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
Time, Distance and Speed - Speed in km/h

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.
- Top Scholar Mathematics Grade 7 page 142.
- Speed charts.
- Word problem cards.

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

MEASUREMENTS

Time, Distance and Speed - Speed in m/s
Time, Distance and Speed - Converting units of speed

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.
- Top Scholar Mathematics Grade 7 page 144.
- Speed conversion charts.
- Word problem cards.

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

MEASUREMENTS

Temperature - Describing and comparing temperature
Temperature - Units of measuring 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.
- Top Scholar Mathematics Grade 7 page 148.
- Temperature conversion charts.
- IT devices for temperature readings.

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

MEASUREMENTS

Temperature - Converting units of temperature
Temperature - Working out temperature

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

- Convert between degrees Celsius and Kelvin.
- Apply the conversion formula correctly.
- Develop confidence in working with temperature units.

In groups and individually, learners are guided to:
- Understand the relationship between °C and K.
- Convert temperatures from °C to K.
- Convert temperatures from K to °C.
- Solve problems involving temperature conversions.

What is the relationship between degrees Celsius and Kelvin?

- Top Scholar Mathematics Grade 7 page 149.
- Temperature conversion charts.
- Calculators.
- Thermometers.
- Top Scholar Mathematics Grade 7 page 150.
- IT devices.

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

MEASUREMENTS

Money - Profit and loss
Money - Percentage profit and loss

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

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

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

Why do we need to understand profit and loss?

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

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

MEASUREMENTS

Money - Discount

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
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

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°
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.