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

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

NUMBERS

Whole Numbers – Reading, writing and relating numbers up to tens of thousands in words
Whole Numbers – Ordering numbers up to tens of thousands
Whole Numbers – Ordering numbers up to tens of thousands

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.
- Mentor Mathematics Learner's Book Grade 5 page 10.
- Charts with numbers.
- Comparing symbols cards.
- Mentor Mathematics Learner's Book Grade 5 page 12.
- Real-life data for ordering activities.

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

- 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.
- Mentor Mathematics Learner's Book Grade 5 page 16.
- Real-life problems requiring rounding.
- Games involving 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:

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

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

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

NUMBERS

Whole Numbers – Least Common Multiple (LCM)
Addition – Addition of up to three 6-digit numbers without regrouping

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

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

NUMBERS

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

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

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

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.
- Mentor Mathematics Learner's Book Grade 5 page 34.
- Chart with addition examples.

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

NUMBERS

Addition – Addition of up to two 6-digit numbers with double regrouping
Addition – Estimating sum by rounding off
Addition – Creating patterns involving addition

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.
- Mentor Mathematics Learner's Book Grade 5 page 36.
- Number line.
- 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.

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

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)
Subtraction – Creating patterns involving 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.
- Mentor Mathematics Learner's Book Grade 5 page 48.
- Chart showing number patterns.
- Digital devices (optional).
- Pattern worksheets.

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

- Observation. - Oral questions. - Written exercises. - Group work 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
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.
- Mentor Mathematics Learner's Book Grade 5 page 69.
- Games involving combined operations.
- Digital devices (optional).

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

NUMBERS

Fractions – Simplifying fractions
Fractions – Comparing 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.
- Mentor Mathematics Learner's Book Grade 5 page 75.
- Comparison symbol cards.

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

NUMBERS

Fractions – Ordering fractions
Fractions – Adding fractions with same denominator

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

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

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
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.
- Mentor Mathematics Learner's Book Grade 5 page 87.

- 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.
- Mentor Mathematics Learner's Book Grade 5 page 92.
- Digital devices (optional).

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

NUMBERS

Decimals – Ordering decimals up to thousandths

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

- Order decimals up to thousandths from smallest to largest.
- Compare decimals using symbols (<, >, =).
- Apply ordering of decimals in real life.

The learner is guided to:
- Order decimals up to thousandths from smallest to largest using number cards or number line.
- Compare decimals using symbols (<, >, =).
- Create and solve problems involving ordering of decimals.
- Discuss real-life applications of ordering decimals.

What is the importance of ordering decimals?

- Mentor Mathematics Learner's Book Grade 5 page 93.
- Decimal number line.
- Number cards with decimals.
- Comparison symbol cards.
- Real-life data with decimals.
- Mentor Mathematics Learner's Book Grade 5 page 95.
- Games involving decimals.

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

NUMBERS

Decimals – Adding decimals up to thousandths
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:

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

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

How do we add decimals in real life?

- Mentor Mathematics Learner's Book Grade 5 page 96.
- Place value apparatus.
- Decimal place value chart.
- Number cards with decimals.
- Real-life problems with decimals.
- Mentor Mathematics Learner's Book Grade 5 page 98.
- Mentor Mathematics Learner's Book Grade 5 page 101.
- Charts with equation examples.
- Real-life problems.
- Digital devices (optional).

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

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
MEASUREMENT
MEASUREMENT

Simple Equations – Application of simple equations
Length - Identifying the kilometre (km) as a unit of measuring length
Length - Estimating distance in kilometres (1)
Length - Estimating distance in kilometres (2)

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
- Mentor Mathematics learners book grade 5 page 110
- Measuring tapes
- Ropes
- Mentor Mathematics learners book grade 5 page 111

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

MEASUREMENT

Length - Relationship between kilometre and metre (1)
Length - Relationship between kilometre and metre (2)
Length - Converting kilometres to metres and vice versa (1)
Length - Converting kilometres to metres and vice versa (2)
Length - Addition of metres and kilometres

By the end of the lesson, the learner should be able to:
How do you measure distance?

By the end of the lesson, the learner should be able to:
- Identify the relationship between the kilometre (km) and the metre (m) in different situations
- Appreciate the relationship between km and m in real life

In groups and individually, learners are guided to: - Establish the relationship between the kilometre and metre practically - Mark distances in the field and measure them - Use a one metre ruler to make a hundred metre string

- 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
- Mentor Mathematics learners book grade 5 page 115
- Mentor Mathematics learners book grade 5 page 116-118
- Maps

- Oral questions - Written exercises - Observation

MEASUREMENT

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

By the end of the lesson, the learner should be able to:
Where is subtraction of length used in real life?

By the end of the lesson, the learner should be able to:
- Subtract metres and kilometres in real life situations
- Solve problems involving subtraction of metres and kilometres

In groups and individually, learners are guided to: - Subtract metres and kilometres with regrouping - Solve real-life problems involving subtraction of metres and kilometres - Calculate differences in distances on maps

- Mentor Mathematics learners book grade 5 page 119-120
- Maps
- Digital devices
- Mentor Mathematics learners book grade 5 page 121-122
- Multiplication tables

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Length - Division of metres and kilometres by whole numbers (1)
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:
How do we use division of length in real life?

By the end of the lesson, the learner should be able to:
- Divide metres and kilometres by whole numbers in real life situations
- Solve problems involving division of metres and kilometres

In groups and individually, learners are guided to: - Divide metres and kilometres by whole numbers - Solve real-life problems involving division of metres and kilometres - Calculate distances shared equally

- Mentor Mathematics learners book grade 5 page 123
- Digital devices
- Mentor Mathematics learners book grade 5 page 124
- 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:
How can you determine the area of different surfaces?

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

- 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:
How can you determine the area of different surfaces?

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

- 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:
How can you determine the area of different surfaces?

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

- 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)
Volume - Working out volume of cuboids in cubic centimetres

By the end of the lesson, the learner should be able to:
Where is Volume applicable in real life?

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

- Mentor Mathematics learners book grade 5 page 134
- 1 cm cubes
- Digital devices
- Videos
- Cuboid models
- Mentor Mathematics learners book grade 5 page 135
- Mentor Mathematics learners book grade 5 page 136
- 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:
Where is Volume applicable in real life?

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

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

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

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

By the end of the lesson, the learner should be able to:
Where are litres and millilitres used in day-to-day life?

By the end of the lesson, the learner should be able to:
- Identify the relationship between litres and millilitres in real life
- Appreciate the relationship between litres and millilitres

In groups and individually, learners are guided to: - Establish the relationship between litre and millilitre (1 L = 1,000 mL) - Fill a 1-litre container using 100 mL containers and count how many are needed - Discuss the relationship and its application in real life

- Mentor Mathematics learners book grade 5 page 144
- 1-litre containers
- 100 mL containers
- Water
- Digital devices
- Mentor Mathematics learners book grade 5 page 145
- Conversion charts

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

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

By the end of the lesson, the learner should be able to:
Where are litres and millilitres used in day-to-day life?

By the end of the lesson, the learner should be able to:
- Convert millilitres to litres in real life situations
- Apply conversion in solving problems

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

- Mentor Mathematics learners book grade 5 page 146-147
- Conversion charts
- Digital devices
- Mentor Mathematics learners book grade 5 page 148-149
- Graduated containers

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

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

By the end of the lesson, the learner should be able to:
How do we apply subtraction of capacity in real life?

By the end of the lesson, the learner should be able to:
- Subtract litres and millilitres in real life situations
- Solve problems involving subtraction of litres and millilitres

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

- Mentor Mathematics learners book grade 5 page 150-151
- Graduated containers
- Digital devices
- Mentor Mathematics learners book grade 5 page 151-152
- Multiplication tables

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Capacity - Division of litres and millilitres by whole numbers
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:
How do we apply division of capacity in real life?

By the end of the lesson, the learner should be able to:
- Divide litres and millilitres by whole numbers in different situations
- Solve problems involving division of litres and millilitres

In groups and individually, learners are guided to: - Divide litres and millilitres by whole numbers - Solve real-life problems involving division of litres and millilitres - Calculate capacity shared equally among containers

- Mentor Mathematics learners book grade 5 page 152-153
- Digital devices
- 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 - Assessment rubrics

MEASUREMENT

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

By the end of the lesson, the learner should be able to:
What is the importance of measuring mass?

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

- Mentor Mathematics learners book grade 5 page 156
- Electronic/manual weighing machine
- Various small objects
- Digital devices
- Videos
- Mentor Mathematics learners book grade 5 page 157

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Mass - Estimating and measuring mass in grams (2)
Mass - Relationship between kilogram and gram

By the end of the lesson, the learner should be able to:
What is the importance of measuring mass?

By the end of the lesson, the learner should be able to:
- Measure estimated mass and compare with actual measurements
- Appreciate the importance of accurate measurement

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

- Mentor Mathematics learners book grade 5 page 158
- Electronic/manual weighing machine
- Beam balance
- Various small objects
- Mentor Mathematics learners book grade 5 page 159
- 1 kg mass
- 100 g containers
- Electronic weighing machine

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Mass - Converting kilograms to grams and vice versa (1)
Mass - Converting kilograms to grams and vice versa (2)

By the end of the lesson, the learner should be able to:
What is the importance of measuring mass?

By the end of the lesson, the learner should be able to:
- Convert kilograms to grams in real life situations
- Apply conversion in solving problems

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

- Mentor Mathematics learners book grade 5 page 160-161
- Conversion charts
- Digital devices
- Mentor Mathematics learners book grade 5 page 162

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Mass - Addition of grams and kilograms
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:
How do we apply addition of mass in real life?

By the end of the lesson, the learner should be able to:
- Add grams and kilograms in real life situations
- Solve problems involving addition of grams and kilograms

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

- Mentor Mathematics learners book grade 5 page 163-164
- Digital devices
- Mentor Mathematics learners book grade 5 page 165-166
- 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:
How do we apply division of mass in real life?

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

- 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:
How can we read and tell time?

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

- 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:
How can we read and tell time?

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

- 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:
How can we apply subtraction of time in real life?

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

- 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

GEOMETRY

Lines - Identifying and drawing horizontal and vertical lines
Lines - Identifying and drawing perpendicular lines
Lines - Identifying and drawing parallel lines
Lines - Uses of various types of lines in real life
Angles - Relating a turn to angles

By the end of the lesson, the learner should be able to:
Where are horizontal and vertical lines used?

By the end of the lesson, the learner should be able to:
- Identify horizontal and vertical lines in different situations
- Draw horizontal and vertical lines in different situations
- Appreciate the use of horizontal and vertical lines in real life

In groups and individually, learners are guided to: - Identify lines in the classroom and within the environment - Describe lines in the environment and identify them as horizontal and vertical lines - Draw horizontal and vertical lines using rulers and other straight edges - Discuss real-life examples of horizontal and vertical lines

- Mentor Mathematics learners book grade 5 page 188-189
- Rulers
- Straight edges
- Chalk board ruler
- Digital devices
- Charts with examples of lines
- Mentor Mathematics learners book grade 5 page 190-191
- Set squares
- Charts with examples of perpendicular lines
- Mentor Mathematics learners book grade 5 page 192-193
- Charts with examples of parallel lines
- Mentor Mathematics learners book grade 5 page 194
- Objects with different types of lines
- Pictures showing different types of lines
- Drawing tools
- Mentor Mathematics learners book grade 5 page 195
- Objects that rotate (e.g., door, bottle cap)
- Paper cut-outs for demonstrating turns
- Pictures showing different turns

- Oral questions - Written exercises - Observation - Project

GEOMETRY

Angles - Reading a protractor
Angles - Using a protractor to measure angles
Angles - Identifying the degree as a unit of measuring angle
Angles - Measuring angles in degrees

By the end of the lesson, the learner should be able to:
How do we read a protractor?

By the end of the lesson, the learner should be able to:
- Read a protractor as a tool for measuring angles
- Appreciate the use of a protractor in measuring angles

In groups and individually, learners are guided to: - Identify the parts of a protractor (base line, center point, inner scale, outer scale) - Learn how to position a protractor correctly for measuring angles - Practice reading measurements from a protractor - Discuss the importance of a protractor in measuring angles

- Mentor Mathematics learners book grade 5 page 196
- Protractors
- Charts showing parts of a protractor
- Digital devices
- Diagrams with angles
- Mentor Mathematics learners book grade 5 page 197-198
- Rulers
- Mentor Mathematics learners book grade 5 page 199
- Paper cut-outs of angles
- Charts showing different angles
- Mentor Mathematics learners book grade 5 page 200-201
- Objects with angles

- Oral questions - Written exercises - Observation - Practical assessment

GEOMETRY

Angles - Uses of angles in the environment
3-D Objects - Describing 3-D objects in the environment (1)

By the end of the lesson, the learner should be able to:
Where are angles used in the environment?

By the end of the lesson, the learner should be able to:
- Identify the use of angles in the environment
- Appreciate the use of angles in our day-to-day life

In groups and individually, learners are guided to: - Discuss the use of angles in the environment - Identify angles in various objects in the environment - Relate angles to real-life applications (construction, art, sports, etc.) - Use digital devices to learn more about angles

- Mentor Mathematics learners book grade 5 page 202-203
- Objects with angles
- Pictures showing angles in real life
- Digital devices
- Protractors
- Mentor Mathematics learners book grade 5 page 204
- 3-D objects (cubes, cuboids)
- Videos
- Charts with 3-D objects

- Oral questions - Written exercises - Observation - Project

GEOMETRY

3-D Objects - Describing 3-D objects in the environment (2)
3-D Objects - Describing 3-D objects in the environment (3)

By the end of the lesson, the learner should be able to:
What are the properties of different 3-D objects?

By the end of the lesson, the learner should be able to:
- Describe properties of different 3-D objects
- Differentiate between various 3-D objects
- Appreciate the use of 3-D objects in the environment

In groups and individually, learners are guided to: - Describe the properties of cylinders and spheres - Compare different 3-D objects based on their properties - Identify examples of cylinders and spheres in real life - Use digital devices to learn more about 3-D objects

- Mentor Mathematics learners book grade 5 page 205
- 3-D objects (cylinders, spheres)
- Digital devices
- Videos
- Charts with 3-D objects
- Mentor Mathematics learners book grade 5 page 206
- 3-D objects (pyramids, other shapes)

- Oral questions - Written exercises - Observation - Project

GEOMETRY

3-D Objects - Describing 2-D shapes in 3-D objects (1)
3-D Objects - Describing 2-D shapes in 3-D objects (2)
3-D Objects - Describing 2-D shapes in 3-D objects (3)

By the end of the lesson, the learner should be able to:
What 2-D shapes can we find in 3-D objects?

By the end of the lesson, the learner should be able to:
- Describe 2-D shapes in 3-D objects in the environment
- Identify 2-D shapes in cubes and cuboids
- Appreciate the relationship between 2-D shapes and 3-D objects

In groups and individually, learners are guided to: - Describe 2-D shapes found in 3-D objects - Identify squares and rectangles in cubes and cuboids - Draw the 2-D shapes found in cubes and cuboids - Share their findings with other groups

- Mentor Mathematics learners book grade 5 page 207
- 3-D objects (cubes, cuboids)
- 2-D shape cut-outs
- Drawing materials
- Digital devices
- Mentor Mathematics learners book grade 5 page 208
- 3-D objects (cylinders, spheres)
- Mentor Mathematics learners book grade 5 page 209-210
- 3-D objects (pyramids, other shapes)
- Paper for making nets
- Scissors
- Glue

- Oral questions - Written exercises - Observation - Project

DATA HANDLING

Data collection
Drawing tables to record data
Drawing tally marks of collected data
Preparing frequency tables
Interpreting data from frequency tables
Interpreting data from frequency tables
Interpreting data from frequency tables

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

- Collect data of about 30 items relating to real experiences
- Identify suitable techniques for collecting data from the environment
- Appreciate the importance of data collection in daily life

The learner is guided to:
- Discuss in groups the meaning of data collection
- Collect data involving day-to-day experiences such as marks, shoe sizes, and ages of learners in class
- Share their collected data with other learners
- Identify methods used to collect data
- Play digital games involving data collection

Why do we collect data?

- Mentor Mathematics Learner's Book Grade 5 page 211
- Data collection forms
- Digital devices
- Number cards
- Mentor Mathematics Learner's Book Grade 5 page 212
- Manila papers/charts
- Mentor Mathematics Learner's Book Grade 5 page 213
- Small sticks
- Data sheets
- Mentor Mathematics Learner's Book Grade 5 page 214
- Mentor Mathematics Learner's Book Grade 5 page 216
- Frequency tables
- Charts with frequency tables
- Mentor Mathematics Learner's Book Grade 5 page 218

- Observation - Oral questions - Written exercise - Group discussion