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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Reporting and revision of previous term exam |
|||||||
| 2 | 1 |
Quadratic Expressions and Equations
|
Factorization of quadratic expressions
Completing squares |
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expressions Write the perfect squares Factorize quadratic expression by completing square method |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 1 |
|
| 2 | 2 |
Quadratic Expressions and Equations
|
Completing squares
Solving quadratic expression by completing square |
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expression by completing square method Factorize quadratic expressions Solve quadratic expressions by completing square |
Discussions
Solving Demonstrating Explaining |
calculators
Calculators |
KLB Mathematics
Book Three Pg 3-4 |
|
| 2 | 3 |
Quadratic Expressions and Equations
|
Solving quadratic expression by factorization
The quadratic formula |
By the end of the
lesson, the learner
should be able to:
Factorize quadratic expressions Solve quadratic expressions by factorization Solve quadratic expressions using the quadratic formula |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 7 |
|
| 2 | 4 |
Quadratic Expressions and Equations
|
The quadratic formula
|
By the end of the
lesson, the learner
should be able to:
Solve quadratic expressions using the quadratic formula |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 7-9 |
|
| 2 | 5 |
Quadratic Expressions and Equations
|
Formation of quadratic equations
Graphs of quadratic functions |
By the end of the
lesson, the learner
should be able to:
Form a quadratic equation from word problem Solve the quadratic equation Draw a table of the quadratic functions Draw graphs of quadratic functions |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
|
KLB Mathematics
Book Three Pg 9-10 |
|
| 2 | 6 |
Quadratic Expressions and Equations
|
Graphs of quadratic functions
Graphical solutions of quadratic equation |
By the end of the
lesson, the learner
should be able to:
Draw a table of the quadratic functions Draw graphs of quadratic functions Solve quadratic equations using the graphs |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
|
KLB Mathematics
Book Three Pg 12-15 |
|
| 2 | 7 |
Quadratic Expressions and Equations
|
Graphical solutions of quadratic equation
Graphical solutions of simultaneous equations |
By the end of the
lesson, the learner
should be able to:
Draw graphs of quadratic functions Solve quadratic equations using the graphs Draw tables for simultaneous equations Find the graphical solutions of simultaneous equations |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboard
|
KLB Mathematics
Book Three Pg 17-19 |
|
| 3 | 1 |
Quadratic Expressions and Equations
|
Further graphical solutions
|
By the end of the
lesson, the learner
should be able to:
Draw tables of other related quadratic equations Solve other related quadratic functions graphically |
Discussions
Solving Demonstrating Explaining |
graph papers & geoboards
|
KLB Mathematics
Book Three Pg 21-23 |
|
| 3 | 2 |
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 |
|
| 3 | 3 |
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 |
|
| 3 | 4 |
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 |
|
| 3 | 5 |
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 |
|
| 3 | 6 |
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 |
|
| 3 | 7 |
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 |
|
| 4 | 1 |
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 |
|
| 4 | 2 |
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 |
|
| 4 | 3 |
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 |
|
| 4 | 4 |
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 |
|
| 4 | 5 |
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 |
|
| 4 | 6 |
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 | 7 |
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 |
|
| 5 | 1 |
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 |
|
| 5 | 2 |
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 |
|
| 5 | 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 274-275 |
|
| 5 | 4 |
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 276-277 |
|
| 5 | 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 |
|
| 5 | 6 |
Probability
Graphical methods |
Tree diagrams
Tables of given relations |
By the end of the
lesson, the learner
should be able to:
Use tree diagrams to find probability Draw tables of given relations |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
Geoboard & graph books |
KLB Mathematics
Book Three Pg 283-285 |
|
| 5 | 7 |
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 |
|
| 6 | 1 |
Graphical methods
|
Graphical solution of cubic equations
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of cubic equations |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 302-304 |
|
| 6 | 2 |
Graphical methods
|
Average rates of change
Rate of change at an instant |
By the end of the
lesson, the learner
should be able to:
Calculate the average rates of change Calculate the rate of change at an instant |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
|
KLB Mathematics
Book Three Pg 304-306 |
|
| 6 | 3 |
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 |
|
| 6 | 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 |
Discussions
Solving Demonstrating Explaining |
Geoboard & graph books
Geoboard & graph bookss |
KLB Mathematics
Book Three Pg 318-321 |
|
| 6 | 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 |
|
| 6 | 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 |
|
| 6 | 7 |
Differentiation
|
Derivation of a
Polynomial
Equations of tangents And normal to the Curve |
By the end of the
lesson, the learner
should be able to:
Determine the derivate of a polynomial Find the equations of tangents and normals to the curves |
Practice exercise
Advancing BK 4, Ex. 8.1 KLB BK 4, Ex. 8.1 Ex. 8.5 KLB BK 4, Ex. 8.2 |
Polynomials
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg116-117 - KLB BK 4 Pg 170-171 |
|
| 7 | 1 |
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 | 2 |
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 | 3 |
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 | 4 |
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 |
|
| 7 | 5 |
Area Approximations
|
Trapezium rule
Area using trapezium 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 |
Practice exercise
Advancing BK 4, Ex. 9.3 KLB BK 4, Ex. 9.2 Advancing BK 4, Ex. 9.4 |
Square boards
Graph paper |
- K.M, Advancing in
Math F4 Pg128-130 - KLB BK 4 Pg 194-199 |
|
| 7 | 6 |
Area Approximations
|
Mid ordinate rule
|
By the end of the
lesson, the learner
should be able to:
Derive the mid ordinate rule |
Practice exercise Advancing BK 4, Ex. 9.5 KLB BK 4, Ex. 9.3 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg132-133 - KLB BK 4 Pg 202-205 |
|
| 7 | 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 |
|
| 8 | 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 |
|
| 8 | 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 |
|
| 8 | 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 |
|
| 8 | 4 |
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 |
|
| 8 | 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 |
|
| 8 | 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 |
|
| 8 | 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 |
|
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