Module 7: Mathematics
Quadratic expressions, equations, and graphs.
Use this workbook to practice core KCSE communication skills and record evidence of progress.
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SECTION: MATHEMATICS
MODULE: 7
Part A: Units
1. Quadratic expressions
a. Expansion
b. Factorization
c. Simplification
2. Quadratic equations
a. Solution by factorization
b. Solution by formula
c. Solution by completing the square
d. Word problems
3. Graphs of quadratic functions
a. Plotting graphs
b. Turning points
c. Axis of symmetry
Part B: Project
Apply quadratic equations and graphs in a practical task.
Project Title: Quadratics in Action
Objective: Solve quadratic equations and interpret their graphs.
Project Instructions:
- 1. Expand and factorize two quadratic expressions.
- 2. Solve two quadratic equations using different methods.
- 3. Plot one quadratic function and identify turning point and axis.
- 4. Explain how the graph relates to the equation.
- 5. Consult your coach where necessary.
Evidence to Submit:
- • Simplified expressions and solutions.
- • Graph with turning point labeled.
- • Short explanation of the graph.
Submission
Part C: Training Others
Teach a peer about quadratics or graphing.
Guidance:
- • Explain factorization of quadratics.
- • Demonstrate one solving method.
- • Show how to plot a quadratic graph.
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:
- • Quadratic expressions:
- • Quadratic equations:
- • Graphs and turning points:
Coach assessment:
- • Quadratic expressions:
- • Quadratic equations:
- • Graphs and turning points:
Submission
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