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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
Reporting |
|||||||
| 1 | 2 |
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 |
|
| 1 | 3 |
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 |
|
| 1 | 4 |
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 |
|
| 1 | 5-6 |
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:
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 - K.M, Advancing in Math F4 Pg 41 - KLB Bk4 Pg 71-72 |
|
| 1 | 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 |
|
| 2 | 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 | 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 |
|
| 2 | 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 |
|
| 2 | 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 |
|
| 2 | 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 |
|
| 2 | 5-6 |
Loci
Trigonometry |
Loci under given
conditions including
intersecting chords
Deriving the relation Sin2 0 + Cos2 0 = 1 |
By the end of the
lesson, the learner
should be able to:
Construct loci involving intersecting Loci and under given conditions Derive trigonometric identity Sin2 0 + Cos2 0 = 1 |
Practice exercise KLB Pg 4, Ex. 3.4 Practice exercise Advancing BK 4, Ex. 4.1 Ex 4.2, Ex 4.3 |
Geometrical instruments Charts illustrating the unit circle and right |
- K.M, Advancing in
Math F4 Pg 47-49 - K.M, Advancing in Math F4 Pg 59-64 |
|
| 2 | 7 |
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 |
|
| 3 | 1 |
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 | 2 |
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 | 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 |
|
| 3 | 4 |
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 | 5-6 |
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 - K.M, Advancing in Math F4 Pg 59-64 |
|
| 3 | 7 |
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 | 1 |
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 |
|
| 4 | 2 |
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 | 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 | 5-6 |
Longitudes and
Latitudes
|
The equator and
Greenwich meridian
Longitudes and Latitudes Position of a place on the surface of the earth Radii of small and great circles |
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) 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. 6.2 KLB Pg 4, Ex. 6.1 Ex. 6.4 KLB Pg 4, Ex. 6.2 |
Globe Ball |
- K.M, Advancing in
Math F4 Pg 83 - KLB BK 4 Pg 126-127 - K.M, Advancing in Math F4 Pg 86 - KLB BK 4 Pg 128-129 |
|
| 4 | 7 |
Longitudes and
Latitudes
|
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:
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 87-90 - KLB BK 4 Pg 130-139 |
|
| 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 | 5-6 |
Longitudes and
Latitudes
Linear Programming |
Speed in knots and
kilometer per hour
Formation of linear Inequalities |
By the end of the
lesson, the learner
should be able to:
Calculate speed in knots and kilometer per hour Form linear inequalities based on real life situations |
Practice exercise Advancing BK 4, Ex. 6.6 KLB Pg 4, Ex. 6.3 Practice exercise Advancing BK 4, Ex. 7.3 KLB BK 4, Ex. 7.1 |
Real life situation Inequalities |
- K.M, Advancing in
Math F4 Pg 96-98 - KLB BK 4 Pg 150 - 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 | 5-6 |
Linear Programming
|
Optimization (include
objective)
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 inequalities 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 |
Graph paper Real life situations Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg 95-96 - KLB BK 4 Pg 152-155 - 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 | 5-6 |
Differentiation
Area Approximations |
Delta notation (?)
Area by counting technique |
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 Relate approximate area of irregular shapes by counting technique |
Practice exercise Advancing BK 4, Ex. 8.2 and 8.4 KLB BK 4, Ex. 8.1 Practice exercise Advancing BK 4, Ex. 9.1 KLB BK 4, Ex. 9.1 |
Square boards Graph paper Irregular shapes from Maps Tracing papers |
- K.M, Advancing in
Math F4 Pg114-115 - KLB BK 4 Pg 167-170 - K.M, Advancing in Math F4 Pg125-127 - KLB BK 4 Pg 190-193 |
|
| 8 |
Midterm break |
|||||||
| 9 | 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 |
|
| 9 | 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 |
|
| 9 | 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 |
|
| 9 | 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 |
|
| 9 | 5-6 |
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 |
|
| 9 | 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 |
|
| 10 | 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 |
|
| 10 | 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 |
|
| 10 | 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 |
|
| 10 | 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 |
|
| 10 | 5-6 |
Integration
|
Integral notation
Application in Kinematics |
By the end of the
lesson, the learner
should be able to:
Intergral notation Apply in kinematics |
Practice exercise Advancing BK 4, Ex. 10.5 KLB BK 4, Ex. 10.3 Practice exercise Advancing BK 4, Ex. 10.6 KLB BK 4, Ex. 10.4 |
Polynomials Real life situations |
- K.M, Advancing in
Math F4 Pg142-145 - KLB BK 4 Pg 215-220 - K.M, Advancing in Math F4 Pg145-160 - KLB BK 4 Pg 223-225 |
|
| 11-13 |
DOK exam |
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| 14 |
Closing |
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