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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Circles: Chords and tangents
|
Length of an arc
Chords |
By the end of the
lesson, the learner
should be able to:
Calculate the length of an arc Calculate the length of a chord |
Discussions
Solving Demonstrating Explaining |
Geometrical set,calculator
Geometrical set ,calculator |
KLB Mathematics
Book Three Pg 124-125 |
|
| 2 | 2 |
Circles: Chords and tangents
|
Parallel chords
|
By the end of the
lesson, the learner
should be able to:
Calculate the perpendicular bisector Find the value of parallel chords |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 129-131 |
|
| 2 | 3-4 |
Circles: Chords and tangents
|
Equal chords
Intersecting chords Intersecting chords Tangent to a circle |
By the end of the
lesson, the learner
should be able to:
Find the length of equal chords Calculate the length of intersecting chords Calculate the length of intersecting chords Construct a tangent to a circle |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 131-132 KLB Mathematics Book Three Pg 135-139 |
|
| 2 | 5 |
Circles: Chords and tangents
|
Tangent to a circle
|
By the end of the
lesson, the learner
should be able to:
Calculate the length of tangent Calculate the angle between tangents |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 141-142 |
|
| 2 | 6 |
Circles: Chords and tangents
|
Properties of tangents to a circle from an external point
Tangents to two circles |
By the end of the
lesson, the learner
should be able to:
State the properties of tangents to a circle from an external point Calculate the tangents of direct common tangents |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 142-144 |
|
| 2 | 7 |
Circles: Chords and tangents
|
Tangents to two circles
|
By the end of the
lesson, the learner
should be able to:
Calculate the tangents of transverse common tangents |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 150-151 |
|
| 3 | 1 |
Circles: Chords and tangents
|
Contact of circles
Contact of circles |
By the end of the
lesson, the learner
should be able to:
Calculate the radii of contact circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 151-153 |
|
| 3 | 2 |
Circles: Chords and tangents
|
Problem solving
Angle in alternate segment |
By the end of the
lesson, the learner
should be able to:
Solve problems involving chords, tangents and contact circles Calculate the angles in alternate segments |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 154-157 |
|
| 3 | 3-4 |
Circles: Chords and tangents
|
Angle in alternate segment
Circumscribed circle Escribed circles |
By the end of the
lesson, the learner
should be able to:
Calculate the angles in alternate segments Construct circumscribed circles Construct escribed circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 160-161 KLB Mathematics Book Three Pg 165 |
|
| 3 | 5 |
Circles: Chords and tangents
|
Centroid
|
By the end of the
lesson, the learner
should be able to:
Construct centroid |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 166 |
|
| 3 | 6 |
Circles: Chords and tangents
Formulae and variations |
Orthocenter
Formulae |
By the end of the
lesson, the learner
should be able to:
Construct orthocenter Make subject of the given formula |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
Calculators |
KLB Mathematics
Book Three Pg 167 |
|
| 3 | 7 |
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 |
|
| 4 | 1 |
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 |
|
| 4 | 2 |
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 | 3-4 |
Sequences and series
|
Sequences
Arithmetic sequences Geometric sequence |
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 Find the nth term of a given geometric sequence |
Discussions
Solving Demonstrating Explaining |
|
KLB Mathematics
Book Three Pg 207-208 KLB Mathematics Book Three Pg 209-210 |
|
| 4 | 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 |
|
| 4 | 6 |
Sequences and series
|
Geometric 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 | 7 |
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 |
|
| 5 | 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 |
|
| 5 | 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 |
|
| 5 | 3-4 |
Vectors II
|
Unit vectors
Magnitude of a vector in three dimensions Parallel vectors |
By the end of the
lesson, the learner
should be able to:
Express vectors in terms of unit vectors Calculate the magnitude of a vector in three dimensions Identify parallel vectors |
Discussions
Solving Demonstrating Explaining |
calculators Geoboard |
KLB Mathematics
Book Three Pg 226-228 KLB Mathematics Book Three Pg 229-230 |
|
| 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
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 |
|
| 6 | 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 |
|
| 6 | 2 |
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 |
|
| 6 | 3-4 |
Vectors II
|
Ratio theorem
Ratio theorem Applications of vectors |
By the end of the
lesson, the learner
should be able to:
Use ratio theorem to find the given vectors Use vectors to show the diagonals of a parallelogram |
Discussions
Solving Demonstrating Explaining Discussions Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 244-245 KLB Mathematics Book Three Pg 248-249 |
|
| 6-7 |
HALF TERM |
|||||||
| 7 | 2 |
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 |
|
| 7 | 3-4 |
Binomial expansion
|
Pascal
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 KLB Mathematics Book Three Pg 258-259 |
|
| 7 | 5 |
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 |
|
| 7 | 6 |
Binomial expansion
Probability |
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 |
Calculators
|
KLB Mathematics
Book Three Pg 259-260 |
|
| 7 | 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 |
|
| 8 | 1 |
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 |
|
| 8 | 2 |
Probability
|
Probability space
Combined events |
By the end of the
lesson, the learner
should be able to:
Calculate the probability space for the theoretical probability Find the probability of a combined events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 268-270 |
|
| 8 | 3-4 |
Probability
|
Combined events
Independent 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 KLB Mathematics Book Three Pg 274-275 |
|
| 8 | 5 |
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 |
|
| 8 | 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 |
|
| 8 | 7 |
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 |
|
| 9 | 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 |
|
| 9 | 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 |
|
| 9 | 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 |
|
| 9 | 5 |
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 | 6 |
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 |
|
| 9 | 7 |
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 |
|
| 10 | 1 |
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 |
|
| 10 | 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 |
|
| 10 | 3-4 |
Graphical methods
|
Reduction of non-linear laws to linear form
Equation of a circle |
By the end of the
lesson, the learner
should be able to:
Draw the graphs of reduction of non-linear laws to linear form Find the equation of a circle |
Discussions
Solving Demonstrating Explaining Discussions Solving Demonstrating Explaining |
Geoboard & graph bookss
Geoboard & graph books |
KLB Mathematics
Book Three Pg 318-321 KLB Mathematics Book Three Pg 327-328 |
|
| 10 | 5 |
Graphical methods
Matrices and Transformation |
Equation of a circle
Transformation on a Cartesian plane |
By the end of the
lesson, the learner
should be able to:
Find the equation of a circle Relate image and objects under a given transformation on the Cartesian plane |
Discussions
Solving Demonstrating Explaining Drawing objects and their images on Cartesian plane Practice Ex 1.1 P5 |
Geoboard & graph books
Square boards Peg boards and strings Rubber band |
KLB Mathematics
Book Three Pg 327-328 |
|
| 10 | 6 |
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 |
|
| 10 | 7 |
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 |
|
| 11 | 1 |
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 |
|
| 11 | 2 |
Matrices 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:
Determine the inverse of a transformation |
Practice exercise Ex 1.5 KLB BK 4 |
Calculators |
- K.M, Advancing in
Math F4 Pg 14-15 - KLB Pg 24-26 |
|
| 11 | 3-4 |
Matrices and
Transformation
|
Area of scale factor
and determinant of a
matrix
Shear and stretch |
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 Determine shear and stretch |
Practice exercise Ex 1.5 KLB BK 4 pg 27 Drawing objects and images under shear and stretch. Ex 1.6 |
Boards and strings Peg boards and strings Rubber band Calculators Square boards Peg boards and strings Rubber band Calculators |
- K.M, Advancing in
Math F4 Pg 17-19 - KLB Pg 26-27 - K.M, Advancing in Math F4 Pg 10-13 - KLB Pg 28-34 |
|
| 11 | 5 |
Statistics
|
Ogive
|
By the end of the
lesson, the learner
should be able to:
Use cumulative frequency tables to Draw the ogive |
Drawing cumulative frequency curve (ogive) KLB Pg 4, Ex. 2.2 |
Square boards Graph papers |
- K.M, Advancing in
Math F4 Pg 28-29 - KLB Pg 51-52 |
|
| 11 | 6 |
Statistics
|
Median
|
By the end of the
lesson, the learner
should be able to:
Estimate the 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 48 |
|
| 11 | 7 |
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 |
|
| 12 | 1 |
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 |
|
| 12 | 2 |
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 |
|
| 12 | 3-4 |
Statistics
|
Variance
Standard deviation |
By the end of the
lesson, the learner
should be able to:
Define and calculate measures of Dispersion, variance interpret measure of dispersion - Define and calculate measures of dispersion, standard deviation - Interpret measures of dispersion |
Practice exercise KLB Pg 4, Ex. 2.2 Ex. 2.3 Exams ? CATS |
Calculators Calculators |
- K.M, Advancing in
Math F4 Pg 34-35 - KLB Bk4 Pg 57-59 - K.M, Advancing in Math F4 Pg 34-39 - KLB Bk4 Pg 60 |
|
| 12 | 5 |
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 |
|
| 12 | 6 |
Loci
|
Common types of Loci
Perpendicular bisector Loci |
By the end of the
lesson, the learner
should be able to:
Define locus Describe common types of loci |
Practice exercise
KLB Pg 4, Ex. 3.2 |
Geometrical patterns
|
- K.M, Advancing in
Math F4 Pg 40-41 - KLB Bk4 Pg 68 |
|
| 12 | 7 |
Loci
|
Loci of a point at a
given distance from a
fixed point and fixed
line
|
By the end of the
lesson, the learner
should be able to:
Describe common types of loci |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns |
- K.M, Advancing in
Math F4 Pg 40 - KLB Bk4 Pg 70-71 |
|
| 13 | 1 |
Loci
|
Angle bisector
Loci
|
By the end of the
lesson, the learner
should be able to:
Describe common types of loci |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns |
- K.M, Advancing in
Math F4 Pg 41 - KLB Bk4 Pg 71-72 |
|
| 13 | 2 |
Loci
|
Angle bisector
Loci
|
By the end of the
lesson, the learner
should be able to:
Describe common types of loci |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns |
- K.M, Advancing in
Math F4 Pg 41 - KLB Bk4 Pg 71-72 |
|
| 13 | 3-4 |
Loci
|
Constant angle loci
Construction:- loci of the equalities |
By the end of the
lesson, the learner
should be able to:
Describe common types of loci Construct loci |
Practice exercise KLB Pg 4, Ex. 3.2 Involving inequalities |
Geometrical patterns Geometrical instruments |
- K.M, Advancing in
Math F4 Pg 42-43 - KLB Bk4 Pg 72-74 - K.M, Advancing in Math F4 Pg 49 |
|
| 13 | 5 |
Loci
|
Loci involving chords
|
By the end of the
lesson, the learner
should be able to:
Construct loci involving chords |
Practice exercise KLB Pg 4, Ex. 3.5 |
Geometrical instruments |
- K.M, Advancing in
Math F4 Pg 45-47 - KLB Bk4 Pg 84 |
|
| 13 | 6 |
Loci
|
Loci under given
conditions including
intersecting chords
|
By the end of the
lesson, the learner
should be able to:
Construct loci involving intersecting Loci and under given conditions |
Practice exercise KLB Pg 4, Ex. 3.4 |
Geometrical instruments |
- K.M, Advancing in
Math F4 Pg 47-49 |
|
| 13 | 7 |
Trigonometry
|
Trigonometric ratios
|
By the end of the
lesson, the learner
should be able to:
Recall and define trigonometric ratios |
Practice exercise KLB Pg 4, Ex. 4.1 Advancing BK 4, Ex. 4.1 |
Chart illustrating Trigonometric ratios |
- K.M, Advancing in
Math F4 Pg 51-53 - KLB Bk4 Pg 90-93 |
|
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