NUMBERS

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

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

- Add up to two 6-digit numbers with double regrouping.
- Solve problems involving addition with regrouping.
- Apply addition skills in real-life contexts.

The learner is guided to:
- Practice addition of up to two 6-digit numbers with double regrouping.
- Create and solve real-life problems involving addition with regrouping.
- Discuss strategies for addition with regrouping.
- Share their work with other groups.

Where do we use addition with regrouping in real life?

- Mentor Mathematics Learner's Book Grade 5 page 35.
- Place value apparatus.
- Abacus.
- Number cards.
- Real-life addition problems.
- Mentor Mathematics Learner's Book Grade 5 page 36.
- Number line.
- Chart showing rounding off examples.
- Real-life problems for estimation.

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

NUMBERS

Addition – Creating patterns involving addition
Subtraction – Subtraction of up to 6-digit numbers without regrouping

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

- Create patterns involving addition of numbers up to a sum of 1,000,000.
- Identify and extend number patterns involving addition.
- Appreciate patterns in mathematics.

The learner is guided to:
- Create patterns involving addition of numbers up to a sum of 1,000,000 using number cards and other resources.
- Identify rules in addition patterns.
- Extend given addition patterns.
- Create their own addition patterns and share with classmates.

How can you create patterns in addition?

- Mentor Mathematics Learner's Book Grade 5 page 38.
- Number cards.
- Chart showing number patterns.
- Digital devices (optional).
- Pattern worksheets.
- Mentor Mathematics Learner's Book Grade 5 page 40.
- Place value apparatus.
- Abacus.
- Chart with subtraction examples.

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

NUMBERS

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

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

- Subtract up to 6-digit numbers with regrouping.
- Use place value apparatus for subtraction with regrouping.
- Appreciate subtraction in real life situations.

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

How does subtraction with regrouping help us solve real-life problems?

- Mentor Mathematics Learner's Book Grade 5 page 42.
- Place value apparatus.
- Abacus.
- Number cards.
- Chart with subtraction examples.

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

NUMBERS

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

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

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

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

Where do we use subtraction with regrouping in real life?

- Mentor Mathematics Learner's Book Grade 5 page 43.
- Place value apparatus.
- Abacus.
- Number cards.
- Games involving subtraction.
- Mentor Mathematics Learner's Book Grade 5 page 45.
- Number line.
- Chart showing rounding off examples.
- Real-life problems for estimation.

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

NUMBERS

Subtraction – Combined operations (addition and subtraction)
Subtraction – Creating patterns involving subtraction

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

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

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

Where do we use combined operations in real life?

- Mentor Mathematics Learner's Book Grade 5 page 47.
- Number wheel.
- Number cards.
- Chart showing combined operations.
- Real-life problems.
- Mentor Mathematics Learner's Book Grade 5 page 48.
- Chart showing number patterns.
- Digital devices (optional).
- Pattern worksheets.

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

NUMBERS

Multiplication – Multiply up to a 3-digit number by up to a 2-digit number

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

- Multiply up to a 3-digit number by up to a 2-digit number.
- Apply multiplication skills in real life situations.
- Appreciate the use of multiplication in real life.

The learner is guided to:
- Work out multiplication of up to a 3-digit number by up to a 2-digit number using different methods.
- Practice multiplication using multiplication tables.
- Create and solve multiplication problems.
- Discuss real-life applications of multiplication.

Where is multiplication used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 50.
- Multiplication tables.
- Number cards.
- Chart with multiplication examples.
- Real-life problems.
- Mentor Mathematics Learner's Book Grade 5 page 51.
- Games involving multiplication.
- Real-life multiplication problems.

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

NUMBERS

Multiplication – Multiply up to a 3-digit number by up to a 2-digit number

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

- Multiply up to a 3-digit number by up to a 2-digit number using different methods.
- Compare different methods of multiplication.
- Apply multiplication in real-life contexts.

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

What are some efficient methods for multiplication?

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

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

NUMBERS

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

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

- Estimate product by rounding off numbers to the nearest ten.
- Apply estimation in real life situations.
- Appreciate the importance of estimation in daily life.

The learner is guided to:
- Estimate products by rounding off factors to the nearest ten.
- Use compatibility of numbers for estimation.
- Develop their own strategies for estimation.
- Compare estimated products with actual products.
- Discuss situations where estimation is useful.

How can we estimate products in real life?

- Mentor Mathematics Learner's Book Grade 5 page 53.
- Number line.
- Number cards.
- Chart showing estimation examples.
- Real-life problems.
- Mentor Mathematics Learner's Book Grade 5 page 55.
- Multiplication tables.
- Chart showing number patterns.
- Pattern worksheets.

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

NUMBERS

Multiplication – Making patterns involving multiplication
Division – Divide up to a 3-digit number by up to a 2-digit number

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

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

The learner is guided to:
- Create more complex patterns involving multiplication.
- Identify and articulate the rules in multiplication patterns.
- Use pattern recognition to predict subsequent terms.
- Apply pattern recognition in problem solving.

How does recognizing patterns help in mathematics?

- Mentor Mathematics Learner's Book Grade 5 page 57.
- Number cards.
- Multiplication tables.
- Chart showing complex patterns.
- Digital devices (optional).
- Mentor Mathematics Learner's Book Grade 5 page 60.
- Chart with division examples.
- Counters for sharing activities.

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

NUMBERS

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

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

- Apply division of 3-digit by 2-digit numbers in problem solving.
- Develop strategies for division.
- Show genuine interest in division.

The learner is guided to:
- Practice more examples of division of 3-digit by 2-digit numbers.
- Create and solve real-life problems involving division.
- Develop and share strategies for division.
- Create number games and puzzles involving division.

How can division help us solve real-life problems?

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

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

NUMBERS

Division – Relationship between multiplication and division
Division – Estimating quotients by rounding off

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

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

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

How can we use the relationship between multiplication and division?

- Mentor Mathematics Learner's Book Grade 5 page 63.
- Flash cards with related multiplication and division facts.
- Number cards.
- Chart showing the relationship.
- Games involving related facts.
- Mentor Mathematics Learner's Book Grade 5 page 65.
- Number line.
- Chart showing estimation examples.
- Real-life problems.

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

NUMBERS

Division – Combined operations

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

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

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

NUMBERS

Fractions – Simplifying fractions

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

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

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

Why do we simplify fractions?

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

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

NUMBERS

Fractions – Comparing fractions
Fractions – Ordering fractions

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

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

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

Why do we compare fractions in real life?

- Mentor Mathematics Learner's Book Grade 5 page 75.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Comparison symbol cards.
- Mentor Mathematics Learner's Book Grade 5 page 77.
- Fraction number line.
- Real objects for demonstration.

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

NUMBERS

Fractions – Adding fractions with same denominator
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.
- Mentor Mathematics Learner's Book Grade 5 page 85.
- Games involving fractions.
- Real-life fraction problems.

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

NUMBERS

Fractions – Subtracting fractions with one renaming

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

- 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
Decimals – Ordering decimals up to thousandths

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

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

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

What is the importance of understanding place value in decimals?

- Mentor Mathematics Learner's Book Grade 5 page 92.
- Decimal place value chart.
- Number cards with decimals.
- Digital devices (optional).
- Real-life examples with decimals.
- Mentor Mathematics Learner's Book Grade 5 page 93.
- Decimal number line.
- Comparison symbol cards.
- Real-life data with decimals.

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

NUMBERS

Decimals – Ordering decimals up to thousandths

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.

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

NUMBERS

Decimals – Adding decimals up to thousandths
Decimals – Subtracting decimals up to thousandths

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

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

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

How do we add decimals in real life?

- Mentor Mathematics Learner's Book Grade 5 page 96.
- Place value apparatus.
- Decimal place value chart.
- Number cards with decimals.
- Real-life problems with decimals.
- Mentor Mathematics Learner's Book Grade 5 page 98.

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

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).
- Mentor Mathematics Learner's Book Grade 5 page 102.
- Word problem cards.
- Real-life scenarios.

- Observation. - Oral questions. - Written exercises. - Group work 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 addition.
- 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 addition.
- 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 help us solve real-life problems?

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

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

NUMBERS

Simple Equations – Solving simple equations with one unknown

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

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

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

How can solving equations help us in daily life?

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

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

NUMBERS
MEASUREMENT
MEASUREMENT

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)
Length - Converting kilometres to metres and vice versa (1)

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

- Oral questions - Observation - Written exercises

MEASUREMENT

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

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

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

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

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Length - Multiplication of metres and kilometres by whole numbers

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

- 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:
How do we use division of length in real life?

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

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

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Area - The square centimetre (cm²) as a unit of measuring area (1)
Area - The square centimetre (cm²) as a unit of measuring area (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:
- 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
- Mentor Mathematics learners book grade 5 page 125-126
- 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:
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 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

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

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

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

- 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:
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

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

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

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

By the end of the lesson, the learner should be able to:
- Derive the formula for the volume of cube as V = s × s × s practically
- Apply the formula to calculate volumes

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

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

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

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

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

By the end of the lesson, the learner should be able to:
- Identify the millilitre as a unit of measuring capacity in real life
- Appreciate use of millilitres in real life

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

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

- Oral questions - Written exercises - Observation

MEASUREMENT

Capacity - 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)
Capacity - Estimating and measuring capacity in multiples of 5 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:
- 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 - Relationship between litres and millilitres
Capacity - Converting litres to millilitres and vice versa (1)

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

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

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

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

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

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

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

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

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

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Capacity - Subtraction of litres and millilitres

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

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

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

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

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

By the end of the lesson, the learner should be able to:
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
- Mentor Mathematics learners book grade 5 page 152-153

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

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

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

By the end of the lesson, the learner should be able to:
- Identify the gram as a unit of measuring mass in real life
- Appreciate the use of grams in measuring mass in real life

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

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

- Oral questions - Written exercises - Observation

MEASUREMENT

Mass - Measuring mass in grams (2)

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

By the end of the lesson, the learner should be able to:
- Measure mass in grams accurately
- Record and compare measurements
- Appreciate measuring mass in grams in real life

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

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

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

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

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

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

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

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

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

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

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

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

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

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

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

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

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

- 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:
How do we apply addition of mass in real life?

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

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

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

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

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

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

- Mentor Mathematics learners book grade 5 page 167-168
- Multiplication tables
- Digital devices
- Mentor Mathematics learners book grade 5 page 169-170

- 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:
How can we read and tell time?

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

- 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:
How can we read and tell time?

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

- 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)
Time - Addition of minutes and seconds with conversion

By the end of the lesson, the learner should be able to:
How can we read and tell time?

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

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

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

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

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

By the end of the lesson, the learner should be able to:
- Subtract minutes and seconds with conversion in real life situations
- Solve problems involving subtraction of minutes and seconds

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

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

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

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

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

- Oral questions - Written exercises - Assessment rubrics