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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
OPENING OF SCHOOL AND REVISION WORK |
|||||||
| 2 | 1 |
Approximations and Errors
|
Computing using calculators
Computing using calculators |
By the end of the
lesson, the learner
should be able to:
Solve basic operations using calculators |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 24-26 |
|
| 2 | 2 |
Approximations and Errors
|
Approximation
Estimation |
By the end of the
lesson, the learner
should be able to:
Approximate values by rounding off Approximate values by truncation Approximate values by estimation |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 29-30 |
|
| 2 | 3 |
Approximations and Errors
|
Accuracy and errors
Percentage error |
By the end of the
lesson, the learner
should be able to:
Find the absolute error Find the relative error Find the percentage error of a given value |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 31-32 |
|
| 2 | 4 |
Approximations and Errors
|
Rounding off error and truncation error
Propagation of errors |
By the end of the
lesson, the learner
should be able to:
Find the rounding off error Find the truncation error Find the propagation of errors in addition and subtraction |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 34 |
|
| 2 | 5 |
Approximations and Errors
|
Propagation of errors
Propagation of errors |
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in addition and subtraction Find the propagation of errors in multiplication |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 35-36 |
|
| 2 | 6 |
Approximations and Errors
|
Propagation of errors
Propagation of errors |
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in multiplication Find the propagation of errors in division |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 36-37 |
|
| 2 | 7 |
Approximations and Errors
|
Propagation of errors
|
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors in division |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 37-38 |
|
| 3 | 1 |
Approximations and Errors
Trigonometry (II) |
Word problems
The unit circle |
By the end of the
lesson, the learner
should be able to:
Find the propagation of errors of a word problem Draw the unit circle |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators Protractor Ruler Pair of compasses |
KLB Mathematics
Book Three Pg 39-40 |
|
| 3 | 2 |
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 |
|
| 3 | 3 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 900
Trigonometric ratios of negative angles |
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles Find the trigonometric values of negative angles |
Discussions
Solving Demonstrating Explaining |
Calculators
geo boards & graph books |
KLB Mathematics
Book Three Pg 46-47 |
|
| 3 | 4 |
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 |
|
| 3 | 5 |
Trigonometry (II)
|
Use of mathematical tables
Use of calculators |
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find tan Use calculators to find sine, cosine and tan |
Discussions
Solving Demonstrating Explaining |
mathematical tables
calculators |
KLB Mathematics
Book Three Pg 55-56 |
|
| 3 | 6 |
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 |
|
| 3 | 7 |
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 |
|
| 4 | 1 |
Trigonometry (II)
|
Graphs of tan
The sine rule |
By the end of the
lesson, the learner
should be able to:
Draw tables for tan of values Draw graphs of tan functions State the sine rule Use sine rule to find solution of triangles |
Discussions
Solving Demonstrating Explaining |
Calculators
Calculators |
KLB Mathematics
Book Three Pg 64-65 |
|
| 4 | 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 |
|
| 4 | 3 |
Commercial arithmetic
|
Simple interest
Compound interest |
By the end of the
lesson, the learner
should be able to:
Calculate simple interest Calculate the compound interest |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 98-99 |
|
| 4 | 4 |
Commercial arithmetic
|
Appreciation
Depreciation |
By the end of the
lesson, the learner
should be able to:
Calculate the appreciation value of items Calculate the depreciation value of items |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 108 |
|
| 4 | 5 |
Commercial arithmetic
|
Hire purchase
Income tax |
By the end of the
lesson, the learner
should be able to:
Find the hire purchase Calculate the income tax |
Discussions
Solving Demonstrating Explaining |
,calculator
income tax table ,calculator |
KLB Mathematics
Book Three Pg 110-112 |
|
| 4 | 6 |
Commercial arithmetic
Matrices and Transformation |
P.A.Y.E
Transformation on a Cartesian plane |
By the end of the
lesson, the learner
should be able to:
Calculate the p.a.y.e 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 |
Calculators s
Square boards Peg boards and strings Rubber band |
KLB Mathematics
Book Three Pg 114-117 |
|
| 4 | 7 |
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 |
|
| 5 | 1 |
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 |
|
| 5 | 2 |
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 |
|
| 5 | 3 |
Matrices and
Transformation
|
Inverse of a matrix area
scale factor and
determinant of a matrix
Area of 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 Establish and use the relationship between area scale factor and determinant of a matrix |
Practice exercise Ex 1.5
KLB BK 4 KLB BK 4 pg 27 |
Calculators
Boards and strings Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 14-15 - KLB Pg 24-26 |
|
| 5 | 4 |
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 |
|
| 5 | 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 |
|
| 5 | 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 |
|
| 5 | 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 |
|
| 6 | 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 |
|
| 6 | 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 |
|
| 6 | 3 |
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 |
|
| 6 | 4 |
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 |
|
| 6 | 5 |
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 |
|
| 6 | 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 |
|
| 6 | 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 |
|
| 7-8 |
MIDTERM EXAMS AND MIDTERM BREAK |
|||||||
| 9 | 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 |
|
| 9 | 2 |
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 |
|
| 9 | 3 |
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 |
|
| 9 | 4 |
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 |
|
| 9 | 5 |
Trigonometry
Three Dimensional Geometry |
Trigonometric ratios
Geometrical properties of common solids |
By the end of the
lesson, the learner
should be able to:
Recall and define trigonometric ratios State the geometric properties of common solids ? Education Plus Agencies |
Practice exercise
KLB Pg 4, Ex. 4.1 Advancing BK 4, Ex. 4.1 Advancing BK 4, Ex. 5.1 KLB Pg 4, Ex. 5.1 |
Chart illustrating
Trigonometric ratios 3-D models |
- K.M, Advancing in
Math F4 Pg 51-53 - KLB Bk4 Pg 90-93 |
|
| 9 | 6 |
Three Dimensional
Geometry
|
Skew lines projection
of a line onto a plane
Length of a line in 3D geometry |
By the end of the
lesson, the learner
should be able to:
Identify projection of a line onto a Plane Calculate the length between two points in 3D geometry |
Practice exercise
Advancing BK 4, Ex. 5.1 KLB Pg 4, Ex. 5.2 Ex. 5.4 |
3-D models
|
- K.M, Advancing in
Math F4 Pg 73 - KLB BK 4 Pg 118-119 |
|
| 9 | 7 |
Three Dimensional
Geometry
|
Angle between a line
and a line
|
By the end of the
lesson, the learner
should be able to:
Identify and calculate the angle between a line and a line |
Practice exercise Advancing BK 4, Ex. 5.4 |
3-D models |
- K.M, Advancing in
Math F4 Pg 77-80 |
|
| 10 | 1 |
Three Dimensional
Geometry
|
A line and a plane
A plane and a plane |
By the end of the
lesson, the learner
should be able to:
Identify and calculate the angle between a line and a plane Identify and calculate the angle between a line and a plane |
Practice exercise
Advancing BK 4, Ex. 5.3 and 5.4 KLB Pg 4, Ex. 5.1 Ex. 5.4 KLB Pg 4, Ex. 5.2 |
3-D models
|
- K.M, Advancing in
Math F4 Pg 78-80 - KLB BK 4 Pg 106-109 |
|
| 10 | 2 |
Three Dimensional
Geometry
|
Angles between skew
lines
|
By the end of the
lesson, the learner
should be able to:
Identify and calculate the angle between skew lines |
Practice exercise Advancing BK 4, Ex. 5.4 KLB Pg 4, Ex. 5.2 |
3-D models |
- K.M, Advancing in
Math F4 Pg 78-80 - KLB BK 4 Pg 118-119 |
|
| 10 | 3 |
Longitudes and
Latitudes
|
Latitudes and
longitudes (great and
small circle)
|
By the end of the
lesson, the learner
should be able to:
Define the great and small circle in relation to a sphere (including the earth) |
Practice exercise Advancing BK 4, Ex. 6.2 KLB Pg 4, Ex. 6.1 |
Globe Ball |
- K.M, Advancing in
Math F4 Pg 81-83 - KLB BK 4 Pg 125-126 |
|
| 10 | 4 |
Longitudes and
Latitudes
|
The equator and
Greenwich meridian
Longitudes and Latitudes Position of a place on the surface of the earth |
By the end of the
lesson, the learner
should be able to:
Define the great and small circle in relation to a sphere (including the earth) Locate a place on the earth?s surface in terms of latitude and longitude |
Practice exercise
Advancing BK 4, Ex. 6.2 KLB Pg 4, Ex. 6.1 |
Globe
Ball |
- K.M, Advancing in
Math F4 Pg 83 - KLB BK 4 Pg 126-127 |
|
| 10 | 5 |
Longitudes and
Latitudes
|
Radii of small and
great circles
Distance between two points along the small and great circle in nautical miles and kilometres |
By the end of the
lesson, the learner
should be able to:
Establish the relationship between the radii of small and great circles Calculate the distance between two points along the great circles and small circles (longitudes and latitudes) in nautical miles (nm) and kilometres (km) |
Practice exercise
Advancing BK 4, Ex. 6.4 KLB Pg 4, Ex. 6.2 |
Globe
Ball |
- K.M, Advancing in
Math F4 Pg 89 - KLB BK 4 Pg 133-134 |
|
| 10 | 6 |
Longitudes and
Latitudes
|
Distance in nautical
miles and kilometers
along a circle of latitude
|
By the end of the
lesson, the learner
should be able to:
Calculate the distance in nautical miles and kilometers along a circle of latitude |
Practice exercise Advancing BK 4, Ex. 6.5 KLB Pg 4, Ex. 6.3 |
Globe Ball Calculators |
- K.M, Advancing in
Math F4 Pg 87-98 - KLB BK 4 Pg 130-133 |
|
| 10 | 7 |
Longitudes and
Latitudes
|
Time and longitude
|
By the end of the
lesson, the learner
should be able to:
Calculate time in relation to kilometers per hour |
Practice exercise Advancing BK 4, Ex. 6.5 KLB Pg 4, Ex. 6.3 |
Globe Ball Calculators |
- K.M, Advancing in
Math F4 Pg 91-92 - KLB Bk4Pg141-142 |
|
| 11 | 1 |
Longitudes and
Latitudes
|
Speed in knots and
kilometer per hour
|
By the end of the
lesson, the learner
should be able to:
Calculate speed in knots and kilometer per hour |
Practice exercise Advancing BK 4, Ex. 6.6 KLB Pg 4, Ex. 6.3 |
Real life situation |
- K.M, Advancing in
Math F4 Pg 96-98 - KLB BK 4 Pg 150 |
|
| 11 | 2 |
Longitudes and
Latitudes
|
Speed in knots and
kilometer per hour
|
By the end of the
lesson, the learner
should be able to:
Calculate speed in knots and kilometer per hour |
Practice exercise Advancing BK 4, Ex. 6.6 KLB Pg 4, Ex. 6.3 |
Real life situation |
- K.M, Advancing in
Math F4 Pg 96-98 - KLB BK 4 Pg 150 |
|
| 11 | 3 |
Linear Programming
|
Formation of linear
Inequalities
|
By the end of the
lesson, the learner
should be able to:
Form linear inequalities based on real life situations |
Practice exercise Advancing BK 4, Ex. 7.3 KLB BK 4, Ex. 7.1 |
Inequalities |
- K.M, Advancing in
Math F4 Pg 94-95 - KLB BK 4 Pg 151-152 |
|
| 11 | 4 |
Linear Programming
|
Analytical solutions
of linear inequalities
|
By the end of the
lesson, the learner
should be able to:
Analyze solutions of linear inequalities |
Practice exercise Advancing BK 4, Ex. 7.1 KLB BK 4, Ex. 7.2 |
Square boards Graph papers |
- K.M, Advancing in
Math F4 Pg 95-96 - KLB BK 4 Pg 152-155 |
|
| 11 | 5 |
Linear Programming
|
Solutions of linear
inequalities by graph
|
By the end of the
lesson, the learner
should be able to:
Represent the linear inequalities on a graph |
Representing inequalities in a graph Advancing BK 4, Ex. 7.2 KLB BK 4, Ex. 7.2 |
Square boards |
- K.M, Advancing in
Math F4 Pg 94-95 - KLB BK 4 Pg 151-152 |
|
| 11 | 6 |
Linear Programming
|
Optimization (include
objective)
|
By the end of the
lesson, the learner
should be able to:
Solve and interpret the optimum solution of the linear inequalities |
Practice exercise Advancing BK 4, Ex. 7.5 KLB BK 4, Ex. 7.3 |
Graph paper |
- K.M, Advancing in
Math F4 Pg 95-96 - KLB BK 4 Pg 152-155 |
|
| 11 | 7 |
Linear Programming
|
Application of linear
programming to real
life situation
|
By the end of the
lesson, the learner
should be able to:
Solve and interpret the optimum solution of the linear programming to real life situations |
Practice exercise Advancing BK 4, Ex. 7.5 KLB BK 4, Ex. 7.3 |
Real life situations Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg 99-100 - KLB BK 4 Pg 157-159 |
|
| 12-13 |
END TERM EXAMS AND CLOSING OF SCHOOL |
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