NUMBERS

Whole Numbers – Highest Common Factor (HCF) and Greatest Common Divisor (GCD)

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

- Use number charts to identify factors and divisors of given numbers.
- Identify common factors and divisors of numbers.
- Appreciate using HCF and GCD in real life.

The learner is guided to:
- Use number charts to identify factors and divisors of given numbers.
- Discuss and identify the common factors and divisors and share with others.
- Determine the highest or greatest common factor or divisor.
- Apply HCF and GCD in real-life situations.

Where is HCF and GCD applied in real life?

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

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

NUMBERS

Whole Numbers – Highest Common Factor (HCF) and Greatest Common Divisor (GCD)

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

- Determine HCF and GCD of given numbers.
- Apply HCF and GCD in different situations.
- Appreciate using HCF and GCD in real life.

The learner is guided to:
- Find HCF and GCD of different sets of numbers.
- Solve problems involving HCF and GCD.
- Discuss and share their work with other groups.
- Apply HCF and GCD in real-life contexts.

How is HCF and GCD helpful in everyday situations?

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

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

NUMBERS

Whole Numbers – Highest Common Factor (HCF) and Greatest Common Divisor (GCD)

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

- Determine HCF and GCD of given numbers.
- Apply HCF and GCD in different situations.
- Appreciate using HCF and GCD in real life.

The learner is guided to:
- Find HCF and GCD of different sets of numbers.
- Solve problems involving HCF and GCD.
- Discuss and share their work with other groups.
- Apply HCF and GCD in real-life contexts.

How is HCF and GCD helpful in everyday situations?

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

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

NUMBERS

Whole Numbers – Least Common Multiple (LCM)

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

- Identify multiples of given numbers.
- Determine common multiples of numbers.
- Identify the Least Common Multiple (LCM) of numbers.

The learner is guided to:
- Discuss and identify multiples of given numbers.
- Identify the common multiples of numbers.
- Determine the least common multiple.
- Use games to practice finding LCM.

Where is LCM used in real life?

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

- 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:

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

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

Where is division used in real life?

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

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

NUMBERS

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

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

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 – 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

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.

- 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:

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

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

Why do we need to rename fractions before adding?

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

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

NUMBERS

Fractions – Adding fractions with one renaming

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

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

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

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

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

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

NUMBERS

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

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

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

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.

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

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)

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

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

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

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

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

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:
- 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

- 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)

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

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

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

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

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Volume - The cubic centimetre (cm³) as a unit of measuring volume

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

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

- 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 - 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:
- 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

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Volume - Deriving the formula for volume of cube

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

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Time - Addition of minutes and seconds with conversion

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

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

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

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Time - Subtraction of minutes and seconds with conversion

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

- Oral questions - Written exercises - Assessment rubrics