Module Workbook

Module 16: Mathematics

Sequences, circles, and constructions.

Use this workbook to practice core KCSE communication skills and record evidence of progress.

Module navigation

Move module to module

Use the navigation buttons to move through the workbook in sequence.

Previous subject Next subject Programme overview

SECTION: MATHEMATICS

MODULE: 16

Part A: Units

1. Sequences and series

a. Arithmetic sequences

b. Arithmetic series

c. Geometric sequences

d. Geometric series

e. Application to real life situations

2. Circles (2)

a. Angle properties of a circle

b. Chords and arcs

c. Tangents to a circle

d. Cyclic quadrilaterals

3. Construction and loci

a. Geometrical constructions

b. Loci

c. Applications of loci

Part B: Project

Apply sequences, circle properties, and loci to practical tasks.

Project Title: Sequences, Circles, and Loci Practice

Objective: Solve real-life problems using sequences, circle theorems, and loci.

Project Instructions:

1. Solve one arithmetic and one geometric sequence problem.
2. Apply a circle theorem to find an unknown angle.
3. Draw a circle with a tangent and label key parts.
4. Construct a locus problem and explain the result.
5. Consult your coach where necessary.

Evidence to Submit:

• Sequence solutions.
• Circle theorem diagram and answers.
• Loci construction notes.

Submission

Part C: Training Others

Guide a peer on sequences, circle theorems, and loci.

Guidance:

• Explain arithmetic vs geometric sequences.
• Demonstrate a circle angle property.
• Walk through a simple loci construction.

Reflection:

• What did the learner understand well?
• What needed more explanation?
• What support do you need from your coach?

Submission

Part D: Assessment

Competency Levels:

1 = Expectations not met

2 = Partially met

3 = Satisfactorily met

4 = Excellently met

Coach assessment: Learner completes the self-assessment using the 1-4 scale. The coach prepares a short quiz or conversation (outside the system if needed) and assigns the coach score.

Self-assessment:

• Sequences and series:
• Circle properties and tangents:
• Construction and loci:

Coach assessment:

• Sequences and series:
• Circle properties and tangents:
• Construction and loci:

Submission

Ready for the next module?

Keep your learning rhythm steady and record your reflections as you progress.

Next subject Back to programme