Numbers

Division - Division in relation to multiplication

By the end of the lesson, the learner should be able to:
- Explain how division and multiplication are inverse operations.
- Use multiplication facts to check the accuracy of division answers.
- Appreciate learning to learn by relating new concepts to known facts.

In groups, learners are guided to:
- Team up with peers to carry out division and multiplication of the same numbers to establish a relationship between multiplication and division
- Check division answers by multiplying the quotient and divisor
- Jointly with peers, play games involving division using digital devices

How can you check whether your division answer is correct?

- Mathematics Grade 4 Learner's Book - Multiplication tables
- Number cards
- Counters
- Digital devices

- Oral questions - Written exercise

Numbers

Division - Application of division in real-life situations

By the end of the lesson, the learner should be able to:
- Identify real-life situations that require division.
- Solve word problems involving division of numbers in real-life situations.
- Appreciate the use of division in day-to-day life.

In groups, learners are guided to:
- Discuss real-life situations where division is applied e.g. sharing food or transport
- Solve word problems involving division of numbers such as sharing items among people or vehicles
- Present solutions to the class and discuss different methods used

How do we use division in our daily activities?

- Mathematics Grade 4 Learner's Book - Multiplication tables
- Number cards
- Counters

- Oral questions - Written assignment

Numbers

Division - Application of division in real-life situations

By the end of the lesson, the learner should be able to:
- Identify real-life situations that require division.
- Solve word problems involving division of numbers in real-life situations.
- Appreciate the use of division in day-to-day life.

In groups, learners are guided to:
- Discuss real-life situations where division is applied e.g. sharing food or transport
- Solve word problems involving division of numbers such as sharing items among people or vehicles
- Present solutions to the class and discuss different methods used

How do we use division in our daily activities?

- Mathematics Grade 4 Learner's Book - Multiplication tables
- Number cards
- Counters

- Oral questions - Written assignment

Numbers

Fractions - Identifying the numerator and denominator in a fraction

By the end of the lesson, the learner should be able to:
- Identify the numerator and denominator in a fraction.
- Name the top (numerator) and bottom (denominator) numbers in a given fraction.
- Appreciate application of fractions in real-life situations.

In groups, learners are guided to:
- Discuss the top (numerator) and bottom (denominator) numbers in a fraction and share with others
- Identify the numerator and denominator of fractions describing real-life situations e.g. sharing a cake or land
- Practice naming numerators and denominators of given fractions in pairs

When can you use fractions in real life?

- Mathematics Grade 4 Learner's Book - Equivalent fraction board
- Circular and rectangular cut-outs
- Counters
- Clock face

- Oral questions - Written exercise

Numbers

Fractions - Representing a fraction as part of a whole

By the end of the lesson, the learner should be able to:
- Identify a fraction as part of a whole with denominators not exceeding 12.
- Represent a fraction as part of a whole using cut-outs or a clock face.
- Appreciate application of fractions in real-life situations.

In groups, learners are guided to:
- Illustrate, in groups, fractions as part of a whole using cut-outs, counters or a clock face
- Shade parts of shapes to represent given fractions
- Discuss real-life examples of fractions as part of a whole e.g. a cake or an orange

How can you represent fractions?

- Mathematics Grade 4 Learner's Book - Equivalent fraction board
- Circular and rectangular cut-outs
- Counters
- Clock face

- Observation - Written exercise

Numbers

Fractions - Representing a fraction as part of a whole

By the end of the lesson, the learner should be able to:
- Identify a fraction as part of a whole with denominators not exceeding 12.
- Represent a fraction as part of a whole using cut-outs or a clock face.
- Appreciate application of fractions in real-life situations.

In groups, learners are guided to:
- Illustrate, in groups, fractions as part of a whole using cut-outs, counters or a clock face
- Shade parts of shapes to represent given fractions
- Discuss real-life examples of fractions as part of a whole e.g. a cake or an orange

How can you represent fractions?

- Mathematics Grade 4 Learner's Book - Equivalent fraction board
- Circular and rectangular cut-outs
- Counters
- Clock face

- Observation - Written exercise

Numbers

Fractions - Representing a fraction as part of a group

By the end of the lesson, the learner should be able to:
- Identify a fraction as part of a group with denominators not exceeding 12.
- Represent a fraction as part of a group of objects using counters.
- Appreciate application of fractions in real-life situations.

In groups, learners are guided to:
- Illustrate, in pairs/groups, fractions as part of a group using cut-outs or counters
- Represent fractions of a group of items such as fruits or pupils in class
- Share representations with other groups and discuss

How is a fraction of a group different from a fraction of a whole?

- Mathematics Grade 4 Learner's Book - Equivalent fraction board
- Circular and rectangular cut-outs
- Counters
- Clock face

- Observation - Oral questions

Numbers

Fractions - Types of fractions: proper, improper and mixed

By the end of the lesson, the learner should be able to:
- Identify proper, improper and mixed fractions.
- Classify given fractions as proper, improper or mixed.
- Appreciate the different types of fractions used in real life.

In groups, learners are guided to:
- Work out, in groups, proper, improper and mixed fractions as part of a whole or as part of a group using paper cut-outs or counters
- Sort given fractions into proper, improper and mixed categories
- Write three examples each of proper, improper and mixed fractions

How can you tell the type of a given fraction?

- Mathematics Grade 4 Learner's Book - Equivalent fraction board
- Circular and rectangular cut-outs
- Counters
- Clock face

- Written exercise - Oral questions

Numbers

Fractions - Converting improper fractions to mixed fractions

By the end of the lesson, the learner should be able to:
- Explain the steps followed in converting an improper fraction to a mixed fraction.
- Convert improper fractions to mixed fractions in different situations.
- Appreciate application of fractions in real-life situations.

In groups, learners are guided to:
- Discuss, in groups, the changing of improper fractions to mixed fractions
- Practice converting given improper fractions to mixed numbers
- Solve real-life problems requiring conversion of improper fractions

Why do we sometimes need to convert an improper fraction to a mixed number?

- Mathematics Grade 4 Learner's Book - Equivalent fraction board
- Circular and rectangular cut-outs
- Counters
- Clock face

- Oral questions - Written exercise

Numbers

Fractions - Converting mixed fractions into improper fractions

By the end of the lesson, the learner should be able to:
- Explain the steps followed in converting a mixed fraction to an improper fraction.
- Convert mixed numbers to improper fractions in different contexts.
- Appreciate application of fractions in real-life situations.

In groups, learners are guided to:
- Discuss, in groups, the changing of mixed fractions to improper fractions
- Team up with peers to play digital games involving fractions
- Practice converting given mixed fractions to improper fractions

How can you represent fractions in different forms?

- Mathematics Grade 4 Learner's Book - Equivalent fraction board
- Circular and rectangular cut-outs
- Counters
- Clock face
- Digital devices

- Written assignment - Observation

Numbers

Fractions - Converting mixed fractions into improper fractions

By the end of the lesson, the learner should be able to:
- Explain the steps followed in converting a mixed fraction to an improper fraction.
- Convert mixed numbers to improper fractions in different contexts.
- Appreciate application of fractions in real-life situations.

In groups, learners are guided to:
- Discuss, in groups, the changing of mixed fractions to improper fractions
- Team up with peers to play digital games involving fractions
- Practice converting given mixed fractions to improper fractions

How can you represent fractions in different forms?

- Mathematics Grade 4 Learner's Book - Equivalent fraction board
- Circular and rectangular cut-outs
- Counters
- Clock face
- Digital devices

- Written assignment - Observation

Numbers

Decimals - Identifying tenths

By the end of the lesson, the learner should be able to:
- Identify a tenth in real-life situations.
- Show a tenth using a 100 square grid or paper strips.
- Appreciate the use of decimals in real-life situations.

In groups, learners are guided to:
- Discuss where tenths are used in real-life situations
- Illustrate tenths using place value charts or other resources
- Shade a tenth of a given grid or paper strip

How can you use decimals in real-life situations?

- Mathematics Grade 4 Learner's Book - 100 square grid
- Rectangular paper strips
- Place value charts
- Number cards

- Oral questions - Observation

Numbers

Decimals - Identifying hundredths

By the end of the lesson, the learner should be able to:
- Identify a hundredth in real-life situations.
- Show a hundredth using a 100 square grid.
- Appreciate the use of decimals in real-life situations.

In groups, learners are guided to:
- Discuss where hundredths are used in real-life situations
- Illustrate hundredths using a 100 square grid
- Shade a hundredth of a given grid

How is a hundredth different from a tenth?

- Mathematics Grade 4 Learner's Book - 100 square grid
- Rectangular paper strips
- Place value charts
- Number cards

- Oral questions - Observation

Numbers

Decimals - Identifying hundredths

By the end of the lesson, the learner should be able to:
- Identify a hundredth in real-life situations.
- Show a hundredth using a 100 square grid.
- Appreciate the use of decimals in real-life situations.

In groups, learners are guided to:
- Discuss where hundredths are used in real-life situations
- Illustrate hundredths using a 100 square grid
- Shade a hundredth of a given grid

How is a hundredth different from a tenth?

- Mathematics Grade 4 Learner's Book - 100 square grid
- Rectangular paper strips
- Place value charts
- Number cards

- Oral questions - Observation

Numbers

Decimals - Representing tenths using decimal notation

By the end of the lesson, the learner should be able to:
- State the decimal notation of a tenth.
- Write tenths using decimal notation on a place value chart.
- Appreciate the use of decimals in real-life situations.

In groups, learners are guided to:
- Individually, write tenths using decimal notation on a place value chart
- Represent tenths using place value charts and reuse charts for other activities
- Convert given tenths from fraction form to decimal notation

Why do we use decimal notation to represent tenths?

- Mathematics Grade 4 Learner's Book - 100 square grid
- Rectangular paper strips
- Place value charts
- Number cards

- Written exercise - Oral questions

Numbers

Decimals - Representing hundredths using decimal notation

By the end of the lesson, the learner should be able to:
- State the decimal notation of a hundredth.
- Write hundredths using decimal notation on a place value chart.
- Appreciate the use of decimals in real-life situations.

In groups, learners are guided to:
- Individually, write hundredths using decimal notation on a place value chart
- Represent hundredths using place value charts and reuse charts for other activities
- Convert given hundredths from fraction form to decimal notation

Why do we use decimal notation to represent hundredths?

- Mathematics Grade 4 Learner's Book - 100 square grid
- Rectangular paper strips
- Place value charts
- Number cards

- Written exercise - Observation

Numbers

Decimals - Representing hundredths using decimal notation

By the end of the lesson, the learner should be able to:
- State the decimal notation of a hundredth.
- Write hundredths using decimal notation on a place value chart.
- Appreciate the use of decimals in real-life situations.

In groups, learners are guided to:
- Individually, write hundredths using decimal notation on a place value chart
- Represent hundredths using place value charts and reuse charts for other activities
- Convert given hundredths from fraction form to decimal notation

Why do we use decimal notation to represent hundredths?

- Mathematics Grade 4 Learner's Book - 100 square grid
- Rectangular paper strips
- Place value charts
- Number cards

- Written exercise - Observation

Numbers

Decimals - Place value of tenths

By the end of the lesson, the learner should be able to:
- Identify the place value of a tenth in a decimal number.
- State the place value of digits up to tenths in real-life situations.
- Appreciate the use of decimals in real-life situations.

In groups, learners are guided to:
- Illustrate the place value of tenths using place value charts
- Identify the place value of the digit after the decimal point in given numbers
- Practice writing decimal numbers on a place value chart in pairs

How do you identify the place value of a digit in a decimal number?

- Mathematics Grade 4 Learner's Book - 100 square grid
- Rectangular paper strips
- Place value charts
- Number cards

- Oral questions - Written exercise

Numbers

Decimals - Place value of digits up to hundredths

By the end of the lesson, the learner should be able to:
- Identify the place value of digits up to hundredths.
- State the place value of digits up to hundredths in real-life situations.
- Appreciate the use of decimals in real-life situations.

In groups, learners are guided to:
- Illustrate the place value of digits up to hundredths using place value charts
- Identify the place value of digits in numbers with two decimal places
- Solve real-life problems involving place value of decimals e.g. money

Why is understanding place value important when working with money?

- Mathematics Grade 4 Learner's Book - 100 square grid
- Rectangular paper strips
- Place value charts
- Number cards

- Written exercise - Oral questions

Numbers

Decimals - Ordering tenths from the smallest to the largest

By the end of the lesson, the learner should be able to:
- State the steps followed when ordering tenths from smallest to largest.
- Order decimals up to tenths from the smallest to the largest.
- Appreciate the use of decimals in real-life situations.

In groups, learners are guided to:
- Team up with peers to order given decimals in ascending order
- Arrange decimal number cards from smallest to largest
- Share ordered decimals with other groups

Why do we sometimes need to order decimal numbers?

- Mathematics Grade 4 Learner's Book - 100 square grid
- Rectangular paper strips
- Place value charts
- Number cards

- Observation - Written exercise

Numbers

Decimals - Ordering tenths from the smallest to the largest

By the end of the lesson, the learner should be able to:
- State the steps followed when ordering tenths from smallest to largest.
- Order decimals up to tenths from the smallest to the largest.
- Appreciate the use of decimals in real-life situations.

In groups, learners are guided to:
- Team up with peers to order given decimals in ascending order
- Arrange decimal number cards from smallest to largest
- Share ordered decimals with other groups

Why do we sometimes need to order decimal numbers?

- Mathematics Grade 4 Learner's Book - 100 square grid
- Rectangular paper strips
- Place value charts
- Number cards

- Observation - Written exercise

Numbers

Decimals - Ordering tenths from the largest to the smallest

By the end of the lesson, the learner should be able to:
- State the steps followed when ordering tenths from largest to smallest.
- Order decimals up to tenths from the largest to the smallest.
- Appreciate the use of decimals in real-life situations.

In groups, learners are guided to:
- Team up with peers to order given decimals in descending order
- Arrange decimal number cards from largest to smallest
- Jointly with peers, play digital games involving decimals

How can ordering decimals help us compare quantities?

- Mathematics Grade 4 Learner's Book - 100 square grid
- Rectangular paper strips
- Place value charts
- Number cards
- Digital devices

- Written exercise - Observation

Numbers

Decimals - Ordering hundredths from the smallest to the largest

By the end of the lesson, the learner should be able to:
- State the steps followed when ordering hundredths from smallest to largest.
- Order decimals up to hundredths from the smallest to the largest.
- Appreciate the use of decimals in real-life situations.

In groups, learners are guided to:
- Team up with peers to order given hundredths in ascending order
- Arrange decimal number cards showing hundredths from smallest to largest
- Solve real-life problems requiring ordering of hundredths e.g. prices

How can you compare two decimal numbers with hundredths?

- Mathematics Grade 4 Learner's Book - 100 square grid
- Rectangular paper strips
- Place value charts
- Number cards

- Oral questions - Written exercise

Numbers

Decimals - Ordering hundredths from the largest to the smallest

By the end of the lesson, the learner should be able to:
- State the steps followed when ordering hundredths from largest to smallest.
- Order decimals up to hundredths from the largest to the smallest.
- Appreciate the use of decimals in real-life situations.

In groups, learners are guided to:
- Team up with peers to order given hundredths in descending order
- Arrange decimal number cards showing hundredths from largest to smallest
- Jointly with peers, play digital games involving decimals

How can you use decimals to compare amounts of money?

- Mathematics Grade 4 Learner's Book - 100 square grid
- Rectangular paper strips
- Place value charts
- Number cards
- Digital devices

- Written assignment - Observation

Numbers

Use of Letters - Representing information using letters

By the end of the lesson, the learner should be able to:
- Explain how letters can be used to represent unknown values.
- Represent information from real-life situations using letters.
- Appreciate the use of expressions in real-life situations.

In groups, learners are guided to:
- Represent various items from diverse geographical locations using letters
- Discuss real-life situations where letters can represent unknown quantities
- Practice representing given quantities using letters in pairs

Why should we represent information using letters?

- Mathematics Grade 4 Learner's Book - Number cards
- Charts

- Oral questions - Written exercise

Numbers

Use of Letters - Representing information using letters

By the end of the lesson, the learner should be able to:
- Explain how letters can be used to represent unknown values.
- Represent information from real-life situations using letters.
- Appreciate the use of expressions in real-life situations.

In groups, learners are guided to:
- Represent various items from diverse geographical locations using letters
- Discuss real-life situations where letters can represent unknown quantities
- Practice representing given quantities using letters in pairs

Why should we represent information using letters?

- Mathematics Grade 4 Learner's Book - Number cards
- Charts

- Oral questions - Written exercise

Numbers

Use of Letters - Forming algebraic expressions involving addition

By the end of the lesson, the learner should be able to:
- State the steps followed when forming an expression involving addition.
- Form simple expressions involving addition to represent real-life situations.
- Appreciate the use of expressions in real-life situations.

In groups, learners are guided to:
- Team up with peers to form expressions involving addition to illustrate real-life situations
- Write algebraic expressions for word problems involving addition
- Share formed expressions with other groups

How can letters help us represent totals in real life?

- Mathematics Grade 4 Learner's Book - Number cards
- Charts

- Written exercise - Oral questions

Numbers

Use of Letters - Forming algebraic expressions involving addition

By the end of the lesson, the learner should be able to:
- State the steps followed when forming an expression involving addition.
- Form simple expressions involving addition to represent real-life situations.
- Appreciate the use of expressions in real-life situations.

In groups, learners are guided to:
- Team up with peers to form expressions involving addition to illustrate real-life situations
- Write algebraic expressions for word problems involving addition
- Share formed expressions with other groups

How can letters help us represent totals in real life?

- Mathematics Grade 4 Learner's Book - Number cards
- Charts

- Written exercise - Oral questions

Numbers

Use of Letters - Forming algebraic expressions involving subtraction

By the end of the lesson, the learner should be able to:
- State the steps followed when forming an expression involving subtraction.
- Form simple expressions involving subtraction to represent real-life situations.
- Appreciate the use of expressions in real-life situations.

In groups, learners are guided to:
- Team up with peers to form expressions involving subtraction to illustrate real-life situations
- Write algebraic expressions for word problems involving subtraction
- Work with peers to simplify expressions representing real-life situations

How can letters help us represent differences in real life?

- Mathematics Grade 4 Learner's Book - Number cards
- Charts

- Written exercise - Observation

Numbers

Use of Letters - Forming algebraic expressions involving multiplication

By the end of the lesson, the learner should be able to:
- State the steps followed when forming an expression involving multiplication.
- Form simple expressions involving multiplication to represent real-life situations.
- Appreciate the use of expressions in real-life situations.

In groups, learners are guided to:
- Team up with peers to form expressions involving multiplication to illustrate real-life situations
- Write algebraic expressions for word problems involving multiplication
- Share formed expressions with other groups

How can letters help us represent repeated quantities in real life?

- Mathematics Grade 4 Learner's Book - Number cards
- Charts

- Oral questions - Written exercise

Numbers

Use of Letters - Forming algebraic expressions involving division

By the end of the lesson, the learner should be able to:
- State the steps followed when forming an expression involving division.
- Form simple expressions involving division to represent real-life situations.
- Appreciate the use of expressions in real-life situations.

In groups, learners are guided to:
- Team up with peers to form expressions involving division to illustrate real-life situations
- Write algebraic expressions for word problems involving division
- Collaboratively play digital games involving expressions

How can letters help us represent shared quantities in real life?

- Mathematics Grade 4 Learner's Book - Number cards
- Charts
- Digital devices

- Written assignment - Oral questions

Numbers

Use of Letters - Forming algebraic expressions involving division

By the end of the lesson, the learner should be able to:
- State the steps followed when forming an expression involving division.
- Form simple expressions involving division to represent real-life situations.
- Appreciate the use of expressions in real-life situations.

In groups, learners are guided to:
- Team up with peers to form expressions involving division to illustrate real-life situations
- Write algebraic expressions for word problems involving division
- Collaboratively play digital games involving expressions

How can letters help us represent shared quantities in real life?

- Mathematics Grade 4 Learner's Book - Number cards
- Charts
- Digital devices

- Written assignment - Oral questions

Numbers

Use of Letters - Simplifying algebraic expressions

By the end of the lesson, the learner should be able to:
- Explain the meaning of simplifying an expression.
- Simplify expressions with up to two unknowns representing real-life situations.
- Appreciate the use of expressions in real-life situations.

In groups, learners are guided to:
- Work with peers to simplify expressions representing real-life situations
- Collect like terms to simplify given algebraic expressions
- Collaboratively play digital games involving expressions

Why should we simplify expressions before solving them?

- Mathematics Grade 4 Learner's Book - Number cards
- Charts
- Digital devices

- Oral questions - Written exercise