NUMBERS

Whole Numbers - Place value up to hundreds of millions
Whole Numbers - Total value of digits

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

- Identify place values of digits up to hundreds of millions.
- Write the place value of each digit in a given number.
- Appreciate the use of place values in real life situations.

In groups and individually, learners are guided to:
- Identify and write place values of digits using place value apparatus.
- Represent numbers in a place value chart.
- Write the place value of each digit in a number.
- Discuss real-life contexts where place values are used.

Why do we write numbers in symbols and/or words?

- Top Scholar Mathematics Grade 7 page 1.
- Place value charts.
- Number cards.
- Multiplication tables.
- Top Scholar Mathematics Grade 7 page 2.

- Oral questions. - Written exercise. - Observation. - Class activities.

NUMBERS

Whole Numbers - Total value of digits in real life
Whole Numbers - Reading and writing numbers in symbols

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

- Apply the concept of total value to solve real-life problems.
- Interpret the meaning of total value in different contexts.
- Show genuine interest in applying total value concepts to solve problems.

In groups and individually, learners are guided to:
- Solve real-life problems involving total value.
- Relate the concept of total value to money, measurement and other quantities.
- Discuss real-life scenarios where total value is applied.

Where do we use total value in daily life?

- Top Scholar Mathematics Grade 7 page 3.
- Number cards.
- Place value charts.
- Top Scholar Mathematics Grade 7 page 4.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Whole Numbers - Reading and writing numbers in words
Whole Numbers - Rounding off numbers to the nearest hundred thousands

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

- Read numbers in words up to millions.
- Write numbers in words up to millions.
- Appreciate the importance of correct number notation in words.

In groups and individually, learners are guided to:
- Practice writing numbers in words.
- Practice reading numbers in words.
- Fill out dummy cheques with amounts in words.
- Discuss contexts where writing numbers in words is important.

Where do we write numbers in words?

- Top Scholar Mathematics Grade 7 page 5.
- Number cards.
- Dummy cheques.
- Top Scholar Mathematics Grade 7 page 7.
- Place value charts.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Whole Numbers - Rounding off numbers to the nearest million
Whole Numbers - Rounding off numbers to the nearest tens of millions

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

- Round off numbers to the nearest million.
- Apply rounding rules consistently.
- Show interest in estimating answers through rounding off.

In groups and individually, learners are guided to:
- Identify digits in the hundred thousands place value.
- Apply rounding rules based on the identified digit.
- Practice rounding different numbers to the nearest million.
- Discuss contexts where rounding to millions is practical.

When is it useful to round off to the nearest million?

- Top Scholar Mathematics Grade 7 page 8.
- Place value charts.
- Number cards.
- Top Scholar Mathematics Grade 7 page 9.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Whole Numbers - Rounding off numbers to the nearest hundreds of millions

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

- Round off numbers to the nearest hundred million.
- Apply rounding rules consistently.
- Show interest in using rounded numbers in real-life situations.

In groups and individually, learners are guided to:
- Identify digits in the ten millions place value.
- Apply rounding rules based on the identified digit.
- Practice rounding to the nearest hundred million.
- Relate rounding to real life contexts involving large numbers.

Where do we apply rounding off to hundreds of millions?

- Top Scholar Mathematics Grade 7 page 10.
- Place value charts.
- Number cards.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Whole Numbers - Even and odd numbers
Whole Numbers - Prime numbers

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

- Identify even and odd numbers.
- Classify natural numbers as even or odd.
- Appreciate the patterns formed by even and odd numbers.

In groups and individually, learners are guided to:
- Use number cards to identify even and odd numbers.
- Sort numbers as even or odd.
- Discuss the divisibility properties of even and odd numbers.
- Play number games involving even and odd numbers.

What makes a number even or odd?

- Top Scholar Mathematics Grade 7 page 11.
- Number cards.
- Number charts.
- Top Scholar Mathematics Grade 7 page 12.
- Factor charts.

- Written exercise. - Oral questions. - Observation. - Class activities.

NUMBERS

Whole Numbers - Operations of whole numbers
Whole Numbers - Operations of whole numbers in real life situations

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

- Perform basic operations on whole numbers.
- Apply the correct order of operations in evaluating expressions.
- Develop confidence in solving mathematical operations.

In groups and individually, learners are guided to:
- Perform addition, subtraction, multiplication, and division of whole numbers.
- Use digital devices to evaluate expressions.
- Apply order of operations (BODMAS) in evaluating expressions.
- Discuss the importance of order in mathematical operations.

Why do we follow a specific order when solving operations?

- Top Scholar Mathematics Grade 7 page 13.
- Calculators.
- Number cards.
- Top Scholar Mathematics Grade 7 page 14.
- Word problem cards.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Whole Numbers - Number sequences involving addition and subtraction
Whole Numbers - Number sequences involving multiplication and division

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

- Identify patterns in number sequences.
- Find the rule in sequences involving addition and subtraction.
- Appreciate patterns in mathematics.

In groups and individually, learners are guided to:
- Identify patterns in given number sequences.
- Determine the rule used to generate sequences.
- Find missing numbers in sequences.
- Create their own number sequences using addition or subtraction.

What pattern does the sequence follow?

- Top Scholar Mathematics Grade 7 page 15.
- Number cards.
- Sequence charts.
- Top Scholar Mathematics Grade 7 page 16.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Whole Numbers - Creating number sequences
Factors - Divisibility test for 2, 3 and 6

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

- Create number sequences using given rules.
- Complete number sequences by applying identified patterns.
- Show creativity in designing number sequence puzzles.

In groups and individually, learners are guided to:
- Create number sequences using given rules.
- Design number sequence games and puzzles.
- Share and solve each other's sequence puzzles.
- Discuss the application of sequences in real life.

How can we create our own number sequences?

- Top Scholar Mathematics Grade 7 page 17.
- Number cards.
- Paper cut-outs.
- Top Scholar Mathematics Grade 7 page 24.
- Multiplication tables.

- Written exercise. - Oral questions. - Project work. - Class activities.

NUMBERS

Factors - Divisibility test for 4 and 8
Factors - Divisibility test for 5, 9 and 10

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

- Apply divisibility tests for 4 and 8.
- Identify numbers divisible by 4 and 8.
- Develop confidence in applying divisibility tests.

In groups and individually, learners are guided to:
- Apply divisibility test for 4 (last two digits form a number divisible by 4).
- Apply divisibility test for 8 (last three digits form a number divisible by 8).
- Practice identifying numbers divisible by 4 and 8.
- Discuss real-life applications of these divisibility tests.

How do we test divisibility of numbers by 4 and 8?

- Top Scholar Mathematics Grade 7 page 27.
- Number cards.
- Multiplication tables.
- Top Scholar Mathematics Grade 7 page 28.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Factors - Divisibility test for 11

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

- Apply the divisibility test for 11.
- Identify numbers divisible by 11.
- Show enthusiasm in applying divisibility tests in problem-solving.

In groups and individually, learners are guided to:
- Apply divisibility test for 11 (difference between sum of digits in alternate places is 0 or divisible by 11).
- Practice identifying numbers divisible by 11.
- Solve problems using this divisibility test.
- Create and solve puzzles involving divisibility by 11.

How do we test divisibility of numbers by 11?

- Top Scholar Mathematics Grade 7 page 32.
- Number cards.
- Multiplication tables.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Factors - Expressing numbers as product of prime factors
Factors - Greatest Common Divisor (GCD)

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

- Express composite numbers as products of prime factors.
- Use factor trees or factor rainbows to find prime factors.
- Appreciate the uniqueness of prime factorization.

In groups and individually, learners are guided to:
- Use factor trees to find prime factors of numbers.
- Express numbers as products of their prime factors.
- Compare different ways of finding prime factors.
- Discuss the fundamental theorem of arithmetic.

How do we express composite numbers as products of prime factors?

- Top Scholar Mathematics Grade 7 page 33.
- Number cards.
- Factor charts.
- Top Scholar Mathematics Grade 7 page 34.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Factors - Least Common Multiple (LCM)
Factors - Application of GCD and LCM

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

- Find the LCM of two or more numbers using multiples.
- Apply the LCM in solving real-life problems.
- Develop confidence in solving problems involving LCM.

In groups and individually, learners are guided to:
- List multiples of given numbers.
- Identify common multiples.
- Find the lowest common multiple (LCM).
- Apply LCM to solve real-life problems.

What is the LCM and how do we use it?

- Top Scholar Mathematics Grade 7 page 35.
- Number cards.
- Multiple charts.
- Top Scholar Mathematics Grade 7 page 38.
- Word problem cards.
- Containers of different capacities.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Fractions - Comparing fractions
Fractions - Arranging fractions in ascending and descending order

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

- Compare fractions with the same denominator.
- Compare fractions with different denominators.
- Show interest in comparing quantities expressed as fractions.

In groups and individually, learners are guided to:
- Compare fractions with the same denominator.
- Express fractions with different denominators using a common denominator.
- Compare fractions with different denominators.
- Play fraction comparison games using number cards.

How do we compare fractions?

- Top Scholar Mathematics Grade 7 page 40.
- Fraction cards.
- Number cards.
- Cut-outs.
- Top Scholar Mathematics Grade 7 page 42.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Fractions - Adding fractions
Fractions - Subtracting fractions

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

- Add fractions with the same denominator.
- Add fractions with different denominators.
- Show interest in using fractions to solve problems.

In groups and individually, learners are guided to:
- Add fractions with the same denominator.
- Find LCM of denominators.
- Express fractions with a common denominator before addition.
- Solve real-life problems involving addition of fractions.

How do we add fractions with different denominators?

- Top Scholar Mathematics Grade 7 page 45.
- Fraction cards.
- Paper cut-outs.
- Circular models.
- Top Scholar Mathematics Grade 7 page 47.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Fractions - Multiplying fractions

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

- Multiply a fraction by a whole number.
- Multiply a fraction by another fraction.
- Show interest in using multiplication of fractions in real-life.

In groups and individually, learners are guided to:
- Multiply fractions by whole numbers.
- Multiply fractions by fractions.
- Simplify answers where possible.
- Solve real-life problems involving multiplication of fractions.

How do we multiply fractions?

- Top Scholar Mathematics Grade 7 page 49.
- Fraction cards.
- Rectangular cut-outs.
- Grid paper.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Fractions - Reciprocal of fractions
Fractions - Dividing fractions

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

- Find the reciprocal of a fraction.
- Understand that the product of a fraction and its reciprocal is 1.
- Appreciate the concept of reciprocals in mathematics.

In groups and individually, learners are guided to:
- Find reciprocals by interchanging numerator and denominator.
- Verify that the product of a fraction and its reciprocal is 1.
- Practice finding reciprocals of various fractions.
- Discuss applications of reciprocals.

What is a reciprocal of a fraction?

- Top Scholar Mathematics Grade 7 page 51.
- Fraction cards.
- Number cards.
- Top Scholar Mathematics Grade 7 page 52.
- Cut-outs.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Fractions - Sequence of fractions
Decimals - Place value and total value of decimals

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

- Identify patterns in sequences of fractions.
- Find the rule in fraction sequences.
- Show creativity in creating and solving fraction sequence puzzles.

In groups and individually, learners are guided to:
- Identify patterns in the numerators and denominators.
- Find rules used to generate fraction sequences.
- Find missing fractions in sequences.
- Create their own fraction sequences.

How do we identify patterns in fraction sequences?

- Top Scholar Mathematics Grade 7 page 54.
- Fraction cards.
- Sequence charts.
- Top Scholar Mathematics Grade 7 page 56.
- Decimal place value charts.
- Number cards.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Decimals - Addition and subtraction of decimals
Decimals - Multiplication of decimals

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

- Add decimal numbers.
- Subtract decimal numbers.
- Show interest in using decimals in real-life calculations.

In groups and individually, learners are guided to:
- Align decimal points when adding.
- Align decimal points when subtracting.
- Solve word problems involving addition and subtraction of decimals.
- Discuss real-life applications of decimal operations.

How do we add and subtract decimal numbers?

- Top Scholar Mathematics Grade 7 page 58.
- Decimal number cards.
- Calculators.
- Top Scholar Mathematics Grade 7 page 59.
- Cut-outs.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Decimals - Division of decimals
Squares and Square Roots - Squares of whole numbers

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

- Divide decimals by whole numbers.
- Divide decimals by decimals.
- Show interest in using division of decimals in real-life problems.

In groups and individually, learners are guided to:
- Divide decimals by whole numbers.
- Convert division by a decimal to division by a whole number.
- Solve word problems involving division of decimals.
- Use calculators to verify answers.

How do we divide decimal numbers?

- Top Scholar Mathematics Grade 7 page 61.
- Decimal number cards.
- Calculators.
- Top Scholar Mathematics Grade 7 page 65.
- Grid paper.
- Number cards.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Squares and Square Roots - Squares of fractions
Squares and Square Roots - Squares of decimals

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

- Find squares of fractions.
- Use calculators to find squares of fractions.
- Show interest in applying squares of fractions in problem-solving.

In groups and individually, learners are guided to:
- Square fractions by multiplying numerator and denominator separately.
- Use calculators to find squares of fractions.
- Solve problems involving squares of fractions.
- Relate squares of fractions to areas.

How do we find the square of a fraction?

- Top Scholar Mathematics Grade 7 page 66.
- Fraction cards.
- Calculators.
- Top Scholar Mathematics Grade 7 page 67.
- Decimal number cards.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Squares and Square Roots - Square roots of whole numbers

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

- Find square roots of perfect squares using prime factorization.
- Find square roots of whole numbers using division method.
- Appreciate the relationship between squares and square roots.

In groups and individually, learners are guided to:
- Use prime factorization to find square roots.
- Use division method to find square roots.
- Use calculators to verify answers.
- Solve problems involving square roots.

How do we find the square root of a whole number?

- Top Scholar Mathematics Grade 7 page 68.
- Calculators.
- Number cards.

- Written exercise. - Oral questions. - Class activities.

NUMBERS

Squares and Square Roots - Square roots of fractions
Squares and Square Roots - Square roots of decimals

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

- Find square roots of fractions.
- Use calculators to find square roots of fractions.
- Show interest in solving problems involving square roots of fractions.

In groups and individually, learners are guided to:
- Find square roots of numerators and denominators separately.
- Use calculators to find square roots of fractions.
- Solve problems involving square roots of fractions.
- Discuss applications of square roots of fractions.

How do we find the square root of a fraction?

- Top Scholar Mathematics Grade 7 page 71.
- Fraction cards.
- Calculators.
- Top Scholar Mathematics Grade 7 page 72.
- Decimal number cards.

- Written exercise. - Oral questions. - Class activities.

ALGEBRA

Algebraic Expressions - Formation of algebraic expressions from real life situations
Algebraic Expressions - Formation of algebraic expressions from simple algebraic statements

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

- Form algebraic expressions from real life situations.
- Use variables to represent unknown quantities.
- Appreciate the use of algebraic expressions in real life.

In groups and individually, learners are guided to:
- Discuss and classify objects according to given attributes.
- Form algebraic expressions from classified objects.
- Share their expressions with other groups.
- Relate algebraic expressions to real-life scenarios.

How do we use algebraic expressions in daily activities?

- Top Scholar Mathematics Grade 7 page 77.
- Objects of different shapes and sizes.
- Number cards.
- Top Scholar Mathematics Grade 7 page 78.
- Word problem cards.
- IT devices.

- Written exercise. - Oral questions. - Class activities.

ALGEBRA

Algebraic Expressions - Formation of algebraic expressions from simple algebraic statements involving multiplication and division
Algebraic Expressions - Simplification of algebraic expressions

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

- Form algebraic expressions involving multiplication and division.
- Translate real-life scenarios into algebraic expressions.
- Show genuine interest in forming algebraic expressions.

In groups and individually, learners are guided to:
- Form expressions involving multiplication and division.
- Translate word problems into algebraic expressions.
- Share their expressions with other groups.
- Discuss real-life applications of such expressions.

How do we form algebraic expressions involving multiplication and division?

- Top Scholar Mathematics Grade 7 page 79.
- Word problem cards.
- IT devices.
- Top Scholar Mathematics Grade 7 page 81.
- Algebra tiles.
- Algebraic expression cards.

- Written exercise. - Oral questions. - Class activities.

ALGEBRA

Linear Equations - Formation of linear equations in one unknown
Linear Equations - Solving linear equations in one unknown

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

- Form linear equations in one unknown from given situations.
- Translate word problems into linear equations.
- Show interest in using equations to model real-life problems.

In groups and individually, learners are guided to:
- Role-play activities involving equations (e.g., using beam balance).
- Form linear equations from word problems.
- Discuss how to translate real-life scenarios into equations.
- Use IT to form and solve linear equations.

How do we form linear equations from real-life situations?

- Top Scholar Mathematics Grade 7 page 84.
- Beam balance.
- Objects for weighing.
- Word problem cards.
- Top Scholar Mathematics Grade 7 page 85.
- IT devices.
- Equation cards.

- Written exercise. - Oral questions. - Class activities.

ALGEBRA

Linear Equations - Applications of linear equations

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

- Apply linear equations to solve real-life problems.
- Formulate and solve equations from word problems.
- Show interest in using equations as problem-solving tools.

In groups and individually, learners are guided to:
- Translate word problems into equations.
- Solve equations and interpret solutions.
- Create their own word problems.
- Discuss real-life applications of linear equations.

How do we use linear equations in real life?

- Top Scholar Mathematics Grade 7 page 87.
- Word problem cards.
- IT devices.

- Written exercise. - Oral questions. - Project work. - Class activities.

ALGEBRA

Linear Inequalities - Applying inequality symbols to inequality statements
Linear Inequalities - Forming simple linear inequalities in one unknown

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

- Recognize inequality symbols (<, >, ≤, ≥).
- Apply inequality symbols to statements.
- Appreciate the role of inequalities in real life.

In groups and individually, learners are guided to:
- Make paper cut-outs with inequality symbols.
- Complete simple inequality statements using correct symbols.
- Compare pairs of numbers using inequality symbols.
- Relate inequalities to real-life scenarios.

How do we use inequality symbols?

- Top Scholar Mathematics Grade 7 page 90.
- Paper cut-outs with inequality symbols.
- Number cards.
- Top Scholar Mathematics Grade 7 page 91.
- Inequality cards.
- Word problem cards.

- Written exercise. - Oral questions. - Class activities.

ALGEBRA

Linear Inequalities - Illustrating simple inequalities on a number line
Linear Inequalities - Forming compound inequality statements in one unknown

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

- Represent inequalities on a number line.
- Interpret inequalities from number line representations.
- Develop confidence in working with inequalities.

In groups and individually, learners are guided to:
- Draw number lines.
- Represent simple inequalities on number lines.
- Interpret inequalities from given number line representations.
- Discuss the difference between representing < and ≤ on a number line.

How do we represent inequalities on a number line?

- Top Scholar Mathematics Grade 7 page 92.
- Number lines.
- Inequality cards.
- Top Scholar Mathematics Grade 7 page 94.
- Number cards.
- Word problem cards.

- Written exercise. - Oral questions. - Class activities.

ALGEBRA
MEASUREMENTS

Linear Inequalities - Illustrating compound inequalities on a number line
Pythagorean Relationship - Recognizing sides of a right-angled triangle

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

- Represent compound inequalities on a number line.
- Interpret compound inequalities from number line representations.
- Develop confidence in working with compound inequalities.

In groups and individually, learners are guided to:
- Draw number lines.
- Represent compound inequalities on number lines.
- Interpret compound inequalities from given number line representations.
- Use IT to visualize compound inequalities.

How do we represent compound inequalities on a number line?

- Top Scholar Mathematics Grade 7 page 95.
- Number lines.
- Inequality cards.
- IT devices.
- Top Scholar Mathematics Grade 7 page 97.
- Right-angled triangles cut-outs.
- Ruler and protractor.
- Grid paper.

- Written exercise. - Oral questions. - Class activities.

MEASUREMENTS

Pythagorean Relationship - Identifying Pythagorean relationship
Pythagorean Relationship - Applying Pythagorean relationship

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

- Identify the Pythagorean relationship (a² + b² = c²).
- Verify the relationship using square models.
- Show interest in exploring mathematical relationships.

In groups and individually, learners are guided to:
- Count squares on different sides of a right-angled triangle.
- Establish the Pythagorean relationship through observation.
- Verify the relationship using different right-angled triangles.
- Create Pythagorean relationship puzzles.

What is the Pythagorean relationship?

- Top Scholar Mathematics Grade 7 page 98.
- Square grid paper.
- Right-angled triangles of different sizes.
- IT devices.
- Top Scholar Mathematics Grade 7 page 100.
- Word problem cards.
- Calculators.

- Written exercise. - Oral questions. - Class activities.

MEASUREMENTS

Length - Converting units of length
Length - Addition and subtraction involving units of length

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

- Convert between different units of length.
- Apply conversion factors correctly.
- Appreciate the importance of standard units of measurement.

In groups and individually, learners are guided to:
- Generate conversion tables for units of length.
- Practice converting between different units.
- Discuss the relationship between different units.
- Watch videos on correct procedures for measuring length.

Why do we use different units of measuring length?

- Top Scholar Mathematics Grade 7 page 102.
- Metre rules.
- Tape measures.
- Conversion charts.
- Top Scholar Mathematics Grade 7 page 103.
- Objects of different lengths.

- Written exercise. - Oral questions. - Class activities.

MEASUREMENTS

Length - Multiplication and division involving units of length

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

- Multiply measurements of length.
- Divide measurements of length.
- Develop confidence in performing calculations with measurements.

In groups and individually, learners are guided to:
- Multiply measurements by whole numbers.
- Divide measurements by whole numbers.
- Solve word problems involving multiplication and division of length.
- Measure objects and perform calculations.

How do we multiply and divide measurements of length?

- Top Scholar Mathematics Grade 7 page 105.
- Metre rules.
- Tape measures.
- Objects of different lengths.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

MEASUREMENTS

Length - Perimeter of plane figures
Length - Circumference of circles

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

- Measure the perimeter of plane figures.
- Calculate the perimeter of different shapes.
- Show interest in finding perimeters of objects.

In groups and individually, learners are guided to:
- Measure the perimeter of various shapes.
- Calculate perimeters using formulas.
- Solve problems involving perimeters.
- Measure perimeters of real objects in the environment.

How do we measure the perimeter of different objects?

- Top Scholar Mathematics Grade 7 page 107.
- Ruler and measuring tape.
- Cut-outs of plane figures.
- Objects with different shapes.
- Top Scholar Mathematics Grade 7 page 108.
- Circular objects.
- String.
- Rulers.
- Pair of compasses.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

MEASUREMENTS

Area - Units of area
Area - Area of a rectangle

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

- Identify square metre, acre, and hectare as units of area.
- Convert between different units of area.
- Appreciate the use of appropriate units for different contexts.

In groups and individually, learners are guided to:
- Make a square of side 1 metre and find its area.
- Generate conversion tables for units of area.
- Practice converting between different units.
- Discuss contexts where different units are appropriate.

What are the standard units for measuring area?

- Top Scholar Mathematics Grade 7 page 112.
- Square metre model.
- Conversion charts.
- Area photos/diagrams.
- Top Scholar Mathematics Grade 7 page 113.
- Grid paper.
- Rulers.
- Rectangular objects.

- Written exercise. - Oral questions. - Class activities.

MEASUREMENTS

Area - Area of a parallelogram
Area - Area of a rhombus

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

- Calculate the area of parallelograms.
- Apply the formula for area of parallelograms.
- Develop confidence in finding areas of different shapes.

In groups and individually, learners are guided to:
- Use cut-outs to transform parallelograms into rectangles.
- Derive the formula for area of parallelograms.
- Calculate areas using the formula (base × height).
- Solve problems involving parallelogram areas.

How do we calculate the area of a parallelogram?

- Top Scholar Mathematics Grade 7 page 115.
- Paper cut-outs.
- Grid paper.
- Rulers.
- Top Scholar Mathematics Grade 7 page 118.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

MEASUREMENTS

Area - Area of a trapezium
Area - Area of a circle

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

- Calculate the area of trapeziums.
- Apply the formula for area of trapeziums.
- Appreciate the relationship between triangles and trapeziums.

In groups and individually, learners are guided to:
- Cut trapeziums into triangles to explore area.
- Derive the formula for area of trapeziums.
- Calculate areas using the formula (½ × h × (a+b)).
- Solve problems involving trapezium areas.

How do we calculate the area of a trapezium?

- Top Scholar Mathematics Grade 7 page 120.
- Paper cut-outs.
- Grid paper.
- Rulers.
- Top Scholar Mathematics Grade 7 page 122.
- Circular cut-outs.
- Pair of compasses.
- Scissors.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

MEASUREMENTS

Area - Area of borders

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

- Calculate the area of borders between two shapes.
- Apply appropriate formulas for different shapes.
- Develop confidence in solving complex area problems.

In groups and individually, learners are guided to:
- Identify borders between two shapes.
- Calculate the area of borders by subtraction.
- Solve problems involving borders of different shapes.
- Apply the concept to real-life scenarios.

How do we calculate the area of a border?

- Top Scholar Mathematics Grade 7 page 124.
- Cut-outs of shapes with borders.
- Grid paper.
- Rulers.

- Written exercise. - Oral questions. - Class activities.

MEASUREMENTS

Area - Area of combined shapes
Volume and Capacity - Metre cube as a unit of volume

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

- Calculate areas of combined shapes.
- Apply appropriate formulas for different components.
- Show interest in solving complex area problems.

In groups and individually, learners are guided to:
- Break down combined shapes into simpler shapes.
- Calculate the area of each component shape.
- Find the total area by addition.
- Solve problems involving combined shapes.

How do we calculate the area of combined shapes?

- Top Scholar Mathematics Grade 7 page 125.
- Cut-outs of combined shapes.
- Grid paper.
- Rulers.
- Top Scholar Mathematics Grade 7 page 127.
- Cubic metre model.
- Cartons.
- Measuring tape.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

MEASUREMENTS

Volume and Capacity - Converting units of volume
Volume and Capacity - Volume of cubes

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

- Convert between cubic metres and cubic centimetres.
- Apply conversion factors correctly.
- Show interest in working with different units of volume.

In groups and individually, learners are guided to:
- Understand the relationship between m³ and cm³.
- Practice converting between different units.
- Solve problems involving conversion of units.
- Discuss contexts where different units are appropriate.

How do we convert between cubic metres and cubic centimetres?

- Top Scholar Mathematics Grade 7 page 128.
- Conversion charts.
- Cubic models.
- Calculators.
- Top Scholar Mathematics Grade 7 page 130.
- Cube models.
- Measuring tools.

- Written exercise. - Oral questions. - Class activities.

MEASUREMENTS

Volume and Capacity - Volume of cuboids
Volume and Capacity - Volume of cylinders

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

- Calculate the volume of cuboids.
- Apply the formula for volume of cuboids.
- Show interest in finding volumes of cuboid objects.

In groups and individually, learners are guided to:
- Make models of cuboids using locally available materials.
- Calculate volumes using the formula (L × B × H).
- Solve problems involving volumes of cuboids.
- Measure real objects and calculate their volumes.

How do we calculate the volume of a cuboid?

- Top Scholar Mathematics Grade 7 page 131.
- Cuboid models.
- Measuring tools.
- Calculators.
- Top Scholar Mathematics Grade 7 page 132.
- Cylinder models.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

MEASUREMENTS

Volume and Capacity - Relationship between cubic units and litres
Volume and Capacity - Working out capacity of containers

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

- Relate cubic centimetres and cubic metres to litres.
- Convert between volume units and capacity units.
- Appreciate the connection between volume and capacity.

In groups and individually, learners are guided to:
- Understand that 1 cm³ = 1 mL and 1 L = 1000 cm³.
- Convert between cubic units and litres.
- Collect containers with different capacities and relate to volume.
- Solve problems involving volume and capacity.

What is the relationship between cubic centimetres and litres?

- Top Scholar Mathematics Grade 7 page 133.
- Containers of different volumes.
- Conversion charts.
- Measuring cylinders.
- Top Scholar Mathematics Grade 7 page 134.
- Containers of different shapes.
- Calculators.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

MEASUREMENTS

Time, Distance and Speed - Units of measuring time
Time, Distance and Speed - Converting units of time

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

- Identify units of measuring time.
- Tell time using analog and digital clocks.
- Appreciate the importance of time management.

In groups and individually, learners are guided to:
- Use analog and digital clocks to tell time.
- Discuss the units of time (seconds, minutes, hours, etc.).
- Practice reading time from different clock faces.
- Discuss the importance of punctuality.

What units do we use to measure time?

- Top Scholar Mathematics Grade 7 page 136.
- Analog and digital clocks.
- Time conversion charts.
- Stop watches.
- Top Scholar Mathematics Grade 7 page 137.
- Clocks.
- Calculators.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

MEASUREMENTS

Time, Distance and Speed - Converting units of distance

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

- Convert between different units of distance.
- Apply conversion factors correctly.
- Develop confidence in working with distance measurements.

In groups and individually, learners are guided to:
- Understand relationships between distance units.
- Convert kilometres to metres and vice versa.
- Estimate distances between different locations.
- Solve problems involving distance conversions.

How do we convert between different units of distance?

- Top Scholar Mathematics Grade 7 page 139.
- Distance conversion charts.
- Measuring tapes.
- Maps with scales.

- Written exercise. - Oral questions. - Class activities.

MEASUREMENTS

Time, Distance and Speed - Speed as distance covered per unit time
Time, Distance and Speed - Speed in km/h

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

- Define speed as distance covered per unit time.
- Calculate speed given distance and time.
- Appreciate the concept of speed in daily life.

In groups and individually, learners are guided to:
- Participate in activities involving distance and time.
- Calculate speed using the formula (distance ÷ time).
- Discuss real-life examples of speed.
- Solve problems involving speed calculations.

What is speed?

- Top Scholar Mathematics Grade 7 page 140.
- Stop watches.
- Measuring tapes.
- Calculators.
- Top Scholar Mathematics Grade 7 page 142.
- Speed charts.
- Word problem cards.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

MEASUREMENTS

Time, Distance and Speed - Speed in m/s
Time, Distance and Speed - Converting units of speed

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

- Calculate speed in metres per second.
- Solve problems involving speed in m/s.
- Develop confidence in working with different units of speed.

In groups and individually, learners are guided to:
- Calculate speed in m/s using the formula.
- Participate in activities to measure speed in m/s.
- Solve word problems involving speed in m/s.
- Discuss contexts where m/s is an appropriate unit.

How do we calculate speed in metres per second?

- Top Scholar Mathematics Grade 7 page 143.
- Stop watches.
- Measuring tapes.
- Calculators.
- Top Scholar Mathematics Grade 7 page 144.
- Speed conversion charts.
- Word problem cards.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

MEASUREMENTS

Temperature - Describing and comparing temperature
Temperature - Units of measuring temperature

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

- Describe temperature conditions as warm, hot, or cold.
- Compare temperatures using comparative terms.
- Appreciate the role of temperature in daily life.

In groups and individually, learners are guided to:
- Observe and describe temperature conditions.
- Compare temperatures using terms like hotter, colder, warmer.
- Touch various objects to compare temperatures.
- Discuss how temperature affects daily activities.

How does temperature affect our everyday lives?

- Top Scholar Mathematics Grade 7 page 147.
- Thermometers.
- Objects of different temperatures.
- Weather charts.
- Top Scholar Mathematics Grade 7 page 148.
- Temperature conversion charts.
- IT devices for temperature readings.

- Written exercise. - Oral questions. - Class activities. - Observation.

MEASUREMENTS

Temperature - Converting units of temperature
Temperature - Working out temperature

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

- Convert between degrees Celsius and Kelvin.
- Apply the conversion formula correctly.
- Develop confidence in working with temperature units.

In groups and individually, learners are guided to:
- Understand the relationship between °C and K.
- Convert temperatures from °C to K.
- Convert temperatures from K to °C.
- Solve problems involving temperature conversions.

What is the relationship between degrees Celsius and Kelvin?

- Top Scholar Mathematics Grade 7 page 149.
- Temperature conversion charts.
- Calculators.
- Thermometers.
- Top Scholar Mathematics Grade 7 page 150.
- IT devices.

- Written exercise. - Oral questions. - Class activities.

MEASUREMENTS

Money - Profit and loss
Money - Percentage profit and loss

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

- Calculate profit and loss.
- Distinguish between profit and loss scenarios.
- Show interest in financial literacy.

In groups and individually, learners are guided to:
- Role-play shopping activities.
- Calculate profit as (SP - BP).
- Calculate loss as (BP - SP).
- Solve word problems involving profit and loss.

Why do we need to understand profit and loss?

- Top Scholar Mathematics Grade 7 page 152.
- Play money.
- Price tags.
- Calculators.
- Top Scholar Mathematics Grade 7 page 154.
- Word problem cards.

- Written exercise. - Oral questions. - Class activities. - Role play assessment.

MEASUREMENTS

Money - Discount

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

- Calculate discount on goods and services.
- Find the selling price after discount.
- Show interest in consumer economics.

In groups and individually, learners are guided to:
- Role-play shopping with discounts.
- Calculate discount as (MP - SP).
- Find selling price after discount.
- Solve word problems involving discounts.

What is a discount?

- Top Scholar Mathematics Grade 7 page 156.
- Price tags with discounts.
- Calculators.
- Play money.

- Written exercise. - Oral questions. - Class activities. - Role play assessment.

MEASUREMENTS

Money - Percentage discount
Money - Commission

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

- Calculate percentage discount.
- Find selling price after percentage discount.
- Develop confidence in financial calculations.

In groups and individually, learners are guided to:
- Calculate percentage discount using the formula.
- Find selling price after percentage discount.
- Solve word problems involving percentage discounts.
- Discuss real-life examples of percentage discounts.

How do we calculate percentage discount?

- Top Scholar Mathematics Grade 7 page 158.
- Calculators.
- Price tags with percentage discounts.
- Word problem cards.
- Top Scholar Mathematics Grade 7 page 160.
- Commission rate cards.

- Written exercise. - Oral questions. - Class activities.

MEASUREMENTS

Money - Percentage commission
Money - Interpreting bills

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

- Calculate percentage commission.
- Apply percentage commission rates.
- Show interest in business transactions.

In groups and individually, learners are guided to:
- Calculate percentage commission using the formula.
- Find commission amounts for different sales values.
- Solve word problems involving percentage commission.
- Create and solve their own commission problems.

How do we calculate percentage commission?

- Top Scholar Mathematics Grade 7 page 162.
- Calculators.
- Commission percentage cards.
- Word problem cards.
- Top Scholar Mathematics Grade 7 page 164.
- Sample bills and receipts.
- Shopping receipts.

- Written exercise. - Oral questions. - Class activities.

MEASUREMENTS

Money - Preparing bills
Money - Postal charges

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

- Prepare bills for goods and services.
- Include all necessary components in a bill.
- Show interest in accurate billing practices.

In groups and individually, learners are guided to:
- Identify components needed in a bill.
- Prepare bills for different transactions.
- Calculate totals and taxes where applicable.
- Role-play transactions involving billing.

How do we prepare accurate bills?

- Top Scholar Mathematics Grade 7 page 166.
- Bill templates.
- Calculators.
- Price lists.
- Top Scholar Mathematics Grade 7 page 168.
- Postal rate charts.
- Sample mailing items.

- Written exercise. - Oral questions. - Class activities. - Practical assessment.

MEASUREMENTS

Money - Mobile money services
Money - Mobile money transactions

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

- Identify different mobile money services.
- Understand the benefits of mobile money.
- Show interest in digital financial services.

In groups and individually, learners are guided to:
- Discuss different mobile money services.
- Identify features of mobile money platforms.
- Compare mobile money services with traditional banking.
- Discuss the impact of mobile money on society.

What mobile money services are available?

- Top Scholar Mathematics Grade 7 page 170.
- Mobile money service charts.
- Transaction flow diagrams.
- IT devices.
- Top Scholar Mathematics Grade 7 page 172.
- Mobile money tariff charts.
- Calculators.
- Transaction scenarios.

- Written exercise. - Oral questions. - Class activities. - Project work.

MEASUREMENTS

Money - Using IT for money transactions

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

- Understand the role of technology in financial transactions.
- Identify different digital payment platforms.
- Appreciate the benefits and risks of digital transactions.

In groups and individually, learners are guided to:
- Discuss different digital payment platforms.
- Explore how IT devices are used for transactions.
- Research online banking and payment systems.
- Discuss security measures for digital transactions.

How has technology changed money transactions?

- Top Scholar Mathematics Grade 7 page 173.
- Digital payment platform information.
- IT devices.
- Transaction flow diagrams.

- Written exercise. - Oral questions. - Class activities. - Project work.