GEOMETRY

Angles - Angles on a straight line
Angles - Angles at a point
Angles - Angles on a transversal

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°.

- 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 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.
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 straight line?
What are angles on a transversal?

- Top Scholar Mathematics Grade 7 page 175.
- Protractors.
- Rulers.
- Angle models.
- Top Scholar Mathematics Grade 7 page 177.
- 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
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

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.

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

GEOMETRY

Angles - Solving problems on angles and sides of polygons
Geometrical Constructions - Measuring angles
Geometrical Constructions - Bisecting 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.

- Measure angles using a protractor.
- Draw angles of specified sizes.
- Appreciate the importance of accurate measurement.

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.
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 solve problems involving polygon angles?
How do we measure angles accurately?

- Top Scholar Mathematics Grade 7 page 189.
- Protractors.
- Rulers.
- Polygon models.
- Problem cards.
- 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. - Project work.
- 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°

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.

- 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.

- 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:
- 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.
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 triangles using ruler and compasses?
How do we construct circles using compasses?

- Top Scholar Mathematics Grade 7 page 199.
- Pair of compasses.
- Rulers.
- Protractors.
- Plain paper.
- Top Scholar Mathematics Grade 7 page 202.
- Pair of compasses.
- Rulers.
- Plain paper.
- 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

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.

- 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
Data Handling - Interpretation of 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.

- 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:
- Create symbols for pictographs.
- Draw pictographs to represent data.
- Interpret information from pictographs.
- Discuss advantages and limitations of pictographs.
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 represent data in a pictograph?
How do we interpret data from a bar graph?

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

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.

- 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.