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

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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:
Evaluate given expressions involving partial variations.

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.
Worked examples
Oral exercise
Written 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 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
     
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
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