Module Workbook

Module 9: Mathematics

Statistics, probability, and matrices.

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

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SECTION: MATHEMATICS

MODULE: 9

Part A: Units

1. Statistics

a. Collection of data

b. Classification of data

c. Presentation of data (tables, graphs, charts)

d. Measures of central tendency (mean, median, mode)

2. Probability

a. Basic probability concepts

b. Experimental probability

c. Theoretical probability

d. Applications

3. Matrices

a. Definition of matrices

b. Types of matrices

c. Matrix operations

d. Applications of matrices

Part B: Project

Apply statistics, probability, and matrices in practical tasks.

Project Title: Data, Chance, and Matrices

Objective: Collect data, compute probability, and use basic matrix operations.

Project Instructions:

1. Collect data from a small group and present it in a table or chart.
2. Calculate mean, median, and mode from your data.
3. Run a simple probability experiment and compare experimental vs theoretical probability.
4. Create two matrices and perform one operation (addition or multiplication).
5. Consult your coach where necessary.

Evidence to Submit:

• Data table/chart and calculations.
• Probability experiment notes.
• Matrix operation working.

Submission

Part C: Training Others

Teach a peer about statistics or probability.

Guidance:

• Explain mean, median, and mode with examples.
• Demonstrate a simple probability experiment.
• Introduce a basic matrix operation.

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:

• Statistics and data presentation:
• Probability concepts:
• Matrices operations:

Coach assessment:

• Statistics and data presentation:
• Probability concepts:
• Matrices operations:

Submission

Ready for the next module?

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

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