Module 8: Mathematics
Trigonometry, geometry, and circles.
Use this workbook to practice core KCSE communication skills and record evidence of progress.
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SECTION: MATHEMATICS
MODULE: 8
Part A: Units
1. Trigonometry
a. Trigonometric ratios (sine, cosine, tangent)
b. Angles of elevation and depression
c. Application in real life problems
2. Geometry
a. Properties of triangles
b. Congruence and similarity
c. Pythagoras theorem
3. Circles
a. Parts of a circle
b. Angle properties of a circle
c. Tangents and chords
Part B: Project
Apply trigonometry, geometry, and circle properties in a practical task.
Project Title: Measuring Heights and Angles
Objective: Use trigonometric ratios and geometry to solve real-life measurement problems.
Project Instructions:
- 1. Choose a tall object and estimate its height using angle of elevation.
- 2. Draw a right triangle and apply sine, cosine, or tangent.
- 3. Solve one problem using Pythagoras theorem.
- 4. Identify parts of a circle and solve one angle property question.
- 5. Consult your coach where necessary.
Evidence to Submit:
- • Measurement diagram and calculations.
- • Pythagoras solution.
- • Circle angle property example.
Submission
Part C: Training Others
Teach a peer about trigonometry or circle properties.
Guidance:
- • Explain one trigonometric ratio and its use.
- • Demonstrate Pythagoras theorem with a simple example.
- • Show one circle angle property.
Reflection:
- • What concept did you teach?
- • What was difficult to explain?
- • What did you understand better after teaching?
Submission
Part D: Assessment
Competency Levels:
1 = Expectations not met
2 = Partially met
3 = Satisfactorily met
4 = Excellently met
Self-assessment:
- • Trigonometric ratios:
- • Geometry and Pythagoras:
- • Circle properties:
Coach assessment:
- • Trigonometric ratios:
- • Geometry and Pythagoras:
- • Circle properties:
Submission
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