NUMBERS

Whole Numbers - Place value up to hundreds of millions

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.

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

NUMBERS

Whole Numbers - Total value of digits
Whole Numbers - Total value of digits in real life

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

- Find the total value of digits in numbers up to hundreds of millions.
- Interpret the total value of a digit in terms of its place value.
- Appreciate the importance of understanding total value in real life situations.

In groups and individually, learners are guided to:
- Differentiate between place value and total value.
- Calculate the total value of digits in various numbers.
- Share and discuss their findings with other groups.
- Relate total value to real-life scenarios.

How do we calculate the total value of a digit?

- Top Scholar Mathematics Grade 7 page 2.
- Place value charts.
- Number cards.
- Top Scholar Mathematics Grade 7 page 3.

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

NUMBERS

Whole Numbers - Reading and writing numbers in symbols
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 symbols up to hundreds of millions.
- Write numbers in symbols up to hundreds of millions.
- Appreciate the importance of correct number notation.

In groups and individually, learners are guided to:
- Use place value charts to represent numbers.
- Read numbers using place value groups (millions, thousands, etc.).
- Practice reading large numbers using number cards.
- Discuss the importance of correct number notation.

Where do we write numbers in symbols?

- Top Scholar Mathematics Grade 7 page 4.
- Number cards.
- Place value charts.
- Top Scholar Mathematics Grade 7 page 5.
- Dummy cheques.
- Top Scholar Mathematics Grade 7 page 7.

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

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

- Written exercise. - Oral questions. - 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
Whole Numbers - Creating number sequences

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.
- Top Scholar Mathematics Grade 7 page 17.
- Paper cut-outs.

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

NUMBERS

Factors - Divisibility test for 2, 3 and 6
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 2, 3, and 6.
- Identify numbers divisible by 2, 3, and 6.
- Show interest in applying divisibility tests to check answers.

In groups and individually, learners are guided to:
- Apply divisibility test for 2 (last digit is 0, 2, 4, 6, or 8).
- Apply divisibility test for 3 (sum of digits divisible by 3).
- Apply divisibility test for 6 (divisible by both 2 and 3).
- Solve problems using these divisibility tests.

How do we test divisibility of numbers by 2, 3, and 6?

- Top Scholar Mathematics Grade 7 page 24.
- Number cards.
- Multiplication tables.
- Top Scholar Mathematics Grade 7 page 27.
- Top Scholar Mathematics Grade 7 page 28.

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

NUMBERS

Factors - Divisibility test for 11
Factors - Expressing numbers as product of prime factors

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.
- Top Scholar Mathematics Grade 7 page 33.
- Factor charts.

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

NUMBERS

Factors - Greatest Common Divisor (GCD)
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 GCD of two or more numbers using common factors.
- Apply the GCD in solving real-life problems.
- Show interest in finding the GCD of numbers.

In groups and individually, learners are guided to:
- List factors of given numbers.
- Identify common factors.
- Find the highest common factor (GCD).
- Apply GCD to solve real-life problems.

What is the GCD and how do we use it?

- Top Scholar Mathematics Grade 7 page 34.
- Number cards.
- Factor charts.
- Top Scholar Mathematics Grade 7 page 35.
- 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
Fractions - Multiplying 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.
- Top Scholar Mathematics Grade 7 page 49.
- 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
Decimals - Addition and subtraction 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.
- Top Scholar Mathematics Grade 7 page 58.
- Decimal number cards.
- Calculators.

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

NUMBERS

Decimals - Multiplication of decimals
Decimals - Division of decimals

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

- Multiply decimals by whole numbers.
- Multiply decimals by decimals.
- Develop confidence in performing calculations with decimals.

In groups and individually, learners are guided to:
- Multiply decimals by whole numbers.
- Multiply decimals by decimals.
- Count decimal places in the product.
- Solve real-life problems involving multiplication of decimals.

How do we multiply decimal numbers?

- Top Scholar Mathematics Grade 7 page 59.
- Decimal number cards.
- Calculators.
- Cut-outs.
- Top Scholar Mathematics Grade 7 page 61.

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

NUMBERS

Squares and Square Roots - Squares of whole 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 whole numbers by multiplication.
- Use calculators to find squares of numbers.
- Appreciate the concept of square numbers in mathematics.

In groups and individually, learners are guided to:
- Use long multiplication to find squares of numbers.
- Use calculators to find squares of larger numbers.
- Identify patterns in square numbers.
- Relate square numbers to areas of squares.

What are square numbers and how do we calculate them?

- Top Scholar Mathematics Grade 7 page 65.
- Calculators.
- Grid paper.
- Number cards.
- Top Scholar Mathematics Grade 7 page 66.
- Fraction cards.
- 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
Squares and Square Roots - Square roots of fractions

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.
- Top Scholar Mathematics Grade 7 page 71.
- Fraction cards.

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

NUMBERS
ALGEBRA
ALGEBRA

Squares and Square Roots - Square roots of decimals
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:

- Find square roots of perfect square decimals.
- Use calculators to find square roots of decimals.
- Develop confidence in working with square roots of decimals.

In groups and individually, learners are guided to:
- Convert decimals to fractions to find square roots.
- Use calculators to find square roots of decimals.
- Solve problems involving square roots of decimals.
- Discuss real-life applications of square roots.

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

- Top Scholar Mathematics Grade 7 page 72.
- Decimal number cards.
- Calculators.
- 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
Linear Equations - Applications of linear equations

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.
- Top Scholar Mathematics Grade 7 page 87.

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

ALGEBRA

Linear Inequalities - Applying inequality symbols to inequality statements
Linear Inequalities - Forming simple linear inequalities in one unknown
Linear Inequalities - Illustrating simple inequalities on a number line

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.
- Top Scholar Mathematics Grade 7 page 92.
- Number lines.

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

ALGEBRA

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

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

- Form compound inequalities from two simple inequalities.
- Translate word problems into compound inequalities.
- Show interest in representing complex situations using compound inequalities.

In groups and individually, learners are guided to:
- Form compound inequalities from simple inequalities.
- Translate word problems into compound inequalities.
- Share their compound inequalities with other groups.
- Discuss real-life applications of compound inequalities.

How do we form compound inequalities?

- Top Scholar Mathematics Grade 7 page 94.
- Inequality cards.
- Number cards.
- Word problem cards.
- Top Scholar Mathematics Grade 7 page 95.
- Number lines.
- IT devices.

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

MEASUREMENTS

Pythagorean Relationship - Recognizing sides of a right-angled triangle
Pythagorean Relationship - Identifying Pythagorean relationship
Pythagorean Relationship - Applying Pythagorean relationship

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

- Identify the hypotenuse, height, and base of a right-angled triangle.
- Recognize right-angled triangles in the environment.
- Appreciate the relationship between sides of a right-angled triangle.

In groups and individually, learners are guided to:
- Draw and represent practical cases of right-angled triangles.
- Identify the hypotenuse, height, and base in different orientations.
- Discuss examples of right-angled triangles in their environment.
- Make models of right-angled triangles.

How many sides does a right-angled triangle have?

- Top Scholar Mathematics Grade 7 page 97.
- Right-angled triangles cut-outs.
- Ruler and protractor.
- Grid paper.
- 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. - Observation. - 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
Length - Perimeter of plane figures
Length - Circumference of circles

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.
- 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
Area - Area of a trapezium

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.
- Top Scholar Mathematics Grade 7 page 120.

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

MEASUREMENTS

Area - Area of a circle
Area - Area of borders

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

- Understand the formula for area of a circle.
- Calculate the area of circles.
- Show interest in the relationship between radius and area.

In groups and individually, learners are guided to:
- Cut circles into sectors and rearrange to form rectangles.
- Derive the formula for area of a circle.
- Calculate areas using the formula (πr²).
- Solve problems involving circular areas.

How do we calculate the area of a circle?

- Top Scholar Mathematics Grade 7 page 122.
- Circular cut-outs.
- Pair of compasses.
- Scissors.
- Top Scholar Mathematics Grade 7 page 124.
- Cut-outs of shapes with borders.
- Grid paper.
- Rulers.

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

MEASUREMENTS

Area - Area of combined shapes
Volume and Capacity - Metre cube as a unit of volume
Volume and Capacity - Converting units 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.
- Top Scholar Mathematics Grade 7 page 128.
- Conversion charts.
- Cubic models.
- Calculators.

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

MEASUREMENTS

Volume and Capacity - Volume of cubes
Volume and Capacity - Volume of cuboids

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

- Calculate the volume of cubes.
- Apply the formula for volume of cubes.
- Appreciate the relationship between edge length and volume.

In groups and individually, learners are guided to:
- Make models of cubes using locally available materials.
- Calculate volumes using the formula (L³).
- Solve problems involving volumes of cubes.
- Create and solve their own problems.

How do we calculate the volume of a cube?

- Top Scholar Mathematics Grade 7 page 130.
- Cube models.
- Measuring tools.
- Calculators.
- Top Scholar Mathematics Grade 7 page 131.
- Cuboid models.

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

MEASUREMENTS

Volume and Capacity - Volume of cylinders
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:

- Calculate the volume of cylinders.
- Apply the formula for volume of cylinders.
- Develop confidence in working with cylindrical objects.

In groups and individually, learners are guided to:
- Make models of cylinders using locally available materials.
- Calculate volumes using the formula (πr²h).
- Solve problems involving volumes of cylinders.
- Measure real cylindrical objects and calculate their volumes.

How do we calculate the volume of a cylinder?

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

- 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
Time, Distance and Speed - Converting units of distance

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

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

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
Temperature - Describing and comparing temperature

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.
- Top Scholar Mathematics Grade 7 page 147.
- Thermometers.
- Objects of different temperatures.
- Weather charts.

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

MEASUREMENTS

Temperature - Units of measuring temperature
Temperature - Converting units of temperature

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

- Identify degrees Celsius and Kelvin as units of temperature.
- Read temperatures using thermometers.
- Show interest in measuring temperatures.

In groups and individually, learners are guided to:
- Identify and use tools for measuring temperature.
- Read temperatures in degrees Celsius.
- Record temperature readings of different substances.
- Discuss contexts where temperature measurement is important.

How do we measure temperature?

- Top Scholar Mathematics Grade 7 page 148.
- Thermometers.
- Temperature conversion charts.
- IT devices for temperature readings.
- Top Scholar Mathematics Grade 7 page 149.
- Calculators.

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

MEASUREMENTS

Temperature - Working out temperature
Money - Profit and loss
Money - Percentage profit and loss

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

- Calculate temperature in degrees Celsius and Kelvin.
- Solve problems involving temperature changes.
- Appreciate temperature changes in the environment.

In groups and individually, learners are guided to:
- Calculate temperature changes in °C and K.
- Solve word problems involving temperature.
- Use IT devices to check temperature in different places.
- Discuss the impact of temperature on the environment.

How do temperature changes affect the environment?

- Top Scholar Mathematics Grade 7 page 150.
- Thermometers.
- IT devices.
- Temperature conversion charts.
- 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. - Project work.

MEASUREMENTS

Money - Discount
Money - Percentage 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.
- Top Scholar Mathematics Grade 7 page 158.
- Price tags with percentage discounts.
- Word problem cards.

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

MEASUREMENTS

Money - Commission
Money - Percentage commission
Money - Interpreting bills

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

- Calculate commission on sales.
- Apply commission rates correctly.
- Appreciate the role of commission in business.

In groups and individually, learners are guided to:
- Understand commission as payment for services.
- Calculate commission for different sales values.
- Solve word problems involving commission.
- Discuss real-life examples of commission-based work.

What is commission?

- Top Scholar Mathematics Grade 7 page 160.
- Calculators.
- Commission rate cards.
- Word problem cards.
- Top Scholar Mathematics Grade 7 page 162.
- Commission percentage 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
Money - Using IT for 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.
- Top Scholar Mathematics Grade 7 page 173.
- Digital payment platform information.

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

GEOMETRY

Angles - Angles on a straight line
Angles - Angles at a point

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

- Identify angles on a straight line.
- Calculate unknown angles on a straight line.
- Appreciate that angles on a straight line add up to 180°.

In groups and individually, learners are guided to:
- Draw straight lines with angles.
- Measure angles on a straight line.
- Verify that angles on a straight line sum to 180°.
- Solve problems involving angles on a straight line.

What are angles on a straight line?

- Top Scholar Mathematics Grade 7 page 175.
- Protractors.
- Rulers.
- Angle models.
- Top Scholar Mathematics Grade 7 page 177.

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

GEOMETRY

Angles - Angles on a transversal
Angles - Angles in a parallelogram
Angles - Angle properties of polygons

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

- Identify corresponding, alternate, and co-exterior angles.
- Apply angle relationships to find unknown angles.
- Develop confidence in angle calculations.

In groups and individually, learners are guided to:
- Draw parallel lines cut by a transversal.
- Identify different angle relationships.
- Measure angles to verify relationships.
- Solve problems involving angles on a transversal.

What are angles on a transversal?

- Top Scholar Mathematics Grade 7 page 178.
- Protractors.
- Rulers.
- Parallel line models.
- Top Scholar Mathematics Grade 7 page 181.
- Set squares.
- Parallelogram models.
- Top Scholar Mathematics Grade 7 page 183.
- Polygon models.
- Grid paper.

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

GEOMETRY

Angles - Interior angles of polygons
Angles - Exterior angles of polygons

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

- Calculate interior angles of regular polygons.
- Apply the formula for interior angles of regular polygons.
- Show interest in the properties of regular polygons.

In groups and individually, learners are guided to:
- Draw regular polygons.
- Calculate interior angles using the formula.
- Verify results by measurement.
- Solve problems involving interior angles of regular polygons.

What makes a polygon regular?

- Top Scholar Mathematics Grade 7 page 185.
- Protractors.
- Rulers.
- Regular polygon models.
- Grid paper.
- Top Scholar Mathematics Grade 7 page 187.
- Polygon models.

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

GEOMETRY

Angles - Solving problems on angles and sides of polygons
Geometrical Constructions - Measuring angles
Geometrical Constructions - Bisecting angles

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

- Solve problems involving angles and sides of polygons.
- Apply angle relationships in problem-solving.
- Show interest in geometric problem-solving.

In groups and individually, learners are guided to:
- Solve problems involving interior and exterior angles.
- Apply angle relationships to find unknown angles.
- Create and solve their own angle problems.
- Discuss real-life applications of angle properties.

How do we solve problems involving polygon angles?

- Top Scholar Mathematics Grade 7 page 189.
- Protractors.
- Rulers.
- Polygon models.
- Problem cards.
- Top Scholar Mathematics Grade 7 page 190.
- Angle models.
- Grid paper.
- Top Scholar Mathematics Grade 7 page 192.
- Pair of compasses.
- Plain paper.

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

GEOMETRY

Geometrical Constructions - Construction of 90°
Geometrical Constructions - Construction of 45°
Geometrical Constructions - Construction of 60°

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

- Construct a 90° angle using ruler and compasses.
- Verify the accuracy of construction.
- Develop confidence in geometric constructions.

In groups and individually, learners are guided to:
- Draw lines of suitable length.
- Use ruler and compasses to construct 90° angles.
- Verify construction using protractors.
- Practice constructing 90° angles at different points.

How do we construct a 90° angle using ruler and compasses?

- Top Scholar Mathematics Grade 7 page 194.
- Pair of compasses.
- Rulers.
- Protractors.
- Plain paper.
- Top Scholar Mathematics Grade 7 page 195.
- Top Scholar Mathematics Grade 7 page 196.

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

GEOMETRY

Geometrical Constructions - Construction of 30° and other angles
Geometrical Constructions - Constructing triangles

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

- Construct a 30° angle using ruler and compasses.
- Construct other angles that are multiples of 7.5°.
- Develop confidence in geometric constructions.

In groups and individually, learners are guided to:
- Construct a 60° angle first.
- Bisect the 60° angle to get 30°.
- Construct other angles through bisection.
- Verify constructions using protractors.

How do we construct a 30° angle using ruler and compasses?

- Top Scholar Mathematics Grade 7 page 198.
- Pair of compasses.
- Rulers.
- Protractors.
- Plain paper.
- Top Scholar Mathematics Grade 7 page 199.

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

GEOMETRY
DATA HANDLING AND PROBABILITY
DATA HANDLING AND PROBABILITY

Geometrical Constructions - Constructing circles
Data Handling - Meaning of data
Data Handling - Collection of data

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

- Construct circles using a pair of compasses.
- Understand the relationship between radius and circle.
- Appreciate the precision of circle construction.

In groups and individually, learners are guided to:
- Mark center points for circles.
- Adjust compasses to required radius.
- Draw circles of different sizes.
- Verify the accuracy of construction.

How do we construct circles using compasses?

- Top Scholar Mathematics Grade 7 page 202.
- Pair of compasses.
- Rulers.
- Plain paper.
- Circular objects.
- Top Scholar Mathematics Grade 7 page 203.
- Dictionaries.
- IT devices.
- Data samples.
- Top Scholar Mathematics Grade 7 page 204.
- Data collection tools.
- Notebooks.

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

DATA HANDLING AND PROBABILITY

Data Handling - Frequency distribution tables
Data Handling - Suitable scale for graphs

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

- Organize data in frequency distribution tables.
- Use tally marks to count frequencies.
- Appreciate the organization of data for analysis.

In groups and individually, learners are guided to:
- Organize collected data in frequency tables.
- Use tally marks to count occurrences.
- Calculate frequencies from tally marks.
- Interpret information from frequency tables.

How do we represent data in a frequency table?

- Top Scholar Mathematics Grade 7 page 205.
- Data samples.
- Frequency table templates.
- Calculators.
- Top Scholar Mathematics Grade 7 page 208.
- Graph paper.
- Rulers.
- Data sets.

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

DATA HANDLING AND PROBABILITY

Data Handling - Pictographs
Data Handling - Bar graphs
Data Handling - Interpretation of bar graphs

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

- Draw pictographs to represent data.
- Interpret information from pictographs.
- Develop confidence in data representation.

In groups and individually, learners are guided to:
- Create symbols for pictographs.
- Draw pictographs to represent data.
- Interpret information from pictographs.
- Discuss advantages and limitations of pictographs.

How do we represent data in a pictograph?

- Top Scholar Mathematics Grade 7 page 210.
- Paper.
- Rulers.
- Colored pencils.
- Data sets.
- Top Scholar Mathematics Grade 7 page 212.
- Graph paper.
- Top Scholar Mathematics Grade 7 page 214.
- Sample bar graphs.
- Worksheets with questions.
- IT devices.

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

DATA HANDLING AND PROBABILITY

Data Handling - Pie charts
Data Handling - Interpretation of pie charts
Data Handling - Line graphs
Data Handling - Interpretation of travel graphs

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

- Draw pie charts to represent data.
- Calculate angles for pie chart sectors.
- Show interest in representing proportional data.

In groups and individually, learners are guided to:
- Calculate angles for pie chart sectors.
- Draw pie charts using protractors and compasses.
- Label pie chart sectors appropriately.
- Discuss when pie charts are most appropriate.

How do we represent data in a pie chart?

- Top Scholar Mathematics Grade 7 page 216.
- Protractors.
- Pair of compasses.
- Calculators.
- Data sets.
- Top Scholar Mathematics Grade 7 page 219.
- Sample pie charts.
- Worksheets with questions.
- Top Scholar Mathematics Grade 7 page 221.
- Graph paper.
- Rulers.
- Colored pencils.
- Time-series data sets.
- Top Scholar Mathematics Grade 7 page 223.
- Sample travel graphs.

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