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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
REPORTING AND REVISION OF HOLIDAY ASSIGNMENT |
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| 2 | 1 |
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 |
|
| 2 | 2-3 |
Trigonometry
|
Deriving the relation
Sin2 0 + Cos2 0 = 1
Trigonometric ratios of the form y = sin x y = tan x y = cos x |
By the end of the
lesson, the learner
should be able to:
Derive trigonometric identity Sin2 0 + Cos2 0 = 1 Draw graphs of trigonometric ratios of the form y = sin x y = tan x y = cos x |
Practice exercise Advancing BK 4, Ex. 4.1 Ex 4.2, Ex 4.3 Practice exercise KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.4 and 4.5 Patel BK 4, Ex. 4.2 |
Charts illustrating the unit circle and right Square boards Graph papers |
- K.M, Advancing in
Math F4 Pg 59-64 - K.M, Advancing in Math F4 Pg 59-64 - KLB Bk4 Pg 96-99 |
|
| 2 | 4 |
Trigonometry
|
Graphs of
Trigonometric relations
y = a sin x
y = a cos x
y = a tan x
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of trigonometric relations y = sin x y = cos x y = tan x |
Drawing graphs KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.4 Patel BK 4, Ex. 4.3 |
Square boards Graph papers |
- K.M, Advancing in
Math F4 Pg 59-63 - KLB Bk4 Pg 96-99 |
|
| 3 | 1 |
Trigonometry
|
Simple trigonometric
equations, amplitudes,
period, wavelength and
phase angle of
trigonometric function
|
By the end of the
lesson, the learner
should be able to:
Deduce from the graphs y = sin x y = tan x y = cos x The amplitude, wavelength and phase angle |
Practice exercise |
Trigonometric relations Graphs |
- K.M, Advancing in
Math F4 Pg 59-63 |
|
| 3 | 2-3 |
Trigonometry
|
Simple trigonometric
equations, amplitudes,
period, wavelength and
phase angle of
trigonometric function
Trigonometry y = a sin (bx + 0) |
By the end of the
lesson, the learner
should be able to:
Deduce from the graphs y = sin x y = tan x y = cos x The amplitude, wavelength and phase angle Draw graphs of trigonometric ratios of the form y = a sin (bx + 0) |
Practice exercise Drawing graphs |
Trigonometric relations Graphs Square boards Graph papers |
- K.M, Advancing in
Math F4 Pg 59-63 - K.M, Advancing in Math F4 Pg 60 |
|
| 3 | 4 |
Trigonometry
|
Trigonometry
y = a cos (bx + 0)
y = a tan (bx + 0)
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of trigonometric ratios of the form y = a cos (bx + 0) y = a tan (bx + 0) |
Drawing graphs |
Square boards Graph papers |
- K.M, Advancing in
Math F4 Pg 59-64 |
|
| 4 | 1 |
Trigonometry
|
Amplitude, period,
wavelength and phase
Phase angles of
trigonometric function
|
By the end of the
lesson, the learner
should be able to:
Deduce the graphs y = a sin (bx + 0) y = a cos (bx + 0) y = a tan (bx + 0) |
Practice exercise |
Trigonometric relations Graphs |
- K.M, Advancing in
Math F4 Pg 59-64 |
|
| 4 | 2-3 |
Trigonometry
Longitudes and Latitudes |
Solution to simple
Trigonometric
equations
Latitudes and longitudes (great and small circle) |
By the end of the
lesson, the learner
should be able to:
Solve simple trigonometric equations analytically and graphically Define the great and small circle in relation to a sphere (including the earth) |
Practice exercise KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.6 Patel BK 4, Ex. 4.4 Practice exercise Advancing BK 4, Ex. 6.2 KLB Pg 4, Ex. 6.1 |
Trigonometric relations Graphs Globe Ball |
- K.M, Advancing in
Math F4 Pg 65-67 - KLB BK 4 Pg 100-102 - K.M, Advancing in Math F4 Pg 81-83 - KLB BK 4 Pg 125-126 |
|
| 4 | 4 |
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 |
|
| 5 | 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 |
|
| 5 | 2-3 |
Longitudes and
Latitudes
|
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 |
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 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. 6.2 KLB Pg 4, Ex. 6.1 Practice exercise Advancing BK 4, Ex. 6.4 KLB Pg 4, Ex. 6.2 |
Globe Ball |
- K.M, Advancing in
Math F4 Pg 86 - KLB BK 4 Pg 128-129 - K.M, Advancing in Math F4 Pg 89 - KLB BK 4 Pg 133-134 |
|
| 5 | 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 |
|
| 6 | 1 |
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 | 2-3 |
Longitudes and
Latitudes
|
Time and longitude
Speed in knots and kilometer per hour |
By the end of the
lesson, the learner
should be able to:
Calculate time in relation to kilometers per hour Calculate speed in knots and kilometer per hour |
Practice exercise Advancing BK 4, Ex. 6.5 KLB Pg 4, Ex. 6.3 Practice exercise Advancing BK 4, Ex. 6.6 KLB Pg 4, Ex. 6.3 |
Globe Ball Calculators Real life situation |
- K.M, Advancing in
Math F4 Pg 91-92 - KLB Bk4Pg141-142 - K.M, Advancing in Math F4 Pg 96-98 - KLB BK 4 Pg 150 |
|
| 6 | 4 |
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 | 1 |
Differentiation
|
Average and
instantaneous rates of
change
|
By the end of the
lesson, the learner
should be able to:
Find out the average rates of change and instantaneous rate of change |
Practice exercise Advancing BK 4, Ex. 8.1 KLB BK 4, Ex. 8.1 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg100-103 - KLB BK 4 Pg 157-159 |
|
| 7 | 2-3 |
Differentiation
|
Differentiation
Gradient of a curve at
a point
|
By the end of the
lesson, the learner
should be able to:
Find the gradient of a curve at a point using tangent |
Practice exercise Advancing BK 4, Ex. 8.2 KLB BK 4, Ex. 8.1 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg 109 - KLB BK 4 Pg 162-163 |
|
| 7 | 4 |
Differentiation
|
Gradient of y = xn
where n is a positive
interger
|
By the end of the
lesson, the learner
should be able to:
Find the gradient function of the form y = xn (n = positive interger) |
Practice exercise Advancing BK 4, Ex. 8.2 and 8.3 KLB BK 4, Ex. 8.1 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg 110 - KLB BK 4 Pg 164-167 |
|
| 8 |
MID TERM EXAMS |
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| 8 |
MID TERM BREAK |
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| 9 | 1 |
Differentiation
|
Delta notation (?)
|
By the end of the
lesson, the learner
should be able to:
- Relate the delta notation to rates of change - Define derivative of a function polynomial and differentiation |
Practice exercise Advancing BK 4, Ex. 8.2 and 8.4 KLB BK 4, Ex. 8.1 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg114-115 - KLB BK 4 Pg 167-170 |
|
| 9 | 2-3 |
Differentiation
|
Derivation of a
Polynomial
Equations of tangents And normal to the Curve |
By the end of the
lesson, the learner
should be able to:
Determine the derivate of a polynomial Find the equations of tangents and normals to the curves |
Practice exercise Advancing BK 4, Ex. 8.1 KLB BK 4, Ex. 8.1 Practice exercise Advancing BK 4, Ex. 8.5 KLB BK 4, Ex. 8.2 |
Polynomials Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg116-117 - KLB BK 4 Pg 170-171 - K.M, Advancing in Math F4 Pg117-118 - KLB BK 4 Pg 173-174 |
|
| 9 | 4 |
Differentiation
|
Stationery point
Curve sketching |
By the end of the
lesson, the learner
should be able to:
Sketch a sketch Sketch a curve |
Practice exercise
Advancing BK 4, Ex. 8.6 KLB BK 4, Ex. 8.3 Ex. 8.7 KLB BK 4, Ex. 8.4 |
Square boards
Graph paper |
- K.M, Advancing in
Math F4 Pg118-120 - KLB BK 4 Pg 174-179 |
|
| 10 | 1 |
Differentiation
|
Application of
differentiation to
calculation of distance
velocity and acceleration
|
By the end of the
lesson, the learner
should be able to:
Apply differentiation in calculating distance, velocity and accelaration |
Practice exercise Advancing BK 4, Ex. 8.8 KLB BK 4, Ex. 8.5 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg121-123 - KLB BK 4 Pg 182-183 |
|
| 10 | 2-3 |
Differentiation
|
Maxima and minima
|
By the end of the
lesson, the learner
should be able to:
Apply differentiation in finding maxima and minima of a function |
Practice exercise Advancing BK 4, Ex. 8.9 KLB BK 4, Ex. 8.6 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg118-120 - KLB BK 4 Pg 186-188 |
|
| 10 | 4 |
Area Approximations
|
Area by counting
technique
|
By the end of the
lesson, the learner
should be able to:
Relate approximate area of irregular shapes by counting technique |
Practice exercise Advancing BK 4, Ex. 9.1 KLB BK 4, Ex. 9.1 |
Irregular shapes from Maps Tracing papers |
- K.M, Advancing in
Math F4 Pg125-127 - KLB BK 4 Pg 190-193 |
|
| 11 | 1 |
Area Approximations
|
Trapezium rule
|
By the end of the
lesson, the learner
should be able to:
Find and derive trapezium rule |
Practice exercise Advancing BK 4, Ex. 9.3 KLB BK 4, Ex. 9.2 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg128-130 - KLB BK 4 Pg 194-199 |
|
| 11 | 2-3 |
Area Approximations
|
Area using trapezium
rule
Mid ordinate rule Area by mid ordinate rule |
By the end of the
lesson, the learner
should be able to:
Apply trapezium rule estimate area under curves Derive the mid ordinate rule Apply mid ordinate rule to approximate area under a curve |
Practice exercise
Advancing BK 4, Ex. 9.4 KLB BK 4, Ex. 9.2 Advancing BK 4, Ex. 9.5 KLB BK 4, Ex. 9.3 Practice exercise Advancing BK 4, Ex. 9.5 KLB BK 4, Ex. 9.3 |
Square boards
Graph paper Real life situations |
- K.M, Advancing in
Math F4 Pg130-132 - KLB BK 4 Pg 195-199 - K.M, Advancing in Math F4 Pg132-133 - KLB BK 4 Pg 202-205 |
|
| 12 |
END OF TERM EXAMS AND MARKING |
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| 13 |
RESULTS ANALYSIS AND CLOSING |
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