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 

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 

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 

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 

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 

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 

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 

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 

Matrices and Transformation

Transformation on a Cartesian plane

By the end of the lesson, the learner should be able to:


Relate image and objects under a given
transformation on the Cartesian plane

Drawing objects and
their images on
Cartesian plane
Practice Ex 1.1 P5

Square boards
Peg boards and strings
Rubber band

- K.M, Advancing in
Math F4 Pg 1-3
- KLB Pg 1-6 

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 

Matrices and Transformation

Successive transformation

By the end of the lesson, the learner should be able to:


Perform 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 

Matrices and Transformation

Single matrix of transformation for successive transformation

By the end of the lesson, the learner should be able to:


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 21 

Matrices and Transformation

Relate Identity Matrix and Transformation
Inverse of a matrix area scale factor and determinant of a matrix

By the end of the lesson, the learner should be able to:
Relate identity matrix and
transformation
Determine the inverse of a

Practice exercise Ex 1.4
KLB BK 4
Practice exercise Ex 1.5

Calculators

- K.M, Advancing in
Math F4 Pg 13-14
- KLB Pg 22-24 

Matrices and Transformation

Area of scale factor and determinant of a matrix

By the end of the lesson, the learner should be able to:


Establish and use the relationship between
area scale factor and determinant of a
matrix

Practice exercise Ex 1.5
KLB BK 4 pg 27

Boards and strings
Peg boards and strings
Rubber band
Calculators

- K.M, Advancing in
Math F4 Pg 17-19
- KLB Pg 26-27 

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 

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 

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 

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 

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 

Longitudes and Latitudes

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:
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
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 

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 

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 

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 

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 

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 

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 

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 

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

Area Approximations

Mid ordinate rule

By the end of the lesson, the learner should be able to:


Derive the mid ordinate rule

Practice exercise
Advancing BK 4, Ex. 9.5
KLB BK 4, Ex. 9.3

Square boards
Graph paper

- K.M, Advancing in
Math F4 Pg132-133
- KLB BK 4
Pg 202-205

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 

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 

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 

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 

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 

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 

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
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 

Differentiation

Stationery point

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 

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 

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 

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 

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 

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 

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

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

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 

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 

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 

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 

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 

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 

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

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 

Three Dimensional Geometry

A plane and a plane
Angles between skew lines

By the end of the lesson, the learner should be able to:
Identify and calculate the angle
between a line and a plane
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 113-118 

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 

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 

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 

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 

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

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

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 

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 

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

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 

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 

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 

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 

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 

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 

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 

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