Module Workbook

Module 15: Mathematics

Transformations, probability, and statistics.

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

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SECTION: MATHEMATICS

MODULE: 15

Part A: Units

1. Transformations

a. Translation

b. Reflection

c. Rotation

d. Enlargement

e. Combination of transformations

2. Probability (2)

a. Basic probability concepts

b. Experimental probability

c. Theoretical probability

d. Probability of combined events

3. Statistics (2)

a. Collection of data

b. Presentation of data

c. Measures of central tendency

d. Interpretation of data

Part B: Project

Apply transformations, probability, and statistics to real data.

Project Title: Transformations and Data Analysis

Objective: Demonstrate transformation skills and analyze a simple dataset.

Project Instructions:

1. Perform two transformations on a shape (with diagrams).
2. Carry out an experimental probability activity and record outcomes.
3. Compute theoretical probability for the same activity.
4. Collect a small dataset and present it in a table or chart.
5. Calculate mean, median, and mode and interpret the results.
6. Consult your coach where necessary.

Evidence to Submit:

• Transformation diagrams.
• Probability results and calculations.
• Data table/chart and central tendency measures.

Submission

Part C: Training Others

Guide a peer on transformations and data analysis.

Guidance:

• Demonstrate two transformations on a shape.
• Explain experimental vs theoretical probability.
• Show how to compute mean, median, and mode.

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:

• Transformations:
• Probability concepts:
• Statistics and interpretation:

Coach assessment:

• Transformations:
• Probability concepts:
• Statistics and interpretation:

Submission

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

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