NUMBERS

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

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

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

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

Where is division used in real life?

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

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

NUMBERS

Division – Divide up to a 3-digit number by up to a 2-digit number
Division – Relationship between multiplication and division

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

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

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

The learner is guided to:
- Estimate quotients by rounding off the dividend and divisor to the nearest ten.
- Compare estimated quotients with actual quotients.
- Discuss situations where estimation is practical.
- Practice estimation in real-life contexts.

How can we estimate quotients?

- Mentor Mathematics Learner's Book Grade 5 page 65.
- Number line.
- Number cards.
- Chart showing estimation examples.
- Real-life problems.

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

NUMBERS

Division – Combined operations

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

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

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

How do we solve problems with combined operations?

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

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

NUMBERS

Division – Combined operations
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

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

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

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

Why do we compare fractions in real life?

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

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

NUMBERS

Fractions – Ordering fractions

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

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

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

Where are fractions used in real life?

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

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

NUMBERS

Fractions – Adding fractions with same denominator
Fractions – Subtracting 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.
- Mentor Mathematics Learner's Book Grade 5 page 81.

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

NUMBERS

Fractions – Adding fractions with one renaming

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

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

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

Why do we need to rename fractions before adding?

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

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

NUMBERS

Fractions – Adding fractions with one renaming

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

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

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

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

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

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

NUMBERS

Fractions – Subtracting fractions with one renaming

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

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

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

Why do we need to rename fractions before subtracting?

- Mentor Mathematics Learner's Book Grade 5 page 86.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Number line.
- Mentor Mathematics Learner's Book Grade 5 page 87.
- Games involving fractions.
- Real-life fraction problems.

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

NUMBERS

Decimals – Place value of decimals up to thousandths

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

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

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

Where do you use decimals in real life?

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

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

NUMBERS

Decimals – Place value of decimals up to thousandths

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

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

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

What is the importance of understanding place value in decimals?

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

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

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.

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

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

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.

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

NUMBERS

Simple Equations – Forming simple equations with one unknown

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

- Define simple equations.
- Form simple equations with one unknown from real-life situations.
- Appreciate the use of equations in real life.

The learner is guided to:
- Discuss and form equations with one unknown from daily experiences.
- Represent real-life problems using simple equations.
- Create their own equations with one unknown.
- Share their equations with classmates.

Where are equations used in real life?

- 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 work 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).

- 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 multiplication and division.
- 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 multiplication and division.
- Check their answers by substituting back into the original equation.
- Create and solve problems involving simple equations.
- Discuss real-life applications of equations.

How do equations with multiplication and division relate to real life?

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

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

NUMBERS
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)

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

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

MEASUREMENT

Length - Estimating distance in kilometres (2)
Length - Relationship between kilometre and metre (1)

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

- Estimate distance in kilometres in real life situations
- Measure estimated distances and compare with actual measurements
- Appreciate the use of estimation in real life

In groups and individually, learners are guided to:
- Measure distance estimated and compare findings with others
- Estimate the distance between various places using maps
- Discuss practical situations where estimation of distance is useful

Why do you measure distance?

- Mentor Mathematics learners book grade 5 page 111
- Measuring tapes
- Maps
- Ropes
- Mentor Mathematics learners book grade 5 page 112
- 1 metre ruler
- Metre sticks
- Tape measure

- Oral questions - Observation - Written exercises

MEASUREMENT

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)

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

- Apply the relationship between the kilometre (km) and the metre (m) in different situations
- Appreciate the relationship that 1 km = 1000 m

In groups and individually, learners are guided to:
- Discuss the relationship between km and m (1 km = 1,000 m)
- Calculate equivalent measurements using the relationship
- Use digital devices to learn more about the relationship between km and m

How do you measure distance?

- Mentor Mathematics learners book grade 5 page 113
- 1 metre ruler
- Metre sticks
- Tape measure
- Digital devices
- Mentor Mathematics learners book grade 5 page 113-114
- Conversion charts
- Mentor Mathematics learners book grade 5 page 115

- Oral questions - Written exercises - Observation

MEASUREMENT

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

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

- Add metres and kilometres in real life situations
- Solve problems involving addition of metres and kilometres

In groups and individually, learners are guided to:
- Add metres and kilometres with regrouping
- Solve real-life problems involving addition of metres and kilometres
- Calculate total distances on maps

Where is addition of length used in real life?

- Mentor Mathematics learners book grade 5 page 116-118
- Maps
- Digital devices
- 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

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

- 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)

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

How do we use division of length in real life?

- Mentor Mathematics learners book grade 5 page 123
- Digital devices
- Mentor Mathematics learners book grade 5 page 124

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Area - The square centimetre (cm²) as a unit of measuring area (1)

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

- Use the square centimetre (cm²) as a unit of measuring area in real life
- Appreciate the use of cm² in real life

In groups and individually, learners are guided to:
- Measure, trace and cut out 1 cm by 1 cm units, and refer the area of each as one square centimetre (1 cm²)
- Cover a given surface using 1-centimetre square cut-outs and count the number of cut-outs to get the area in cm²

How can you determine the area of different surfaces?

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

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Area - The square centimetre (cm²) as a unit of measuring area (2)

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

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

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

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

- Work out area of rectangles in square centimetres (cm²) in different situations
- Establish the formula for area of a rectangle (length × width)

In groups and individually, learners are guided to:
- Establish area of rectangles in cm² as the product of the number of 1 cm² units in the row by the number of units in the column
- Derive the formula: Area of rectangle = Length × Width

How can you determine the area of different surfaces?

- Mentor Mathematics learners book grade 5 page 126-127
- Square cut-outs
- Rulers
- Charts with rectangles
- Mentor Mathematics learners book grade 5 page 127-128
- Rectangular objects

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

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

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

- Work out area of squares in square centimetres (cm²) in different situations
- Establish the formula for area of a square (side × side)

In groups and individually, learners are guided to:
- Establish area of squares in cm² as the product of the side by itself
- Derive the formula: Area of square = side × side
- Discuss the difference between rectangles and squares

How can you determine the area of different surfaces?

- Mentor Mathematics learners book grade 5 page 129-130
- Square cut-outs
- Rulers
- Charts with squares

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

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

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

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Volume - The cubic centimetre (cm³) as a unit of measuring volume
Volume - Deriving the formula for volume of cuboid (1)

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

- Identify the cubic centimetre (cm³) as a unit of measuring volume in different situations
- Appreciate use of cubic centimetres in measuring volume in real life

In groups and individually, learners are guided to:
- Measure the sides of a 1 cm cube and identify it as a unit of measuring volume
- Arrange a number of cubes and count them to determine volume
- Measure the dimensions of a 1 cm cube to establish its volume as 1 cm × 1 cm × 1 cm = 1 cm³

Where is Volume applicable in real life?

- Mentor Mathematics learners book grade 5 page 132-133
- 1 cm cubes
- Digital devices
- Videos
- Mentor Mathematics learners book grade 5 page 134
- Cuboid models

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

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

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

- Derive the formula for the volume of cuboid as V = l × w × h practically
- Apply the formula to calculate volumes

In groups and individually, learners are guided to:
- Establish that the total number of cubes represents the volume of the cuboid formed
- Count the number of cubes along length, width, and height to derive the formula V = l × w × h
- Verify the formula with different cuboid arrangements

Where is Volume applicable in real life?

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

- 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

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

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Volume - Working out volume of cubes in cubic centimetres
Capacity - Identifying the millilitre as a unit of measuring capacity

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

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

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

Where is Volume applicable in real life?

- Mentor Mathematics learners book grade 5 page 138-139
- Cube models
- Digital devices
- Measuring tools
- Mentor Mathematics learners book grade 5 page 139-140
- Teaspoons
- Graduated cylinders
- Water
- Various containers

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Capacity - Measuring capacity in millilitres (1)

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

- Measure capacity in millilitres in real life situations
- Appreciate use of millilitres in measuring capacity in real life

In groups and individually, learners are guided to:
- Fill small containers with water and measure the capacity in millilitres using a container graduated in millilitres
- Compare capacities of different small containers

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

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

- Oral questions - Written exercises - Observation

MEASUREMENT

Capacity - Measuring capacity in millilitres (2)

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

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

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

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

- Estimate capacity in multiples of 5 millilitres in different situations
- Appreciate estimating capacity in real life

In groups and individually, learners are guided to:
- Estimate the capacity of different containers in multiples of 5 millilitres
- Discuss strategies for estimating capacity
- Compare their estimates with each other

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

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Capacity - Relationship between litres and millilitres

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

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

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

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

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

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

- Oral questions - Written exercises - Assessment rubrics

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:

- 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

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

- 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

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

How do we apply subtraction of capacity in real life?

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Capacity - Multiplication 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

- 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

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

How do we apply division of capacity in real life?

- 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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Mass - Measuring mass in grams (1)

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

- Measure mass in grams in different situations
- Appreciate measuring mass in grams in real life

In groups and individually, learners are guided to:
- Use an electronic or a manual weighing machine to measure mass of sand or soil in grams
- Measure the mass of different small objects in grams

What is the importance of measuring mass?

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

- Oral questions - Written exercises - Observation - Practical assessment

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)

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

- 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:

- 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

What is the importance of measuring mass?

- 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)

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

What is the importance of measuring mass?

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

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

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Mass - Addition of grams and kilograms
Mass - Subtraction of grams and kilograms

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

How do we apply addition of mass in real life?

- Mentor Mathematics learners book grade 5 page 163-164
- Digital devices
- Mentor Mathematics learners book grade 5 page 165-166

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Mass - Multiplication of grams and kilograms by whole numbers

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

- Multiply grams and kilograms by whole numbers in real life situations
- Solve problems involving multiplication of grams and kilograms

In groups and individually, learners are guided to:
- Multiply grams and kilograms by whole numbers
- Solve real-life problems involving multiplication of grams and kilograms
- Calculate total mass of multiple items

How do we apply multiplication of mass in real life?

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Mass - Division of grams and kilograms by whole numbers

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Time - Identifying the second as a unit of measuring time
Time - Relationship between minute and second

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

- Identify the second as a unit of measuring time through second hand
- Appreciate use of seconds as units of measuring time in real life

In groups and individually, learners are guided to:
- Discuss and identify second hand from a clock
- Carry out activities taking 10 seconds; let learners relate the activities to what can be done in one-tenth of the time taken to do the activity; the time taken is 1 second
- Measure time taken to do various activities in seconds

How can we read and tell time?

- Mentor Mathematics learners book grade 5 page 171
- Analogue clocks
- Digital clocks
- Stopwatches
- Digital devices
- Mentor Mathematics learners book grade 5 page 172

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Time - Converting minutes to seconds and vice versa (1)

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

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

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

How can we read and tell time?

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Time - Converting minutes to seconds and vice versa (2)

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Time - Addition of minutes and seconds with conversion
Time - Subtraction of minutes and seconds with conversion

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

- Add minutes and seconds with conversion in real life situations
- Solve problems involving addition of minutes and seconds

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

How can we apply addition of time in real life?

- Mentor Mathematics learners book grade 5 page 175-176
- Digital devices
- Clocks
- Stopwatches
- Mentor Mathematics learners book grade 5 page 177-178

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Time - Multiplication of minutes and seconds by whole numbers

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

- Multiply minutes and seconds by whole numbers in real life situations
- Solve problems involving multiplication of minutes and seconds

In groups and individually, learners are guided to:
- Multiply minutes and seconds by whole numbers
- Solve real-life problems involving multiplication of minutes and seconds
- Calculate total time for repeated activities

How can we apply multiplication of time in real life?

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Time - Division of minutes and seconds by whole numbers

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

- Divide minutes and seconds by whole numbers in real life situations
- Solve problems involving division of minutes and seconds

In groups and individually, learners are guided to:
- Divide minutes and seconds by whole numbers
- Solve real-life problems involving division of minutes and seconds
- Calculate time taken for sharing activities equally

How can we apply division of time in real life?

- Mentor Mathematics learners book grade 5 page 179
- Digital devices
- Clocks
- Stopwatches

- Oral questions - Written exercises - Assessment rubrics