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SCHEME OF WORK
Mathematics
Grade 5 2026
TERM I
School


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WK LSN STRAND SUB-STRAND LESSON LEARNING OUTCOMES LEARNING EXPERIENCES KEY INQUIRY QUESTIONS LEARNING RESOURCES ASSESSMENT METHODS REFLECTION
1 1
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.
1 2
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 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).
- Oral questions. - Written exercises. - Group presentation. - Observation.
1 3
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
By the end of the lesson, the learner should be able to:

- Read numbers up to hundreds of thousands in symbols from number charts or cards.
- Write numbers up to hundreds of thousands in symbols.
- Apply numbers up to hundreds of thousands in symbols in real life.
The learner is guided to:
- Read numbers up to hundreds of thousands in symbols from number charts or cards.
- Write numbers up to hundreds of thousands in symbols.
- Participate in reading number games using number cards.
- Share and discuss their work with classmates.
Where are large numbers used in real life?
- Mentor Mathematics Learner's Book Grade 5 page 6.
- Number charts.
- Number cards.
- Flash cards with large numbers.
- Mentor Mathematics Learner's Book Grade 5 page 7.
- Place value charts.
- Real-life examples with large numbers.
- Mentor Mathematics Learner's Book Grade 5 page 8.
- Flash cards with numbers in words.
- Reference materials.
- Oral questions. - Written exercises. - Peer assessment. - Observation.
1 4
NUMBERS
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:

- Convert between numbers in symbols and numbers in words.
- Apply reading and writing numbers in words in real-life situations.
- Appreciate importance of reading and writing numbers in words.
The learner is guided to:
- Convert numbers from symbols to words and from words to symbols.
- Create and solve problems involving numbers in words.
- Discuss real-life contexts where writing numbers in words is important.
- Practice reading and writing numbers in words.
Where do we use numbers in words in real life?
- Mentor Mathematics Learner's Book Grade 5 page 9.
- Number charts.
- Number cards.
- Flash cards with numbers in words.
- Real-life documents with numbers in words.
- Games involving numbers in words.
- Real-life documents.
- Observation. - Oral questions. - Written exercises. - Individual assessment.
1 5
NUMBERS
Whole Numbers – Ordering numbers up to tens of thousands
By the end of the lesson, the learner should be able to:

- Arrange numbers up to tens of thousands in increasing 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 increasing order using number cards.
- Compare numbers up to tens of thousands using symbols (<, >, =).
- Share their arrangements with other groups.
- Discuss real-life applications of ordering numbers.
Where is ordering of numbers used in real life?
- Mentor Mathematics Learner's Book Grade 5 page 10.
- Number cards.
- Charts with numbers.
- Comparing symbols cards.
- Mentor Mathematics Learner's Book Grade 5 page 12.
- Real-life data for ordering activities.
- Observation. - Oral questions. - Written exercises. - Group presentation.
2 1
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:

- Round off numbers up to tens of thousands to the nearest hundred.
- 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 hundred on the number line.
- Round off numbers to the nearest hundred using a number line.
- Share their work with other groups.
Why do we round off numbers?
- Mentor Mathematics Learner's Book Grade 5 page 15.
- Number line charts.
- Number cards.
- Real-life examples requiring rounding.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
2 2
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.
2 3
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.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
2 4
NUMBERS
Whole Numbers – Rounding off numbers up to tens of thousands to the nearest thousand
Whole Numbers – Divisibility tests of 2, 5 and 10
By the end of the lesson, the learner should be able to:

- Apply rounding off numbers to the nearest thousand in problem solving.
- Create problems involving rounding off to the nearest thousand.
- Show genuine interest in rounding off numbers.
The learner is guided to:
- Solve problems involving rounding off to the nearest thousand.
- Create their own problems requiring rounding off.
- Discuss practical applications of rounding off in everyday life.
- Play games involving rounding off numbers.
When do we need to round off numbers to the nearest thousand?
- Mentor Mathematics Learner's Book Grade 5 page 18.
- Number line charts.
- Number cards.
- Real-life problems requiring rounding.
- Games involving rounding.
- Mentor Mathematics Learner's Book Grade 5 page 19.
- Chart showing divisibility rules.
- Digital devices (optional).
- Observation. - Oral questions. - Written exercises. - Group presentation.
2 5
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).
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
3 1
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 10 in real life.
- Identify numbers divisible by 10 without a remainder.
- Appreciate the use of divisibility tests of 10.
The learner is guided to:
- Use number cards to divide different numbers by 10 and come up with divisibility rules.
- Identify and list numbers divisible by 10.
- Discuss the pattern observed in numbers divisible by 10.
- Apply divisibility test of 10 in solving problems.
How does knowledge of divisibility rules help in solving mathematical problems?
- Mentor Mathematics Learner's Book Grade 5 page 23.
- Number cards.
- Chart showing divisibility rules.
- Digital devices (optional).
- Observation. - Oral questions. - Written exercises. - Group presentation.
3 2
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).
- Mentor Mathematics Learner's Book Grade 5 page 26.
- Factors and multiples charts.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
3 3
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.
3 4
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 up to a sum of 1,000,000.
- Use place value apparatus for addition.
- Appreciate using addition in real life situations.
The learner is guided to:
- Work out the sum of three 6-digit numbers without regrouping up to 1,000,000 using place value apparatus.
- Create and solve addition problems involving 6-digit numbers.
- Discuss practical applications of addition in real life.
- Share their work with other groups.
Where is addition of large numbers used in real life?
- Mentor Mathematics Learner's Book Grade 5 page 32.
- Place value apparatus.
- Abacus.
- Number cards.
- Chart with addition examples.
- Observation. - Oral questions. - Written exercises. - Group work assessment.
3 5
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.
4 1
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.
4 2
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.
4 3
NUMBERS
Addition – Creating patterns involving addition
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.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
4 4
NUMBERS
Subtraction – Subtraction of up to 6-digit numbers without regrouping
By the end of the lesson, the learner should be able to:

- Subtract up to 6-digit numbers without regrouping.
- Use place value apparatus for subtraction.
- Appreciate subtraction in real life situations.
The learner is guided to:
- Work out subtraction of up to 6-digit numbers without regrouping using place value apparatus.
- Create and solve subtraction problems.
- Discuss practical applications of subtraction in real life.
- Share their work with other groups.
Where is subtraction used in real life?
- Mentor Mathematics Learner's Book Grade 5 page 40.
- Place value apparatus.
- Abacus.
- Number cards.
- Chart with subtraction examples.
- Observation. - Oral questions. - Written exercises. - Group work assessment.
4 5
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.
- Mentor Mathematics Learner's Book Grade 5 page 43.
- Games involving subtraction.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
5 1
NUMBERS
Subtraction – Estimating difference by rounding off
By the end of the lesson, the learner should be able to:

- Estimate difference by rounding off the minuend and subtrahend 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 differences by rounding off the minuend and subtrahend to the nearest hundred and thousand using a number line.
- Compare estimated differences with actual differences.
- Discuss situations where estimation is more practical than exact calculation.
- Practice estimation in real-life contexts.
Why do we need to estimate differences in real life?
- Mentor Mathematics Learner's Book Grade 5 page 45.
- Number line.
- Number cards.
- Chart showing rounding off examples.
- Real-life problems for estimation.
- Observation. - Oral questions. - Written exercises. - Group presentation.
5 2
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.
5 3
NUMBERS
Subtraction – Creating patterns involving subtraction
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.
- Observation. - Oral questions. - Written exercises. - Group presentation.
5 4
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.
5 5
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.
6 1
NUMBERS
Multiplication – Estimating product by rounding off
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.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
6 2
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.
- Mentor Mathematics Learner's Book Grade 5 page 57.
- Chart showing complex patterns.
- Digital devices (optional).
- Observation. - Oral questions. - Written exercises. - Group presentation.
6 3
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.
6 4
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.
6 5
NUMBERS
Division – Relationship between multiplication and division
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.
- Observation. - Oral questions. - Written exercises. - Group presentation.
7 1
NUMBERS
Division – Estimating quotients by rounding off
Division – Combined operations
By the end of the lesson, the learner should be able to:

- Estimate quotients by rounding off the dividend and divisor to the nearest ten.
- Apply estimation in real life situations.
- Appreciate the importance of estimation.
The learner is guided to:
- Estimate quotients by rounding off the dividend and divisor to the nearest ten.
- Compare estimated quotients with actual quotients.
- Discuss situations where estimation is practical.
- Practice estimation in real-life contexts.
How can we estimate quotients?
- Mentor Mathematics Learner's Book Grade 5 page 65.
- Number line.
- Number cards.
- Chart showing estimation examples.
- Real-life problems.
- Mentor Mathematics Learner's Book Grade 5 page 67.
- Number wheel.
- Chart showing combined operations.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
7 2
NUMBERS
Division – Combined operations
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).
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
7 3
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.
7 4
NUMBERS
Fractions – Comparing fractions
By the end of the lesson, the learner should be able to:

- Compare fractions with different denominators.
- Use symbols (<, >, =) to compare fractions.
- Apply comparison of fractions in real life.
The learner is guided to:
- Compare given fractions using paper cut-outs and concrete objects.
- Use symbols (<, >, =) to show the relationship between fractions.
- Convert fractions to equivalent fractions with same denominators for comparison.
- Discuss real-life situations requiring comparison of fractions.
Why do we compare fractions in real life?
- Mentor Mathematics Learner's Book Grade 5 page 75.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Comparison symbol cards.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
7 5
NUMBERS
Fractions – Ordering fractions
Fractions – Adding fractions with same denominator
By the end of the lesson, the learner should be able to:

- Order fractions with denominators not exceeding 12.
- Arrange fractions in ascending and descending order.
- Apply ordering of fractions in real life.
The learner is guided to:
- Order given fractions in increasing and decreasing order using a number line, paper cut-outs, real objects.
- Convert fractions to equivalent fractions with same denominators for ordering.
- Create and solve problems involving ordering of fractions.
- Discuss real-life applications of ordering fractions.
Where are fractions used in real life?
- Mentor Mathematics Learner's Book Grade 5 page 77.
- Fraction number line.
- Fraction chart.
- Paper cut-outs.
- Real objects for demonstration.
- Mentor Mathematics Learner's Book Grade 5 page 79.
- Fraction board.
- Number line.
- Observation. - Oral questions. - Written exercises. - Group presentation.
8 1
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.
8 2
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.
8 3
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.
8 4
NUMBERS
Fractions – Subtracting fractions with one renaming
By the end of the lesson, the learner should be able to:

- Subtract fractions with one renaming.
- Convert fractions to equivalent fractions with same denominator.
- Apply subtraction of fractions in real life.
The learner is guided to:
- Carry out subtraction of two fractions by renaming one fraction using equivalent fractions.
- Simplify the difference of fractions.
- Create and solve problems involving subtraction of fractions with one renaming.
- Discuss real-life applications.
Why do we need to rename fractions before subtracting?
- Mentor Mathematics Learner's Book Grade 5 page 86.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Number line.
- Mentor Mathematics Learner's Book Grade 5 page 87.
- Games involving fractions.
- Real-life fraction problems.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
8 5
NUMBERS
Decimals – Place value of decimals up to thousandths
By the end of the lesson, the learner should be able to:

- Identify place value of decimals up to thousandths.
- Read and write decimals up to thousandths.
- Appreciate the use of decimals in real life.
The learner is guided to:
- Work out place value of decimals up to thousandths using a place value chart.
- Read and write decimals up to thousandths.
- Identify the value of digits in different decimal places.
- Discuss where decimals are used in real life.
Where do you use decimals in real life?
- Mentor Mathematics Learner's Book Grade 5 page 91.
- Decimal place value chart.
- Number cards with decimals.
- Real-life examples with decimals.
- Observation. - Oral questions. - Written exercises. - Group work assessment.
9 1
NUMBERS
Decimals – Place value of decimals up to thousandths
By the end of the lesson, the learner should be able to:

- Identify place value and total value of digits in decimal numbers.
- Read and write decimal numbers correctly.
- Apply knowledge of decimal place value in real life.
The learner is guided to:
- Determine the place value and total value of digits in decimal numbers.
- Read and write decimal numbers correctly.
- Create and solve problems involving decimal place value.
- Discuss real-life applications of decimal place value.
What is the importance of understanding place value in decimals?
- Mentor Mathematics Learner's Book Grade 5 page 92.
- Decimal place value chart.
- Number cards with decimals.
- Digital devices (optional).
- Real-life examples with decimals.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
9 2
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.
9 3
NUMBERS
Decimals – Ordering decimals up to thousandths
Decimals – Adding decimals up to thousandths
By the end of the lesson, the learner should be able to:

- Order decimals up to thousandths from largest to smallest.
- Apply ordering of decimals in different contexts.
- Show genuine interest in ordering decimals.
The learner is guided to:
- Order decimals up to thousandths from largest to smallest using number cards or number line.
- Create and solve real-life problems involving ordering of decimals.
- Develop strategies for comparing and ordering decimals.
- Play games involving ordering of decimals.
How does ordering decimals help us in real life?
- Mentor Mathematics Learner's Book Grade 5 page 95.
- Decimal number line.
- Number cards with decimals.
- Games involving decimals.
- Real-life data with decimals.
- Mentor Mathematics Learner's Book Grade 5 page 96.
- Place value apparatus.
- Decimal place value chart.
- Real-life problems with decimals.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
9 4
NUMBERS
Decimals – Subtracting decimals up to thousandths
By the end of the lesson, the learner should be able to:

- Subtract decimals up to thousandths.
- Align decimal points correctly during subtraction.
- Apply subtraction of decimals in real life.
The learner is guided to:
- Work out subtraction of decimals up to thousandths using place value apparatus.
- Align decimal points correctly during subtraction.
- Create and solve problems involving subtraction of decimals.
- Discuss real-life applications of subtraction of decimals.
How do we subtract decimals in real life?
- Mentor Mathematics Learner's Book Grade 5 page 98.
- Place value apparatus.
- Decimal place value chart.
- Number cards with decimals.
- Real-life problems with decimals.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
9 5
NUMBERS
Simple Equations – Forming simple equations with one unknown
By the end of the lesson, the learner should be able to:

- Define simple equations.
- Form simple equations with one unknown from real-life situations.
- Appreciate the use of equations in real life.
The learner is guided to:
- Discuss and form equations with one unknown from daily experiences.
- Represent real-life problems using simple equations.
- Create their own equations with one unknown.
- Share their equations with classmates.
Where are equations used in real life?
- Mentor Mathematics Learner's Book Grade 5 page 101.
- Charts with equation examples.
- Real-life problems.
- Digital devices (optional).
- Observation. - Oral questions. - Written exercises. - Group work assessment.
10 1
NUMBERS
Simple Equations – Forming simple equations with one unknown
Simple Equations – Solving simple equations with one unknown
By the end of the lesson, the learner should be able to:

- Form simple equations from word problems.
- Translate real-life situations into equations.
- Show genuine interest in forming equations.
The learner is guided to:
- Translate word problems into simple equations.
- Form equations from different real-life situations.
- Create their own real-life scenarios and form equations from them.
- Share and discuss their equations with classmates.
How can we translate real-life situations into equations?
- Mentor Mathematics Learner's Book Grade 5 page 102.
- Word problem cards.
- Charts with equation examples.
- Digital devices (optional).
- Real-life scenarios.
- Mentor Mathematics Learner's Book Grade 5 page 103.
- Real-life problems.
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
10 2
NUMBERS
Simple Equations – Solving simple equations with one unknown
By the end of the lesson, the learner should be able to:

- Solve simple equations with one unknown involving subtraction.
- Apply solving equations in real-life situations.
- Appreciate the use of equations in problem-solving.
The learner is guided to:
- Solve equations with one unknown involving subtraction.
- Check their answers by substituting back into the original equation.
- Create and solve problems involving simple equations.
- Discuss real-life applications of equations.
How can solving equations help us in daily life?
- Mentor Mathematics Learner's Book Grade 5 page 104.
- Charts with equation examples.
- Real-life problems.
- Digital devices (optional).
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
10 3
NUMBERS
Simple Equations – Solving simple equations with one unknown
By the end of the lesson, the learner should be able to:

- Solve simple equations with one unknown involving multiplication and division.
- Apply solving equations in real-life situations.
- Appreciate the use of equations in problem-solving.
The learner is guided to:
- Solve equations with one unknown involving multiplication and division.
- Check their answers by substituting back into the original equation.
- Create and solve problems involving simple equations.
- Discuss real-life applications of equations.
How do equations with multiplication and division relate to real life?
- Mentor Mathematics Learner's Book Grade 5 page 105.
- Charts with equation examples.
- Real-life problems.
- Digital devices (optional).
- Observation. - Oral questions. - Written exercises. - Group presentation.
10 4
NUMBERS
MEASUREMENT
Simple Equations – Application of simple equations
Length - Identifying the kilometre (km) as a unit of measuring length
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
- Oral questions. - Written exercises. - Group work observation. - Individual assessment.
10 5
MEASUREMENT
Length - Estimating distance in kilometres (1)
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
- Appreciate the use of kilometres in estimating distances
In groups and individually, learners are guided to:
- Discuss in groups and estimate distance in kilometres practically using play materials such as ropes and share their estimates
- Estimate distances between various landmarks in the school compound
Why do you measure distance?
- Mentor Mathematics learners book grade 5 page 110
- Measuring tapes
- Maps
- Ropes
- Mentor Mathematics learners book grade 5 page 111
- Mentor Mathematics learners book grade 5 page 112
- 1 metre ruler
- Metre sticks
- Tape measure
- Oral questions - Observation - Written exercises
11 1
MEASUREMENT
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:

- 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
- Oral questions - Written exercises - Observation
11 2
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:

- 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
How do you measure distance?
- 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
11 3
MEASUREMENT
Length - Multiplication of metres and kilometres by whole numbers
By the end of the lesson, the learner should be able to:

- Multiply metres and kilometres by whole numbers in real life situations
- Solve problems involving multiplication of metres and kilometres
In groups and individually, learners are guided to:
- Multiply metres and kilometres by whole numbers
- Solve real-life problems involving multiplication of metres and kilometres
- Calculate total distances for repeated journeys
How do we use multiplication of length in real life?
- Mentor Mathematics learners book grade 5 page 121-122
- Multiplication tables
- Digital devices
- Oral questions - Written exercises - Assessment rubrics
11 4
MEASUREMENT
Length - Division of metres and kilometres by whole numbers (1)
By the end of the lesson, the learner should be able to:

- Divide metres and kilometres by whole numbers in real life situations
- Solve problems involving division of metres and kilometres
In groups and individually, learners are guided to:
- Divide metres and kilometres by whole numbers
- Solve real-life problems involving division of metres and kilometres
- Calculate distances shared equally
How do we use division of length in real life?
- Mentor Mathematics learners book grade 5 page 123
- Digital devices
- Oral questions - Written exercises - Assessment rubrics
11 5
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
12 1
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
12 2
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
12 3
MEASUREMENT
Area - Working out area of rectangles in square centimetres (2)
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
- Oral questions - Written exercises - Observation - Project
12 4
MEASUREMENT
Area - Working out area of squares in square centimetres (1)
Area - Working out area of squares in square centimetres (2)
By the end of the lesson, the learner should be able to:

- Work out area of squares in square centimetres (cm²) in different situations
- Establish the formula for area of a square (side × side)
In groups and individually, learners are guided to:
- Establish area of squares in cm² as the product of the side by itself
- Derive the formula: Area of square = side × side
- Discuss the difference between rectangles and squares
How can you determine the area of different surfaces?
- Mentor Mathematics learners book grade 5 page 129-130
- Square cut-outs
- Rulers
- Charts with squares
- Mentor Mathematics learners book grade 5 page 130-131
- Square objects
- Oral questions - Written exercises - Observation - Project
12 5
MEASUREMENT
Volume - The cubic centimetre (cm³) as a unit of measuring volume
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
- Oral questions - Written exercises - Observation - Project
13 1
MEASUREMENT
Volume - Deriving the formula for volume of cuboid (1)
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
Where is Volume applicable in real life?
- Mentor Mathematics learners book grade 5 page 134
- 1 cm cubes
- Digital devices
- Videos
- Cuboid models
- Oral questions - Written exercises - Observation - Project
13 2
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
13 3
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
13 4
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
13 5
MEASUREMENT
Capacity - Identifying the millilitre as a unit of measuring capacity
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
- Oral questions - Written exercises - Observation
14 1
MEASUREMENT
Capacity - Measuring capacity in millilitres (1)
By the end of the lesson, the learner should be able to:

- Measure capacity in millilitres in real life situations
- Appreciate use of millilitres in measuring capacity in real life
In groups and individually, learners are guided to:
- Fill small containers with water and measure the capacity in millilitres using a container graduated in millilitres
- Compare capacities of different small containers
Where are litres and millilitres used in day-to-day life?
- Mentor Mathematics learners book grade 5 page 141
- Graduated cylinders
- Various containers
- Water
- Measuring spoons
- Oral questions - Written exercises - Observation
14 2
MEASUREMENT
Capacity - Measuring capacity in millilitres (2)
Capacity - Estimating and measuring capacity in multiples of 5 millilitres (1)
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
- Mentor Mathematics learners book grade 5 page 143
- Measuring spoons
- Oral questions - Written exercises - Observation - Practical assessment
14 3
MEASUREMENT
Capacity - Estimating and measuring capacity in multiples of 5 millilitres (2)
By the end of the lesson, the learner should be able to:

- Measure capacity in multiples of 5 millilitres in different situations
- Compare estimated and actual measurements
- Appreciate the importance of accurate measurement
In groups and individually, learners are guided to:
- Measure the actual capacity of containers they estimated
- Compare their estimates with actual measurements
- Discuss the accuracy of their estimates and how to improve
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
14 4
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
14 5
MEASUREMENT
Capacity - Converting litres to millilitres and vice versa (1)
By the end of the lesson, the learner should be able to:

- Convert litres to millilitres in real life situations
- Apply conversion in solving problems
In groups and individually, learners are guided to:
- Convert litres to millilitres using the relationship 1 L = 1,000 mL
- Solve problems involving conversion of litres to millilitres
- Apply conversion in real-life problems
Where are litres and millilitres used in day-to-day life?
- Mentor Mathematics learners book grade 5 page 145
- Conversion charts
- Digital devices
- Oral questions - Written exercises - Assessment rubrics
15 1
MEASUREMENT
Capacity - Converting litres to millilitres and vice versa (2)
Capacity - Addition of litres and millilitres
By the end of the lesson, the learner should be able to:

- Convert millilitres to litres in real life situations
- Apply conversion in solving problems
In groups and individually, learners are guided to:
- Convert millilitres to litres using the relationship 1 L = 1,000 mL
- Solve problems involving conversion of millilitres to litres
- Apply conversion in real-life problems
Where are litres and millilitres used in day-to-day life?
- Mentor Mathematics learners book grade 5 page 146-147
- Conversion charts
- Digital devices
- Mentor Mathematics learners book grade 5 page 148-149
- Graduated containers
- Oral questions - Written exercises - Assessment rubrics
15 2
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
15 3
MEASUREMENT
Capacity - Multiplication of litres and millilitres by whole numbers
By the end of the lesson, the learner should be able to:

- Multiply litres and millilitres by whole numbers in real life situations
- Solve problems involving multiplication of litres and millilitres
In groups and individually, learners are guided to:
- Multiply litres and millilitres by whole numbers
- Solve real-life problems involving multiplication of litres and millilitres
- Calculate total capacity of multiple containers
How do we apply multiplication of capacity in real life?
- Mentor Mathematics learners book grade 5 page 151-152
- Multiplication tables
- Digital devices
- Oral questions - Written exercises - Assessment rubrics
15 4
MEASUREMENT
Capacity - Division of litres and millilitres by whole numbers
By the end of the lesson, the learner should be able to:

- Divide litres and millilitres by whole numbers in different situations
- Solve problems involving division of litres and millilitres
In groups and individually, learners are guided to:
- Divide litres and millilitres by whole numbers
- Solve real-life problems involving division of litres and millilitres
- Calculate capacity shared equally among containers
How do we apply division of capacity in real life?
- Mentor Mathematics learners book grade 5 page 152-153
- Digital devices
- Oral questions - Written exercises - Assessment rubrics
15 5
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:

- 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
- Mentor Mathematics learners book grade 5 page 155
- Various small objects
- Oral questions - Written exercises - Observation
16 1
MEASUREMENT
Mass - Measuring mass in grams (2)
By the end of the lesson, the learner should be able to:

- Measure mass in grams accurately
- Record and compare measurements
- Appreciate measuring mass in grams in real life
In groups and individually, learners are guided to:
- Watch a video on measuring mass in grams
- Measure the mass of various classroom objects in grams
- Record and compare their measurements
- Discuss the importance of accurate measurement
What is the importance of measuring mass?
- Mentor Mathematics learners book grade 5 page 156
- Electronic/manual weighing machine
- Various small objects
- Digital devices
- Videos
- Oral questions - Written exercises - Observation - Practical assessment
16 2
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
16 3
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
16 4
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
16 5
MEASUREMENT
Mass - Converting kilograms to grams and vice versa (2)
By the end of the lesson, the learner should be able to:

- Convert grams to kilograms in real life situations
- Apply conversion in solving problems
In groups and individually, learners are guided to:
- Convert grams to kilograms using the relationship 1 kg = 1,000 g
- Solve problems involving conversion of grams to kilograms
- Apply conversion in real-life problems
What is the importance of measuring mass?
- Mentor Mathematics learners book grade 5 page 162
- Conversion charts
- Digital devices
- Oral questions - Written exercises - Assessment rubrics
17 1
MEASUREMENT
Mass - Addition of grams and kilograms
By the end of the lesson, the learner should be able to:

- Add grams and kilograms in real life situations
- Solve problems involving addition of grams and kilograms
In groups and individually, learners are guided to:
- Add grams and kilograms with regrouping
- Solve real-life problems involving addition of grams and kilograms
- Calculate total mass in practical situations
How do we apply addition of mass in real life?
- Mentor Mathematics learners book grade 5 page 163-164
- Digital devices
- Oral questions - Written exercises - Assessment rubrics
17 2
MEASUREMENT
Mass - Subtraction of grams and kilograms
Mass - Multiplication of grams and kilograms by whole numbers
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
- Mentor Mathematics learners book grade 5 page 167-168
- Multiplication tables
- Oral questions - Written exercises - Assessment rubrics
17 3
MEASUREMENT
Mass - Division of grams and kilograms by whole numbers
By the end of the lesson, the learner should be able to:

- Divide grams and kilograms by whole numbers in real life situations
- Solve problems involving division of grams and kilograms
In groups and individually, learners are guided to:
- Divide grams and kilograms by whole numbers
- Solve real-life problems involving division of grams and kilograms
- Calculate mass shared equally among containers or groups
How do we apply division of mass in real life?
- Mentor Mathematics learners book grade 5 page 169-170
- Digital devices
- Oral questions - Written exercises - Assessment rubrics
17 4
MEASUREMENT
Time - Identifying the second as a unit of measuring 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
How can we read and tell time?
- Mentor Mathematics learners book grade 5 page 171
- Analogue clocks
- Digital clocks
- Stopwatches
- Digital devices
- Oral questions - Written exercises - Observation - Practical assessment
17 5
MEASUREMENT
Time - Relationship between minute and second
By the end of the lesson, the learner should be able to:

- Identify the relationship between the minute and the second in real life situations
- Appreciate the relationship between minutes and seconds
In groups and individually, learners are guided to:
- Establish the relationship between seconds and minute using a clock or stopwatch (1 minute = 60 seconds)
- Measure time taken to do various activities in seconds and minutes
- Discuss the relationship and its application in real life
How can we read and tell time?
- Mentor Mathematics learners book grade 5 page 172
- Analogue clocks
- Digital clocks
- Stopwatches
- Digital devices
- Oral questions - Written exercises - Observation - Practical assessment
18 1
MEASUREMENT
Time - Converting minutes to seconds and vice versa (1)
Time - Converting minutes to seconds and vice versa (2)
By the end of the lesson, the learner should be able to:

- Convert minutes to seconds in real life
- Apply conversion in solving problems
In groups and individually, learners are guided to:
- Convert minutes to seconds using the relationship 1 minute = 60 seconds
- Solve problems involving conversion of minutes to seconds
- Apply conversion in real-life problems
How can we read and tell time?
- Mentor Mathematics learners book grade 5 page 173
- Conversion charts
- Digital devices
- Clocks
- Stopwatches
- Mentor Mathematics learners book grade 5 page 174
- Oral questions - Written exercises - Assessment rubrics
18 2
MEASUREMENT
Time - Addition of minutes and seconds with conversion
By the end of the lesson, the learner should be able to:

- Add minutes and seconds with conversion in real life situations
- Solve problems involving addition of minutes and seconds
In groups and individually, learners are guided to:
- Add minutes and seconds with regrouping
- Solve real-life problems involving addition of minutes and seconds
- Calculate total time in practical situations
How can we apply addition of time in real life?
- Mentor Mathematics learners book grade 5 page 175-176
- Digital devices
- Clocks
- Stopwatches
- Oral questions - Written exercises - Assessment rubrics
18 3
MEASUREMENT
Time - Subtraction of minutes and seconds with conversion
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
How can we apply subtraction of time in real life?
- Mentor Mathematics learners book grade 5 page 177-178
- Digital devices
- Clocks
- Stopwatches
- Oral questions - Written exercises - Assessment rubrics
18 4
MEASUREMENT
Time - Multiplication of minutes and seconds by whole numbers
By the end of the lesson, the learner should be able to:

- Multiply minutes and seconds by whole numbers in real life situations
- Solve problems involving multiplication of minutes and seconds
In groups and individually, learners are guided to:
- Multiply minutes and seconds by whole numbers
- Solve real-life problems involving multiplication of minutes and seconds
- Calculate total time for repeated activities
How can we apply multiplication of time in real life?
- Mentor Mathematics learners book grade 5 page 178
- Multiplication tables
- Digital devices
- Clocks
- Stopwatches
- Oral questions - Written exercises - Assessment rubrics
18 5
MEASUREMENT
GEOMETRY
GEOMETRY
Time - Division of minutes and seconds by whole numbers
Lines - Identifying and drawing horizontal and vertical lines
Lines - Identifying and drawing perpendicular lines
By the end of the lesson, the learner should be able to:

- Divide minutes and seconds by whole numbers in real life situations
- Solve problems involving division of minutes and seconds
In groups and individually, learners are guided to:
- Divide minutes and seconds by whole numbers
- Solve real-life problems involving division of minutes and seconds
- Calculate time taken for sharing activities equally
How can we apply division of time in real life?
- Mentor Mathematics learners book grade 5 page 179
- Digital devices
- Clocks
- Stopwatches
- Mentor Mathematics learners book grade 5 page 188-189
- Rulers
- Straight edges
- Chalk board ruler
- Charts with examples of lines
- Mentor Mathematics learners book grade 5 page 190-191
- Set squares
- Charts with examples of perpendicular lines
- Oral questions - Written exercises - Assessment rubrics
19 1
GEOMETRY
Lines - Identifying and drawing parallel lines
Lines - Uses of various types of lines in real life
By the end of the lesson, the learner should be able to:

- Identify parallel lines in different situations
- Draw parallel lines in different situations
- Appreciate the use of parallel lines in real life
In groups and individually, learners are guided to:
- Identify parallel lines in the classroom and within the environment
- Describe parallel lines as lines that are always the same distance apart and never meet
- Draw parallel lines using set squares, rulers and other straight edges
- Discuss real-life examples of parallel lines
Where are parallel lines used?
- Mentor Mathematics learners book grade 5 page 192-193
- Rulers
- Set squares
- Straight edges
- Chalk board ruler
- Digital devices
- Charts with examples of parallel lines
- Mentor Mathematics learners book grade 5 page 194
- Objects with different types of lines
- Pictures showing different types of lines
- Drawing tools
- Oral questions - Written exercises - Observation - Project
19 2
GEOMETRY
Angles - Relating a turn to angles
Angles - Reading a protractor
Angles - Using a protractor to measure angles
By the end of the lesson, the learner should be able to:

- Relate a turn to angles in real life
- Appreciate the relationship between turns and angles
In groups and individually, learners are guided to:
- Make clockwise, quarter and half turns, and relate them to angles in the environment
- Relate the amount of turn to the size of an angle
- Demonstrate different turns and identify the corresponding angle
- Discuss examples of turns in real life and their angles
What is the relationship between turns and angles?
- Mentor Mathematics learners book grade 5 page 195
- Objects that rotate (e.g., door, bottle cap)
- Paper cut-outs for demonstrating turns
- Digital devices
- Pictures showing different turns
- Mentor Mathematics learners book grade 5 page 196
- Protractors
- Charts showing parts of a protractor
- Diagrams with angles
- Mentor Mathematics learners book grade 5 page 197-198
- Rulers
- Oral questions - Written exercises - Observation - Demonstration
19 3
GEOMETRY
Angles - Identifying the degree as a unit of measuring angle
Angles - Measuring angles in degrees
By the end of the lesson, the learner should be able to:

- Identify the degree as a unit of measuring angle
- Appreciate the use of degrees as units for measuring angles
In groups and individually, learners are guided to:
- Make a unit angle and use it to measure angles in the environment
- Divide a 10° angle into 10 equal parts and identify each part as equal to 1 degree
- Learn that a full turn is 360 degrees
- Identify common angles (90°, 180°, 270°, 360°)
What is the unit for measuring angles?
- Mentor Mathematics learners book grade 5 page 199
- Protractors
- Paper cut-outs of angles
- Digital devices
- Charts showing different angles
- Mentor Mathematics learners book grade 5 page 200-201
- Diagrams with angles
- Objects with angles
- Oral questions - Written exercises - Observation - Practical assessment
19 4
GEOMETRY
Angles - Uses of angles in the environment
By the end of the lesson, the learner should be able to:

- Identify the use of angles in the environment
- Appreciate the use of angles in our day-to-day life
In groups and individually, learners are guided to:
- Discuss the use of angles in the environment
- Identify angles in various objects in the environment
- Relate angles to real-life applications (construction, art, sports, etc.)
- Use digital devices to learn more about angles
Where are angles used in the environment?
- Mentor Mathematics learners book grade 5 page 202-203
- Objects with angles
- Pictures showing angles in real life
- Digital devices
- Protractors
- Oral questions - Written exercises - Observation - Project
19 5
GEOMETRY
3-D Objects - Describing 3-D objects in the environment (1)
3-D Objects - Describing 3-D objects in the environment (2)
By the end of the lesson, the learner should be able to:

- Describe 3-D objects in the environment
- Identify various 3-D objects in real life
- Appreciate the use of 3-D objects in the environment
In groups and individually, learners are guided to:
- Identify, collect objects and discuss cubes, cuboids, cylinders, spheres and pyramids as 3-D objects in the environment
- Describe the properties of cubes and cuboids
- Share findings with other groups
- Watch a video on 3-D objects
Where are 3-D objects used in the environment?
- Mentor Mathematics learners book grade 5 page 204
- 3-D objects (cubes, cuboids)
- Digital devices
- Videos
- Charts with 3-D objects
- Mentor Mathematics learners book grade 5 page 205
- 3-D objects (cylinders, spheres)
- Oral questions - Written exercises - Observation - Project
20 1
GEOMETRY
3-D Objects - Describing 3-D objects in the environment (3)
By the end of the lesson, the learner should be able to:

- Describe properties of pyramids and other 3-D objects
- Classify 3-D objects based on their properties
- Appreciate the use of 3-D objects in the environment
In groups and individually, learners are guided to:
- Describe the properties of pyramids and other 3-D objects
- Classify 3-D objects based on their properties (faces, edges, vertices)
- Identify examples of pyramids in real life
- Use digital devices to draw and learn more about 3-D objects
How do we classify 3-D objects?
- Mentor Mathematics learners book grade 5 page 206
- 3-D objects (pyramids, other shapes)
- Digital devices
- Videos
- Charts with 3-D objects
- Oral questions - Written exercises - Observation - Project
20 2
GEOMETRY
3-D Objects - Describing 2-D shapes in 3-D objects (1)
By the end of the lesson, the learner should be able to:

- Describe 2-D shapes in 3-D objects in the environment
- Identify 2-D shapes in cubes and cuboids
- Appreciate the relationship between 2-D shapes and 3-D objects
In groups and individually, learners are guided to:
- Describe 2-D shapes found in 3-D objects
- Identify squares and rectangles in cubes and cuboids
- Draw the 2-D shapes found in cubes and cuboids
- Share their findings with other groups
What 2-D shapes can we find in 3-D objects?
- Mentor Mathematics learners book grade 5 page 207
- 3-D objects (cubes, cuboids)
- 2-D shape cut-outs
- Drawing materials
- Digital devices
- Oral questions - Written exercises - Observation - Project
20 3
GEOMETRY
3-D Objects - Describing 2-D shapes in 3-D objects (2)
By the end of the lesson, the learner should be able to:

- Describe 2-D shapes in cylinders and spheres
- Identify 2-D shapes in cylinders and spheres
- Appreciate the relationship between 2-D shapes and 3-D objects
In groups and individually, learners are guided to:
- Describe 2-D shapes found in cylinders and spheres
- Identify circles and rectangles in cylinders
- Draw the 2-D shapes found in cylinders and spheres
- Share their findings with other groups
How do 2-D shapes form 3-D objects?
- Mentor Mathematics learners book grade 5 page 208
- 3-D objects (cylinders, spheres)
- 2-D shape cut-outs
- Drawing materials
- Digital devices
- Oral questions - Written exercises - Observation - Project
20 4
GEOMETRY
DATA HANDLING
DATA HANDLING
3-D Objects - Describing 2-D shapes in 3-D objects (3)
Data collection
Drawing tables to record data
By the end of the lesson, the learner should be able to:

- Describe 2-D shapes in pyramids and other 3-D objects
- Create nets of 3-D objects from 2-D shapes
- Appreciate the relationship between 2-D shapes and 3-D objects
In groups and individually, learners are guided to:
- Describe 2-D shapes found in pyramids and other 3-D objects
- Identify triangles and other shapes in pyramids
- Create nets of 3-D objects using 2-D shapes
- Fold nets to form 3-D objects
How can we create nets of 3-D objects?
- Mentor Mathematics learners book grade 5 page 209-210
- 3-D objects (pyramids, other shapes)
- 2-D shape cut-outs
- Paper for making nets
- Scissors
- Glue
- Digital devices
- Mentor Mathematics Learner's Book Grade 5 page 211
- Data collection forms
- Number cards
- Mentor Mathematics Learner's Book Grade 5 page 212
- Manila papers/charts
- Oral questions - Written exercises - Observation - Project
20 5
DATA HANDLING
Drawing tally marks of collected data
Preparing frequency tables
Interpreting data from frequency tables
Interpreting data from frequency tables
By the end of the lesson, the learner should be able to:

- Draw tally marks to represent collected data
- Interpret information represented using tally marks
- Appreciate the use of tally marks in representing data
The learner is guided to:
- Use sticks to represent tally marks for collected data
- Draw tally marks for different data sets
- Count the number of sticks representing each item
- Interpret information represented by tally marks
- Use digital devices and other resources to learn more about tally marks
How do we use tally marks to represent data?
- Mentor Mathematics Learner's Book Grade 5 page 213
- Small sticks
- Data sheets
- Digital devices
- Mentor Mathematics Learner's Book Grade 5 page 214
- Mentor Mathematics Learner's Book Grade 5 page 216
- Frequency tables
- Charts with frequency tables
- Mentor Mathematics Learner's Book Grade 5 page 218
- Observation - Oral questions - Written exercise - Project

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