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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 1 |
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 |
|
| 1 | 2 |
Sequences and series
|
Geometric sequence
Arithmetic 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 |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 211-213 |
|
| 1 | 3 |
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 | 4-5 |
Sequences and series
Vectors II |
Geometric series
Coordinates in two dimensions Coordinates in three 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 Identify the coordinates of appoint in three dimensions |
Discussions
Solving Demonstrating Explaining Discussions Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 216-219 KLB Mathematics Book Three Pg 222 |
|
| 1 | 6 |
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 |
|
| 1 | 7 |
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 |
|
| 2 | 1 |
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 | 2 |
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 | 3 |
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 | 4-5 |
Vectors II
|
Proportion division of a line
Proportion division of a line Proportion division of a line Ratio theorem |
By the end of the
lesson, the learner
should be able to:
Divide a line internally in the given ratio Divide a line externally in the given ratio Divide a line internally and externally in the given ratio Express position vectors |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 237-238 KLB Mathematics Book Three Pg 239 |
|
| 2 | 6 |
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 |
|
| 2 | 7 |
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 | 1 |
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 | 2 |
Vectors II
|
Applications of vectors
Applications of vectors |
By the end of the
lesson, the learner
should be able to:
Use vectors to show the diagonals of a parallelogram Use vectors to show the diagonals of a rectangle |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 248-249 |
|
| 3 | 3 |
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 |
|
| 3 | 4-5 |
Binomial expansion
|
Pascal
Pascal Applications to numerical cases |
By the end of the
lesson, the learner
should be able to:
Use Pascal Use Pascal Use binomial expansion to solve numerical problems |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 258-259 |
|
| 3 | 6 |
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 |
|
| 3 | 7 |
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 |
|
| 4 | 1 |
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 |
|
| 4 | 2 |
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 | 3 |
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 | 4-5 |
Probability
|
Independent events
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 KLB Mathematics Book Three Pg 276-277 |
|
| 4 | 6 |
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 |
|
| 4 | 7 |
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 | 1 |
Compound proportions and rate of work
|
Compound proportions
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 | 2 |
Compound proportions and rate of work
|
Proportional parts
|
By the end of the
lesson, the learner
should be able to:
Calculate the proportional parts |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 291-293 |
|
| 5 | 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 294-295 |
|
| 5 | 4-5 |
Compound proportions and rate of work
Graphical methods |
Rates of work
Tables of given relations Graphs 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 Draw graphs of given relations |
Discussions
Solving Demonstrating Explaining Discussions Solving Demonstrating Explaining |
Calculators
Geoboard & graph books |
KLB Mathematics
Book Three Pg 295-296 KLB Mathematics Book Three Pg 300 |
|
| 5 | 6 |
Graphical methods
|
Graphical solution of cubic equations
Graphical solution of cubic equations |
By the end of the
lesson, the learner
should be able to:
Draw tables of cubic functions Draw graphs of cubic equations |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 301 |
|
| 5 | 7 |
Graphical methods
|
Average rates of change
|
By the end of the
lesson, the learner
should be able to:
Calculate the average rates of change |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 304-306 |
|
| 6 | 1 |
Graphical methods
|
Rate of change at an instant
Empirical graphs |
By the end of the
lesson, the learner
should be able to:
Calculate the rate of change at an instant Draw the empirical graphs |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 310-311 |
|
| 6 | 2 |
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 |
CAT 1 |
|||||||
| 7 | 1 |
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 | 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 325-326 |
|
| 7 | 3 |
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 |
|
| 7 | 4-5 |
Statistics
|
Ogive
Median |
By the end of the
lesson, the learner
should be able to:
Use cumulative frequency tables to Draw the ogive Estimate the median and quartiles by Calculations Ogive |
Drawing cumulative frequency curve (ogive) KLB Pg 4, Ex. 2.2 Practice exercise KLB Pg 4, Ex. 2.2 |
Square boards Graph papers Square boards Graph papers Calculators |
- K.M, Advancing in
Math F4 Pg 28-29 - KLB Pg 51-52 - K.M, Advancing in Math F4 Pg 29-31 - KLB Pg 48 |
|
| 7 | 6 |
Statistics
|
Quartile
|
By the end of the
lesson, the learner
should be able to:
Estimate median and quartiles by Calculations ogive |
Practice exercise KLB Pg 4, Ex. 2.2 |
Square boards Graph papers Calculators |
- K.M, Advancing in
Math F4 Pg 29-31 - KLB Pg 46 |
|
| 7 | 7 |
Statistics
|
Range- inter quartile
range
|
By the end of the
lesson, the learner
should be able to:
Define and calculate measure of dispersion-range, quartiles and inter-quartile range |
Practice exercise KLB Pg 4, Ex. 2.2 |
Calculators |
- K.M, Advancing in
Math F4 Pg 32-33 - KLB BK 4 |
|
| 8 | 1 |
Statistics
|
Quartile deviation
|
By the end of the
lesson, the learner
should be able to:
Define and calculate measures of dispersion ? quartile deviation |
Practice exercise KLB Pg 4, Ex. 2.2 |
Calculators |
- K.M, Advancing in
Math F4 Pg 34-35 - KLB Bk4 Pg 57-59 |
|
| 8 | 2 |
Statistics
|
Variance
|
By the end of the
lesson, the learner
should be able to:
Define and calculate measures of Dispersion, variance interpret measure of dispersion |
Practice exercise KLB Pg 4, Ex. 2.2 |
Calculators |
- K.M, Advancing in
Math F4 Pg 34-35 - KLB Bk4 Pg 57-59 |
|
| 8 | 3 |
Statistics
|
Standard deviation
|
By the end of the
lesson, the learner
should be able to:
- Define and calculate measures of dispersion, standard deviation - Interpret measures of dispersion |
Ex. 2.3 Exams ? CATS |
Calculators |
- K.M, Advancing in
Math F4 Pg 34-39 - KLB Bk4 Pg 60 |
|
| 8 |
MIDTERM BREAK |
|||||||
| 9 | 1 |
Differentiation
|
Average and
instantaneous rates of
change
|
By the end of the
lesson, the learner
should be able to:
Find out the average rates of change and instantaneous rate of change |
Practice exercise Advancing BK 4, Ex. 8.1 KLB BK 4, Ex. 8.1 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg100-103 - KLB BK 4 Pg 157-159 |
|
| 9 | 2 |
Differentiation
|
Average and
instantaneous rates of
change
|
By the end of the
lesson, the learner
should be able to:
Find out the average rates of change and instantaneous rate of change |
Practice exercise Advancing BK 4, Ex. 8.1 KLB BK 4, Ex. 8.1 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg100-103 - KLB BK 4 Pg 157-159 |
|
| 9 | 3 |
Differentiation
|
Differentiation
Gradient of a curve at
a point
|
By the end of the
lesson, the learner
should be able to:
Find the gradient of a curve at a point using tangent |
Practice exercise Advancing BK 4, Ex. 8.2 KLB BK 4, Ex. 8.1 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg 109 - KLB BK 4 Pg 162-163 |
|
| 9 | 4-5 |
Differentiation
|
Gradient of y = xn
where n is a positive
interger
Delta notation (?) Derivation of a Polynomial |
By the end of the
lesson, the learner
should be able to:
Find the gradient function of the form y = xn (n = positive interger) - Relate the delta notation to rates of change - Define derivative of a function polynomial and differentiation Determine the derivate of a polynomial |
Practice exercise Advancing BK 4, Ex. 8.2 and 8.3 KLB BK 4, Ex. 8.1 Practice exercise Advancing BK 4, Ex. 8.2 and 8.4 KLB BK 4, Ex. 8.1 Ex. 8.1 |
Square boards Graph paper Square boards Graph paper Polynomials |
- K.M, Advancing in
Math F4 Pg 110 - KLB BK 4 Pg 164-167 - K.M, Advancing in Math F4 Pg114-115 - KLB BK 4 Pg 167-170 |
|
| 9 | 6 |
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 |
|
| 9 | 7 |
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 |
|
| 10 | 1 |
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 |
|
| 10 | 2 |
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 |
|
| 10 | 3 |
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 |
|
| 10 | 4-5 |
Area Approximations
|
Trapezium rule
Area using trapezium rule Mid ordinate rule |
By the end of the
lesson, the learner
should be able to:
Find and derive trapezium rule Apply trapezium rule estimate area under curves Derive the mid ordinate rule |
Practice exercise Advancing BK 4, Ex. 9.3 KLB BK 4, Ex. 9.2 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 Pg128-130 - KLB BK 4 Pg 194-199 - K.M, Advancing in Math F4 Pg130-132 - KLB BK 4 Pg 195-199 |
|
| 10 | 6 |
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 |
|
| 10 | 7 |
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 |
|
| 11 | 1 |
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 |
|
| 11 | 2 |
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 |
|
| 11 | 3 |
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 |
|
| 11 | 4-5 |
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 |
|
| 11 | 6 |
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 |
|
| 11 | 7 |
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 |
|
| 12-13 |
END TERM EXAMINATION |
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