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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 3 |
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 |
|
| 1 | 4 |
Sequences and series
|
Arithmetic sequences
Geometric sequence |
By the end of the
lesson, the learner
should be able to:
Find the nth term of a given arithmetic sequence Find the nth term of a given geometric sequence |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 209-210 |
|
| 1 | 5 |
Sequences and series
|
Arithmetic series
|
By the end of the
lesson, the learner
should be able to:
Find the nth term of a given arithmetic series |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 214-215 |
|
| 1 | 6 |
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 |
|
| 1 | 7 |
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 |
|
| 1 | 8 |
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 |
|
| 2 | 1 |
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 |
|
| 2 | 2 |
Vectors II
|
Position vector
Unit vectors |
By the end of the
lesson, the learner
should be able to:
Calculate the position vector Express vectors in terms of unit vectors |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 224 |
|
| 2 | 3 |
Vectors II
|
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 |
|
| 2 | 4 |
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 |
|
| 2 | 5 |
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 |
|
| 2 | 6 |
Vectors II
|
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 233-234 |
|
| 2 | 7 |
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 |
|
| 2 | 8 |
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 |
|
| 3 | 1 |
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 |
|
| 3 | 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 |
|
| 3 | 3 |
Vectors II
|
Mid-point
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 |
|
| 3 | 4 |
Vectors II
|
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 246-248 |
|
| 3 | 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 |
|
| 3 | 6 |
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 |
|
| 3 | 7 |
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 256-257 |
|
| 3 | 8 |
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 |
|
| 4 | 1 |
Binomial expansion
|
Pascal
Applications to numerical cases |
By the end of the
lesson, the learner
should be able to:
Use Pascal Use binomial expansion to solve numerical problems |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 258-259 |
|
| 4 | 2 |
Binomial expansion
|
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
|
KLB Mathematics
Book Three Pg 259-260 |
|
| 4 | 3 |
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 |
|
| 4 | 4 |
Probability
|
Experimental probability
Range of probability measure |
By the end of the
lesson, the learner
should be able to:
Calculate the experimental probability Calculate the range of probability measure |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 262-264 |
|
| 4 | 5 |
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 266-267 |
|
| 4 | 6 |
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 |
|
| 4 | 7 |
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 |
|
| 4 | 8 |
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 274-275 |
|
| 5 | 1 |
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 |
|
| 5 | 2 |
Probability
|
Independent events
Tree diagrams |
By the end of the
lesson, the learner
should be able to:
Find the probability of independent events Draw tree diagrams to show the probability space |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 278-280 |
|
| 5 | 3 |
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 |
|
| 5 | 4 |
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 |
|
| 5 | 5 |
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 |
|
| 5 | 6 |
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 |
|
| 5 | 7 |
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 |
|
| 5 | 8 |
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 295-296 |
|
| 6 | 1 |
Compound proportions and rate of work
Graphical methods |
Rates of work
Tables of given relations |
By the end of the
lesson, the learner
should be able to:
Calculate the rate of work Draw tables of given relations |
Discussions
Solving Demonstrating Explaining |
Calculators
Geoboard & graph books |
KLB Mathematics
Book Three Pg 295-296 |
|
| 6 | 2 |
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 |
|
| 6 | 3 |
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 |
|
| 6 | 4 |
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 |
|
| 6 | 5 |
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 |
|
| 6 | 6 |
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 |
|
| 6 | 7 |
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
|
KLB Mathematics
Book Three Pg 318-321 |
|
| 6 | 8 |
Graphical methods
|
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 bookss
|
KLB Mathematics
Book Three Pg 318-321 |
|
| 7 | 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 325-326 |
|
| 7 | 2 |
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 |
|
| 7 | 3 |
Differentiation
|
Derivation of a
Polynomial
|
By the end of the
lesson, the learner
should be able to:
Determine the derivate of a polynomial |
Practice exercise Advancing BK 4, Ex. 8.1 KLB BK 4, Ex. 8.1 |
Polynomials |
- K.M, Advancing in
Math F4 Pg116-117 - KLB BK 4 Pg 170-171 |
|
| 7 | 4 |
Differentiation
|
Equations of tangents
And normal to the
Curve
|
By the end of the
lesson, the learner
should be able to:
Find the equations of tangents and normals to the curves |
Practice exercise Advancing BK 4, Ex. 8.5 KLB BK 4, Ex. 8.2 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg117-118 - KLB BK 4 Pg 173-174 |
|
| 7 | 5 |
Differentiation
|
Stationery point
Curve sketching |
By the end of the
lesson, the learner
should be able to:
Sketch a sketch Sketch a curve |
Practice exercise
Advancing BK 4, Ex. 8.6 KLB BK 4, Ex. 8.3 Ex. 8.7 KLB BK 4, Ex. 8.4 |
Square boards
Graph paper |
- K.M, Advancing in
Math F4 Pg118-120 - KLB BK 4 Pg 174-179 |
|
| 7 | 6 |
Differentiation
|
Application of
differentiation to
calculation of distance
velocity and acceleration
|
By the end of the
lesson, the learner
should be able to:
Apply differentiation in calculating distance, velocity and accelaration |
Practice exercise Advancing BK 4, Ex. 8.8 KLB BK 4, Ex. 8.5 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg121-123 - KLB BK 4 Pg 182-183 |
|
| 7 | 7 |
Differentiation
|
Maxima and minima
|
By the end of the
lesson, the learner
should be able to:
Apply differentiation in finding maxima and minima of a function |
Practice exercise Advancing BK 4, Ex. 8.9 KLB BK 4, Ex. 8.6 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg118-120 - KLB BK 4 Pg 186-188 |
|
| 7 | 8 |
Differentiation
|
Maxima and minima
|
By the end of the
lesson, the learner
should be able to:
Apply differentiation in finding maxima and minima of a function |
Practice exercise Advancing BK 4, Ex. 8.9 KLB BK 4, Ex. 8.6 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg118-120 - KLB BK 4 Pg 186-188 |
|
| 8 | 1 |
Area Approximations
|
Area by counting
technique
|
By the end of the
lesson, the learner
should be able to:
Relate approximate area of irregular shapes by counting technique |
Practice exercise Advancing BK 4, Ex. 9.1 KLB BK 4, Ex. 9.1 |
Irregular shapes from Maps Tracing papers |
- K.M, Advancing in
Math F4 Pg125-127 - KLB BK 4 Pg 190-193 |
|
| 8 | 2 |
Area Approximations
|
Trapezium rule
|
By the end of the
lesson, the learner
should be able to:
Find and derive trapezium rule |
Practice exercise Advancing BK 4, Ex. 9.3 KLB BK 4, Ex. 9.2 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg128-130 - KLB BK 4 Pg 194-199 |
|
| 8 | 3 |
Area Approximations
|
Area using trapezium
rule
Mid ordinate rule |
By the end of the
lesson, the learner
should be able to:
Apply trapezium rule estimate area under curves Derive the mid ordinate rule |
Practice exercise
Advancing BK 4, Ex. 9.4 KLB BK 4, Ex. 9.2 Advancing BK 4, Ex. 9.5 KLB BK 4, Ex. 9.3 |
Square boards
Graph paper |
- K.M, Advancing in
Math F4 Pg130-132 - KLB BK 4 Pg 195-199 |
|
| 8 | 4 |
Area Approximations
|
Area by mid ordinate
rule
|
By the end of the
lesson, the learner
should be able to:
Apply mid ordinate rule to approximate area under a curve |
Practice exercise Advancing BK 4, Ex. 9.5 KLB BK 4, Ex. 9.3 |
Real life situations |
- K.M, Advancing in
Math F4 Pg132-133 - KLB BK 4 Pg 202-205 |
|
| 8 | 5 |
Area Approximations
|
Area by mid ordinate
rule
|
By the end of the
lesson, the learner
should be able to:
Apply mid ordinate rule to approximate area under a curve |
Practice exercise Advancing BK 4, Ex. 9.5 KLB BK 4, Ex. 9.3 |
Real life situations |
- K.M, Advancing in
Math F4 Pg132-133 - KLB BK 4 Pg 202-205 |
|
| 8 | 6 |
Integration
|
Differentiation
|
By the end of the
lesson, the learner
should be able to:
Carry out the process of differentiation |
Practice exercise Advancing BK 4, Ex. 10.1 KLB BK 4, Ex. 10.1 |
Real life situations |
- K.M, Advancing in
Math F4 Pg133-134 - KLB BK 4 Pg 202-205 |
|
| 8 | 7 |
Integration
|
Reverse differentiation
|
By the end of the
lesson, the learner
should be able to:
Reverse differentiation |
Practice exercise Advancing BK 4, Ex. 10.1 and 10.2 KLB BK 4, Ex. 10.1 |
Real life situations |
- K.M, Advancing in
Math F4 Pg135-138 - KLB BK4 Pg207-210 |
|
| 8 | 8 |
Integration
|
Reverse differentiation
|
By the end of the
lesson, the learner
should be able to:
Reverse differentiation |
Practice exercise Advancing BK 4, Ex. 10.1 and 10.2 KLB BK 4, Ex. 10.1 |
Real life situations |
- K.M, Advancing in
Math F4 Pg135-138 - KLB BK4 Pg207-210 |
|
| 9 | 1 |
Integration
|
Integration, notation
and sum of area
trapezia
|
By the end of the
lesson, the learner
should be able to:
Integrate notations and sum of areas of trapezia |
Practice exercise Advancing BK 4, Ex. 10.3 KLB BK 4, Ex. 10.1 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg138-140 - KLB BK 4 Pg 212-215 |
|
| 9 | 2 |
Integration
|
Indefinite and definite
intergral
|
By the end of the
lesson, the learner
should be able to:
Indefine and define intergral |
Practice exercise Advancing BK 4, Ex. 10.4 KLB BK 4, Ex. 10.2 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg140-142 - KLB BK 4 Pg 212-215 |
|
| 9 | 3 |
Integration
|
Indefinite and definite
intergral
|
By the end of the
lesson, the learner
should be able to:
Indefine and define intergral |
Practice exercise Advancing BK 4, Ex. 10.4 KLB BK 4, Ex. 10.2 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg140-142 - KLB BK 4 Pg 212-215 |
|
| 9 | 4 |
Integration
|
Integral notation
|
By the end of the
lesson, the learner
should be able to:
Intergral notation |
Practice exercise Advancing BK 4, Ex. 10.5 KLB BK 4, Ex. 10.3 |
Polynomials |
- K.M, Advancing in
Math F4 Pg142-145 - KLB BK 4 Pg 215-220 |
|
| 9 | 5 |
Integration
|
Application in
Kinematics
|
By the end of the
lesson, the learner
should be able to:
Apply in kinematics |
Practice exercise Advancing BK 4, Ex. 10.6 KLB BK 4, Ex. 10.4 |
Real life situations |
- K.M, Advancing in
Math F4 Pg145-160 - KLB BK 4 Pg 223-225 |
|
| 9 | 6 |
Integration
|
Application in
Kinematics
|
By the end of the
lesson, the learner
should be able to:
Apply in kinematics |
Practice exercise Advancing BK 4, Ex. 10.6 KLB BK 4, Ex. 10.4 |
Real life situations |
- K.M, Advancing in
Math F4 Pg145-160 - KLB BK 4 Pg 223-225 |
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