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
Whole Numbers - Reading and writing numbers in symbols

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.
- 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
Whole Numbers - Rounding off numbers to the nearest million

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.
- Top Scholar Mathematics Grade 7 page 8.

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

NUMBERS

Whole Numbers - Rounding off numbers to the nearest tens of millions
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 ten million.
- Apply the rules for rounding off to tens of millions.
- Appreciate the use of rounding in real life contexts.

In groups and individually, learners are guided to:
- Identify digits in the millions place value.
- Apply rounding rules based on the identified digit.
- Practice rounding numbers to the nearest ten million.
- Discuss real-life situations where such rounding is useful.

How does rounding help in estimation?

- Top Scholar Mathematics Grade 7 page 9.
- Place value charts.
- Number cards.
- Top Scholar Mathematics Grade 7 page 10.

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

NUMBERS

Whole Numbers - Even and odd numbers
Whole Numbers - Prime numbers
Whole Numbers - Operations of whole 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.
- Top Scholar Mathematics Grade 7 page 13.
- Calculators.

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

NUMBERS

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

- Apply operations of whole numbers to solve real-life problems.
- Interpret and solve word problems involving whole numbers.
- Show interest in applying mathematics to real-life situations.

In groups and individually, learners are guided to:
- Solve word problems involving whole numbers.
- Interpret real-life scenarios and apply appropriate operations.
- Share and discuss solutions to real-life problems.
- Appreciate the relevance of mathematics in daily life.

How do we use operations in daily activities?

- Top Scholar Mathematics Grade 7 page 14.
- Calculators.
- Word problem cards.
- Top Scholar Mathematics Grade 7 page 15.
- Number cards.
- Sequence charts.
- Top Scholar Mathematics Grade 7 page 16.

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

NUMBERS

Whole Numbers - Creating number sequences
Factors - Divisibility test for 2, 3 and 6
Factors - Divisibility test for 4 and 8

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.
- Top Scholar Mathematics Grade 7 page 27.

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

NUMBERS

Factors - Divisibility test for 5, 9 and 10
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 divisibility tests for 5, 9, and 10.
- Identify numbers divisible by 5, 9, and 10.
- Show interest in quick mental calculations using divisibility tests.

In groups and individually, learners are guided to:
- Apply divisibility test for 5 (last digit is 0 or 5).
- Apply divisibility test for 9 (sum of digits divisible by 9).
- Apply divisibility test for 10 (last digit is 0).
- Solve problems using these divisibility tests.

How do we test divisibility of numbers by 5, 9, and 10?

- Top Scholar Mathematics Grade 7 page 28.
- Number cards.
- Multiplication tables.
- Top Scholar Mathematics Grade 7 page 32.
- 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)

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.

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

NUMBERS

Factors - Application of GCD and LCM
Fractions - Comparing fractions
Fractions - Arranging fractions in ascending and descending order

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

- Apply GCD and LCM to solve real-life problems.
- Model real-life situations using GCD and LCM.
- Appreciate the relevance of GCD and LCM in daily life.

In groups and individually, learners are guided to:
- Solve word problems involving GCD.
- Solve word problems involving LCM.
- Create and solve their own word problems.
- Discuss real-life situations where GCD and LCM are applied.

How do we apply GCD and LCM in real life situations?

- Top Scholar Mathematics Grade 7 page 38.
- Word problem cards.
- Containers of different capacities.
- Top Scholar Mathematics Grade 7 page 40.
- Fraction cards.
- Number cards.
- Cut-outs.
- Top Scholar Mathematics Grade 7 page 42.

- Written exercise. - Oral questions. - Project work. - 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
Fractions - Sequence of 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.
- Top Scholar Mathematics Grade 7 page 54.
- Sequence charts.

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

NUMBERS

Decimals - Place value and total value of decimals
Decimals - Addition and subtraction of decimals
Decimals - Multiplication 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.
- 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
Squares and Square Roots - Squares of fractions

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.
- Top Scholar Mathematics Grade 7 page 66.
- Fraction cards.

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

NUMBERS

Squares and Square Roots - Squares of decimals
Squares and Square Roots - Square roots of whole numbers

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

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

NUMBERS
ALGEBRA

Squares and Square Roots - Square roots of fractions
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 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.
- 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
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 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.
- Top Scholar Mathematics Grade 7 page 79.
- 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
MEASUREMENTS

Linear Inequalities - Forming compound inequality statements in one unknown
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:

- 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.
- 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
Length - Multiplication and division 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.
- Top Scholar Mathematics Grade 7 page 105.

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

MEASUREMENTS

Length - Perimeter of plane figures
Length - Circumference of circles
Area - Units of area

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.
- Top Scholar Mathematics Grade 7 page 112.
- Square metre model.
- Conversion charts.
- Area photos/diagrams.

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

MEASUREMENTS

Area - Area of a rectangle
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 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.
- Top Scholar Mathematics Grade 7 page 115.
- Paper cut-outs.
- 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
Area - Area of borders

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

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

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
Volume and Capacity - Volume of cuboids

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.
- Top Scholar Mathematics Grade 7 page 131.
- Cuboid models.

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

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
Time, Distance and Speed - Speed in m/s

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.
- Top Scholar Mathematics Grade 7 page 143.

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

MEASUREMENTS

Time, Distance and Speed - Converting units of speed
Temperature - Describing and comparing temperature
Temperature - Units of measuring temperature

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

- Convert between km/h and m/s.
- Apply conversion factors correctly.
- Show interest in working with different units of speed.

In groups and individually, learners are guided to:
- Understand the relationship between km/h and m/s.
- Convert speeds from km/h to m/s.
- Convert speeds from m/s to km/h.
- Solve problems involving speed conversions.

How do we convert between km/h and m/s?

- Top Scholar Mathematics Grade 7 page 144.
- Speed conversion charts.
- Calculators.
- Word problem cards.
- 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.

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
Money - Discount

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

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

MEASUREMENTS

Money - Percentage discount
Money - Commission
Money - Percentage 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.
- Top Scholar Mathematics Grade 7 page 162.
- Commission percentage cards.

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

MEASUREMENTS

Money - Interpreting bills
Money - Preparing bills
Money - Postal charges

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

- Interpret components of different bills.
- Verify the accuracy of bills.
- Appreciate the importance of checking bills.

In groups and individually, learners are guided to:
- Study components of different bills.
- Identify key information in bills.
- Calculate totals and verify bill amounts.
- Discuss the importance of keeping receipts.

What information do bills contain?

- Top Scholar Mathematics Grade 7 page 164.
- Sample bills and receipts.
- Calculators.
- Shopping receipts.
- Top Scholar Mathematics Grade 7 page 166.
- Bill templates.
- Price lists.
- Top Scholar Mathematics Grade 7 page 168.
- Postal rate charts.
- Sample mailing items.

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

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
Angles - Angles on a transversal

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.
- Top Scholar Mathematics Grade 7 page 178.
- Parallel line models.

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

GEOMETRY

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

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

- Identify angle properties of parallelograms.
- Calculate unknown angles in parallelograms.
- Show interest in properties of quadrilaterals.

In groups and individually, learners are guided to:
- Draw parallelograms using rulers and set squares.
- Measure angles in parallelograms.
- Verify that opposite angles are equal.
- Solve problems involving angles in parallelograms.

What are the angle properties of a parallelogram?

- Top Scholar Mathematics Grade 7 page 181.
- Protractors.
- Rulers.
- 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
Angles - Solving problems on angles and sides 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.
- Top Scholar Mathematics Grade 7 page 189.
- Problem cards.

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

GEOMETRY

Geometrical Constructions - Measuring angles
Geometrical Constructions - Bisecting angles
Geometrical Constructions - Construction of 90°

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

- Measure angles using a protractor.
- Draw angles of specified sizes.
- Appreciate the importance of accurate measurement.

In groups and individually, learners are guided to:
- Use protractors to measure angles.
- Draw angles of specified sizes.
- Verify measurements through comparison.
- Practice measuring angles in different orientations.

How do we measure angles accurately?

- Top Scholar Mathematics Grade 7 page 190.
- Protractors.
- Rulers.
- Angle models.
- Grid paper.
- Top Scholar Mathematics Grade 7 page 192.
- Pair of compasses.
- Plain paper.
- Top Scholar Mathematics Grade 7 page 194.

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

GEOMETRY

Geometrical Constructions - Construction of 45°
Geometrical Constructions - Construction of 60°
Geometrical Constructions - Construction of 30° and other angles

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

- Construct a 45° angle using ruler and compasses.
- Verify the accuracy of construction.
- Show interest in geometric constructions.

In groups and individually, learners are guided to:
- Construct a 90° angle first.
- Bisect the 90° angle to get 45°.
- Verify construction using protractors.
- Practice constructing 45° angles at different points.

How do we construct a 45° angle using ruler and compasses?

- Top Scholar Mathematics Grade 7 page 195.
- Pair of compasses.
- Rulers.
- Protractors.
- Plain paper.
- Top Scholar Mathematics Grade 7 page 196.
- Top Scholar Mathematics Grade 7 page 198.

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

GEOMETRY
DATA HANDLING AND PROBABILITY

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

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

- Construct triangles given different combinations of sides and angles.
- Verify the accuracy of constructions.
- Show interest in triangle constructions.

In groups and individually, learners are guided to:
- Construct triangles given three sides.
- Construct triangles given two sides and the included angle.
- Construct triangles given two angles and a side.
- Verify constructions by measurement.

How do we construct triangles using ruler and compasses?

- Top Scholar Mathematics Grade 7 page 199.
- Pair of compasses.
- Rulers.
- Protractors.
- Plain paper.
- Top Scholar Mathematics Grade 7 page 202.
- Circular objects.
- Top Scholar Mathematics Grade 7 page 203.
- Dictionaries.
- IT devices.
- Data samples.

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

DATA HANDLING AND PROBABILITY

Data Handling - Collection of data
Data Handling - Frequency distribution tables

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

- Collect data from different sources.
- Use appropriate methods for data collection.
- Show interest in collecting relevant data.

In groups and individually, learners are guided to:
- Collect data on favorite colors, games, etc.
- Use different methods like observation, interviews, and questionnaires.
- Record collected data systematically.
- Discuss the importance of accurate data collection.

Why do we collect data?

- Top Scholar Mathematics Grade 7 page 204.
- Data collection tools.
- Notebooks.
- IT devices.
- Top Scholar Mathematics Grade 7 page 205.
- Data samples.
- Frequency table templates.
- Calculators.

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

DATA HANDLING AND PROBABILITY

Data Handling - Suitable scale for graphs
Data Handling - Pictographs
Data Handling - Bar graphs

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

- Determine suitable scales for graphs.
- Apply scaling principles to data representation.
- Show interest in accurate data representation.

In groups and individually, learners are guided to:
- Analyze data ranges to determine appropriate scales.
- Practice selecting scales for different data sets.
- Discuss the impact of scale on graph interpretation.
- Create scaled axes for different graphs.

How do we choose an appropriate scale for a graph?

- Top Scholar Mathematics Grade 7 page 208.
- Graph paper.
- Rulers.
- Data sets.
- Calculators.
- Top Scholar Mathematics Grade 7 page 210.
- Paper.
- Colored pencils.
- Top Scholar Mathematics Grade 7 page 212.

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

DATA HANDLING AND PROBABILITY

Data Handling - Interpretation of bar graphs
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:

- Extract information from bar graphs.
- Make comparisons using bar graphs.
- Appreciate the use of bar graphs for data analysis.

In groups and individually, learners are guided to:
- Read and interpret given bar graphs.
- Answer questions based on bar graphs.
- Make comparisons and draw conclusions.
- Discuss real-life applications of bar graphs.

How do we interpret data from a bar graph?

- Top Scholar Mathematics Grade 7 page 214.
- Sample bar graphs.
- Worksheets with questions.
- IT devices.
- Top Scholar Mathematics Grade 7 page 216.
- Protractors.
- Pair of compasses.
- Calculators.
- Data sets.
- Top Scholar Mathematics Grade 7 page 219.
- Sample pie charts.
- 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.