NUMBERS

Factors - Expressing numbers as product of prime factors

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.

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

NUMBERS

Factors - Greatest Common Divisor (GCD)

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.

- 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

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.

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

NUMBERS

Fractions - Arranging fractions in ascending and descending order

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

- Arrange fractions in ascending order.
- Arrange fractions in descending order.
- Appreciate the order relationship among fractions.

In groups and individually, learners are guided to:
- Express fractions with a common denominator.
- Arrange fractions from smallest to largest (ascending).
- Arrange fractions from largest to smallest (descending).
- Play fraction ordering games.

How do we arrange fractions in order?

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

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

NUMBERS

Fractions - Adding 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.

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

NUMBERS

Fractions - Subtracting fractions

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

- Subtract fractions with the same denominator.
- Subtract fractions with different denominators.
- Develop confidence in working with fractions.

In groups and individually, learners are guided to:
- Subtract fractions with the same denominator.
- Express fractions with a common denominator before subtraction.
- Solve problems involving subtraction of fractions.
- Use paper cut-outs to model subtraction of fractions.

How do we subtract fractions with different denominators?

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

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

NUMBERS

Fractions - Multiplying fractions
Fractions - Reciprocal of 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.
- Top Scholar Mathematics Grade 7 page 51.
- Number cards.

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

NUMBERS

Fractions - Dividing fractions

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

- Divide a fraction by a whole number.
- Divide a fraction by another fraction.
- Show interest in using division of fractions to solve problems.

In groups and individually, learners are guided to:
- Divide fractions by whole numbers.
- Divide fractions by fractions using reciprocals.
- Solve word problems involving division of fractions.
- Discuss real-life applications of division of fractions.

How do we divide fractions?

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

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

NUMBERS

Fractions - Sequence of fractions

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.

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

NUMBERS

Decimals - Place value and total value of decimals

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

- Identify place values in decimal numbers.
- Find the total value of digits in decimal numbers.
- Appreciate the importance of decimals in measurements.

In groups and individually, learners are guided to:
- Read and write decimal numbers.
- Identify place values of digits in decimal numbers.
- Calculate total values of digits in decimal numbers.
- Relate decimals to real-life measurements.

What is the place value of a digit in a decimal number?

- 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

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.

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

NUMBERS

Decimals - Multiplication 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.

- 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

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.

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

NUMBERS

Squares and Square Roots - Squares of decimals

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

- Find squares of decimal numbers.
- Use calculators to find squares of decimals.
- Develop confidence in squaring decimal numbers.

In groups and individually, learners are guided to:
- Use long multiplication to square decimal numbers.
- Use calculators to find squares of decimals.
- Count decimal places in the answer.
- Solve problems involving squares of decimals.

How do we find the square of a decimal number?

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

- 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

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.

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

NUMBERS
ALGEBRA

Squares and Square Roots - Square roots of decimals
Algebraic Expressions - Formation of algebraic expressions from real life situations

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.

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

ALGEBRA

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 simple statements.
- Translate word problems into algebraic expressions.
- Show interest in representing situations algebraically.

In groups and individually, learners are guided to:
- Read and interpret algebraic statements.
- Form algebraic expressions from statements.
- Role-play activities involving equations.
- Translate real-life scenarios into algebraic expressions.

How do we translate word problems into algebraic expressions?

- 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

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.

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

ALGEBRA

Algebraic Expressions - Simplification of algebraic expressions

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

- Identify like terms in algebraic expressions.
- Simplify algebraic expressions by combining like terms.
- Appreciate the need for simplification in algebra.

In groups and individually, learners are guided to:
- Identify like terms in expressions.
- Combine like terms to simplify expressions.
- Verify their answers through substitution.
- Discuss the importance of simplification in problem-solving.

Why do we simplify algebraic expressions?

- 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

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.

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

ALGEBRA

Linear Equations - Solving linear equations in one unknown

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

- Solve linear equations in one unknown.
- Apply the balancing method to solve equations.
- Develop confidence in solving linear equations.

In groups and individually, learners are guided to:
- Solve equations by applying the balancing method.
- Verify their solutions by substitution.
- Share solution strategies with other groups.
- Use IT to check solutions to equations.

How do we solve linear equations in one unknown?

- Top Scholar Mathematics Grade 7 page 85.
- Beam balance.
- IT devices.
- Equation cards.

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

ALGEBRA

Linear Equations - Applications of linear equations
Linear Inequalities - Applying inequality symbols to inequality statements

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

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

ALGEBRA

Linear Inequalities - Forming simple linear inequalities in one unknown

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

- Form simple linear inequalities from given situations.
- Translate word problems into inequalities.
- Show interest in using inequalities to model real-life situations.

In groups and individually, learners are guided to:
- Use inequality cards to form simple linear inequalities.
- Translate word problems into inequalities.
- Share their inequalities with other groups.
- Discuss real-life applications of inequalities.

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

- 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

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.

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

ALGEBRA

Linear Inequalities - Forming compound inequality statements in one unknown

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.

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

ALGEBRA

Linear Inequalities - Illustrating compound inequalities on a number line

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.

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

MEASUREMENTS

Pythagorean Relationship - Recognizing sides of a right-angled triangle
Pythagorean Relationship - Identifying 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.

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

MEASUREMENTS

Pythagorean Relationship - Applying Pythagorean relationship

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

- Apply the Pythagorean theorem to find unknown sides.
- Solve real-life problems using the Pythagorean relationship.
- Appreciate the usefulness of Pythagoras' theorem in real life.

In groups and individually, learners are guided to:
- Calculate unknown sides using the Pythagorean relationship.
- Solve word problems involving right-angled triangles.
- Discuss real-life applications of the Pythagorean theorem.
- Create and solve problems using the theorem.

How do we use Pythagorean relationship in real life situations?

- Top Scholar Mathematics Grade 7 page 100.
- Word problem cards.
- IT devices.
- Calculators.

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

MEASUREMENTS

Length - Converting 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.

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

MEASUREMENTS

Length - Addition and subtraction involving units of length

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

- Add measurements of length.
- Subtract measurements of length.
- Show interest in using measurement in problem-solving.

In groups and individually, learners are guided to:
- Add measurements with the same and different units.
- Subtract measurements with the same and different units.
- Solve word problems involving addition and subtraction of length.
- Measure objects and perform calculations.

How do we add and subtract measurements of length?

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

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

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

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.

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

MEASUREMENTS

Area - Area of a rectangle

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

- Calculate the area of rectangles.
- Apply the formula for area of rectangles.
- Show interest in finding areas of rectangular objects.

In groups and individually, learners are guided to:
- Draw rectangles of different dimensions.
- Subdivide rectangles into unit squares.
- Calculate areas using the formula (length × width).
- Solve problems involving rectangular areas.

How do we calculate the area of a rectangle?

- Top Scholar Mathematics Grade 7 page 113.
- Grid paper.
- Rulers.
- Rectangular objects.

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

MEASUREMENTS

Area - Area of a parallelogram

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.

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

MEASUREMENTS

Area - Area of a rhombus

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

- Calculate the area of rhombuses.
- Apply different methods for finding rhombus area.
- Show interest in the relationship between different shapes.

In groups and individuals, learners are guided to:
- Use cut-outs to explore properties of rhombuses.
- Derive the formula for area using base and height.
- Derive the formula using diagonals.
- Solve problems involving rhombus areas.

How do we calculate the area of a rhombus?

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

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

MEASUREMENTS

Area - Area of a trapezium

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.

- 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

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.

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

MEASUREMENTS

Volume and Capacity - Metre cube as a unit of volume

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

- Identify cubic metre as a unit of volume.
- Visualize the size of one cubic metre.
- Appreciate the use of standard units of volume.

In groups and individually, learners are guided to:
- Make a model of a cubic metre using locally available materials.
- Discuss the concept of volume as space occupied.
- Relate volume to real-life situations.
- Compare cubic metre with other volumes.

What is a cubic metre?

- 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

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.

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

MEASUREMENTS

Volume and Capacity - Volume of cubes

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.

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

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

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.

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

MEASUREMENTS

Volume and Capacity - Working out capacity of containers

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

- Calculate the capacity of different containers.
- Convert between volume and capacity units.
- Show interest in relating capacity to volume.

In groups and individually, learners are guided to:
- Calculate capacities of containers of different shapes.
- Express capacities in appropriate units.
- Solve problems involving capacity.
- Create and solve their own capacity problems.

How do we calculate the capacity of a container?

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

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

MEASUREMENTS

Time, Distance and Speed - Units of measuring 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.

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