If this scheme pleases you, click here to download.
| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 2 |
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 |
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 |
|
| 3 | 1-2 |
Matrices and
Transformation
Matrices and Transformation Statistics Statistics Statistics |
Successive
transformation
Single matrix of transformation for successive transformation Relate Identity Matrix and Transformation Inverse of a matrix area scale factor and determinant of a matrix Area of scale factor and determinant of a matrix Shear and stretch Ogive Median Quartile |
By the end of the
lesson, the learner
should be able to:
Perform successive transformation Determine shear and stretch |
Drawing objects and its successive images KLB Ex 1.4 Drawing objects and images under shear and stretch. Ex 1.6 |
Square boards
Peg boards and strings Rubber band Calculators Boards and strings Square boards Peg boards and strings Rubber band Calculators Graph papers |
- K.M, Advancing in
Math F4 Pg 15-17 - KLB Pg 16-24 - K.M, Advancing in Math F4 Pg 10-13 - KLB Pg 28-34 |
|
| 4 | 1-2 |
Statistics
Loci |
Range- inter quartile
range
Quartile deviation Variance Standard deviation Common types of Loci Perpendicular bisector Loci Loci of a point at a given distance from a fixed point and fixed line Angle bisector Loci |
By the end of the
lesson, the learner
should be able to:
Define and calculate measure of dispersion-range, quartiles and inter-quartile range Define locus |
Practice exercise KLB Pg 4, Ex. 2.2 Practice exercise KLB Pg 4, Ex. 3.2 |
Calculators
Geometrical patterns |
- K.M, Advancing in
Math F4 Pg 32-33 - KLB BK 4 - K.M, Advancing in Math F4 Pg 40-41 - KLB Bk4 Pg 68 |
|
| 5 | 1-2 |
Loci
Three Dimensional Geometry |
Constant angle loci
Construction:- loci of the equalities Loci involving chords Loci under given conditions including intersecting chords Geometrical properties of common solids Skew lines projection of a line onto a plane Length of a line in 3D geometry Angle between a line and a line A line and a plane A plane and a plane |
By the end of the
lesson, the learner
should be able to:
Describe common types of loci State the geometric properties of common solids ? Education Plus Agencies |
Practice exercise KLB Pg 4, Ex. 3.2 Practice exercise Advancing BK 4, Ex. 5.1 KLB Pg 4, Ex. 5.1 |
Geometrical patterns
Geometrical instruments 3-D models |
- K.M, Advancing in
Math F4 Pg 42-43 - KLB Bk4 Pg 72-74 - K.M, Advancing in Math F4 Pg 72-73 - KLB BK 4 Pg 104-106 |
|
| 6 | 1-2 |
Three Dimensional
Geometry
Longitudes and Latitudes Longitudes and Latitudes Longitudes and Latitudes Longitudes and Latitudes |
Angles between skew
lines
Latitudes and longitudes (great and small circle) The equator and Greenwich meridian Longitudes and Latitudes Position of a place on the surface of the earth Radii of small and great circles Distance between two points along the small and great circle in nautical miles and kilometres Distance in nautical miles and kilometers along a circle of latitude Time and longitude Speed in knots and kilometer per hour |
By the end of the
lesson, the learner
should be able to:
Identify and calculate the angle between skew lines 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. 5.4 KLB Pg 4, Ex. 5.2 Practice exercise Advancing BK 4, Ex. 6.4 KLB Pg 4, Ex. 6.2 |
3-D models
Globe Ball Globe Ball Calculators Real life situation |
- K.M, Advancing in
Math F4 Pg 78-80 - KLB BK 4 Pg 118-119 - K.M, Advancing in Math F4 Pg 87-90 - KLB BK 4 Pg 130-139 |
|
| 7 | 1-2 |
Linear Programming
Linear Programming Differentiation |
Formation of linear
Inequalities
Analytical solutions of linear inequalities Solutions of linear inequalities by graph Optimization (include objective) Application of linear programming to real life situation Average and instantaneous rates of change |
By the end of the
lesson, the learner
should be able to:
Form linear inequalities based on real life situations Solve and interpret the optimum solution of the linear inequalities |
Practice exercise Advancing BK 4, Ex. 7.3 KLB BK 4, Ex. 7.1 Practice exercise Advancing BK 4, Ex. 7.5 KLB BK 4, Ex. 7.3 |
Inequalities
Square boards Graph papers Graph paper Real life situations Square boards |
- K.M, Advancing in
Math F4 Pg 94-95 - KLB BK 4 Pg 151-152 - K.M, Advancing in Math F4 Pg 95-96 - KLB BK 4 Pg 152-155 |
|
| 8 | 1-2 |
Differentiation
Differentiation Area Approximations |
Differentiation
Gradient of a curve at
a point
Gradient of y = xn where n is a positive interger Delta notation (?) Derivation of a Polynomial Equations of tangents And normal to the Curve Stationery point Curve sketching Application of differentiation to calculation of distance velocity and acceleration Maxima and minima Area by counting technique |
By the end of the
lesson, the learner
should be able to:
Find the gradient of a curve at a point using tangent Sketch a sketch |
Practice exercise Advancing BK 4, Ex. 8.2 KLB BK 4, Ex. 8.1 Practice exercise Advancing BK 4, Ex. 8.6 KLB BK 4, Ex. 8.3 |
Square boards
Graph paper Polynomials Square boards Graph paper Irregular shapes from Maps Tracing papers |
- K.M, Advancing in
Math F4 Pg 109 - KLB BK 4 Pg 162-163 - K.M, Advancing in Math F4 Pg118-120 - KLB BK 4 Pg 174-179 |
|
| 9 | 1-2 |
Area Approximations
Integration |
Trapezium rule
Area using trapezium rule Mid ordinate rule Area by mid ordinate rule Differentiation Reverse differentiation Integration, notation and sum of area trapezia Indefinite and definite intergral Integral notation Application in Kinematics |
By the end of the
lesson, the learner
should be able to:
Find and derive trapezium rule Reverse differentiation |
Practice exercise Advancing BK 4, Ex. 9.3 KLB BK 4, Ex. 9.2 Practice exercise Advancing BK 4, Ex. 10.1 and 10.2 KLB BK 4, Ex. 10.1 |
Square boards
Graph paper Real life situations Real life situations Square boards Graph paper Polynomials |
- K.M, Advancing in
Math F4 Pg128-130 - KLB BK 4 Pg 194-199 - K.M, Advancing in Math F4 Pg135-138 - KLB BK4 Pg207-210 |
|
| 10 |
End of exam |
|||||||
Your Name Comes Here