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

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

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

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

Where are fractions used in real life?

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

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

NUMBERS

Fractions – Adding fractions with same denominator

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

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

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

How do we add fractions in real life?

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

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

NUMBERS

Fractions – 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

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

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

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

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

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

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

NUMBERS

Fractions – Subtracting fractions with one renaming

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

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

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

Why do we need to rename fractions before subtracting?

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

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

NUMBERS

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

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

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

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

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

- Mentor Mathematics Learner's Book Grade 5 page 87.
- Fraction board.
- Fraction chart.
- Games involving fractions.
- Real-life fraction problems.
- Mentor Mathematics Learner's Book Grade 5 page 91.
- Decimal place value chart.
- Number cards with decimals.
- Real-life examples with decimals.

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

NUMBERS

Decimals – Place value of decimals up to thousandths

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)
Length - Relationship between kilometre and metre (2)

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

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

- 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
- Mentor Mathematics learners book grade 5 page 113
- Digital devices

- Oral questions - Observation - Written exercises

MEASUREMENT

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:
How do you measure distance?

By the end of the lesson, the learner should be able to:
- Convert kilometres to metres in real life situations
- Appreciate the use of conversion in real life

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

- Mentor Mathematics learners book grade 5 page 113-114
- Conversion charts
- Digital devices
- Mentor Mathematics learners book grade 5 page 115

- Oral questions - Written exercises - Assessment rubrics

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:
Where is addition of length used in real life?

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

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

By the end of the lesson, the learner should be able to:
How do we use multiplication of length in real life?

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

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Length - Division of metres and kilometres by whole numbers (2)

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 with remainders
- Solve complex problems involving division of metres and kilometres

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

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

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

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

- 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)
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)

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

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

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

- 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)
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)

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

- 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:
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 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

- 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
Volume - Deriving the formula for volume of cube

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:
- 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

- Mentor Mathematics learners book grade 5 page 136
- Cuboid models
- Digital devices
- Measuring tools
- Mentor Mathematics learners book grade 5 page 137
- 1 cm cubes
- Videos
- Cube models

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

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:
- 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

- Mentor Mathematics learners book grade 5 page 138-139
- Cube models
- Digital devices
- 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 - Measuring capacity in millilitres (2)

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:
- 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

- 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)

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:
- 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

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

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

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

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

By the end of the lesson, the learner should be able to:
- Measure capacity in multiples of 5 millilitres in different situations
- Compare estimated and actual measurements
- Appreciate the importance of accurate measurement

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

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

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

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

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 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

- 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)

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

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

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

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

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

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Capacity - Multiplication of litres and millilitres by whole numbers

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

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

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT
GEOMETRY

Capacity - Division of litres and millilitres by whole numbers
Lines - Identifying and drawing horizontal and vertical lines

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 188-189
- Rulers
- Straight edges
- Chalk board ruler
- Charts with examples of lines

- Oral questions - Written exercises - Assessment rubrics

GEOMETRY

Lines - Identifying and drawing perpendicular lines
Lines - Identifying and drawing parallel lines
Lines - Uses of various types of lines in real life

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

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

In groups and individually, learners are guided to: - Identify perpendicular lines in the classroom and within the environment - Describe perpendicular lines as lines that meet at right angles (90°) - Draw perpendicular lines using set squares, rulers and other straight edges - Discuss real-life examples of perpendicular lines

- Mentor Mathematics learners book grade 5 page 190-191
- Rulers
- Set squares
- Straight edges
- Chalk board ruler
- Digital devices
- 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

- Oral questions - Written exercises - Observation - Project

GEOMETRY

Angles - Relating a turn to angles
Angles - Reading a protractor
Angles - Using a protractor to measure angles

By the end of the lesson, the learner should be able to:
What is the relationship between turns and angles?

By the end of the lesson, the learner should be able to:
- Relate a turn to angles in real life
- Appreciate the relationship between turns and angles

In groups and individually, learners are guided to: - Make clockwise, quarter and half turns, and relate them to angles in the environment - Relate the amount of turn to the size of an angle - Demonstrate different turns and identify the corresponding angle - Discuss examples of turns in real life and their angles

- Mentor Mathematics learners book grade 5 page 195
- Objects that rotate (e.g., door, bottle cap)
- Paper cut-outs for demonstrating turns
- Digital devices
- Pictures showing different turns
- Mentor Mathematics learners book grade 5 page 196
- Protractors
- Charts showing parts of a protractor
- Diagrams with angles
- Mentor Mathematics learners book grade 5 page 197-198
- Rulers

- Oral questions - Written exercises - Observation - Demonstration

GEOMETRY

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:
What is the unit for measuring angles?

By the end of the lesson, the learner should be able to:
- Identify the degree as a unit of measuring angle
- Appreciate the use of degrees as units for measuring angles

In groups and individually, learners are guided to: - Make a unit angle and use it to measure angles in the environment - Divide a 10° angle into 10 equal parts and identify each part as equal to 1 degree - Learn that a full turn is 360 degrees - Identify common angles (90°, 180°, 270°, 360°)

- Mentor Mathematics learners book grade 5 page 199
- Protractors
- Paper cut-outs of angles
- Digital devices
- Charts showing different angles
- Mentor Mathematics learners book grade 5 page 200-201
- Diagrams with angles
- Objects with angles

- Oral questions - Written exercises - Observation - Practical assessment

GEOMETRY

Angles - Uses of angles in the environment

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

- Oral questions - Written exercises - Observation - Project

GEOMETRY

3-D Objects - Describing 3-D objects in the environment (1)
3-D Objects - Describing 3-D objects in the environment (2)

By the end of the lesson, the learner should be able to:
Where are 3-D objects used in the environment?

By the end of the lesson, the learner should be able to:
- Describe 3-D objects in the environment
- Identify various 3-D objects in real life
- Appreciate the use of 3-D objects in the environment

In groups and individually, learners are guided to: - Identify, collect objects and discuss cubes, cuboids, cylinders, spheres and pyramids as 3-D objects in the environment - Describe the properties of cubes and cuboids - Share findings with other groups - Watch a video on 3-D objects

- Mentor Mathematics learners book grade 5 page 204
- 3-D objects (cubes, cuboids)
- Digital devices
- Videos
- Charts with 3-D objects
- Mentor Mathematics learners book grade 5 page 205
- 3-D objects (cylinders, spheres)

- Oral questions - Written exercises - Observation - Project

GEOMETRY

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

By the end of the lesson, the learner should be able to:
How do we classify 3-D objects?

By the end of the lesson, the learner should be able to:
- Describe properties of pyramids and other 3-D objects
- Classify 3-D objects based on their properties
- Appreciate the use of 3-D objects in the environment

In groups and individually, learners are guided to: - Describe the properties of pyramids and other 3-D objects - Classify 3-D objects based on their properties (faces, edges, vertices) - Identify examples of pyramids in real life - Use digital devices to draw and learn more about 3-D objects

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

- Oral questions - Written exercises - Observation - Project

GEOMETRY

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

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

- Oral questions - Written exercises - Observation - Project

GEOMETRY

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:
How do 2-D shapes form 3-D objects?

By the end of the lesson, the learner should be able to:
- Describe 2-D shapes in cylinders and spheres
- Identify 2-D shapes in cylinders and spheres
- 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 cylinders and spheres - Identify circles and rectangles in cylinders - Draw the 2-D shapes found in cylinders and spheres - Share their findings with other groups

- Mentor Mathematics learners book grade 5 page 208
- 3-D objects (cylinders, spheres)
- 2-D shape cut-outs
- Drawing materials
- Digital devices
- 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

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

- Observation - Oral questions - Written exercise - Group discussion

DATA HANDLING

Drawing tally marks of collected data
Preparing frequency tables
Interpreting data from frequency tables

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

- Draw tally marks to represent collected data
- Interpret information represented using tally marks
- Appreciate the use of tally marks in representing data

The learner is guided to:
- Use sticks to represent tally marks for collected data
- Draw tally marks for different data sets
- Count the number of sticks representing each item
- Interpret information represented by tally marks
- Use digital devices and other resources to learn more about tally marks

How do we use tally marks to represent data?

- Mentor Mathematics Learner's Book Grade 5 page 213
- Small sticks
- Data sheets
- Digital devices
- Mentor Mathematics Learner's Book Grade 5 page 214
- Mentor Mathematics Learner's Book Grade 5 page 216
- Frequency tables
- Charts with frequency tables

- Observation - Oral questions - Written exercise - Project

DATA HANDLING

Interpreting data from frequency tables

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

- Solve problems using data presented in frequency tables
- Make decisions based on information from frequency tables
- Appreciate the use of frequency tables in real-life situations

The learner is guided to:
- Discuss comparing data from frequency tables
- Solve problems using information from frequency tables
- Present findings from frequency tables to the class
- Use digital devices to represent and interpret frequency tables
- Play games involving data interpretation from frequency tables

How can we use information from frequency tables to solve problems?

- Mentor Mathematics Learner's Book Grade 5 page 218
- Frequency tables
- Charts with frequency tables
- Digital devices

- Observation - Oral questions - Written exercise - Assessment rubrics