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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Trigonometry
|
Deriving the relation
Sin2 0 + Cos2 0 = 1
|
By the end of the
lesson, the learner
should be able to:
Derive trigonometric identity Sin2 0 + Cos2 0 = 1 |
Practice exercise Advancing BK 4, Ex. 4.1 Ex 4.2, Ex 4.3 |
Charts illustrating the unit circle and right |
- K.M, Advancing in
Math F4 Pg 59-64 |
|
| 2 | 2 |
Trigonometry
|
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:
Draw graphs of trigonometric ratios of the form y = sin x y = tan x y = cos x |
Practice exercise KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.4 and 4.5 Patel BK 4, Ex. 4.2 |
Square boards Graph papers |
- K.M, Advancing in
Math F4 Pg 59-64 - KLB Bk4 Pg 96-99 |
|
| 2 | 3 |
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 |
|
| 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 |
|
| 2 | 5 |
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 |
|
| 2 | 6 |
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 |
|
| 2 | 7 |
Trigonometry
|
Trigonometry
y = a sin (bx + 0)
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 sin (bx + 0) 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 60 |
|
| 3 | 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 |
|
| 3 | 2 |
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 |
|
| 3 | 3 |
Trigonometry
|
Solution to simple
Trigonometric
equations
|
By the end of the
lesson, the learner
should be able to:
Solve simple trigonometric equations analytically and graphically |
Practice exercise KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.6 Patel BK 4, Ex. 4.4 |
Trigonometric relations Graphs |
- K.M, Advancing in
Math F4 Pg 65-67 - KLB BK 4 Pg 100-102 |
|
| 3 | 4 |
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 |
|
| 3 | 5 |
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 |
|
| 3 | 6 |
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 | 7 |
Three Dimensional
Geometry
|
A line 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 |
Practice exercise
Advancing BK 4, Ex. 5.3 and 5.4 KLB Pg 4, Ex. 5.1 |
3-D models |
- K.M, Advancing in
Math F4 Pg 78-80 - KLB BK 4 Pg 106-109 |
|
| 4 | 1 |
Three Dimensional
Geometry
|
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 |
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 113-118 |
|
| 4 | 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 |
|
| 4 | 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 |
|
| 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 |
|
| 4 | 5 |
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 |
|
| 4 | 6 |
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 |
|
| 4 | 7 |
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 |
|
| 5 | 1 |
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 | 2 |
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 | 3 |
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 |
|
| 5 | 4 |
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 |
|
| 5 | 5 |
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 |
|
| 5 | 6 |
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 |
|
| 5 | 7 |
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 |
|
| 6 | 1 |
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 |
|
| 6 | 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 |
|
| 6 | 3 |
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 |
|
| 6 | 4 |
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 | 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 | 6 |
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 |
|
| 6 | 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 |
|
| 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 |
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 | 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 |
|
| 7 | 5 |
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 |
|
| 7 | 6 |
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 |
|
| 7 | 7 |
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 |
|
| 8 | 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 |
|
| 8 | 2 |
Area Approximations
|
Area using trapezium
rule
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 |
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 |
Square boards
Graph paper |
- K.M, Advancing in
Math F4 Pg130-132 - KLB BK 4 Pg 195-199 |
|
| 8-10 |
Mid term exam and mid term break |
|||||||
| 10 | 3 |
Area Approximations
|
Area by mid ordinate
rule
|
By the end of the
lesson, the learner
should be able to:
Apply mid ordinate rule to approximate area under a curve |
Practice exercise Advancing BK 4, Ex. 9.5 KLB BK 4, Ex. 9.3 |
Real life situations |
- K.M, Advancing in
Math F4 Pg132-133 - KLB BK 4 Pg 202-205 |
|
| 10 | 4 |
Area Approximations
|
Area by mid ordinate
rule
|
By the end of the
lesson, the learner
should be able to:
Apply mid ordinate rule to approximate area under a curve |
Practice exercise Advancing BK 4, Ex. 9.5 KLB BK 4, Ex. 9.3 |
Real life situations |
- K.M, Advancing in
Math F4 Pg132-133 - KLB BK 4 Pg 202-205 |
|
| 10 | 5 |
Integration
|
Differentiation
|
By the end of the
lesson, the learner
should be able to:
Carry out the process of differentiation |
Practice exercise Advancing BK 4, Ex. 10.1 KLB BK 4, Ex. 10.1 |
Real life situations |
- K.M, Advancing in
Math F4 Pg133-134 - KLB BK 4 Pg 202-205 |
|
| 10 | 6 |
Integration
|
Differentiation
|
By the end of the
lesson, the learner
should be able to:
Carry out the process of differentiation |
Practice exercise Advancing BK 4, Ex. 10.1 KLB BK 4, Ex. 10.1 |
Real life situations |
- K.M, Advancing in
Math F4 Pg133-134 - KLB BK 4 Pg 202-205 |
|
| 10 | 7 |
Integration
|
Reverse differentiation
|
By the end of the
lesson, the learner
should be able to:
Reverse differentiation |
Practice exercise Advancing BK 4, Ex. 10.1 and 10.2 KLB BK 4, Ex. 10.1 |
Real life situations |
- K.M, Advancing in
Math F4 Pg135-138 - KLB BK4 Pg207-210 |
|
| 11 | 1 |
Integration
|
Integration, notation
and sum of area
trapezia
|
By the end of the
lesson, the learner
should be able to:
Integrate notations and sum of areas of trapezia |
Practice exercise Advancing BK 4, Ex. 10.3 KLB BK 4, Ex. 10.1 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg138-140 - KLB BK 4 Pg 212-215 |
|
| 11 | 2 |
Integration
|
Integration, notation
and sum of area
trapezia
|
By the end of the
lesson, the learner
should be able to:
Integrate notations and sum of areas of trapezia |
Practice exercise Advancing BK 4, Ex. 10.3 KLB BK 4, Ex. 10.1 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg138-140 - KLB BK 4 Pg 212-215 |
|
| 11 | 3 |
Integration
|
Indefinite and definite
intergral
|
By the end of the
lesson, the learner
should be able to:
Indefine and define intergral |
Practice exercise Advancing BK 4, Ex. 10.4 KLB BK 4, Ex. 10.2 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg140-142 - KLB BK 4 Pg 212-215 |
|
| 11 | 4 |
Integration
|
Indefinite and definite
intergral
|
By the end of the
lesson, the learner
should be able to:
Indefine and define intergral |
Practice exercise Advancing BK 4, Ex. 10.4 KLB BK 4, Ex. 10.2 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg140-142 - KLB BK 4 Pg 212-215 |
|
| 11 | 5 |
Integration
|
Integral notation
|
By the end of the
lesson, the learner
should be able to:
Intergral notation |
Practice exercise Advancing BK 4, Ex. 10.5 KLB BK 4, Ex. 10.3 |
Polynomials |
- K.M, Advancing in
Math F4 Pg142-145 - KLB BK 4 Pg 215-220 |
|
| 11 | 6 |
Integration
|
Application in
Kinematics
|
By the end of the
lesson, the learner
should be able to:
Apply in kinematics |
Practice exercise Advancing BK 4, Ex. 10.6 KLB BK 4, Ex. 10.4 |
Real life situations |
- K.M, Advancing in
Math F4 Pg145-160 - KLB BK 4 Pg 223-225 |
|
| 11 | 7 |
Integration
|
Application in
Kinematics
|
By the end of the
lesson, the learner
should be able to:
Apply in kinematics |
Practice exercise Advancing BK 4, Ex. 10.6 KLB BK 4, Ex. 10.4 |
Real life situations |
- K.M, Advancing in
Math F4 Pg145-160 - KLB BK 4 Pg 223-225 |
|
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