NUMBERS

Whole Numbers – Place value and total value of digits up to hundreds of thousands

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

- Identify place value of digits up to hundreds of thousands using place value apparatus.
- Apply place value of digits up to hundreds of thousands in real life.

The learner is guided to:
- Identify place value of digits up to hundreds of thousands using place value apparatus.
- Fill in place value charts correctly to indicate place value of different digits.
- Participate in group discussion to understand the application of place value in real life.

Where is place value used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 1.
- Place value apparatus.
- Number charts.
- Number cards.
- Place value charts.

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

NUMBERS

Whole Numbers – Place value and total value of digits up to hundreds of thousands
Whole Numbers – Numbers up to hundreds of thousands in symbols

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

- Identify total value of digits up to hundreds of thousands.
- Calculate total value of different digits in a number.
- Apply total value of digits in real life situations.

The learner is guided to:
- Identify total value of digits in relation to their place value.
- Make number cards and cut every digit from the number cards.
- Stick each digit on a place value chart.
- Find the total value of each digit in relation to its place value.
- Share their work with other groups.

Why is total value of digits important in real life?

- Mentor Mathematics Learner's Book Grade 5 page 4.
- Number cards.
- Place value charts.
- Scissors.
- Adhesive materials.
- Mentor Mathematics Learner's Book Grade 5 page 5.
- Place value apparatus.
- Digital devices (optional).
- Mentor Mathematics Learner's Book Grade 5 page 6.
- Number charts.
- Flash cards with large numbers.

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

NUMBERS

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

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

- Use numbers up to hundreds of thousands in symbols in different contexts.
- Form numbers with different digits.
- Appreciate use of numbers up to hundreds of thousands in real life.

The learner is guided to:
- Form different numbers using given digits.
- Identify the smallest and largest numbers that can be formed using given digits.
- Create and solve problems involving numbers in symbols.
- Discuss real-life contexts where large numbers are used.

How are large numbers represented and used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 7.
- Number cards.
- Place value charts.
- Real-life examples with large numbers.
- Mentor Mathematics Learner's Book Grade 5 page 8.
- Number charts.
- Flash cards with numbers in words.
- Reference materials.
- Mentor Mathematics Learner's Book Grade 5 page 9.
- Real-life documents with numbers in words.

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

NUMBERS

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

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

- Read, write and relate larger numbers in words.
- Apply reading and writing numbers in words in different contexts.
- Show genuine interest in reading and writing numbers in words.

The learner is guided to:
- Read and write larger numbers in words.
- Create real-life scenarios where numbers in words are used.
- Play games involving converting between numbers in symbols and words.
- Share and discuss their work with classmates.

How does reading and writing numbers in words help in real life?

- Mentor Mathematics Learner's Book Grade 5 page 9.
- Number charts.
- Number cards.
- Games involving numbers in words.
- Real-life documents.
- Mentor Mathematics Learner's Book Grade 5 page 10.
- Charts with numbers.
- Comparing symbols cards.

- Oral reading assessment. - Written exercises. - Group work observation. - Peer assessment.

NUMBERS

Whole Numbers – Ordering numbers up to tens of thousands
Whole Numbers – Rounding off numbers up to tens of thousands to the nearest hundred

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

- Arrange numbers up to tens of thousands in decreasing order.
- Compare numbers up to tens of thousands.
- Apply ordering of numbers in real life situations.

The learner is guided to:
- Arrange numbers up to tens of thousands in decreasing order using number cards.
- Share their arrangements with other groups.
- Discuss real-life scenarios where ordering numbers in decreasing order is applicable.
- Make number cards with heights of different mountains and arrange them from highest to lowest.

Why do we arrange numbers in decreasing order in real life?

- Mentor Mathematics Learner's Book Grade 5 page 12.
- Number cards.
- Charts with numbers.
- Real-life data for ordering activities.
- Mentor Mathematics Learner's Book Grade 5 page 15.
- Number line charts.
- Real-life examples requiring rounding.

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

NUMBERS

Whole Numbers – Rounding off numbers up to tens of thousands to the nearest hundred

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

- Apply rounding off numbers to the nearest hundred in problem solving.
- Create problems involving rounding off to the nearest hundred.
- Show genuine interest in rounding off numbers.

The learner is guided to:
- Solve problems involving rounding off to the nearest hundred.
- Create their own problems requiring rounding off.
- Discuss practical applications of rounding off in everyday life.
- Play games involving rounding off numbers.

How is rounding off numbers to the nearest hundred useful in everyday life?

- Mentor Mathematics Learner's Book Grade 5 page 16.
- Number line charts.
- Number cards.
- Real-life problems requiring rounding.
- Games involving rounding.

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

NUMBERS

Whole Numbers – Rounding off numbers up to tens of thousands to the nearest thousand

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

- Round off numbers up to tens of thousands to the nearest thousand.
- Apply rounding off numbers in different situations.
- Appreciate the use of rounding off numbers in real life.

The learner is guided to:
- Fill in the missing numbers on a number line.
- Identify whether numbers are closer to the previous or next thousand on the number line.
- Round off numbers to the nearest thousand using a number line.
- Share their work with other groups.

How is rounding off numbers to the nearest thousand useful in everyday life?

- Mentor Mathematics Learner's Book Grade 5 page 17.
- Number line charts.
- Number cards.
- Real-life examples requiring rounding.
- Mentor Mathematics Learner's Book Grade 5 page 18.
- Real-life problems requiring rounding.
- Games involving rounding.

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

NUMBERS

Whole Numbers – Divisibility tests of 2, 5 and 10

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

- Apply divisibility tests of 2 in real life.
- Identify numbers divisible by 2 without a remainder.
- Appreciate the use of divisibility tests of 2.

The learner is guided to:
- Use number cards to divide different numbers by 2 and come up with divisibility rules.
- Identify and list numbers divisible by 2.
- Discuss the pattern observed in numbers divisible by 2.
- Apply divisibility test of 2 in solving problems.

Where are divisibility tests used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 19.
- Number cards.
- Chart showing divisibility rules.
- Digital devices (optional).

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

NUMBERS

Whole Numbers – Divisibility tests of 2, 5 and 10

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

- Apply divisibility tests of 5 in real life.
- Identify numbers divisible by 5 without a remainder.
- Appreciate the use of divisibility tests of 5.

The learner is guided to:
- Use number cards to divide different numbers by 5 and come up with divisibility rules.
- Identify and list numbers divisible by 5.
- Discuss the pattern observed in numbers divisible by 5.
- Apply divisibility test of 5 in solving problems.

When do we use divisibility tests in real life?

- Mentor Mathematics Learner's Book Grade 5 page 21.
- Number cards.
- Chart showing divisibility rules.
- Digital devices (optional).
- Mentor Mathematics Learner's Book Grade 5 page 23.

- 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:

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

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

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

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

Where is LCM used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 28.
- Number charts.
- Multiplication tables.
- Digital devices (optional).
- Mentor Mathematics Learner's Book Grade 5 page 32.
- Place value apparatus.
- Abacus.
- Number cards.
- Chart with addition examples.

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

NUMBERS

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

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

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

The learner is guided to:
- Practice addition of up to three 6-digit numbers without regrouping.
- Create and solve real-life problems involving addition.
- Discuss situations where addition of large numbers is applicable.
- Share their strategies for addition with classmates.

How is addition of large numbers useful in real life?

- Mentor Mathematics Learner's Book Grade 5 page 33.
- Place value apparatus.
- Abacus.
- Number cards.
- Real-life addition problems.

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

NUMBERS

Addition – Addition of up to two 6-digit numbers with double regrouping

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

- Add up to two 6-digit numbers with double regrouping up to a sum of 1,000,000.
- Use place value apparatus for addition with regrouping.
- Appreciate using addition in real life situations.

The learner is guided to:
- Work out addition of up to two 6-digit numbers with double regrouping up to 1,000,000 using place value apparatus.
- Practice addition with regrouping using abacus and number cards.
- Solve addition problems involving regrouping.
- Discuss real-life contexts where addition with regrouping is applied.

How is addition with regrouping useful in solving real-life problems?

- Mentor Mathematics Learner's Book Grade 5 page 34.
- Place value apparatus.
- Abacus.
- Number cards.
- Chart with addition examples.
- Mentor Mathematics Learner's Book Grade 5 page 35.
- Real-life addition problems.

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

NUMBERS

Addition – Estimating sum by rounding off

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

- Estimate sum by rounding off the addends to the nearest hundred and thousand.
- Apply estimation in real life situations.
- Appreciate the importance of estimation in daily life.

The learner is guided to:
- Estimate sums by rounding off the addends to the nearest hundred and thousand using a number line.
- Compare estimated sums with actual sums.
- Discuss situations where estimation is more practical than exact calculation.
- Practice estimation in real-life contexts.

Why do we need to estimate sums in real life?

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

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

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)

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.

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

NUMBERS

Subtraction – Creating patterns involving subtraction
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:

- Create patterns involving subtraction from up to 1,000,000.
- Identify and extend number patterns involving subtraction.
- Appreciate patterns in mathematics.

The learner is guided to:
- Create patterns involving subtraction of whole numbers from up to 1,000,000 using number charts.
- Identify rules in subtraction patterns.
- Extend given subtraction patterns.
- Create their own subtraction patterns and share with classmates.

How can you create number patterns involving subtraction?

- Mentor Mathematics Learner's Book Grade 5 page 48.
- Number cards.
- Chart showing number patterns.
- Digital devices (optional).
- Pattern worksheets.
- Mentor Mathematics Learner's Book Grade 5 page 50.
- Multiplication tables.
- Chart with multiplication examples.
- Real-life problems.

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

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:

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

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

How can multiplication help us solve real-life problems?

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

- 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
Multiplication – Estimating product by rounding off

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.
- Mentor Mathematics Learner's Book Grade 5 page 53.
- Number line.
- Number cards.
- Chart showing estimation examples.

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

NUMBERS

Multiplication – Making patterns involving multiplication

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

- Make patterns involving multiplication of numbers with product not exceeding 100.
- Identify and extend multiplication patterns.
- Appreciate patterns in mathematics.

The learner is guided to:
- Create patterns involving multiplication of numbers with products not exceeding 100.
- Identify rules in multiplication patterns.
- Extend given multiplication patterns.
- Create their own multiplication patterns and share with classmates.

How can you form patterns involving multiplication?

- Mentor Mathematics Learner's Book Grade 5 page 55.
- Number cards.
- Multiplication tables.
- Chart showing number patterns.
- Pattern worksheets.

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

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.

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

NUMBERS
MEASUREMENT
MEASUREMENT

Division – Combined operations
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:

- Apply the order of operations in complex problems.
- Create problems involving combined operations.
- Show genuine interest in solving combined operations.

The learner is guided to:
- Solve more complex problems involving combined operations.
- Create their own problems involving combined operations.
- Discuss strategies for solving combined operations.
- Play games involving combined operations.

Why is the order of operations important in mathematics?

- Mentor Mathematics Learner's Book Grade 5 page 69.
- Number wheel.
- Number cards.
- Games involving combined operations.
- Digital devices (optional).
- Mentor Mathematics learners book grade 5 page 109
- Road signs showing distances
- Maps
- Digital devices
- Mentor Mathematics learners book grade 5 page 110
- Measuring tapes
- Ropes

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

MEASUREMENT

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

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

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

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

Why do you measure distance?

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

- Oral questions - Observation - Written exercises

MEASUREMENT

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

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

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

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

How do you measure distance?

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

- Oral questions - Written exercises - Observation

MEASUREMENT

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

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

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

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

Where is addition of length used in real life?

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

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

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

- Multiply metres and kilometres by whole numbers in real life situations
- Solve problems involving multiplication of metres and kilometres

In groups and individually, learners are guided to:
- Multiply metres and kilometres by whole numbers
- Solve real-life problems involving multiplication of metres and kilometres
- Calculate total distances for repeated journeys

How do we use multiplication of length in real life?

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

- 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

How do we use division of length in real life?

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

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

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

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

How can you determine the area of different surfaces?

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

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

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

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

How can you determine the area of different surfaces?

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

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

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

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

- 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

How can you determine the area of different surfaces?

- Mentor Mathematics learners book grade 5 page 127-128
- Rulers
- Rectangular objects
- Charts with rectangles
- Mentor Mathematics learners book grade 5 page 129-130
- Square cut-outs
- Charts with squares

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

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

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

- Apply the formula for area of squares in different situations
- Solve problems involving area of squares

In groups and individually, learners are guided to:
- Work out the area of different squares using the formula (side × side)
- Solve real-life problems involving area of squares
- Calculate the area of square objects

How can you determine the area of different surfaces?

- Mentor Mathematics learners book grade 5 page 130-131
- Rulers
- Square objects
- Charts with squares

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

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

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

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

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

Where is Volume applicable in real life?

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

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

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

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

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

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

Where is Volume applicable in real life?

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

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

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

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

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

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

Where is Volume applicable in real life?

- Mentor Mathematics learners book grade 5 page 136
- Cuboid models
- Digital devices
- Measuring tools
- 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:

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

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

Where is Volume applicable in real life?

- Mentor Mathematics learners book grade 5 page 138-139
- Cube models
- Digital devices
- Measuring tools

- 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:

- 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

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

- 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:

- Measure capacity in millilitres in different situations
- Record measurements accurately
- Appreciate use of millilitres in real life

In groups and individually, learners are guided to:
- Watch a video on measuring capacity in millilitres
- Measure and record the capacity of various containers in millilitres
- Discuss the importance of accurate measurement

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

- Mentor Mathematics learners book grade 5 page 142
- Graduated cylinders
- Various containers
- Water
- Digital devices
- Videos

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

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

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

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

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

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

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

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Capacity - Relationship between litres and millilitres

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

- Identify the relationship between litres and millilitres in real life
- Appreciate the relationship between litres and millilitres

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

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

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

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Capacity - Converting litres to millilitres and vice versa (1)
Capacity - Converting litres to millilitres and vice versa (2)

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

- Convert litres to millilitres in real life situations
- Apply conversion in solving problems

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

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

- Mentor Mathematics learners book grade 5 page 145
- Conversion charts
- Digital devices
- Mentor Mathematics learners book grade 5 page 146-147

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Capacity - Addition of litres and millilitres

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

How do we apply addition of capacity in real life?

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Capacity - Subtraction of litres and millilitres

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

- Subtract litres and millilitres in real life situations
- Solve problems involving subtraction of litres and millilitres

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

How do we apply subtraction of capacity in real life?

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

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

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

- Multiply litres and millilitres by whole numbers in real life situations
- Solve problems involving multiplication of litres and millilitres

In groups and individually, learners are guided to:
- Multiply litres and millilitres by whole numbers
- Solve real-life problems involving multiplication of litres and millilitres
- Calculate total capacity of multiple containers

How do we apply multiplication of capacity in real life?

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

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

What is the importance of measuring mass?

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

- Oral questions - Written exercises - Observation

MEASUREMENT

Mass - Measuring mass in grams (1)
Mass - Measuring mass in grams (2)

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

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

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

What is the importance of measuring mass?

- Mentor Mathematics learners book grade 5 page 155
- Electronic/manual weighing machine
- Various small objects
- Sand or soil
- Mentor Mathematics learners book grade 5 page 156
- Digital devices
- Videos

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

Mass - Estimating and measuring mass in grams (1)

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

- Estimate mass in grams in different situations
- Appreciate estimating mass in real life

In groups and individually, learners are guided to:
- Estimate the mass of different items in grams
- Discuss strategies for estimating mass
- Compare their estimates with each other

What is the importance of measuring mass?

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

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

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

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

- Measure estimated mass and compare with actual measurements
- Appreciate the importance of accurate measurement

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

What is the importance of measuring mass?

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

- Oral questions - Written exercises - Observation - Practical assessment

MEASUREMENT

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

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

- Convert kilograms to grams in real life situations
- Apply conversion in solving problems

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

What is the importance of measuring mass?

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

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

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

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

- Convert grams to kilograms in real life situations
- Apply conversion in solving problems

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

What is the importance of measuring mass?

- Mentor Mathematics learners book grade 5 page 162
- Conversion charts
- Digital devices
- Mentor Mathematics learners book grade 5 page 163-164

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Mass - Subtraction of grams and kilograms

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

- Subtract grams and kilograms in real life situations
- Solve problems involving subtraction of grams and kilograms

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

How do we apply subtraction of mass in real life?

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

- 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
Time - Identifying the second as a unit of measuring time

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

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

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

How do we apply multiplication of mass in real life?

- Mentor Mathematics learners book grade 5 page 167-168
- Multiplication tables
- Digital devices
- Mentor Mathematics learners book grade 5 page 169-170
- Mentor Mathematics learners book grade 5 page 171
- Analogue clocks
- Digital clocks
- Stopwatches

- Oral questions - Written exercises - Assessment rubrics