Module Workbook

Module 1: Mathematics

Number systems, factors, divisibility, GCD, LCM, and integers.

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

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SECTION: MATHEMATICS

MODULE: 1

Part A: Units

Natural numbers;

a. Place values,

b. Rounding off numbers,

c. Odd numbers

d. Even numbers,

e. Prime numbers,

f. Word problems involving numbers

Factors;

a. Factors of composite numbers,

b. Prime factors,

c. Factors in power form

Divisibility tests;

Divisibility tests of numbers by: 2, 3, 4, 5, 6, 8, 9, 10, 11

Greatest Common Divisor (GCD);

a. GCD of a set of numbers,

b. Application of GCD in real life situations

Least Common Multiple (LCM)

a. Multiples of a number,

b. LCM of a set of numbers,

c. Application of LCM in real life situations

Integers;

a. Definition of integers,

b. The number line,

c. Operations on numbers,

d. Order of operations,

e. Application to real life situations

Part B: Project (Application Task)

Select a practical task that applies the concepts learned in this module. The task should demonstrate your ability to use numbers, factors, GCD, LCM, or integers in solving real-life problems.

Examples of suitable projects include:

• Creating a simple household or business budget using integers and operations
• Solving sharing or grouping problems using GCD and LCM
• Designing a timetable or schedule using multiples and factors
• Analyzing quantities in a real-life scenario such as shopping or transport

Instructions:

1. Clearly describe the problem or situation
2. Show all calculations and steps taken
3. Explain how the mathematical concepts were applied
4. Present your final solution clearly
5. Consult your coach where necessary

Submission

Part C: Training Others (Peer Learning)

This section helps you strengthen your understanding by teaching another learner.

Instructions:

1. Select at least one concept from this module (e.g., GCD, LCM, integers, or factors)
2. Explain the concept to a peer or study partner
3. Guide them through at least one example
4. Ask them to solve a similar problem and support them
5. Reflect on your experience

Reflection:

• What concept did you teach?
• What challenges did you face?
• What did you understand better after teaching?
• What areas do you still need help in?

Submission

Part D: Assessment (Performance Review)

Assessment helps track your progress and identify areas that need improvement.

Competency Level Scale:

1 = Expectations not met

2 = Expectations partially met

3 = Expectations satisfactorily met

4 = Expectations 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.

Assessment:

Self-Assessment: _

Coach’s Assessment: _

Assessment Focus:

• Understanding of number concepts
• Accuracy in calculations
• Ability to solve real-life problems
• Proper use of mathematical procedures
• Clarity in explanation

Guidance:

• If you score 1 or 2, revise and seek support
• If you score 3, continue practicing
• If you score 4, proceed to the next module

Submission

Ready for the next module?

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

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