If this scheme pleases you, click here to download.
| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 5 |
Trigonometry (II)
|
The unit circle
|
By the end of the
lesson, the learner
should be able to:
Draw the unit circle |
Discussions
Solving Demonstrating Explaining |
Calculators
Protractor Ruler Pair of compasses |
KLB Mathematics
Book Three Pg 41-42 |
|
| 1 | 6 |
Trigonometry (II)
|
The unit circle
Trigonometric ratios of angles greater than 900 |
By the end of the
lesson, the learner
should be able to:
Solve problems using the unit circle Find the trigonometric values of angles |
Discussions
Solving Demonstrating Explaining |
Calculators
Protractor Ruler Pair of compasses |
KLB Mathematics
Book Three Pg 43-44 |
|
| 1 | 7 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 900
|
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 46-47 |
|
| 2 | 1 |
Trigonometry (II)
|
Trigonometric ratios of negative angles
|
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of negative angles |
Discussions
Solving Demonstrating Explaining |
geo boards & graph books
|
KLB Mathematics
Book Three Pg 48-49 |
|
| 2 | 2 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 3600
Use of mathematical tables |
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles greater than 3600 Use mathematical tables to find sine and cosine |
Discussions
Solving Demonstrating Explaining |
geo boards & graph books
mathematical tables |
KLB Mathematics
Book Three Pg 49-51 |
|
| 2 | 3 |
Trigonometry (II)
|
Use of mathematical tables
|
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find tan |
Discussions
Solving Demonstrating Explaining |
mathematical tables
|
KLB Mathematics
Book Three Pg 55-56 |
|
| 2 | 4 |
Trigonometry (II)
|
Use of calculators
|
By the end of the
lesson, the learner
should be able to:
Use calculators to find sine, cosine and tan |
Discussions
Solving Demonstrating Explaining |
calculators
|
KLB Mathematics
Book Three Pg 56-58 |
|
| 2 | 5 |
Trigonometry (II)
|
Radian measure
Simple trigonometric graphs |
By the end of the
lesson, the learner
should be able to:
Convert degrees to radians and vice versa Draw tables for sine of values Draw graphs of sine functions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 58-61 |
|
| 2 | 6 |
Trigonometry (II)
|
Graphs of cosines
|
By the end of the
lesson, the learner
should be able to:
Draw tables for cosine of values Draw graphs of cosine functions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 63-64 |
|
| 2 | 7 |
Trigonometry (II)
|
Graphs of tan
|
By the end of the
lesson, the learner
should be able to:
Draw tables for tan of values Draw graphs of tan functions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 64-65 |
|
| 3 | 1 |
Trigonometry (II)
|
The sine rule
|
By the end of the
lesson, the learner
should be able to:
State the sine rule Use sine rule to find solution of triangles |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 65-70 |
|
| 3 | 2 |
Trigonometry (II)
|
Cosine rule
Problem solving |
By the end of the
lesson, the learner
should be able to:
State the sine rule Use sine rule to find solution of triangles Solve problems on cosines, sines and tan |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 71-75 |
|
| 3 | 3 |
Vectors II
|
Coordinates in two dimensions
|
By the end of the
lesson, the learner
should be able to:
Identify the coordinates of appoint in two dimensions |
Discussions
Solving Demonstrating Explaining |
Wire mesh in 3 dimensions
|
KLB Mathematics
Book Three Pg 221 |
|
| 3 | 4 |
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 |
|
| 3 | 5 |
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 | 6 |
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 |
|
| 3 | 7 |
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 |
|
| 4 | 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 |
|
| 4 | 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 |
|
| 4 | 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 |
|
| 4 | 4 |
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 |
|
| 4 | 5 |
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 | 6 |
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 | 7 |
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 |
|
| 5 | 1 |
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 |
|
| 5 | 2 |
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 |
|
| 5 | 3 |
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 |
|
| 5 | 4 |
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 rectangle |
Discussions
Solving Demonstrating Explaining |
Geoboard, calculators
|
KLB Mathematics
Book Three Pg |
|
| 5 | 5 |
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 |
|
| 5 | 6 |
Probability
|
Range of probability measure
|
By the end of the
lesson, the learner
should be able to:
Calculate the range of probability measure |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 265-266 |
|
| 5 | 7 |
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 |
|
| 6 | 1 |
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 |
|
| 6 | 2 |
Probability
|
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 273-274 |
|
| 6 | 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 |
|
| 6 | 4 |
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 |
|
| 6 | 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 |
|
| 6 | 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 |
|
| 6 | 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 |
|
| 7 | 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 |
|
| 7 | 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 |
|
| 7 | 3 |
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 |
|
| 7 | 4 |
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 295-296 |
|
| 7 | 5 |
Matrices and
Transformation
|
Transformation on a
Cartesian plane
|
By the end of the
lesson, the learner
should be able to:
Relate image and objects under a given transformation on the Cartesian plane |
Drawing objects and their images on Cartesian plane Practice Ex 1.1 P5 |
Square boards Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 1-3 - KLB Pg 1-6 |
|
| 7 | 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 |
|
| 7 | 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 |
|
| 8 | 1 |
Matrices and
Transformation
|
Single matrix of
transformation for
successive transformation
|
By the end of the
lesson, the learner
should be able to:
Determine and identify a single matrix for 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 21 |
|
| 8 | 2 |
Matrices and
Transformation
|
Relate Identity Matrix
and Transformation
|
By the end of the
lesson, the learner
should be able to:
Relate identity matrix and transformation |
Practice exercise Ex 1.4 KLB BK 4 |
Calculators |
- K.M, Advancing in
Math F4 Pg 13-14 - KLB Pg 22-24 |
|
| 8 | 3 |
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 |
|
| 8 | 4 |
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 |
|
| 8 | 5 |
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 |
|
| 8 | 6 |
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 |
|
| 8 | 7 |
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 | 1 |
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 |
|
| 9 | 2 |
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 |
|
| 9 | 3 |
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 |
|
| 9-10 |
Midterm |
|||||||
| 10 | 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 |
|
| 10 | 7 |
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 |
|
| 11 | 1 |
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 |
|
| 11 | 2 |
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 |
|
| 11 | 3 |
Loci
|
Common types of Loci
|
By the end of the
lesson, the learner
should be able to:
Define locus |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns |
- K.M, Advancing in
Math F4 Pg 40-41 - KLB Bk4 Pg 68 |
|
| 11 | 4 |
Loci
|
Common types of Loci
|
By the end of the
lesson, the learner
should be able to:
Define locus |
Practice exercise KLB Pg 4, Ex. 3.2 |
Geometrical patterns |
- K.M, Advancing in
Math F4 Pg 40-41 - KLB Bk4 Pg 68 |
|
| 11 | 5 |
Loci
|
Perpendicular 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 40 - KLB Bk4 Pg 69 |
|
| 11 | 6 |
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 |
|
| 11 | 7 |
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 |
|
| 12 | 1 |
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 42-43 - KLB Bk4 Pg 72-74 |
|
| 12 | 2 |
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 42-43 - KLB Bk4 Pg 72-74 |
|
| 12 | 3 |
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 |
|
| 12 | 4 |
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 |
|
| 12 | 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 |
|
| 12 | 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 |
|
| 12 | 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 |
|
Your Name Comes Here