| KLB Form 3 Mathematics Schemes of Work Term 3 2020/2021 | |||||||
| WK NO. | L/NO. | TOPIC/SUB-TOPIC | LESSON OBJECTIVES | TEACHING/LEARNING ACTIVITIES | MATERIALS/RESOURCES | REFERENCES | REMARKS |
| 1 | 1 | Direct variation. | By the end of the lesson, the learner should be able to: Evaluate expressions involving direct variation |
Probing questions Worked examples Oral exercises Written exercises |
KLB BK III Pg. 194-7 | ||
| 2 | Inverse variation. | By the end of the lesson, the learner should be able to: Evaluate expressions involving inverse variations. |
Probing questions Drawing a graph showing inverse variation Worked examples Oral exercises Written exercises |
KLB BK III Pg.197-201 | |||
| 3, 4 | Partial variation. |
By the end of the lesson, the learner should be able to: |
Exposition Worked examples Oral exercises Written exercises |
KLB BK III Pg.201-4 | |||
| 5 | Formulating expressions on partial variation. | By the end of the lesson, the learner should be able to: Formulate expressions involving partial variations. Evaluate formulated expressions involving partial variations. |
Exposition Worked examples Oral exercises Written exercises |
KLB BK III Pg.201-4 | |||
| 6, 7 | Joint variation | By the end of the lesson, the learner should be able to: Evaluate given expressions involving joint variations. |
Review direct and inverse variation. Worked examples Written exercises |
KLB BK III Pg.204-5 | |||
| 2 | 1 | Further joint variation. | By the end of the lesson, the learner should be able to: Evaluate expressions involving joint variations and changing variables. |
Worked examples Written exercises Exercise review |
KLB BK III Pg.205-6 | ||
| 2 | SEQUENCES AND SERIES Sequences. |
By the end of the lesson, the learner should be able to: Determine the nth term in a sequence Deduce the rule used in the sequence. |
Guided discovery Oral exercises Written exercises |
KLB BK III Pg.207-8 | |||
| 3, 4 | Arithmetic sequence. | By the end of the lesson, the learner should be able to: Identify an arithmetic sequence Find unknown terms in an arithmetic sequence. |
Guided discovery Oral exercises Written exercises |
KLB BK III Pg.209-11 | |||
| 5 | Geometric sequence. | By the end of the lesson, the learner should be able to: Identify a geometric sequence Find unknown terms in a geometric sequence. |
Guided discovery Oral exercises Written exercises |
KLB BK III Pg.211-4 | |||
| 6, 7 | Arithmetic progression. | By the end of the lesson, the learner should be able to: Find numbers of term in an A.P. Find the sum of given terms of an A.P. |
Exposition Supervised practice Written exercise |
KLB BK III Pg.214-16 | |||
| 3 | 1 | Geometric progression. | By the end of the lesson, the learner should be able to: Find numbers of term in a G.P. Find the sum of given terms of a G.P. |
Guided discovery Oral exercises Written exercises |
KLB BK III Pg.216-220 | ||
| 2, 3 | Arithmetic and geometric progressions. | By the end of the lesson, the learner should be able to: Work out expressions involving both arithmetic and geometric progressions. |
Worked examples Supervised practice Mixed exercise |
Past exam papers | KLB BK III Pg.216-220 | ||
| 4 | VECTORS (II) Co-ordinates of a point in three dimensions. |
By the end of the lesson, the learner should be able to: State co-ordinates of a point in three dimensions. |
Q/A to review co-ordinates in two dimensions Exposition of Z-axis Oral exercise |
Wire mesh in three dimensions | KLB BK III Pg.221-2 | ||
| 5, 6 | Column vectors. | By the end of the lesson, the learner should be able to: Find a column vectors given two points. |
Q/A to review column vector and position vectors in two dimensions. Worked examples Written exercise |
KLB BK III Pg.223-6 | |||
| 7 | Column vectors in terms of unit vectors. | By the end of the lesson, the learner should be able to: Find a column vectors in terms of unit vectors. |
Q/A to review unit vectors in two dimensions. |
KLB BK III Pg.226-8 | |||
| 4 | 1, 2 | Magnitude of a vector. | By the end of the lesson, the learner should be able to: Find the magnitude of a vector in three dimensions. |
Q/A to review magnitude of a vector in two dimensions Worked examples Oral exercise Written exercise |
KLB BK III Pg.229-230 | ||
| 3, 4 | Parallel vectors. | By the end of the lesson, the learner should be able to: Identify parallel vectors. |
Worked examples Oral exercise Written exercise |
Geoboard | KLB BK III Pg.231-2 | ||
| 5, 6 | Collinear points. | By the end of the lesson, the learner should be able to: Show that three points are collinear. |
Worked examples Oral exercise Written exercise |
Geoboard | KLB BK III Pg.231-2 | ||
| 7 | Parallel vectors and collinear points. | By the end of the lesson, the learner should be able to: Evaluate parallel vectors and collinear points. |
Worked examples Oral exercise Written exercise |
Past exam papers | KLB BK III Pg.233-7 | ||
| 5 | 1, 2 | Internal division of a line. | By the end of the lesson, the learner should be able to: Determine the ratio a point divides a segmented line. |
Oral exercise Written exercise |
KLB BK III Pg.237-8 | ||
| 3, 4 | External division of a line. | By the end of the lesson, the learner should be able to: Determine the ratio an external point divides a segmented line. |
Oral exercise Written exercise |
KLB BK III Pg.238-9 | |||
| 5, 6 | The ratio theorem. | By the end of the lesson, the learner should be able to: Apply the ratio theorem. |
Guided discovery Worked examples |
KLB BK III Pg.240-8 | |||
| 7 | Using the ratio theorem. | By the end of the lesson, the learner should be able to: Apply the ratio theorem. |
Guided discovery Worked examples |
KLB BK III Pg.240-8 | |||
| 6 | 1 | Vectors and geometry. | By the end of the lesson, the learner should be able to: Apply vectors in geometry. |
Worked examples Oral exercise Written exercise Exercise review |
KLB BK III Pg.249-250 | ||
| 2 | BIONOMIAL EXPANSIONS. Pascal's triangle. |
By the end of the lesson, the learner should be able to: Use Pascal's triangle to determine coefficients of terms of a binomial expression. |
Q/A to review expansion of quadratic expressions Exposition of new concepts |
Mathematical tables | KLB BK III Pg.256-8 | ||
| 3 | Binomial expressions. | By the end of the lesson, the learner should be able to: Expand binomial expressions. |
Worked examples Supervised practice Written exercise |
Mathematical tables | KLB BK III Pg.256-8 | ||
| 4 | Further binomial expressions. | By the end of the lesson, the learner should be able to: Expand further binomial expressions. |
Worked examples Supervised practice Written exercise |
Mathematical tables | KLB BK III Pg.258-9 | ||
| 5 | Application of binomial expressions | By the end of the lesson, the learner should be able to: Evaluate binomial expressions. |
Worked examples Supervised practice Compare results with a calculator Written exercise |
Mathematical tables Calculator |
KLB BK III Pg.260-1 | ||
| 6, 7 | Further application of binomial expressions. | By the end of the lesson, the learner should be able to: Evaluate further binomial expressions. |
Worked examples Supervised practice Compare results with a calculator Written exercise Exercise review |
Mathematical tables Calculator |
KLB BK III Pg.260-1 | ||
| 7 | 1 | PROBABILITY Experimental probability. |
By the end of the lesson, the learner should be able to: Define probability. Find experimental probability. |
Practical activities Guided discovery Simple problem solving |
KLB BK III Pg.262-6 | ||
| 2 | Probability sample space. | By the end of the lesson, the learner should be able to: Define a probability sample space. Determine probability sample space. |
Exposition leading to discovery of sample space Simple problem solving |
KLB BK III Pg.266-270 | |||
| 3 | Theoretical probability. | By the end of the lesson, the learner should be able to: Find theoretical probability form given situations. |
Worked examples Written exercise |
KLB BK III Pg.270-2 | |||
| 4, 5 | Mutually excusive events. | By the end of the lesson, the learner should be able to: Identify mutually exclusive events. Determine the probability of mutually exclusive events. |
Exposition Worked examples Written exercise |
KLB BK III Pg.272-4 | |||
| 6, 7 | C.A.T & MID-TERM BREAK | KLB BK III Pg.274-6 | |||||
| 8 | 1 | Independent events. | By the end of the lesson, the learner should be able to: Identify independent events. Determine probability of independent events. |
Exposition Worked examples Written exercise |
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| 2 | Mutually excusive and independent events. | By the end of the lesson, the learner should be able to: Determine the probability of both independent and mutually exclusive events. |
Worked examples Supervised practice Written exercise |
KLB BK III Pg.277-282 | |||
| 3 | Further mutually excusive and independent events. | By the end of the lesson, the learner should be able to: Determine the probability of both independent and mutually exclusive events. |
Problem solving Exercises review |
KLB BK III Pg.277-282 | |||
| 4 | Tree diagrams. | By the end of the lesson, the learner should be able to: Illustrate probability spaces with tree diagrams. |
Guided discovery Completing tree diagrams Worked examples Supervised practice Written exercise |
KLB BK III Pg.282-7 | |||
| 5, 6 | Probability using tree diagrams. | By the end of the lesson, the learner should be able to: Use tree diagrams to work out probability. |
Guided discovery Worked examples Supervised practice Written exercise Exercise review |
KLB BK III Pg.282-7 | |||
| 7 | Further tree diagrams. | By the end of the lesson, the learner should be able to: Use tree diagrams to work out probability. |
Guided discovery Worked examples Supervised practice Written exercise Exercise review |
KLB BK III Pg.282-7 | |||
| 9 | 1 | COMPOUND PROPORTION AND RATE OF WORK Proportion. |
By the end of the lesson, the learner should be able to: Identify values that make continued proportional expressions. |
Probing questions Simple problem solving Oral exercise Written exercise |
KLB BK III Pg.288-291 | ||
| 2 | Proportion parts. | By the end of the lesson, the learner should be able to: Divide a figure in given proportional parts. |
Worked examples Supervised practice Written exercise |
KLB BK III Pg.291-3 | |||
| 3 | Rates of work. | By the end of the lesson, the learner should be able to: Evaluate sums on rates of work. |
Worked examples Supervised practice Written exercise Problem solving |
KLB BK III Pg.294-8 | |||
| 4 | Mixtures. | By the end of the lesson, the learner should be able to: Work out numerical questions involving mixtures. |
Worked examples Supervised practice Written exercise Problem solving |
KLB BK III Pg.295-8 | |||
| 5 | Rates of work and mixtures. | By the end of the lesson, the learner should be able to: Work out numerical questions involving rates of work and mixtures. |
Problem solving Exercise review |
KLB BK III Pg.294-8 | |||
| 6 | GRAPHICAL METHODS. Tables of functions. |
By the end of the lesson, the learner should be able to: Complete tables of given functions. |
Completing tables | Calculator | KLB BK III Pg.299-300 | ||
| 7 | Graphs of functions. | By the end of the lesson, the learner should be able to: Draw graphs of given functions. |
Completing tables Drawing graphs Reading off values from the graphs |
Calculator Graph books |
KLB BK III Pg.300-1 | ||
| 10 | 1 | Cubic expressions. | By the end of the lesson, the learner should be able to: Identify cubic expressions. Draw graphs for cubic expressions. |
Completing tables Drawing graphs Reading off values from the graphs |
Calculator Graph books |
KLB BK III Pg.300-1 | |
| 2 | Solutions of cubic equations. | By the end of the lesson, the learner should be able to: Use graphs to find solutions of cubic equations. |
Completing tables Drawing graphs Reading off values from the graphs Solving equations |
Calculator Graph books |
KLB BK III Pg.301-4 | ||
| 3 | Average rate of change. | By the end of the lesson, the learner should be able to: Determine average rate of change of a variable with another. |
Interpreting graphs Drawing graphs Worked examples Written exercise |
Graph books | KLB BK III Pg.304-9 | ||
| 4 | Instantaneous rate of change. | By the end of the lesson, the learner should be able to: Determine rate of change of a variable at an instant. |
Interpreting graphs Worked examples Written exercise |
Graph books | KLB BK III Pg.309-15 | ||
| 5 | Empirical graphs. | By the end of the lesson, the learner should be able to: Draw graphs from empirical situations. |
Drawing graphs Reading off values from the graphs |
Graph books | KLB BK III Pg.315-8 | ||
| 6, 7 | Changing non-linear laws to linear form. | By the end of the lesson, the learner should be able to: Change non-linear laws to linear form. Complete tables for linear forms. |
Reduction of laws Completing tables Supervised practice |
Graph books | KLB BK III Pg.318-25 | ||
| 11 | 1 | Non-linear laws to linear form. | By the end of the lesson, the learner should be able to: Change non-linear laws to linear form. Draw suitable graphs from the laws. |
Completing tables Drawing graphs Supervised practice Written exercise |
Graph books Calculator |
KLB BK III Pg.318-25 | |
| 2 | Equation of a circle, center origin. | By the end of the lesson, the learner should be able to: Find equation of a circle with the center as the origin. |
Guided discovery Worked examples Written exercise |
KLB BK III Pg.325-6 | |||
| 3 | Equation of a circle, center (a, b) | By the end of the lesson, the learner should be able to: Find equation f a circle given center (a, b) |
Guided discovery Worked examples Supervised practice Written exercise |
KLB BK III Pg.326-7 | |||
| 4, 5 | Equation of a circle, given its diameter. | By the end of the lesson, the learner should be able to: Find the equation of a circle given its diameter. |
Review mid-point of a vector Worked examples Supervised practice Written exercise |
KLB BK III Pg.326-7 | |||
| 6, 7 | Center and radius of a circle. | By the end of the lesson, the learner should be able to: Determine center and radius of a circle from an equation. |
Review completing the square Worked examples Supervised practice Written exercise |
KLB BK III Pg.328-9 | |||
| END OF YEAR EXAMS | |||||||
KLB Form 3 Mathematics Schemes of Work Term 3 2020/2021
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Form 3 Term 3 Schemes of Work 2020/2021
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