Module Workbook

Module 4: Mathematics

Algebra, linear equations, and graphs.

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

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SECTION: MATHEMATICS

MODULE: 4

Part A: Units

1. Algebraic expressions

a. Expansion of brackets

b. Factorization

c. Algebraic fractions

d. Simplification

e. Substitution

2. Linear equations

a. Formation of equations

b. Solving linear equations

c. Word problems involving equations

3. Coordinates and graphs

a. Cartesian plane

b. Plotting points

c. Graphs of linear equations

Part B: Project

Apply algebra and linear equations in a practical task.

Project Title: Algebra and Graphs in Real Life

Objective: Use algebraic expressions, equations, and graphs to solve a real-world problem.

Project Instructions:

1. Create an algebraic expression for a real-life situation (budgeting, transport, or sales).
2. Form and solve a linear equation from the same situation.
3. Plot a simple linear graph using two points.
4. Explain what the graph represents.
5. Consult your coach where necessary.

Evidence to Submit:

• Expression and equation with solution.
• Graph of the linear equation.
• Short explanation of the graph.

Submission

Part C: Training Others

Guide a learner on algebra, equations, or graphs.

Guidance:

• Explain expansion and factorization with examples.
• Demonstrate solving one linear equation.
• Show how to plot two points on a 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:

• Algebraic expressions:
• Linear equations:
• Coordinates and graphs:

Coach assessment:

• Algebraic expressions:
• Linear equations:
• Coordinates and graphs:

Submission

Ready for the next module?

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

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