MEASUREMENTS

Area - Area of a parallelogram
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 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

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
Volume and Capacity - Converting units 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.
- 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

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.

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

MEASUREMENTS

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

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

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

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

What is the relationship between cubic centimetres and litres?

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

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

MEASUREMENTS

Time, Distance and Speed - Converting units of time
Time, Distance and Speed - Converting units of distance

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

- Convert between different units of time.
- Apply conversion factors correctly.
- Show interest in working with time measurements.

In groups and individually, learners are guided to:
- Understand relationships between time units.
- Convert hours to minutes and vice versa.
- Convert minutes to seconds and vice versa.
- Solve problems involving conversions of time.

How do we convert between different units of time?

- Top Scholar Mathematics Grade 7 page 137.
- Time conversion charts.
- Clocks.
- Calculators.
- Top Scholar Mathematics Grade 7 page 139.
- Distance conversion charts.
- Measuring tapes.
- Maps with scales.

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

MEASUREMENTS

Time, Distance and Speed - Speed in km/h

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

- Calculate speed in kilometres per hour.
- Solve problems involving speed in km/h.
- Show interest in real-life applications of speed.

In groups and individually, learners are guided to:
- Calculate speed in km/h using the formula.
- Discuss common speeds in real life (walking, cycling, driving).
- Solve word problems involving speed in km/h.
- Create and solve their own speed problems.

How do we calculate speed in kilometres per hour?

- Top Scholar Mathematics Grade 7 page 142.
- Speed charts.
- Calculators.
- Word problem cards.

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

MEASUREMENTS

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

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

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

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

How do we calculate speed in metres per second?

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

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

MEASUREMENTS

Temperature - 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

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.

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

MEASUREMENTS

Money - Percentage profit and loss
Money - Discount

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

- Calculate percentage profit and loss.
- Express profit or loss as a percentage of cost.
- Appreciate the importance of percentages in business.

In groups and individually, learners are guided to:
- Calculate percentage profit using the formula.
- Calculate percentage loss using the formula.
- Solve word problems involving percentage profit/loss.
- Discuss real-life applications in business.

What does percentage profit or loss tell us?

- Top Scholar Mathematics Grade 7 page 154.
- Calculators.
- Word problem cards.
- Play money.
- Top Scholar Mathematics Grade 7 page 156.
- Price tags with discounts.

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

MEASUREMENTS

Money - Percentage discount
Money - Commission

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

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

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

How do we calculate percentage discount?

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

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

MEASUREMENTS

Money - Percentage commission

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

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

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

How do we calculate percentage commission?

- Top Scholar Mathematics Grade 7 page 162.
- Calculators.
- Commission percentage cards.
- Word problem cards.

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

GEOMETRY

Angles - Angles on a straight line
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 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

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.

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

GEOMETRY

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:

- Identify exterior angles of polygons.
- Calculate the sum of exterior angles of polygons.
- Develop confidence in angle calculations.

In groups and individually, learners are guided to:
- Draw polygons and their exterior angles.
- Measure exterior angles and find their sum.
- Verify that exterior angles sum to 360°.
- Solve problems involving exterior angles.

What are exterior angles of polygons?

- Top Scholar Mathematics Grade 7 page 187.
- Protractors.
- Rulers.
- Polygon models.
- Grid paper.
- Top Scholar Mathematics Grade 7 page 189.
- Problem cards.

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

GEOMETRY

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

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

- Bisect angles using a ruler and pair of compasses.
- Verify the accuracy of angle bisection.
- Show interest in geometric constructions.

In groups and individually, learners are guided to:
- Draw angles of different sizes.
- Use ruler and compasses to bisect angles.
- Measure the resulting angles to verify bisection.
- Practice bisecting angles of different sizes.

How do we bisect an angle using a ruler and compasses?

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

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

GEOMETRY

Geometrical Constructions - Construction of 45°

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.

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

GEOMETRY

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 60° angle using ruler and compasses.
- Verify the accuracy of construction.
- Appreciate the precision of geometric constructions.

In groups and individually, learners are guided to:
- Draw lines of suitable length.
- Use ruler and compasses to construct 60° angles.
- Verify construction using protractors.
- Practice constructing 60° angles at different points.

How do we construct a 60° angle using ruler and compasses?

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

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

GEOMETRY
DATA HANDLING AND PROBABILITY

Geometrical Constructions - Constructing triangles
Data Handling - Collection 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 204.
- Data collection tools.
- Notebooks.
- IT devices.

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

DATA HANDLING AND PROBABILITY

Data Handling - Frequency distribution tables

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.

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

DATA HANDLING AND PROBABILITY

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

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

- Draw bar graphs to represent data.
- Interpret information from bar graphs.
- Show interest in using bar graphs for data visualization.

In groups and individually, learners are guided to:
- Choose suitable scales for bar graphs.
- Draw bar graphs to represent data.
- Interpret information from bar graphs.
- Compare bar graphs with pictographs.

How do we represent data in a bar graph?

- Top Scholar Mathematics Grade 7 page 212.
- Graph paper.
- Rulers.
- Colored pencils.
- Data sets.
- 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 - Line 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 221.
- Graph paper.
- Rulers.
- Colored pencils.
- Time-series data sets.

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

DATA HANDLING AND PROBABILITY

Data Handling - Interpretation of travel graphs

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

- Extract information from travel graphs.
- Interpret distance-time relationships.
- Appreciate the use of graphs to represent journeys.

In groups and individually, learners are guided to:
- Read and interpret given travel graphs.
- Answer questions on distance, time, and speed.
- Calculate speed from gradient of line segments.
- Identify periods of rest, acceleration, and deceleration.

How do we interpret travel graphs?

- Top Scholar Mathematics Grade 7 page 223.
- Sample travel graphs.
- Worksheets with questions.
- Rulers.
- Calculators.

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