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

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

MEASUREMENTS

Length - Perimeter of plane figures
Length - Circumference of circles

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

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

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

How do we measure the perimeter of different objects?

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

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

MEASUREMENTS

Area - Units of area
Area - Area of a rectangle
Area - Area of a parallelogram

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

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

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

What are the standard units for measuring area?

- Top Scholar Mathematics Grade 7 page 112.
- Square metre model.
- Conversion charts.
- Area photos/diagrams.
- Top Scholar Mathematics Grade 7 page 113.
- Grid paper.
- Rulers.
- Rectangular objects.
- Top Scholar Mathematics Grade 7 page 115.
- Paper cut-outs.

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

MEASUREMENTS

Area - Area of a rhombus
Area - Area of a trapezium

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

- Calculate the area of 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.
- Top Scholar Mathematics Grade 7 page 120.

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

MEASUREMENTS

Area - Area of a circle
Area - Area of borders

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

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

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

How do we calculate the area of a circle?

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

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

MEASUREMENTS

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

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

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

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

How do we calculate the area of combined shapes?

- Top Scholar Mathematics Grade 7 page 125.
- Cut-outs of combined shapes.
- Grid paper.
- Rulers.
- Top Scholar Mathematics Grade 7 page 127.
- Cubic metre model.
- Cartons.
- Measuring tape.
- Top Scholar Mathematics Grade 7 page 128.
- Conversion charts.
- Cubic models.
- Calculators.

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

MEASUREMENTS

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

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

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

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

How do we calculate the volume of a cube?

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

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

MEASUREMENTS

Volume and Capacity - Volume of cylinders
Volume and Capacity - Relationship between cubic units and litres

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.

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

MEASUREMENTS

Volume and Capacity - Working out capacity of containers
Time, Distance and Speed - Units of measuring time
Time, Distance and Speed - Converting units of time

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

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

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

MEASUREMENTS

Time, Distance and Speed - Converting units of distance
Time, Distance and Speed - Speed as distance covered per unit time

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

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

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

How do we convert between different units of distance?

- Top Scholar Mathematics Grade 7 page 139.
- Distance conversion charts.
- Measuring tapes.
- Maps with scales.
- Top Scholar Mathematics Grade 7 page 140.
- Stop watches.
- Calculators.

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

MEASUREMENTS

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:

- 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.
- Top Scholar Mathematics Grade 7 page 143.
- Stop watches.
- Measuring tapes.

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

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

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

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

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

Why do we need to understand profit and loss?

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

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

MEASUREMENTS

Money - Discount
Money - Percentage discount
Money - Commission

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

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

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

What is a discount?

- Top Scholar Mathematics Grade 7 page 156.
- Price tags with discounts.
- Calculators.
- Play money.
- Top Scholar Mathematics Grade 7 page 158.
- Price tags with percentage discounts.
- Word problem cards.
- Top Scholar Mathematics Grade 7 page 160.
- Commission rate cards.

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

MEASUREMENTS

Money - Percentage commission
Money - Interpreting bills

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

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

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

How do we calculate percentage commission?

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

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

MEASUREMENTS

Money - Preparing bills
Money - Postal charges

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

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

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

How do we prepare accurate bills?

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

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

MEASUREMENTS

Money - Mobile money services
Money - Mobile money transactions
Money - Using IT for money transactions

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

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

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

What mobile money services are available?

- Top Scholar Mathematics Grade 7 page 170.
- Mobile money service charts.
- Transaction flow diagrams.
- IT devices.
- Top Scholar Mathematics Grade 7 page 172.
- Mobile money tariff charts.
- Calculators.
- Transaction scenarios.
- Top Scholar Mathematics Grade 7 page 173.
- Digital payment platform information.

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

GEOMETRY

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

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

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

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

What are angles on a straight line?

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

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

GEOMETRY

Angles - Angles on a transversal
Angles - Angles in a parallelogram

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

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

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

What are angles on a transversal?

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

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

GEOMETRY

Angles - Angle properties of polygons
Angles - Interior angles of polygons
Angles - Exterior angles of polygons

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

- Identify angle properties of polygons up to hexagon.
- Calculate the sum of interior angles of polygons.
- Appreciate patterns in polygon angles.

In groups and individuals, learners are guided to:
- Draw different polygons up to hexagon.
- Measure interior angles and find their sum.
- Derive the formula for sum of interior angles.
- Solve problems involving polygon angles.

What are the angle properties of polygons?

- Top Scholar Mathematics Grade 7 page 183.
- Protractors.
- Rulers.
- Polygon models.
- Grid paper.
- Top Scholar Mathematics Grade 7 page 185.
- Regular polygon models.
- Top Scholar Mathematics Grade 7 page 187.

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

GEOMETRY

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

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

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

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

How do we solve problems involving polygon angles?

- Top Scholar Mathematics Grade 7 page 189.
- Protractors.
- Rulers.
- Polygon models.
- Problem cards.
- Top Scholar Mathematics Grade 7 page 190.
- Angle models.
- Grid paper.

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

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°
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

Geometrical Constructions - Constructing triangles
Geometrical Constructions - Constructing circles

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.

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

DATA HANDLING AND PROBABILITY

Data Handling - Meaning of data
Data Handling - Collection of data

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

- Define data as a collection of facts or information.
- Identify different types of data.
- Appreciate the importance of data in decision-making.

In groups and individually, learners are guided to:
- Discuss what constitutes data.
- Identify different types of data in their environment.
- Search for meanings of data from various sources.
- Discuss the importance of data in daily life.

What is data?

- Top Scholar Mathematics Grade 7 page 203.
- Dictionaries.
- IT devices.
- Data samples.
- Top Scholar Mathematics Grade 7 page 204.
- Data collection tools.
- Notebooks.

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

DATA HANDLING AND PROBABILITY

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

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

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

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

How do we represent data in a frequency table?

- Top Scholar Mathematics Grade 7 page 205.
- Data samples.
- Frequency table templates.
- Calculators.
- Top Scholar Mathematics Grade 7 page 208.
- Graph paper.
- Rulers.
- Data sets.
- Top Scholar Mathematics Grade 7 page 210.
- Paper.
- Colored pencils.

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

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

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

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

How do we represent data in a pie chart?

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

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