Module Workbook

Module 6: Mathematics

Indices, logarithms, surds, and inequalities.

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

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SECTION: MATHEMATICS

MODULE: 6

Part A: Units

1. Indices and logarithms

a. Laws of indices

b. Simplification using indices

c. Introduction to logarithms

d. Laws of logarithms

e. Applications

2. Surds

a. Simplification of surds

b. Rationalization

c. Operations with surds

3. Linear inequalities

a. Formation of inequalities

b. Solving inequalities

c. Graphical representation

Part B: Project

Practice indices, surds, and inequalities in applied problems.

Project Title: Indices, Surds, and Inequalities

Objective: Apply laws of indices, surds, and inequalities in real-world style tasks.

Project Instructions:

1. Solve three problems on indices or logarithms.
2. Simplify and rationalize two surd expressions.
3. Form and solve two linear inequalities.
4. Draw a simple graph for one inequality.
5. Consult your coach where necessary.

Evidence to Submit:

• Solved indices/logarithms problems.
• Surd simplifications and rationalization.
• Inequality solutions with graph.

Submission

Part C: Training Others

Teach a peer about indices, surds, or inequalities.

Guidance:

• Explain one law of indices or logarithms.
• Demonstrate surd simplification and rationalization.
• Solve a simple inequality and explain the graph.

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

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:

• Indices and logarithms:
• Surds and rationalization:
• Linear inequalities and graphs:

Coach assessment:

• Indices and logarithms:
• Surds and rationalization:
• Linear inequalities and graphs:

Submission

Ready for the next module?

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

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