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WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
---|---|---|---|---|---|---|---|---|
1 |
Opening and Revision |
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2 | 1 |
Matrices and
Transformation
|
Transformation on a
Cartesian plane
Identification of transformation matrix |
By the end of the
lesson, the learner
should be able to:
Relate image and objects under a given transformation on the Cartesian plane Determine the matrix of a transformation |
Drawing objects and
their images on Cartesian plane Practice Ex 1.1 P5 Practice exercise KLB EX 1.2 and 1.3 |
Square boards
Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 1-3 - KLB Pg 1-6 |
|
2 |
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 |
||
3 |
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 |
||
4 |
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 |
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 |
||
6 |
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 |
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 |
||
3 | 1 |
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 |
|
2 |
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 |
||
3 |
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 |
||
4 |
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 |
||
5 |
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 |
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 |
||
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 |
||
4 | 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 |
|
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 |
||
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 |
||
4 |
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 |
||
5 |
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 |
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 |
||
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 |
||
5 | 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 |
|
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 |
||
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 |
||
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 |
||
5 |
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 |
||
6 |
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 |
||
7 |
Three Dimensional
Geometry
|
Geometrical properties
of common solids
|
By the end of the
lesson, the learner
should be able to:
State the geometric properties of common solids ? Education Plus Agencies |
Practice exercise Advancing BK 4, Ex. 5.1 KLB Pg 4, Ex. 5.1 |
3-D models |
- K.M, Advancing in
Math F4 Pg 72-73 - KLB BK 4 Pg 104-106 |
||
6 | 1 |
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 |
|
2 |
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 |
||
3 |
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 |
||
4 |
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 |
||
5 |
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 |
||
6 |
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 |
||
7 |
Longitudes and
Latitudes
|
The equator and
Greenwich meridian
|
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 83 - KLB BK 4 Pg 126-127 |
||
7 |
Mid term exams |
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8 |
Mid term break |
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9 | 1 |
Longitudes and
Latitudes
|
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:
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 86 - KLB BK 4 Pg 128-129 |
|
2 |
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 |
||
3 |
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 |
||
4 |
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 |
||
5 |
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 |
||
6 |
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 |
||
7 |
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 |
||
10 | 1 |
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 |
|
2 |
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 |
||
3 |
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 |
||
4 |
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 |
||
5 |
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 |
||
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 |
||
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 |
||
11 |
End term exams |
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12 |
End term exams and review |
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