Module 3: Mathematics
Ratios, percentages, and mensuration basics.
Use this workbook to practice core KCSE communication skills and record evidence of progress.
Module navigation
Move module to module
Use the navigation buttons to move through the workbook in sequence.
SECTION: MATHEMATICS
MODULE: 3
Part A: Units
1. Rates, ratio, percentages and proportions
a. Solving problems involving rates
b. Comparing quantities using ratio
c. Increase and decrease in a given ratio
d. Comparing ratios
e. Direct and inverse proportions
f. Fractions and decimals as percentages
g. Percentage increase and decrease
h. Application in real life situations
2. Length
a. Units of length
b. Conversion of units
c. Significant figures
d. Perimeter
e. Circumference
3. Area
a. Units of area
b. Conversion of units
c. Area of regular figures
d. Area of irregular shapes
e. Surface area of cube, cuboid and cylinder
4. Volume and capacity
a. Units of volume
b. Conversion of units
c. Volume of cube, cuboid and cylinder
d. Units of capacity
e. Conversion of capacity
f. Relationship between volume and capacity
g. Word problems involving volume and capacity
Part B: Project
Apply ratio, percentage, and measurement skills in a practical task.
Project Title: Measuring and Comparing Quantities
Objective: Use ratios, percentages, and measurement formulas to solve real-life problems.
Project Instructions:
- 1. Choose a real-life context (shopping, building, cooking, or transport).
- 2. Solve one ratio or proportion problem from the context.
- 3. Calculate a percentage increase or decrease from your data.
- 4. Measure or estimate length, area, or volume of an object.
- 5. Show all workings and conversions used.
- 6. Consult your coach where necessary.
Evidence to Submit:
- • Problem statement and data used.
- • Calculations for ratio/percentage and measurement.
- • Final answers with short explanations.
Submission
Part C: Training Others
Guide a learner through ratios, percentages, or measurement.
Guidance:
- • Explain one concept (ratio, percentage, or measurement formula).
- • Demonstrate a worked example.
- • Support the learner to solve a similar question.
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
Self-assessment:
- • Ratios, rates, and proportions:
- • Percentages and applications:
- • Length, perimeter, and circumference:
- • Area, volume, and capacity:
Coach assessment:
- • Ratios, rates, and proportions:
- • Percentages and applications:
- • Length, perimeter, and circumference:
- • Area, volume, and capacity:
Submission
Ready for the next module?
Keep your learning rhythm steady and record your reflections as you progress.