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

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.

- 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
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

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
Money - Percentage 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.
- Top Scholar Mathematics Grade 7 page 158.
- Price tags with percentage discounts.
- Word problem cards.

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

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
Money - Preparing 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.
- Top Scholar Mathematics Grade 7 page 166.
- Bill templates.
- Price lists.

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

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
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

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
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°

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
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

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.

- 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.