Module Workbook

Module 13: Mathematics

Inequalities, vectors, and matrices.

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

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SECTION: MATHEMATICS

MODULE: 13

Part A: Units

1. Linear inequalities

a. Formation of linear inequalities

b. Solution of linear inequalities

c. Graphical representation on a number line

d. Solution of simultaneous linear inequalities

e. Application to real life situations

2. Vectors (1)

a. Definition of a vector

b. Representation of vectors

c. Magnitude and direction

d. Addition and subtraction of vectors

e. Column vectors

3. Matrices (1)

a. Definition of matrices

b. Types of matrices

c. Matrix addition and subtraction

d. Scalar multiplication

Part B: Project

Apply inequalities, vectors, and matrices to real situations.

Project Title: Inequalities, Vectors, and Matrices Practice

Objective: Solve applied problems using inequalities, vectors, and matrices.

Project Instructions:

1. Create two real-life inequalities and solve them.
2. Represent the solutions on a number line.
3. Add and subtract two vectors using column notation.
4. Perform matrix addition and scalar multiplication.
5. Consult your coach where necessary.

Evidence to Submit:

• Inequality solutions and number line.
• Vector calculations.
• Matrix operations.

Submission

Part C: Training Others

Guide a peer on inequalities, vectors, and matrices.

Guidance:

• Solve one inequality and show it on a number line.
• Demonstrate vector addition using column vectors.
• Explain a simple matrix operation.

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:

• Linear inequalities:
• Vectors and column vectors:
• Matrix operations:

Coach assessment:

• Linear inequalities:
• Vectors and column vectors:
• Matrix operations:

Submission

Ready for the next module?

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

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