# Displaying items by tag: Schemes of Work

Thursday, 20 May 2021 13:40

## KLB Form 3 Mathematics Schemes of Work Term 3 2020/2021

 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 questionsWorked examplesOral exercisesWritten 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 questionsDrawing a graph showing inverse variationWorked examplesOral exercisesWritten exercises KLB BK III Pg.197-201 3, 4 Partial variation. By the end of the lesson, the learner should be able to:Evaluate given expressions involving partial variations. ExpositionWorked examplesOral exercisesWritten 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. ExpositionWorked examplesOral exercisesWritten 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 examplesWritten 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 examplesWritten exercisesExercise review KLB BK III Pg.205-6 2 SEQUENCES AND SERIESSequences. By the end of the lesson, the learner should be able to:Determine the nth term in a sequenceDeduce the rule used in the sequence. Guided discoveryOral exercisesWritten 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 sequenceFind unknown terms in an arithmetic sequence. Guided discoveryOral exercisesWritten 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 sequenceFind unknown terms in a geometric sequence. Guided discoveryOral exercisesWritten 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. ExpositionSupervised practiceWritten 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 discoveryOral exercisesWritten 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 examplesSupervised 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 dimensionsExposition of Z-axisOral 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 examplesWritten 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.Worked examplesOral exerciseWritten exercise 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 dimensionsWorked examplesOral exerciseWritten 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 examplesOral exerciseWritten 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 examplesOral exerciseWritten 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 examplesOral exerciseWritten 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 exerciseWritten 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 exerciseWritten 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 discoveryWorked 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 discoveryWorked 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 examplesOral exerciseWritten exerciseExercise 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 expressionsExposition 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 examplesSupervised practiceWritten 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 examplesSupervised practiceWritten 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 examplesSupervised practiceCompare results with a calculatorWritten exercise Mathematical tablesCalculator 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 examplesSupervised practiceCompare results with a calculatorWritten exerciseExercise review Mathematical tablesCalculator KLB BK III Pg.260-1 7 1 PROBABILITYExperimental probability. By the end of the lesson, the learner should be able to:Define probability.Find experimental probability. Practical activitiesGuided discoverySimple 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 spaceSimple 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 examplesWritten 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 examplesWritten 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 examplesWritten exercise 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 examplesSupervised practiceWritten 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 solvingExercises 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 discoveryCompleting tree diagramsWorked examplesSupervised practiceWritten 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 discoveryWorked examplesSupervised practiceWritten exerciseExercise 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 discoveryWorked examplesSupervised practiceWritten exerciseExercise review KLB BK III Pg.282-7 9 1 COMPOUND PROPORTION AND RATE OF WORKProportion. By the end of the lesson, the learner should be able to:Identify values that make continued proportional expressions. Probing questionsSimple problem solvingOral exerciseWritten 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 examplesSupervised practiceWritten 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 examplesSupervised practiceWritten exerciseProblem 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 examplesSupervised practiceWritten exerciseProblem 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 solvingExercise 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 tablesDrawing graphsReading off values from the graphs CalculatorGraph 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 tablesDrawing graphsReading off values from the graphs CalculatorGraph 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 tablesDrawing graphsReading off values from the graphsSolving equations CalculatorGraph 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 graphsDrawing graphsWorked examplesWritten 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 graphsWorked examplesWritten 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 graphsReading 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 lawsCompleting tablesSupervised 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 tablesDrawing graphsSupervised practiceWritten exercise Graph booksCalculator 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 discoveryWorked examplesWritten 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 discoveryWorked examplesSupervised practiceWritten 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 vectorWorked examplesSupervised practiceWritten 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 squareWorked examplesSupervised practiceWritten exercise KLB BK III Pg.328-9 END OF YEAR EXAMS
Tagged under
Wednesday, 19 May 2021 08:11