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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Matrices
|
Matrix representation and order of matrix
|
By the end of the
lesson, the learner
should be able to:
Represent matrix State the order of a matrix |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 168-170 |
|
| 2 | 2 |
Matrices
|
Addition of matrix
Subtraction of matrices |
By the end of the
lesson, the learner
should be able to:
Add matrices Subtract matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 170 |
|
| 2 | 3-4 |
Matrices
|
Combined addition and subtraction of matrices
Matrix multiplication |
By the end of the
lesson, the learner
should be able to:
Perform the combined operation on matrices Multiply matrices |
Discussions
Solving Demonstrating Explaining |
Chart showing tabular data
|
KLB Mathematics
Book Three Pg 171-174 KLB Mathematics Book Three Pg 174-175 |
|
| 2 | 5 |
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 | 6 |
Matrices
|
Determinant of a 2
|
By the end of the
lesson, the learner
should be able to:
Find the determinant of a 2 |
Discussions
Solving Demonstrating Explaining |
Calculator
|
KLB Mathematics
Book Three Pg 183 |
|
| 2 | 7 |
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 |
|
KLB Mathematics
Book Three Pg 183-185 |
|
| 3 | 1 |
Matrices
|
Inverse of a 2
Solutions of simultaneous equations by matrix method |
By the end of the
lesson, the learner
should be able to:
Calculate the inverse of a 2 Solve simultaneous equations by matrix method |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 186-187 |
|
| 3 | 2 |
Matrices
|
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 | 3-4 |
Matrices
Formulae and variations |
Problem solving
Formulae Direct variation |
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 Solve problems involving direct variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 190 KLB Mathematics Book Three Pg 191-193 |
|
| 3 | 5 |
Formulae and variations
|
Inverse variation
|
By the end of the
lesson, the learner
should be able to:
Solve problems involving inverse variations |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 197-200 |
|
| 3 | 6 |
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 | 7 |
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 |
|
| 4 | 1 |
Sequences and series
|
Sequences
|
By the end of the
lesson, the learner
should be able to:
Find the next terms |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 207-208 |
|
| 4 | 2 |
Sequences and series
|
Arithmetic sequences
|
By the end of the
lesson, the learner
should be able to:
Find the nth term of a given arithmetic sequence |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 209-210 |
|
| 4 | 3-4 |
Sequences and series
|
Geometric sequence
Arithmetic series Geometric series |
By the end of the
lesson, the learner
should be able to:
Find the nth term of a given geometric sequence Find the nth term of a given arithmetic series Find the nth term of a given geometric series |
Discussions
Solving Demonstrating Explaining Discussions Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 211-213 KLB Mathematics Book Three Pg 216-219 |
|
| 4 | 5 |
Sequences and series
|
Geometric series
|
By the end of the
lesson, the learner
should be able to:
Find the nth term of a given geometric series |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 216-219 |
|
| 4 | 6 |
Vectors II
|
Coordinates in two dimensions
Coordinates in three dimensions |
By the end of the
lesson, the learner
should be able to:
Identify the coordinates of appoint in two dimensions Identify the coordinates of appoint in three dimensions |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 221 |
|
| 4 | 7 |
Vectors II
|
Column vectors
|
By the end of the
lesson, the learner
should be able to:
Find a displacement and represent it in column vector |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 223-224 |
|
| 5 | 1 |
Vectors II
|
Position vector
|
By the end of the
lesson, the learner
should be able to:
Calculate the position vector |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 224 |
|
| 5 | 2 |
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 |
|
| 5 | 3-4 |
Vectors II
|
Magnitude of a vector in three dimensions
Parallel vectors |
By the end of the
lesson, the learner
should be able to:
Calculate the magnitude of a vector in three dimensions Identify parallel vectors |
Discussions
Solving Demonstrating Explaining |
calculators
Geoboard |
KLB Mathematics
Book Three Pg 229-230 KLB Mathematics Book Three Pg 231-232 |
|
| 5 | 5 |
Vectors II
|
Collinear points
Collinear points |
By the end of the
lesson, the learner
should be able to:
Show that points are collinear |
Discussions
Solving Demonstrating Explaining |
Geoboard
|
KLB Mathematics
Book Three Pg 232 |
|
| 5 | 6 |
Vectors II
|
Proportion division of a line
|
By the end of the
lesson, the learner
should be able to:
Divide a line internally in the given ratio |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 237-238 |
|
| 5 | 7 |
Vectors II
|
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 |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 238 |
|
| 6 | 1 |
Vectors II
|
Proportion division of a line
Ratio theorem |
By the end of the
lesson, the learner
should be able to:
Divide a line internally and externally in the given ratio Express position vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 239 |
|
| 6 | 2 |
Vectors II
|
Ratio theorem
|
By the end of the
lesson, the learner
should be able to:
Find the position vector |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 242 |
|
| 6 | 3-4 |
Vectors II
|
Mid-point
Ratio theorem Ratio theorem |
By the end of the
lesson, the learner
should be able to:
Find the mid-points of the given vectors Use ratio theorem to find the given vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 243 KLB Mathematics Book Three Pg 244-245 |
|
| 6 | 5 |
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 | 6 |
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 rectangle |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg |
|
| 6 | 7 |
Binomial expansion
|
Binomial Expansion up to power four
Pascal |
By the end of the
lesson, the learner
should be able to:
Expand binomial function up to power four Use Pascal |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 256 |
|
| 7 | 1 |
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 |
|
| 7 | 2 |
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 |
|
| 7 | 3-4 |
Binomial expansion
Probability |
Applications to numerical cases
Applications to numerical cases Experimental probability |
By the end of the
lesson, the learner
should be able to:
Use binomial expansion to solve numerical problems Calculate the experimental probability |
Discussions
Solving Demonstrating Explaining Discussions Solving Demonstrating Explaining |
calculators
Calculators |
KLB Mathematics
Book Three Pg 259-260 KLB Mathematics Book Three Pg 262-264 |
|
| 7 | 5 |
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 |
|
| 7 | 6 |
Probability
|
Range of probability measure
Probability space |
By the end of the
lesson, the learner
should be able to:
Calculate the range of probability measure Calculate the probability space for the theoretical probability |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators, charts |
KLB Mathematics
Book Three Pg 265-266 |
|
| 7 | 7 |
Probability
|
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 268-270 |
|
| 8 |
HALF TERM BREAK |
|||||||
| 9 | 1 |
Probability
|
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 |
|
| 9 | 2 |
Probability
|
Combined events
Independent events |
By the end of the
lesson, the learner
should be able to:
Find the probability of a combined events Find the probability of independent events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 273-274 |
|
| 9 | 3-4 |
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 276-277 KLB Mathematics Book Three Pg 278-280 |
|
| 9 | 5 |
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 |
|
| 9 | 6 |
Probability
|
Tree diagrams
|
By the end of the
lesson, the learner
should be able to:
Use tree diagrams to find probability |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 283-285 |
|
| 9 | 7 |
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 288-290 |
|
| 10 | 1 |
Compound proportions and rate of work
|
Compound proportions
Proportional parts |
By the end of the
lesson, the learner
should be able to:
Find the compound proportions Calculate the proportional parts |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 290-291 |
|
| 10 | 2 |
Compound proportions and rate 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 294-295 |
|
| 10 | 3-4 |
Compound proportions and rate of work
Compound proportions and rate of work Graphical methods |
Rates of work
Rates of work Tables of given relations |
By the end of the
lesson, the learner
should be able to:
Calculate the rate of work Calculate the rate of work Draw tables of given relations |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators Geoboard & graph books |
KLB Mathematics
Book Three Pg 295-296 |
|
| 10 | 5 |
Graphical methods
|
Graphs of given relations
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of given relations |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 300 |
|
| 10 | 6 |
Graphical methods
|
Graphical solution of cubic equations
|
By the end of the
lesson, the learner
should be able to:
Draw tables of cubic functions |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 301 |
|
| 10 | 7 |
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 |
|
| 11 | 1 |
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 |
|
| 11 | 2 |
Graphical methods
|
Empirical graphs
|
By the end of the
lesson, the learner
should be able to:
Draw the empirical graphs |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 315-316 |
|
| 11 | 3-4 |
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 Draw the graphs of reduction of non-linear laws to linear form |
Discussions
Solving Demonstrating Explaining Discussions Solving Demonstrating Explaining |
Geoboard & graph books
Geoboard & graph bookss |
KLB Mathematics
Book Three Pg 318-321 |
|
| 11 | 5 |
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 325-326 |
|
| 11 | 6 |
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 327-328 |
|
| 11 | 7 |
Matrices and
Transformation
|
Transformation on a
Cartesian plane
|
By the end of the
lesson, the learner
should be able to:
Relate image and objects under a given transformation on the Cartesian plane |
Drawing objects and their images on Cartesian plane Practice Ex 1.1 P5 |
Square boards Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 1-3 - KLB Pg 1-6 |
|
| 12 | 1 |
Matrices and
Transformation
|
Identification of
transformation matrix
|
By the end of the
lesson, the learner
should be able to:
Determine the matrix of a transformation |
Practice exercise KLB EX 1.2 and 1.3 |
Square boards Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 3-9 - KLB Pg 6-16 |
|
| 12 | 2 |
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 |
|
| 12 | 3-4 |
Matrices and
Transformation
|
Single matrix of
transformation for
successive transformation
Relate Identity Matrix and Transformation |
By the end of the
lesson, the learner
should be able to:
Determine and identify a single matrix for successive transformation Relate identity matrix and transformation |
Drawing objects and its successive images KLB Ex 1.4 Practice exercise Ex 1.4 KLB BK 4 |
Square boards Peg boards and strings Rubber band Calculators |
- K.M, Advancing in
Math F4 Pg 15-17 - KLB Pg 21 - K.M, Advancing in Math F4 Pg 13-14 - KLB Pg 22-24 |
|
| 12 | 5 |
Matrices and
Transformation
|
Inverse of a matrix area
scale factor and
determinant of a matrix
Area of scale factor and determinant of a matrix |
By the end of the
lesson, the learner
should be able to:
Determine the inverse of a transformation Establish and use the relationship between area scale factor and determinant of a matrix |
Practice exercise Ex 1.5
KLB BK 4 KLB BK 4 pg 27 |
Calculators
Boards and strings Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 14-15 - KLB Pg 24-26 |
|
| 12 | 6 |
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 |
|
| 12 | 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 |
|
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