SUB TOPICS:
A. Introduction to Sets and Set notations
B. Element of a Set
C. Types of Sets e.g. Empty set, infinite sex e.t.c
D. Subset of a Set and Complement of a Set
E. Operations on Sets, Union and Intersection
LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Define set.
2 Use set notation to describe sets.
3 Identify different methods of representing sets and their advantages or limitations.
4 Identify different types of sets.
5 ETC
SUB TOPICS:
A. Revision of set notation and language
B. Universal sets and its notations
C. Set builder notations
D. Union and interception of two or three sets
E. Problem solving on venn diagrams
LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Identify the complement of a set.
2 Write and interpret sets of values using set builder notation.
3 ETC
SUB TOPICS:
A. Cyclic events
B. Modular arithmetic charts
C. Addition and subtraction of modulus
D. Multiplication and division of modulus
E. Quantitative reasoning on modular arithmetic
LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Define cyclic events.
2 Deduce and interpret cyclical events.
3 ETC
SUB TOPICS:
A. Factorizing quadratic expressions
B. Solving more difficult quadratic expressions
C. Solving quadratic equations using factorization
D. Solving quadratic equations with given roots
E. Word problems leading to quadratic equations
LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Factorize quadratic expressions thoroughly using: (a) grouping (b) factor methods.
2 Solve quadratic equations of the form ab = 0, a = 0 or b = 0
3 Use quadratic equations box to illustrate factorization and then solve the equations.
4 Use factorization to solve quadratic equations.
5 ETC
SUB TOPICS:
A. Construction of tables of values
B. Choosing a suitable scale and plotting the tabulated values
C. Drawing the graph of linear equations
D. Drawing the graph of quadratic equations
E. Quantitative reasoning
LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Make tables of values for given linear equation and use them to draw straight line graph within Cartesian axes.
2 Read off values from straight line graphs.
3 Draw the x and y axes, choose the scales and graduate the axes.
4 Construct tables of values for given quadratic functions.
5 ETC
SUB TOPICS:
A. Finding roots of equations from the graph
B. Formation of roots of equations
C. Minimum and maximum values or points
D. Calculation of Line of Symmetry
E. Graphical solution of quadratic equations
LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Find the roots of equation from a gievn graph.
2 Form a quadratic equation from a given graph.
3 ETC
SUB TOPICS:
A. Revision of ratio
B. Comparism of ratios
C. Rate
D. Proportional divisions
E. Problem solving involving ratio, rate and proportion
LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Express ratios in their simplest forms.
2 Compare and simplify ratios.
3 ETC
SUB TOPICS:
A. Pythagoras theorem
B. Trigonometrical ratios
C. Quadrant
D. Use of Mathematical Table
E. Basic angles in surd form
LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 State Pythagoras theorem.
2 Prove Pythagoras theorem.
3 ETC
SUB TOPICS:
A. Application of trigonometrical ratios
B. Angles of elevation and depression
C. Bearing (right-angled triangle)
D. Word problems involving right-angled triangle
E. Quantitative reasoning
LEARNING OBJECTIVES: At the end of the lesson, learners should be able to:
1 Describe angles of elevation and depression.
2 Apply trigonometry and Pythagoras theorem to solve angles of elevation and depression examples.
3 ETC