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

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

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.

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

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
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 - Units of measuring time
Time, Distance and Speed - Converting units of 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.
- Top Scholar Mathematics Grade 7 page 137.
- Clocks.
- Calculators.

- 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

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.

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

MEASUREMENTS

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

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

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

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

How do we measure temperature?

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

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

MEASUREMENTS

Temperature - Working out temperature
Money - Profit and loss

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

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

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

How do temperature changes affect the environment?

- Top Scholar Mathematics Grade 7 page 150.
- Thermometers.
- IT devices.
- Temperature conversion charts.
- Top Scholar Mathematics Grade 7 page 152.
- Play money.
- Price tags.
- Calculators.

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

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
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

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.

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

MEASUREMENTS

Money - Postal charges
Money - Mobile money services

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

- Calculate postal charges for different items.
- Apply postal rate charts correctly.
- Appreciate postal services.

In groups and individually, learners are guided to:
- Visit or research postal services.
- Study postal rate charts.
- Calculate charges for items of different weights.
- Solve problems involving postal charges.

How are postal charges calculated?

- Top Scholar Mathematics Grade 7 page 168.
- Postal rate charts.
- Calculators.
- Sample mailing items.
- Top Scholar Mathematics Grade 7 page 170.
- Mobile money service charts.
- Transaction flow diagrams.
- IT devices.

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

MEASUREMENTS

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

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

- Calculate charges for mobile money transactions.
- Apply transaction tariffs correctly.
- Develop confidence in using mobile financial services.

In groups and individually, learners are guided to:
- Study mobile money transaction tariffs.
- Calculate charges for different transaction amounts.
- Solve problems involving mobile money transactions.
- Discuss responsible use of mobile money services.

How are mobile money transaction charges calculated?

- 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.
- IT devices.
- Transaction flow diagrams.

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

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

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.

- 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 - Measuring angles
Geometrical Constructions - Bisecting angles

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.

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

GEOMETRY

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

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

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

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

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

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

- 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

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

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

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

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

How do we represent data in a frequency table?

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

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

DATA HANDLING AND PROBABILITY

Data Handling - Pictographs
Data Handling - Bar graphs

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

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

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

How do we represent data in a pictograph?

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

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

DATA HANDLING AND PROBABILITY

Data Handling - Interpretation of bar graphs
Data Handling - Pie charts

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.

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

DATA HANDLING AND PROBABILITY

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

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

- Extract information from pie charts.
- Interpret proportions and percentages from pie charts.
- Appreciate the effectiveness of pie charts for showing proportions.

In groups and individually, learners are guided to:
- Read and interpret given pie charts.
- Answer questions based on pie charts.
- Calculate quantities from percentages or angles.
- Discuss real-life applications of pie charts.

How do we interpret data from a pie chart?

- Top Scholar Mathematics Grade 7 page 219.
- Sample pie charts.
- Worksheets with questions.
- Calculators.
- 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.