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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 |
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 |
Practice exercise Advancing BK 4, Ex. 8.6 KLB BK 4, Ex. 8.3 |
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 Apply mid ordinate rule to approximate area under a curve |
Practice exercise Advancing BK 4, Ex. 9.4 KLB BK 4, Ex. 9.2 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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