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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Reporting |
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| 1 | 3 |
Circles: Chords and tangents
|
Length of an arc
|
By the end of the
lesson, the learner
should be able to:
Calculate the length of an arc |
Discussions
Solving Demonstrating Explaining |
Geometrical set,calculator
|
KLB Mathematics
Book Three Pg 124-125 |
|
| 1 | 4-5 |
Circles: Chords and tangents
|
Chords
Parallel chords Equal chords Intersecting chords |
By the end of the
lesson, the learner
should be able to:
Calculate the length of a chord Calculate the perpendicular bisector Find the value of parallel chords Find the length of equal chords Calculate the length of intersecting chords |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 126-128 KLB Mathematics Book Three Pg 131-132 |
|
| 1 | 6 |
Circles: Chords and tangents
|
Intersecting chords
Tangent to a circle |
By the end of the
lesson, the learner
should be able to:
Calculate the length of intersecting chords Construct a tangent to a circle |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 135-139 |
|
| 1 | 7 |
Circles: Chords and tangents
|
Tangent to a circle
Properties of tangents to a circle from an external point |
By the end of the
lesson, the learner
should be able to:
Calculate the length of tangent Calculate the angle between tangents State the properties of tangents to a circle from an external point |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 141-142 |
|
| 2 | 1 |
Circles: Chords and tangents
|
Tangents to two circles
Tangents to two circles |
By the end of the
lesson, the learner
should be able to:
Calculate the tangents of direct common tangents Calculate the tangents of transverse common tangents |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 148-149 |
|
| 2 | 2 |
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 |
|
| 2 | 3 |
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 |
|
| 2 | 4-5 |
Circles: Chords and tangents
|
Angle in alternate segment
Circumscribed circle Escribed circles Centroid |
By the end of the
lesson, the learner
should be able to:
Calculate the angles in alternate segments Construct circumscribed circles Construct escribed circles Construct centroid |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 160-161 KLB Mathematics Book Three Pg 165-166 |
|
| 2 | 6 |
Circles: Chords and tangents
Vectors II |
Orthocenter
Coordinates in two dimensions |
By the end of the
lesson, the learner
should be able to:
Construct orthocenter Identify the coordinates of appoint in two dimensions |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
Wire mesh in 3 dimensions |
KLB Mathematics
Book Three Pg 167 |
|
| 2 | 7 |
Vectors II
|
Coordinates in three dimensions
Column vectors |
By the end of the
lesson, the learner
should be able to:
Identify the coordinates of appoint in three dimensions Find a displacement and represent it in column vector |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 222 |
|
| 3 | 1 |
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 |
|
| 3 | 2 |
Vectors II
|
Unit vectors
Magnitude of a vector in three dimensions |
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 |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 226-228 |
|
| 3 | 3 |
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 | 4-5 |
Vectors II
|
Collinear points
Proportion division of a line Proportion division of a line 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 Divide a line externally in the given ratio Divide a line internally and externally in the given ratio |
Discussions
Solving Demonstrating Explaining |
Geoboard
Geoboard, calculators |
KLB Mathematics
Book Three Pg 233-234 KLB Mathematics Book Three Pg 238 |
|
| 3 | 6 |
Vectors II
|
Ratio theorem
Ratio theorem |
By the end of the
lesson, the learner
should be able to:
Express position vectors Find the position vector |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg 240 |
|
| 3 | 7 |
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 |
|
| 4 | 1 |
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 | 2 |
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 | 3 |
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 | 4-5 |
Probability
|
Probability space
Combined events Combined events Independent 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 Find the probability of a combined events Find the probability of independent events |
Discussions
Solving Demonstrating Explaining |
Calculators, charts
|
KLB Mathematics
Book Three Pg 268-270 KLB Mathematics Book Three Pg 273-274 |
|
| 4 | 6 |
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 |
|
| 4 | 7 |
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 | 1 |
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 |
|
| 5 | 2 |
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 | 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 Graphical solution of cubic equations |
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 Draw tables of cubic functions |
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
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 |
|
| 5 | 7 |
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 | 1 |
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 | 2 |
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 |
Geoboard & graph bookss
Geoboard & graph books |
KLB Mathematics
Book Three Pg 318-321 |
|
| 6 | 3 |
Graphical methods
Matrices and Transformation |
Equation of a circle
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 |
|
| 6 | 4-5 |
Matrices and
Transformation
|
Identification of
transformation matrix
Successive transformation Single matrix of transformation for successive transformation |
By the end of the
lesson, the learner
should be able to:
Determine the matrix of a transformation Perform successive transformation Determine and identify a single matrix for successive transformation |
Practice exercise KLB EX 1.2 and 1.3 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 3-9 - KLB Pg 6-16 - K.M, Advancing in Math F4 Pg 15-17 - KLB Pg 16-24 |
|
| 6 | 6 |
Matrices and
Transformation
|
Relate Identity Matrix
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:
Relate identity matrix and transformation Determine the inverse of a |
Practice exercise Ex 1.4
KLB BK 4 Practice exercise Ex 1.5 |
Calculators
|
- K.M, Advancing in
Math F4 Pg 13-14 - KLB Pg 22-24 |
|
| 6 | 7 |
Matrices and
Transformation
|
Area of scale factor
and determinant of a
matrix
|
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 |
Practice exercise Ex 1.5 KLB BK 4 pg 27 |
Boards and strings Peg boards and strings Rubber band Calculators |
- K.M, Advancing in
Math F4 Pg 17-19 - KLB Pg 26-27 |
|
| 7-9 |
Midterm exam and reporting |
|||||||
| 9 | 2 |
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 |
|
| 9 | 3 |
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 |
|
| 9 | 4-5 |
Statistics
|
Median
Quartile Range- inter quartile range |
By the end of the
lesson, the learner
should be able to:
Estimate the median and quartiles by Calculations Ogive Estimate median and quartiles by ogive Define and calculate measure of dispersion-range, quartiles and inter-quartile range |
Practice exercise
KLB Pg 4, Ex. 2.2 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 - K.M, Advancing in Math F4 Pg 32-33 - KLB BK 4 |
|
| 9 | 6 |
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 |
|
| 9 | 7 |
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 |
|
| 10 | 1 |
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 |
|
| 10 | 2 |
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 |
|
| 10 | 3 |
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 |
|
| 10 | 4-5 |
Loci
|
Angle bisector
Loci
Constant angle 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 - K.M, Advancing in Math F4 Pg 42-43 - KLB Bk4 Pg 72-74 |
|
| 10 | 6 |
Loci
|
Construction:- loci of
the equalities
|
By the end of the
lesson, the learner
should be able to:
Construct loci |
Involving inequalities |
Geometrical instruments |
- K.M, Advancing in
Math F4 Pg 49 |
|
| 10 | 7 |
Loci
Trigonometry |
Loci involving chords
Loci under given conditions including intersecting chords Trigonometric ratios |
By the end of the
lesson, the learner
should be able to:
Construct loci involving chords Construct loci involving intersecting Loci and under given conditions Recall and define trigonometric ratios |
Practice exercise
KLB Pg 4, Ex. 3.5 KLB Pg 4, Ex. 3.4 KLB Pg 4, Ex. 4.1 Advancing BK 4, Ex. 4.1 |
Geometrical
instruments Chart illustrating Trigonometric ratios |
- K.M, Advancing in
Math F4 Pg 45-47 - KLB Bk4 Pg 84 |
|
| 11-12 |
Endterm exam |
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