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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
REPORTING AND REVISION |
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| 2 | 1 |
Matrices
|
Matrix representation and order of matrix
Addition of matrix |
By the end of the
lesson, the learner
should be able to:
Represent matrix State the order of a matrix Add matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 168-170 |
|
| 2 | 2 |
Matrices
|
Subtraction of matrices
Combined addition and subtraction of matrices |
By the end of the
lesson, the learner
should be able to:
Subtract matrices Perform the combined operation on matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 171 |
|
| 2 | 3 |
Matrices
|
Matrix multiplication
|
By the end of the
lesson, the learner
should be able to:
Multiply matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 174-175 |
|
| 2 | 4 |
Matrices
|
Matrix multiplication
Identity matrix |
By the end of the
lesson, the learner
should be able to:
Multiply matrices Find the identity matrix |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 176-179 |
|
| 2 | 5 |
Matrices
|
Determinant of a 2
Inverse of a 2 |
By the end of the
lesson, the learner
should be able to:
Find the determinant of a 2 Calculate the inverse of a 2 |
Discussions
Solving Demonstrating Explaining |
Calculator
|
KLB Mathematics
Book Three Pg 183 |
|
| 2 | 6 |
Matrices
|
Inverse of a 2
|
By the end of the
lesson, the learner
should be able to:
Calculate the inverse of a 2 |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 186-187 |
|
| 2 | 7 |
Matrices
|
Solutions of simultaneous equations by matrix method
Solutions of simultaneous equations by matrix method |
By the end of the
lesson, the learner
should be able to:
Solve simultaneous equations by matrix method |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 188-190 |
|
| 3 | 1 |
Matrices
Formulae and variations |
Problem solving
Formulae |
By the end of the
lesson, the learner
should be able to:
Calculate the inverse of a matrix Solve simultaneous equations by matrix method Make subject of the given formula |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 190 |
|
| 3 | 2 |
Formulae and variations
|
Direct variation
Inverse variation |
By the end of the
lesson, the learner
should be able to:
Solve problems involving direct variations Solve problems involving inverse variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 194-196 |
|
| 3 | 3 |
Formulae and variations
|
Partial variation
|
By the end of the
lesson, the learner
should be able to:
Solve problems involving partial variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 201-203 |
|
| 3 | 4 |
Formulae and variations
|
Joint variation
Joint variation |
By the end of the
lesson, the learner
should be able to:
Solve problems involving join variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 204-205 |
|
| 3 | 5 |
Sequences and series
|
Sequences
Arithmetic sequences |
By the end of the
lesson, the learner
should be able to:
Find the next terms Find the nth term of a given arithmetic sequence |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 207-208 |
|
| 3 |
CAT ONE |
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| 4 | 1 |
Sequences and series
|
Geometric sequence
|
By the end of the
lesson, the learner
should be able to:
Find the nth term of a given geometric sequence |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 211-213 |
|
| 4 | 2 |
Sequences and series
|
Arithmetic series
Geometric series |
By the end of the
lesson, the learner
should be able to:
Find the nth term of a given arithmetic series Find the nth term of a given geometric series |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 214-215 |
|
| 4 | 3 |
Sequences and series
Vectors II |
Geometric series
Coordinates in two dimensions |
By the end of the
lesson, the learner
should be able to:
Find the nth term of a given geometric series Identify the coordinates of appoint in two dimensions |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 216-219 |
|
| 4 | 4 |
Vectors II
|
Coordinates in three dimensions
|
By the end of the
lesson, the learner
should be able to:
Identify the coordinates of appoint in three dimensions |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 222 |
|
| 4 | 5 |
Vectors II
|
Column vectors
Position vector |
By the end of the
lesson, the learner
should be able to:
Find a displacement and represent it in column vector Calculate the position vector |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 223-224 |
|
| 4 | 6 |
Vectors II
|
Unit vectors
Unit vectors |
By the end of the
lesson, the learner
should be able to:
Express vectors in terms of unit vectors |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 226-228 |
|
| 4 | 7 |
Vectors II
|
Magnitude of a vector in three dimensions
|
By the end of the
lesson, the learner
should be able to:
Calculate the magnitude of a vector in three dimensions |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 229-230 |
|
| 5 | 1 |
Vectors II
|
Parallel vectors
Collinear points |
By the end of the
lesson, the learner
should be able to:
Identify parallel vectors Show that points are collinear |
Discussions
Solving Demonstrating Explaining |
Geoboard
|
KLB Mathematics
Book Three Pg 231-232 |
|
| 5 | 2 |
Vectors II
|
Collinear points
Proportion division of a line |
By the end of the
lesson, the learner
should be able to:
Show that points are collinear Divide a line internally in the given ratio |
Discussions
Solving Demonstrating Explaining |
Geoboard
Geoboard, calculators |
KLB Mathematics
Book Three Pg 233-234 |
|
| 5 | 3 |
Vectors II
|
Proportion division of a line
Proportion division of a line |
By the end of the
lesson, the learner
should be able to:
Divide a line externally in the given ratio Divide a line internally and externally in the given ratio |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 238 |
|
| 5 | 4 |
Vectors II
|
Ratio theorem
|
By the end of the
lesson, the learner
should be able to:
Express position vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 240 |
|
| 5 | 5 |
Vectors II
|
Ratio theorem
Mid-point |
By the end of the
lesson, the learner
should be able to:
Find the position vector Find the mid-points of the given vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 242 |
|
| 5 | 6 |
Vectors II
|
Ratio theorem
Ratio theorem |
By the end of the
lesson, the learner
should be able to:
Use ratio theorem to find the given vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 244-245 |
|
| 5 | 7 |
Vectors II
|
Applications of vectors
|
By the end of the
lesson, the learner
should be able to:
Use vectors to show the diagonals of a parallelogram |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 248-249 |
|
| 6 | 1 |
Vectors II
Binomial expansion |
Applications of vectors
Binomial Expansion up to power four |
By the end of the
lesson, the learner
should be able to:
Use vectors to show the diagonals of a rectangle Expand binomial function up to power four |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
calculators |
KLB Mathematics
Book Three Pg |
|
| 6 | 2 |
Binomial expansion
|
Pascal
Pascal |
By the end of the
lesson, the learner
should be able to:
Use Pascal |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 256-257 |
|
| 6 | 3 |
Binomial expansion
|
Pascal
|
By the end of the
lesson, the learner
should be able to:
Use Pascal |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 258-259 |
|
| 6 | 4 |
Binomial expansion
|
Applications to numerical cases
Applications to numerical cases |
By the end of the
lesson, the learner
should be able to:
Use binomial expansion to solve numerical problems |
Discussions
Solving Demonstrating Explaining |
calculators
Calculators |
KLB Mathematics
Book Three Pg 259-260 |
|
| 6 | 5 |
Probability
|
Experimental probability
Experimental probability |
By the end of the
lesson, the learner
should be able to:
Calculate the experimental probability |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 262-264 |
|
| 6 | 6 |
Probability
|
Range of probability measure
|
By the end of the
lesson, the learner
should be able to:
Calculate the range of probability measure |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 265-266 |
|
| 6 | 7 |
Probability
|
Probability space
Probability space |
By the end of the
lesson, the learner
should be able to:
Calculate the probability space for the theoretical probability |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 266-267 |
|
| 7 | 1 |
Probability
|
Combined events
Combined events |
By the end of the
lesson, the learner
should be able to:
Find the probability of a combined events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 272-273 |
|
| 7 | 2 |
Probability
|
Independent events
Independent events |
By the end of the
lesson, the learner
should be able to:
Find the probability of independent events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 274-275 |
|
| 7 | 3 |
Probability
|
Independent events
|
By the end of the
lesson, the learner
should be able to:
Find the probability of independent events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 278-280 |
|
| 7 | 4 |
Probability
|
Tree diagrams
Tree diagrams |
By the end of the
lesson, the learner
should be able to:
Draw tree diagrams to show the probability space Use tree diagrams to find probability |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 282 |
|
| 7 | 5 |
Probability
Compound proportions and rate of work |
Tree diagrams
Compound proportions |
By the end of the
lesson, the learner
should be able to:
Use tree diagrams to find probability Find the compound proportions |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
Calculators |
KLB Mathematics
Book Three Pg 283-285 |
|
| 7 |
CAT TWO |
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| 8 | 1 |
Compound proportions and rate of work
|
Compound proportions
|
By the end of the
lesson, the learner
should be able to:
Find the compound proportions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 290-291 |
|
| 8 | 2 |
Compound proportions and rate of work
|
Proportional parts
Rates of work |
By the end of the
lesson, the learner
should be able to:
Calculate the proportional parts Calculate the rate of work |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 291-293 |
|
| 8 | 3 |
Compound proportions and rate of work
|
Rates of work
Rates of work |
By the end of the
lesson, the learner
should be able to:
Calculate the rate of work |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 295-296 |
|
| 8 | 4 |
Graphical methods
|
Tables of given relations
|
By the end of the
lesson, the learner
should be able to:
Draw tables of given relations |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 299 |
|
| 8-9 |
MIDTERM BREAK |
|||||||
| 9 | 2 |
Graphical methods
|
Graphs of given relations
Graphical solution of cubic equations |
By the end of the
lesson, the learner
should be able to:
Draw graphs of given relations Draw tables of cubic functions |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 300 |
|
| 9 | 3 |
Graphical methods
|
Graphical solution of cubic equations
Average rates of change |
By the end of the
lesson, the learner
should be able to:
Draw graphs of cubic equations Calculate the average rates of change |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 302-304 |
|
| 9 | 4 |
Graphical methods
|
Rate of change at an instant
|
By the end of the
lesson, the learner
should be able to:
Calculate the rate of change at an instant |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 310-311 |
|
| 9 | 5 |
Graphical methods
|
Empirical graphs
Reduction of non-linear laws to linear form |
By the end of the
lesson, the learner
should be able to:
Draw the empirical graphs Draw the graphs of reduction of non-linear laws to linear form |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 315-316 |
|
| 9 | 6 |
Graphical methods
|
Reduction of non-linear laws to linear form
Reduction of non-linear laws to linear form |
By the end of the
lesson, the learner
should be able to:
Draw the graphs of reduction of non-linear laws to linear form |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
Geoboard & graph bookss |
KLB Mathematics
Book Three Pg 318-321 |
|
| 9 | 7 |
Graphical methods
|
Equation of a circle
Equation of a circle |
By the end of the
lesson, the learner
should be able to:
Find the equation of a circle |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 325-326 |
|
| 10 | 1 |
Graphical methods
|
Equation of a circle
|
By the end of the
lesson, the learner
should be able to:
Find the equation of a circle |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 327-328 |
|
| 10 | 2 |
Matrices and
Transformation
|
Transformation on a
Cartesian plane
Identification of transformation matrix |
By the end of the
lesson, the learner
should be able to:
Relate image and objects under a given transformation on the Cartesian plane Determine the matrix of a transformation |
Drawing objects and
their images on Cartesian plane Practice Ex 1.1 P5 Practice exercise KLB EX 1.2 and 1.3 |
Square boards
Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 1-3 - KLB Pg 1-6 |
|
| 10 | 3 |
Matrices and
Transformation
|
Successive
transformation
|
By the end of the
lesson, the learner
should be able to:
Perform successive transformation |
Drawing objects and its successive images KLB Ex 1.4 |
Square boards Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 15-17 - KLB Pg 16-24 |
|
| 10 | 4 |
Matrices and
Transformation
|
Single matrix of
transformation for
successive transformation
|
By the end of the
lesson, the learner
should be able to:
Determine and identify a single matrix for successive transformation |
Drawing objects and its successive images KLB Ex 1.4 |
Square boards Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 15-17 - KLB Pg 21 |
|
| 10 | 5 |
Matrices and
Transformation
|
Relate Identity Matrix
and Transformation
Inverse of a matrix area scale factor and determinant of a matrix |
By the end of the
lesson, the learner
should be able to:
Relate identity matrix and transformation Determine the inverse of a |
Practice exercise Ex 1.4
KLB BK 4 Practice exercise Ex 1.5 |
Calculators
|
- K.M, Advancing in
Math F4 Pg 13-14 - KLB Pg 22-24 |
|
| 10 | 6 |
Matrices and
Transformation
|
Area of scale factor
and determinant of a
matrix
|
By the end of the
lesson, the learner
should be able to:
Establish and use the relationship between area scale factor and determinant of a matrix |
Practice exercise Ex 1.5 KLB BK 4 pg 27 |
Boards and strings Peg boards and strings Rubber band Calculators |
- K.M, Advancing in
Math F4 Pg 17-19 - KLB Pg 26-27 |
|
| 10 | 7 |
Matrices and
Transformation
|
Shear and stretch
|
By the end of the
lesson, the learner
should be able to:
Determine shear and stretch |
Drawing objects and images under shear and stretch. Ex 1.6 |
Square boards Peg boards and strings Rubber band Calculators |
- K.M, Advancing in
Math F4 Pg 10-13 - KLB Pg 28-34 |
|
| 11-12 |
END TERM EXAMS |
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| 13 |
MARKING AND CLOSING |
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