MEASUREMENTS

Volume and Capacity - Metre cube as a unit of volume

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

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

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

What is a cubic metre?

- Top Scholar Mathematics Grade 7 page 127.
- Cubic metre model.
- Cartons.
- Measuring tape.

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

MEASUREMENTS

Volume and Capacity - Converting units of volume
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
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

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.

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

MEASUREMENTS
GEOMETRY

Money - Using IT for money transactions
Angles - Angles on a straight line

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

- Understand the role of technology in financial transactions.
- Identify different digital payment platforms.
- Appreciate the benefits and risks of digital transactions.

In groups and individually, learners are guided to:
- Discuss different digital payment platforms.
- Explore how IT devices are used for transactions.
- Research online banking and payment systems.
- Discuss security measures for digital transactions.

How has technology changed money transactions?

- Top Scholar Mathematics Grade 7 page 173.
- Digital payment platform information.
- IT devices.
- Transaction flow diagrams.
- Top Scholar Mathematics Grade 7 page 175.
- Protractors.
- Rulers.
- Angle models.

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

GEOMETRY

Angles - Angles at a point
Angles - Angles on a transversal

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

- Identify angles at a point.
- Calculate unknown angles at a point.
- Show interest in angle relationships.

In groups and individually, learners are guided to:
- Draw intersecting lines to form angles at a point.
- Measure angles at a point.
- Verify that angles at a point sum to 360°.
- Solve problems involving angles at a point.

What are angles at a point?

- Top Scholar Mathematics Grade 7 page 177.
- 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
Angles - Exterior 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.
- Top Scholar Mathematics Grade 7 page 187.
- Polygon models.

- 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°

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.

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

GEOMETRY

Geometrical Constructions - Construction of 30° and other angles
Geometrical Constructions - Constructing triangles

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

- Construct a 30° angle using ruler and compasses.
- Construct other angles that are multiples of 7.5°.
- Develop confidence in geometric constructions.

In groups and individually, learners are guided to:
- Construct a 60° angle first.
- Bisect the 60° angle to get 30°.
- Construct other angles through bisection.
- Verify constructions using protractors.

How do we construct a 30° angle using ruler and compasses?

- Top Scholar Mathematics Grade 7 page 198.
- Pair of compasses.
- Rulers.
- Protractors.
- Plain paper.
- Top Scholar Mathematics Grade 7 page 199.

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

GEOMETRY
DATA HANDLING AND PROBABILITY

Geometrical Constructions - Constructing circles
Data Handling - Meaning of data

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

- Construct circles using a pair of compasses.
- Understand the relationship between radius and circle.
- Appreciate the precision of circle construction.

In groups and individually, learners are guided to:
- Mark center points for circles.
- Adjust compasses to required radius.
- Draw circles of different sizes.
- Verify the accuracy of construction.

How do we construct circles using compasses?

- Top Scholar Mathematics Grade 7 page 202.
- Pair of compasses.
- Rulers.
- Plain paper.
- 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

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.

- 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.