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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 |
OPENING OF SCHOOL |
|||||||
| 2 | 1 |
Trigonometry (II)
|
The unit circle
The unit circle |
By the end of the
lesson, the learner
should be able to:
Draw the unit circle Solve problems using the unit circle |
Discussions
Solving Demonstrating Explaining |
Calculators
Protractor Ruler Pair of compasses |
KLB Mathematics
Book Three Pg 41-42 |
|
| 2 | 2 |
Trigonometry (II)
|
Trigonometric ratios of angles greater than 900
Trigonometric ratios of angles greater than 900 |
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of angles |
Discussions
Solving Demonstrating Explaining |
Calculators
Protractor Ruler Pair of compasses Calculators |
KLB Mathematics
Book Three Pg 44-45 |
|
| 2 | 3 |
Trigonometry (II)
|
Trigonometric ratios of negative angles
Trigonometric ratios of angles greater than 3600 |
By the end of the
lesson, the learner
should be able to:
Find the trigonometric values of negative angles Find the trigonometric values of angles greater than 3600 |
Discussions
Solving Demonstrating Explaining |
geo boards & graph books
|
KLB Mathematics
Book Three Pg 48-49 |
|
| 2 | 4 |
Trigonometry (II)
|
Use of mathematical tables
|
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find sine and cosine |
Discussions
Solving Demonstrating Explaining |
mathematical tables
|
KLB Mathematics
Book Three Pg 51-55 |
|
| 2 | 5 |
Trigonometry (II)
|
Use of mathematical tables
Use of calculators |
By the end of the
lesson, the learner
should be able to:
Use mathematical tables to find tan Use calculators to find sine, cosine and tan |
Discussions
Solving Demonstrating Explaining |
mathematical tables
calculators |
KLB Mathematics
Book Three Pg 55-56 |
|
| 2 | 6 |
Trigonometry (II)
|
Radian measure
Simple trigonometric graphs |
By the end of the
lesson, the learner
should be able to:
Convert degrees to radians and vice versa Draw tables for sine of values Draw graphs of sine functions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 58-61 |
|
| 2 | 7 |
Trigonometry (II)
|
Graphs of cosines
Graphs of tan |
By the end of the
lesson, the learner
should be able to:
Draw tables for cosine of values Draw graphs of cosine functions Draw tables for tan of values Draw graphs of tan functions |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 63-64 |
|
| 3 | 1 |
Trigonometry (II)
|
The sine rule
|
By the end of the
lesson, the learner
should be able to:
State the sine rule Use sine rule to find solution of triangles |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 65-70 |
|
| 3 | 2 |
Trigonometry (II)
|
Cosine rule
Problem solving |
By the end of the
lesson, the learner
should be able to:
State the sine rule Use sine rule to find solution of triangles Solve problems on cosines, sines and tan |
Discussions
Solving Demonstrating Explaining |
Calculators
|
KLB Mathematics
Book Three Pg 71-75 |
|
| 3 | 3 |
Circles: Chords and tangents
|
Length of an arc
Chords |
By the end of the
lesson, the learner
should be able to:
Calculate the length of an arc Calculate the length of a chord |
Discussions
Solving Demonstrating Explaining |
Geometrical set,calculator
Geometrical set ,calculator |
KLB Mathematics
Book Three Pg 124-125 |
|
| 3 | 4 |
Circles: Chords and tangents
|
Parallel chords
Equal chords |
By the end of the
lesson, the learner
should be able to:
Calculate the perpendicular bisector Find the value of parallel chords Find the length of equal chords |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 129-131 |
|
| 3 | 5 |
Circles: Chords and tangents
|
Intersecting chords
|
By the end of the
lesson, the learner
should be able to:
Calculate the length of intersecting chords |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 132-135 |
|
| 3 | 6 |
Circles: Chords and tangents
|
Intersecting chords
Tangent to a circle |
By the end of the
lesson, the learner
should be able to:
Calculate the length of intersecting chords Construct a tangent to a circle |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 135-139 |
|
| 3 | 7 |
Circles: Chords and tangents
|
Tangent to a circle
Properties of tangents to a circle from an external point |
By the end of the
lesson, the learner
should be able to:
Calculate the length of tangent Calculate the angle between tangents State the properties of tangents to a circle from an external point |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 141-142 |
|
| 4 | 1 |
Circles: Chords and tangents
|
Tangents to two circles
Tangents to two circles |
By the end of the
lesson, the learner
should be able to:
Calculate the tangents of direct common tangents Calculate the tangents of transverse common tangents |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 148-149 |
|
| 4 | 2 |
Circles: Chords and tangents
|
Contact of circles
|
By the end of the
lesson, the learner
should be able to:
Calculate the radii of contact circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 151-153 |
|
| 4 | 3 |
Circles: Chords and tangents
|
Contact of circles
Problem solving |
By the end of the
lesson, the learner
should be able to:
Calculate the radii of contact circles Solve problems involving chords, tangents and contact circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 153-154 |
|
| 4 | 4 |
Circles: Chords and tangents
|
Angle in alternate segment
Angle in alternate segment |
By the end of the
lesson, the learner
should be able to:
Calculate the angles in alternate segments |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 157-160 |
|
| 4 | 5 |
Circles: Chords and tangents
|
Circumscribed circle
Escribed circles |
By the end of the
lesson, the learner
should be able to:
Construct circumscribed circles Construct escribed circles |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 165 |
|
| 4 | 6 |
Circles: Chords and tangents
|
Centroid
|
By the end of the
lesson, the learner
should be able to:
Construct centroid |
Discussions
Solving Demonstrating Explaining |
Geometrical set ,calculator
|
KLB Mathematics
Book Three Pg 166 |
|
| 4 | 7 |
Circles: Chords and tangents
Matrices and Transformation |
Orthocenter
Transformation on a Cartesian plane |
By the end of the
lesson, the learner
should be able to:
Construct orthocenter Relate image and objects under a given transformation on the Cartesian plane |
Discussions
Solving Demonstrating Explaining Drawing objects and their images on Cartesian plane Practice Ex 1.1 P5 |
Geometrical set ,calculator
Square boards Peg boards and strings Rubber band |
KLB Mathematics
Book Three Pg 167 |
|
| 5 | 1 |
Matrices and
Transformation
|
Identification of
transformation matrix
|
By the end of the
lesson, the learner
should be able to:
Determine the matrix of a transformation |
Practice exercise KLB EX 1.2 and 1.3 |
Square boards Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 3-9 - KLB Pg 6-16 |
|
| 5 | 2 |
Matrices and
Transformation
|
Successive
transformation
Single matrix of transformation for successive transformation |
By the end of the
lesson, the learner
should be able to:
Perform successive transformation Determine and identify a single matrix for successive transformation |
Drawing objects and its
successive images KLB Ex 1.4 |
Square boards
Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 15-17 - KLB Pg 16-24 |
|
| 5 | 3 |
Matrices and
Transformation
|
Relate Identity Matrix
and Transformation
|
By the end of the
lesson, the learner
should be able to:
Relate identity matrix and transformation |
Practice exercise Ex 1.4 KLB BK 4 |
Calculators |
- K.M, Advancing in
Math F4 Pg 13-14 - KLB Pg 22-24 |
|
| 5 | 4 |
Matrices and
Transformation
|
Inverse of a matrix area
scale factor and
determinant of a matrix
Area of scale factor and determinant of a matrix |
By the end of the
lesson, the learner
should be able to:
Determine the inverse of a transformation Establish and use the relationship between area scale factor and determinant of a matrix |
Practice exercise Ex 1.5
KLB BK 4 KLB BK 4 pg 27 |
Calculators
Boards and strings Peg boards and strings Rubber band |
- K.M, Advancing in
Math F4 Pg 14-15 - KLB Pg 24-26 |
|
| 5 | 5 |
Matrices and
Transformation
|
Shear and stretch
|
By the end of the
lesson, the learner
should be able to:
Determine shear and stretch |
Drawing objects and images under shear and stretch. Ex 1.6 |
Square boards Peg boards and strings Rubber band Calculators |
- K.M, Advancing in
Math F4 Pg 10-13 - KLB Pg 28-34 |
|
| 5 | 6 |
Statistics
|
Ogive
|
By the end of the
lesson, the learner
should be able to:
Use cumulative frequency tables to Draw the ogive |
Drawing cumulative frequency curve (ogive) KLB Pg 4, Ex. 2.2 |
Square boards Graph papers |
- K.M, Advancing in
Math F4 Pg 28-29 - KLB Pg 51-52 |
|
| 5 | 7 |
Statistics
|
Median
|
By the end of the
lesson, the learner
should be able to:
Estimate the median and quartiles by Calculations Ogive |
Practice exercise KLB Pg 4, Ex. 2.2 |
Square boards Graph papers Calculators |
- K.M, Advancing in
Math F4 Pg 29-31 - KLB Pg 48 |
|
| 6 | 1 |
Statistics
|
Quartile
|
By the end of the
lesson, the learner
should be able to:
Estimate median and quartiles by Calculations ogive |
Practice exercise KLB Pg 4, Ex. 2.2 |
Square boards Graph papers Calculators |
- K.M, Advancing in
Math F4 Pg 29-31 - KLB Pg 46 |
|
| 6 | 2 |
Statistics
|
Range- inter quartile
range
|
By the end of the
lesson, the learner
should be able to:
Define and calculate measure of dispersion-range, quartiles and inter-quartile range |
Practice exercise KLB Pg 4, Ex. 2.2 |
Calculators |
- K.M, Advancing in
Math F4 Pg 32-33 - KLB BK 4 |
|
| 6 | 3 |
Statistics
|
Quartile deviation
|
By the end of the
lesson, the learner
should be able to:
Define and calculate measures of dispersion ? quartile deviation |
Practice exercise KLB Pg 4, Ex. 2.2 |
Calculators |
- K.M, Advancing in
Math F4 Pg 34-35 - KLB Bk4 Pg 57-59 |
|
| 6 | 4 |
Statistics
|
Variance
|
By the end of the
lesson, the learner
should be able to:
Define and calculate measures of Dispersion, variance interpret measure of dispersion |
Practice exercise KLB Pg 4, Ex. 2.2 |
Calculators |
- K.M, Advancing in
Math F4 Pg 34-35 - KLB Bk4 Pg 57-59 |
|
| 6 | 5 |
Statistics
|
Standard deviation
|
By the end of the
lesson, the learner
should be able to:
- Define and calculate measures of dispersion, standard deviation - Interpret measures of dispersion |
Ex. 2.3 Exams ? CATS |
Calculators |
- K.M, Advancing in
Math F4 Pg 34-39 - KLB Bk4 Pg 60 |
|
| 6 | 6 |
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 |
|
| 6 | 7 |
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 |
|
| 7 | 1 |
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 |
|
| 7 | 2 |
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 |
|
| 7 | 3 |
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 |
|
| 7 | 4 |
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 |
|
| 7 | 5 |
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 |
|
| 7 | 6 |
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 |
|
| 7 | 7 |
Trigonometry
|
Trigonometric ratios
Deriving the relation Sin2 0 + Cos2 0 = 1 |
By the end of the
lesson, the learner
should be able to:
Recall and define trigonometric ratios Derive trigonometric identity Sin2 0 + Cos2 0 = 1 |
Practice exercise
KLB Pg 4, Ex. 4.1 Advancing BK 4, Ex. 4.1 Ex 4.2, Ex 4.3 |
Chart illustrating
Trigonometric ratios Charts illustrating the unit circle and right |
- K.M, Advancing in
Math F4 Pg 51-53 - KLB Bk4 Pg 90-93 |
|
| 8 | 1 |
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 |
|
| 8 | 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 |
|
| 8 | 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 |
|
| 8 | 4 |
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 |
|
| 8 | 5 |
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 |
|
| 8 | 6 |
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 |
|
| 8 | 7 |
Trigonometry
Three Dimensional Geometry |
Solution to simple
Trigonometric
equations
Geometrical properties of common solids |
By the end of the
lesson, the learner
should be able to:
Solve simple trigonometric equations analytically and graphically State the geometric properties of common solids ? Education Plus Agencies |
Practice exercise
KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.6 Patel BK 4, Ex. 4.4 Ex. 5.1 KLB Pg 4, Ex. 5.1 |
Trigonometric relations
Graphs 3-D models |
- K.M, Advancing in
Math F4 Pg 65-67 - KLB BK 4 Pg 100-102 |
|
| 9 | 1 |
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 |
|
| 9 | 2 |
Three Dimensional
Geometry
|
Angle between a line
and a line
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 line a line and a plane |
Practice exercise
Advancing BK 4, Ex. 5.4 Ex. 5.3 and 5.4 KLB Pg 4, Ex. 5.1 |
3-D models
|
- K.M, Advancing in
Math F4 Pg 77-80 |
|
| 9 | 3 |
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 |
|
| 9 | 4 |
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 |
|
| 9 | 5 |
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 |
|
| 9 | 6 |
Longitudes and
Latitudes
|
The equator and
Greenwich meridian
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:
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 |
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 |
|
| 9 | 7 |
Longitudes and
Latitudes
|
Radii of small and
great circles
|
By the end of the
lesson, the learner
should be able to:
Establish the relationship between the radii of small and great circles |
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 |
|
| 10 | 1 |
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 |
|
| 10 | 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 |
|
| 10 | 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 |
|
| 10 | 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 |
|
| 10 | 5 |
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 |
|
| 10 | 6 |
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 |
|
| 10 | 7 |
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 |
|
| 11 | 1 |
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 |
|
| 11 | 2 |
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 |
|
| 11 | 3 |
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 |
|
| 11 | 4 |
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 |
|
| 11 | 5 |
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 |
|
| 11 | 6 |
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 |
|
| 11 | 7 |
Differentiation
|
Delta notation (?)
Derivation of a Polynomial |
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 Determine the derivate of a polynomial |
Practice exercise
Advancing BK 4, Ex. 8.2 and 8.4 KLB BK 4, Ex. 8.1 Ex. 8.1 |
Square boards
Graph paper Polynomials |
- K.M, Advancing in
Math F4 Pg114-115 - KLB BK 4 Pg 167-170 |
|
| 12 | 1 |
Differentiation
|
Equations of tangents
And normal to the
Curve
Stationery point |
By the end of the
lesson, the learner
should be able to:
Find the equations of tangents and normals to the curves Sketch a sketch |
Practice exercise
Advancing BK 4, Ex. 8.5 KLB BK 4, Ex. 8.2 Ex. 8.6 KLB BK 4, Ex. 8.3 |
Square boards
Graph paper |
- K.M, Advancing in
Math F4 Pg117-118 - KLB BK 4 Pg 173-174 |
|
| 12 | 2 |
Differentiation
|
Curve sketching
|
By the end of the
lesson, the learner
should be able to:
Sketch a curve |
Practice exercise Advancing BK 4, Ex. 8.7 KLB BK 4, Ex. 8.4 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg120-121 - KLB BK 4 Pg 180-181 |
|
| 12 | 3 |
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 |
|
| 12 | 4 |
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 |
|
| 12 | 5 |
Area Approximations
|
Area by counting
technique
Trapezium rule |
By the end of the
lesson, the learner
should be able to:
Relate approximate area of irregular shapes by counting technique Find and derive trapezium rule |
Practice exercise
Advancing BK 4, Ex. 9.1 KLB BK 4, Ex. 9.1 Advancing BK 4, Ex. 9.3 KLB BK 4, Ex. 9.2 |
Irregular shapes from
Maps Tracing papers Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg125-127 - KLB BK 4 Pg 190-193 |
|
| 12 | 6 |
Area Approximations
|
Area using trapezium
rule
|
By the end of the
lesson, the learner
should be able to:
Apply trapezium rule estimate area under curves |
Practice exercise Advancing BK 4, Ex. 9.4 KLB BK 4, Ex. 9.2 |
Square boards Graph paper |
- K.M, Advancing in
Math F4 Pg130-132 - KLB BK 4 Pg 195-199 |
|
| 12 | 7 |
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 |
|
| 13 | 1 |
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 |
|
| 13 | 2 |
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 |
|
| 13 | 3 |
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 |
|
| 13 | 4 |
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 |
|
| 13 | 5 |
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 |
|
| 13 | 6 |
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 |
|
| 13 | 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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