can solving equations help us in daily life?

- Mentor Mathematics Learner's Book Grade 5 page 104.
- Charts with equation examples.
- Real-life problems.
- Digital devices (optional).
- Mentor Mathematics Learner's Book Grade 5 page 105.

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

NUMBERS
MEASUREMENT

Simple Equations – Application of simple equations
Length - Identifying the kilometre (km) as a unit of measuring length

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

- Form and solve simple equations from word problems.
- Apply equations in different situations.
- Appreciate the use of equations in problem-solving.

The learner is guided to:
- Translate word problems into simple equations.
- Solve the equations and interpret the results in context.
- Create real-life problems that can be solved using equations.
- Share and discuss their problems with classmates.

How can we use equations to solve everyday problems?

- Mentor Mathematics Learner's Book Grade 5 page 107.
- Word problem cards.
- Charts with equation examples.
- Digital devices (optional).
- Mentor Mathematics learners book grade 5 page 109
- Road signs showing distances
- Maps
- Digital devices

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

MEASUREMENT

Length - Estimating distance in kilometres (1)
Length - Relationship between kilometre and metre (1)
Length - Relationship between kilometre and metre (2)
Length - Converting kilometres to metres and vice versa (1)

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

- Estimate distance in kilometres in real life situations
- Appreciate the use of kilometres in estimating distances

In groups and individually, learners are guided to:
- Discuss in groups and estimate distance in kilometres practically using play materials such as ropes and share their estimates
- Estimate distances between various landmarks in the school compound

Why do you measure distance?

- Mentor Mathematics learners book grade 5 page 110
- Measuring tapes
- Maps
- Ropes
- Mentor Mathematics learners book grade 5 page 112
- 1 metre ruler
- Metre sticks
- Tape measure
- Mentor Mathematics learners book grade 5 page 113
- Digital devices
- Mentor Mathematics learners book grade 5 page 113-114
- Conversion charts

- Oral questions - Observation - Written exercises

MEASUREMENT

Length - Converting kilometres to metres and vice versa (2)
Length - Addition of metres and kilometres
Length - Subtraction of metres and kilometres

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

- Convert metres to kilometres in real life situations
- Appreciate the use of conversion in real life

In groups and individually, learners are guided to:
- Convert metres to kilometres using the relationship 1 km = 1,000 m
- Solve problems involving conversion of metres to kilometres
- Apply conversion in real-life problems

How do you measure distance?

- Mentor Mathematics learners book grade 5 page 115
- Conversion charts
- Digital devices
- Mentor Mathematics learners book grade 5 page 116-118
- Maps
- Mentor Mathematics learners book grade 5 page 119-120

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Length - Multiplication of metres and kilometres by whole numbers
Length - Division of metres and kilometres by whole numbers (1)

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

- Multiply metres and kilometres by whole numbers in real life situations
- Solve problems involving multiplication of metres and kilometres

In groups and individually, learners are guided to:
- Multiply metres and kilometres by whole numbers
- Solve real-life problems involving multiplication of metres and kilometres
- Calculate total distances for repeated journeys

How do we use multiplication of length in real life?

- Mentor Mathematics learners book grade 5 page 121-122
- Multiplication tables
- Digital devices
- Mentor Mathematics learners book grade 5 page 123

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Length - Division of metres and kilometres by whole numbers (2)
Area - The square centimetre (cm²) as a unit of measuring area (1)

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

- Divide metres and kilometres by whole numbers with remainders
- Solve complex problems involving division of metres and kilometres

In groups and individually, learners are guided to:
- Divide metres and kilometres by whole numbers with remainders
- Solve complex real-life problems involving division of metres and kilometres
- Calculate distances in practical situations

How do we use division of length in real life?

- Mentor Mathematics learners book grade 5 page 124
- Digital devices
- Mentor Mathematics learners book grade 5 page 124-125
- Square cut-outs
- 1 cm squares
- Scissors
- Glue

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Area - The square centimetre (cm²) as a unit of measuring area (2)
Area - Working out area of rectangles in square centimetres (1)

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

- Measure area of different surfaces in square centimetres
- Appreciate the use of cm² in measuring area

In groups and individually, learners are guided to:
- Measure the area of different surfaces using square centimetre cut-outs
- Compare the areas of different surfaces
- Record and discuss their findings

How can you determine the area of different surfaces?

- Mentor Mathematics learners book grade 5 page 125-126
- Square cut-outs
- 1 cm squares
- Various surfaces to measure
- Mentor Mathematics learners book grade 5 page 126-127
- Rulers
- Charts with rectangles

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Area - Working out area of rectangles in square centimetres (2)
Area - Working out area of squares in square centimetres (1)

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

- Apply the formula for area of rectangles in different situations
- Solve problems involving area of rectangles

In groups and individually, learners are guided to:
- Work out the area of different rectangles using the formula (length × width)
- Solve real-life problems involving area of rectangles
- Calculate the area of rectangular objects

How can you determine the area of different surfaces?

- Mentor Mathematics learners book grade 5 page 127-128
- Rulers
- Rectangular objects
- Charts with rectangles
- Mentor Mathematics learners book grade 5 page 129-130
- Square cut-outs
- Charts with squares

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Area - Working out area of squares in square centimetres (2)
Volume - The cubic centimetre (cm³) as a unit of measuring volume

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

- Apply the formula for area of squares in different situations
- Solve problems involving area of squares

In groups and individually, learners are guided to:
- Work out the area of different squares using the formula (side × side)
- Solve real-life problems involving area of squares
- Calculate the area of square objects

How can you determine the area of different surfaces?

- Mentor Mathematics learners book grade 5 page 130-131
- Rulers
- Square objects
- Charts with squares
- Mentor Mathematics learners book grade 5 page 132-133
- 1 cm cubes
- Digital devices
- Videos

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Volume - Deriving the formula for volume of cuboid (1)
Volume - Deriving the formula for volume of cuboid (2)

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

- Understand how to arrange cubes to form a cuboid
- Count the number of cubes in a cuboid arrangement
- Appreciate the concept of volume as space occupied

In groups and individually, learners are guided to:
- Arrange cubes to form cuboids
- Count the total number of cubes used to make the cuboid
- Identify the length, width and height of the cuboid in terms of number of cubes

Where is Volume applicable in real life?

- Mentor Mathematics learners book grade 5 page 134
- 1 cm cubes
- Digital devices
- Videos
- Cuboid models
- Mentor Mathematics learners book grade 5 page 135

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Volume - Working out volume of cuboids in cubic centimetres

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

- Work out volume of cuboids in cubic centimetres (cm³) using the formula
- Solve problems involving volume of cuboids

In groups and individually, learners are guided to:
- Apply the formula V = l × w × h to calculate volumes of cuboids
- Work out volumes of various cuboids in real life
- Solve real-life problems involving volumes of cuboids

Where is Volume applicable in real life?

- Mentor Mathematics learners book grade 5 page 136
- Cuboid models
- Digital devices
- Measuring tools

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

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

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

- Derive the formula for the volume of cube as V = s × s × s practically
- Apply the formula to calculate volumes

In groups and individually, learners are guided to:
- Arrange cubes to form larger cubes
- Establish that the total number of cubes represents the volume of the cube formed
- Discuss the formula for volume of a cube V = s × s × s where s is the side of a cube

Where is Volume applicable in real life?

- Mentor Mathematics learners book grade 5 page 137
- 1 cm cubes
- Digital devices
- Videos
- Cube models
- Mentor Mathematics learners book grade 5 page 138-139
- Measuring tools

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Capacity - Identifying the millilitre as a unit of measuring capacity
Capacity - Measuring capacity in millilitres (1)

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

- Identify the millilitre as a unit of measuring capacity in real life
- Appreciate use of millilitres in real life

In groups and individually, learners are guided to:
- Fill a teaspoon or cylindrical container graduated in millilitres with water and identify that the spoon or cylinder holds 5 millilitres
- Divide the water in the spoon or cylinder into 5 equal parts and identify each part as 1 millilitre
- Discuss where millilitres are used to measure capacity

Where are litres and millilitres used in day-to-day life?

- Mentor Mathematics learners book grade 5 page 139-140
- Teaspoons
- Graduated cylinders
- Water
- Various containers
- Mentor Mathematics learners book grade 5 page 141
- Measuring spoons

- Oral questions - Written exercises - Observation

MEASUREMENT

Capacity - Measuring capacity in millilitres (2)
Capacity - Estimating and measuring capacity in multiples of 5 millilitres (1)

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

- Measure capacity in millilitres in different situations
- Record measurements accurately
- Appreciate use of millilitres in real life

In groups and individually, learners are guided to:
- Watch a video on measuring capacity in millilitres
- Measure and record the capacity of various containers in millilitres
- Discuss the importance of accurate measurement

Where are litres and millilitres used in day-to-day life?

- Mentor Mathematics learners book grade 5 page 142
- Graduated cylinders
- Various containers
- Water
- Digital devices
- Videos
- Mentor Mathematics learners book grade 5 page 143
- Measuring spoons

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Capacity - Estimating and measuring capacity in multiples of 5 millilitres (2)
Capacity - Relationship between litres and millilitres

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

- Measure capacity in multiples of 5 millilitres in different situations
- Compare estimated and actual measurements
- Appreciate the importance of accurate measurement

In groups and individually, learners are guided to:
- Measure the actual capacity of containers they estimated
- Compare their estimates with actual measurements
- Discuss the accuracy of their estimates and how to improve

Where are litres and millilitres used in day-to-day life?

- Mentor Mathematics learners book grade 5 page 143
- Graduated cylinders
- Various containers
- Water
- Measuring spoons
- Mentor Mathematics learners book grade 5 page 144
- 1-litre containers
- 100 mL containers
- Digital devices

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Capacity - Converting litres to millilitres and vice versa (1)
Capacity - Converting litres to millilitres and vice versa (2)

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

- Convert litres to millilitres in real life situations
- Apply conversion in solving problems

In groups and individually, learners are guided to:
- Convert litres to millilitres using the relationship 1 L = 1,000 mL
- Solve problems involving conversion of litres to millilitres
- Apply conversion in real-life problems

Where are litres and millilitres used in day-to-day life?

- Mentor Mathematics learners book grade 5 page 145
- Conversion charts
- Digital devices
- Mentor Mathematics learners book grade 5 page 146-147

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

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

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

- Add litres and millilitres in real life situations
- Solve problems involving addition of litres and millilitres

In groups and individually, learners are guided to:
- Add litres and millilitres with regrouping
- Solve real-life problems involving addition of litres and millilitres
- Calculate total capacity in practical situations

How do we apply addition of capacity in real life?

- Mentor Mathematics learners book grade 5 page 148-149
- Graduated containers
- Digital devices
- Mentor Mathematics learners book grade 5 page 150-151

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

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

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

- Multiply litres and millilitres by whole numbers in real life situations
- Solve problems involving multiplication of litres and millilitres

In groups and individually, learners are guided to:
- Multiply litres and millilitres by whole numbers
- Solve real-life problems involving multiplication of litres and millilitres
- Calculate total capacity of multiple containers

How do we apply multiplication of capacity in real life?

- Mentor Mathematics learners book grade 5 page 151-152
- Multiplication tables
- Digital devices
- Mentor Mathematics learners book grade 5 page 152-153

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Mass - Identifying the gram as a unit of measuring mass
Mass - Measuring mass in grams (1)

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

- Identify the gram as a unit of measuring mass in real life
- Appreciate the use of grams in measuring mass in real life

In groups and individually, learners are guided to:
- Discuss in groups, scoop sand or soil using a teaspoon and explain that the amount scooped is about 5 grams
- Divide the amount scooped into 5 equal groups, each being about one gram
- Identify where grams are used to measure mass in real life

What is the importance of measuring mass?

- Mentor Mathematics learners book grade 5 page 153-154
- Teaspoons
- Sand or soil
- Electronic/manual weighing machine
- Mentor Mathematics learners book grade 5 page 155
- Various small objects

- Oral questions - Written exercises - Observation

MEASUREMENT

Mass - Measuring mass in grams (2)

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

- Measure mass in grams accurately
- Record and compare measurements
- Appreciate measuring mass in grams in real life

In groups and individually, learners are guided to:
- Watch a video on measuring mass in grams
- Measure the mass of various classroom objects in grams
- Record and compare their measurements
- Discuss the importance of accurate measurement

What is the importance of measuring mass?

- Mentor Mathematics learners book grade 5 page 156
- Electronic/manual weighing machine
- Various small objects
- Digital devices
- Videos

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Mass - Estimating and measuring mass in grams (1)
Mass - Estimating and measuring mass in grams (2)

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

- Estimate mass in grams in different situations
- Appreciate estimating mass in real life

In groups and individually, learners are guided to:
- Estimate the mass of different items in grams
- Discuss strategies for estimating mass
- Compare their estimates with each other

What is the importance of measuring mass?

- Mentor Mathematics learners book grade 5 page 157
- Electronic/manual weighing machine
- Various small objects
- Mentor Mathematics learners book grade 5 page 158
- Beam balance

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Mass - Relationship between kilogram and gram
Mass - Converting kilograms to grams and vice versa (1)

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

- Identify the relationship between the kilogram and the gram in real life situations
- Appreciate the relationship between kilogram and gram

In groups and individually, learners are guided to:
- Establish the relationship between the kilogram and the gram using a beam balance or electronic weighing machine (1 kg = 1,000 g)
- Use a 100 g container to fill one side of a beam balance until it balances with 1 kg
- Discuss the relationship and its application in real life

What is the importance of measuring mass?

- Mentor Mathematics learners book grade 5 page 159
- 1 kg mass
- 100 g containers
- Beam balance
- Electronic weighing machine
- Mentor Mathematics learners book grade 5 page 160-161
- Conversion charts
- Digital devices

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Mass - Converting kilograms to grams and vice versa (2)
Mass - Addition of grams and kilograms

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

- Convert grams to kilograms in real life situations
- Apply conversion in solving problems

In groups and individually, learners are guided to:
- Convert grams to kilograms using the relationship 1 kg = 1,000 g
- Solve problems involving conversion of grams to kilograms
- Apply conversion in real-life problems

What is the importance of measuring mass?

- Mentor Mathematics learners book grade 5 page 162
- Conversion charts
- Digital devices
- Mentor Mathematics learners book grade 5 page 163-164

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

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

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

- Subtract grams and kilograms in real life situations
- Solve problems involving subtraction of grams and kilograms

In groups and individually, learners are guided to:
- Subtract grams and kilograms with regrouping
- Solve real-life problems involving subtraction of grams and kilograms
- Calculate remaining mass in practical situations

How do we apply subtraction of mass in real life?

- Mentor Mathematics learners book grade 5 page 165-166
- Digital devices
- Mentor Mathematics learners book grade 5 page 167-168
- Multiplication tables

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

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

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

- Divide grams and kilograms by whole numbers in real life situations
- Solve problems involving division of grams and kilograms

In groups and individually, learners are guided to:
- Divide grams and kilograms by whole numbers
- Solve real-life problems involving division of grams and kilograms
- Calculate mass shared equally among containers or groups

How do we apply division of mass in real life?

- Mentor Mathematics learners book grade 5 page 169-170
- Digital devices
- Mentor Mathematics learners book grade 5 page 171
- Analogue clocks
- Digital clocks
- Stopwatches

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Time - Relationship between minute and second
Time - Converting minutes to seconds and vice versa (1)

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

- Identify the relationship between the minute and the second in real life situations
- Appreciate the relationship between minutes and seconds

In groups and individually, learners are guided to:
- Establish the relationship between seconds and minute using a clock or stopwatch (1 minute = 60 seconds)
- Measure time taken to do various activities in seconds and minutes
- Discuss the relationship and its application in real life

How can we read and tell time?

- Mentor Mathematics learners book grade 5 page 172
- Analogue clocks
- Digital clocks
- Stopwatches
- Digital devices
- Mentor Mathematics learners book grade 5 page 173
- Conversion charts
- Clocks

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Time - Converting minutes to seconds and vice versa (2)
Time - Addition of minutes and seconds with conversion

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

- Convert seconds to minutes in real life
- Apply conversion in solving problems

In groups and individually, learners are guided to:
- Convert seconds to minutes using the relationship 1 minute = 60 seconds
- Solve problems involving conversion of seconds to minutes
- Apply conversion in real-life problems

How can we read and tell time?

- Mentor Mathematics learners book grade 5 page 174
- Conversion charts
- Digital devices
- Clocks
- Stopwatches
- Mentor Mathematics learners book grade 5 page 175-176

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

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

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

- Subtract minutes and seconds with conversion in real life situations
- Solve problems involving subtraction of minutes and seconds

In groups and individually, learners are guided to:
- Subtract minutes and seconds with regrouping
- Solve real-life problems involving subtraction of minutes and seconds
- Calculate time differences in practical situations

How can we apply subtraction of time in real life?

- Mentor Mathematics learners book grade 5 page 177-178
- Digital devices
- Clocks
- Stopwatches
- Mentor Mathematics learners book grade 5 page 178
- Multiplication tables
- Mentor Mathematics learners book grade 5 page 179

- Oral questions - Written exercises - Assessment rubrics