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

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.

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

MEASUREMENTS

Length - Multiplication and division involving units of length
Length - Perimeter of plane figures

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

- Multiply measurements of length.
- Divide measurements of length.
- Develop confidence in performing calculations with measurements.

In groups and individually, learners are guided to:
- Multiply measurements by whole numbers.
- Divide measurements by whole numbers.
- Solve word problems involving multiplication and division of length.
- Measure objects and perform calculations.

How do we multiply and divide measurements of length?

- Top Scholar Mathematics Grade 7 page 105.
- Metre rules.
- Tape measures.
- Objects of different lengths.
- Top Scholar Mathematics Grade 7 page 107.
- Ruler and measuring tape.
- Cut-outs of plane figures.
- Objects with different shapes.

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

MEASUREMENTS

Length - Circumference of circles

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

- Understand the relationship between diameter and circumference.
- Calculate the circumference of circles.
- Appreciate the constant nature of π.

In groups and individually, learners are guided to:
- Measure the circumference and diameter of circular objects.
- Establish the relationship between circumference and diameter (π).
- Calculate circumferences using the formula C = πD.
- Solve problems involving circumferences.

How do we calculate the circumference of a circle?

- 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

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.

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

MEASUREMENTS

Area - Area of a rectangle

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

- Calculate the area of rectangles.
- Apply the formula for area of rectangles.
- Show interest in finding areas of rectangular objects.

In groups and individually, learners are guided to:
- Draw rectangles of different dimensions.
- Subdivide rectangles into unit squares.
- Calculate areas using the formula (length × width).
- Solve problems involving rectangular areas.

How do we calculate the area of a rectangle?

- Top Scholar Mathematics Grade 7 page 113.
- Grid paper.
- Rulers.
- Rectangular objects.

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

MEASUREMENTS

Area - Area of a parallelogram

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.

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

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

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.

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

MEASUREMENTS

Area - Area of borders

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

- Calculate the area of borders between two shapes.
- Apply appropriate formulas for different shapes.
- Develop confidence in solving complex area problems.

In groups and individually, learners are guided to:
- Identify borders between two shapes.
- Calculate the area of borders by subtraction.
- Solve problems involving borders of different shapes.
- Apply the concept to real-life scenarios.

How do we calculate the area of a border?

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

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

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

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

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.

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

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

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.

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

MEASUREMENTS

Volume and Capacity - Working out capacity of containers

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.

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

MEASUREMENTS

Time, Distance and Speed - Units of measuring 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.

- 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 as distance covered per unit time

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

- Define speed as distance covered per unit time.
- Calculate speed given distance and time.
- Appreciate the concept of speed in daily life.

In groups and individually, learners are guided to:
- Participate in activities involving distance and time.
- Calculate speed using the formula (distance ÷ time).
- Discuss real-life examples of speed.
- Solve problems involving speed calculations.

What is speed?

- Top Scholar Mathematics Grade 7 page 140.
- Stop watches.
- Measuring tapes.
- Calculators.

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

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

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.

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

MEASUREMENTS

Time, Distance and Speed - Converting units of speed

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.

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

MEASUREMENTS

Temperature - Describing and comparing temperature

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

- Describe temperature conditions as warm, hot, or cold.
- Compare temperatures using comparative terms.
- Appreciate the role of temperature in daily life.

In groups and individually, learners are guided to:
- Observe and describe temperature conditions.
- Compare temperatures using terms like hotter, colder, warmer.
- Touch various objects to compare temperatures.
- Discuss how temperature affects daily activities.

How does temperature affect our everyday lives?

- Top Scholar Mathematics Grade 7 page 147.
- Thermometers.
- Objects of different temperatures.
- Weather charts.

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

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

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.

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

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

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.

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

MEASUREMENTS

Money - Discount

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.

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

MEASUREMENTS

Money - Percentage discount

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.

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

MEASUREMENTS

Money - Commission
Money - Percentage commission

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

- Calculate commission on sales.
- Apply commission rates correctly.
- Appreciate the role of commission in business.

In groups and individually, learners are guided to:
- Understand commission as payment for services.
- Calculate commission for different sales values.
- Solve word problems involving commission.
- Discuss real-life examples of commission-based work.

What is commission?

- Top Scholar Mathematics Grade 7 page 160.
- Calculators.
- Commission rate cards.
- Word problem cards.
- Top Scholar Mathematics Grade 7 page 162.
- Commission percentage cards.

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

MEASUREMENTS

Money - Interpreting bills

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

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

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

What information do bills contain?

- Top Scholar Mathematics Grade 7 page 164.
- Sample bills and receipts.
- Calculators.
- Shopping receipts.

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

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

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.

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

MEASUREMENTS

Money - Mobile money services

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.

- 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

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.

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

GEOMETRY

Angles - Angles at a point

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.

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

GEOMETRY

Angles - Angles on a transversal

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.

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

GEOMETRY

Angles - Angles in a parallelogram

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.

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

GEOMETRY

Angles - Angle properties 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.

- 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

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.

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

GEOMETRY

Geometrical Constructions - Measuring 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.

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

GEOMETRY

Geometrical Constructions - Bisecting angles

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.

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

GEOMETRY

Geometrical Constructions - Construction of 90°

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.

- 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

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.

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

GEOMETRY

Geometrical Constructions - Constructing triangles

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.

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

GEOMETRY

Geometrical Constructions - Constructing circles

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.

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