LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
Welcome to the Longman Kenya schemes of work
We are delighted to bring you schemes of work ready for use.
The schemes of work are in line with our mission which is to make your work easy so you can focus on the business of teaching.
While preparing these schemes, careful consideration was given to the need to make your classes innovative, lively and inspiring. The
schemes cover the entire secondary cycle, from form 1 to 4. You will need to scroll down the CD to get to your specific subject area.
The subject areas are arranged alphabetically.
We do hope you will find the suggested activities and resources motivating and in line with the curriculum requirements. The schemes
are a guide and you should adapt them to suit your particular circumstances.
The schemes of work are based on the following tried and tested Longman Kenya textbooks and supplementary books:
Textbooks

Explore Mathematics 1-4
Reference Books



Longman KCSE Mathematics Revision
Technician Mathematics book 1 & 3
Pure Mathematics 1&2
To make the most of the schemes you need to have the books listed above.
We know that in this new era of multi-media technology the needs and expectations of your learners are constantly changing, and we
aim to provide inspiring, innovating and high-value books that will keep them interested. Whatever your subject area or interest
Longman Kenya has something for you.
We look forward to supporting you and your learners over the coming years and hope you enjoy using our schemes of work.
Do not hesitate to contact me for any clarifications.
Best wishes
Jacob Macharia
Sales Manager, Longman Kenya
Tel: Mobile – 0724 159770
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
Office – 020 2219177
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
TERM 1
WK PRD TOPIC
SUB-TOPIC
1
Review of form 2
work.
Types of
transformation
3
Matrices and
Transformation
4
Matrices and
Transformation
5
Matrices and
Transformation
6
Matrices and
Transformation
SPECIFIC
OBJECTIVES
TEACHING/
LEARNING
ACTIVITIES
- Learners name
the
transformation
reflection rotation
enlargement
- Translation
TEACHING/
LEARNING
RESOURCES
Previous work
covered
By the end of the
lesson, the learner
should be able to
name the types of
transformation
Relate image and
object under a
given
transformation on
the Cartesian
plane
Identify the matrix
By the end of the Learners draw
- Graph books
of reflection
lesson, the learner Cartesian plane
- Square boards
should be able to and draw the unit
use the unit
square then
square to identify reflect it
the matrix of
reflection on the x
axis line y=x, y=x
Identify the matrix
By the end of the Learners draw the - Graph books
of rotation
lesson, the learner unit square and
- Square boards
should be able to rotate it to
identify the
identify the
matrix of rotation matrix
about the origin
angle +900, -900,
1800
Identify the matrix
By the end of the Learners draw the
of enlargement
lesson, the learner unit square and
should be able to enlarge it on
use the unit
centre (0,0) scale
square to identify factor 2,3
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
REFERENCE
S
Explore
Math’s
Bk4
Pg 273
Explore
Math’s
Bk4
Pg 273
Explore
Math’s
Bk4
Pg 273
Explore
Math’s
Bk4
Pg 273
REMARK
S
2
7
Matrices and
Transformation
1
Matrices and
Transformation
2
Matrices and
Transformation
3
Matrices and
Transformation
4
Matrices and
Transformation
5
Matrices and
Transformation
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
the matrix of an
enlargement
Successive
By the end of the Learners find area Chalkboard
Explore
transformation
lesson, the learner of image given
illustrations
Math’s
using reflection
should be able to area of object and
Bk4
perform
determinant of a
Pg 274
successive
matrix
transformation
using reflection
Successive
By the end of the Learners perform Chalkboard
Explore
transformation
lesson, the learner successive
illustrations
Math’s
using rotation
should be able to transformation
Bk4
perform
Pg 11
successive
transformation
using rotation
Shear
By the end of the Teacher/pupil
- Graph books
Explore
transformation
lesson, the learner discussion
- Square boards Math’s
should be able to
Bk4
state the general
Pg 5
matrix of a shear
Describing shear
By the end of the Learners
- Graph books
Explore
transformation
lesson, the learner transform using a - Square boards Math’s
should be able to shear
Bk4
transform an
Pg 5
object to an
image using a
shear and
describe the shear
fully
Stretch
By the end of the Teacher/pupil
- Graph books
Explore
transformation
lesson, the learner discussion
- Square boards Math’s
should be able to
Bk4
state the general
Pg 6
matrix of a stretch
Describing stretch
By the end of the Teacher/pupil
- Graph books
Explore
transformation
lesson, the learner discussion
- Square boards Math’s
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
3
6
Matrices and
Transformation
1
Matrices and
Transformation
2
Matrices and
Transformation
3
Matrices and
Transformation
4
Matrices and
Transformation
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
should be able to
Bk4
Pg 7
Area scale factor
By the end of the Learners
Chalkboard
Explore
lesson, the learner transform using a illustrations
Math’s
should be able to stretch
Bk4
establish a
Pg 8
relationship
between area
scale factor and
determinant of a
matrix
Inverse of a
By the end of the Learners perform Chalkboard
Explore
transformation
lesson, the learner successive
illustrations
Math’s
should be able to transformation
Bk4
determine the
Pg 142
Inverse of a
transformation
Isometric and non
By the end of the Learners perform Chalkboard
Explore
isometric
lesson, the learner the
illustrations
Math’s
transformation
should be able to transformation
Bk4
define and
distinguish
isometric and non
isometric
transformation
Application to real
By the end of the Teacher/pupil
Chalkboard
Explore
life situation
lesson, the learner discussion
illustrations
Math’s
should be able to
Bk4
apply
transformation to
real life situation
Problem solving
By the end of the Learners rotate
Chalkboard
Explore
lesson, the learner identity matrix
illustrations
Math’s
should be able to
Bk4 Pg 154
solve problems on
matrix and
transformation
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
4
5
Matrices and
Transformation
6
Matrices and
Transformation
7
Matrices and
Transformation
1
Matrices and
Transformation
2
Matrices and
Transformation
3
Matrices and
Transformation
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
Review of form 2
By the end of the Teacher/pupil
Chalkboard
Explore
work. State the
lesson, the learner discussion
illustrations
Math’s
measures of central should be able to
Bk4
tendency
state the measures
of central
tendency and
describe how to
calculate them
Mean using
By the end of the Teacher/pupil
Chalkboard
Explore
assumed mean
lesson, the learner discussion
illustrations
Math’s
should be able to
Bk4 pg 313
calculate the
mean of an
ungrouped data
Mean of grouped
By the end of the Learners answer
Chalkboard
Explore
data using assumed lesson, the learner questions
illustrations
Math’s
mean
should be able to
Bk4 pg 314
calculate the
mean of grouped
data
Cumulative
By the end of the Learners calculate Chalkboard
Explore
frequency table
lesson, the learner mean
illustrations
Math’s
should be able to
Bk4 pg 25
make cumulative
frequency table
Median by
By the end of the Learners calculate Chalkboard
Explore
calculation
lesson, the learner mean
illustrations
Math’s
should be able to
Bk4
estimate the
median by
calculation
Median by Orgive
By the end of the Learners make
Chalkboard
Explore
lesson, the learner cumulative
illustrations
Math’s
should be able to frequency tables
Bk4 pg 29
draw the orgive
and use it to
estimate median
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
5
4
Matrices and
Transformation
5
Statistics
6
Statistics
7
Statistics
1
Statistics
2
Statistics
3
Statistics
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
Quartiles by
By the end of the Learners estimate Past paper
Explore
calculation
lesson, the learner the median
questions
Math’s
should be able to
Bk4
estimate the
quartiles by
calculation
Quartiles by Orgive By the end of the Learners draw an Chalkboard
Explore
lesson, the learner orgive
illustrations
Math’s
should be able to
Bk4
draw the orgive
and use it to
estimate quartiles
Measures of
By the end of the Learners calculate Chalkboard
Explore
dispersion
lesson, the learner upper and lower
illustrations
Math’s
Range
should be able to quartile
Bk4
Interquartile range
Define range
Pg 15
Calculate the
range
Calculate
interquatile range
Quartile deviation
By the end of the Learners draw
Chalkboard
Explore
lesson, the learner orgive and use it
illustrations
Math’s
should be able to to estimate
Bk4
calculate the
quartiles
Pg 31
quartile deviation
Variance
By the end of the Learners state
Chalkboard
Explore
lesson, the learner their marks in a
illustrations
Math’s
should be able to cat then use them
Bk4
calculate variance to calculate range
Pg 157
Standard deviation
By the end of the Teacher/pupil
Chalkboard
Explore
lesson, the learner discussion
illustrations
Math’s
should be able to
Bk4
calculate standard
Pg 163
deviation
Interpret measures
By the end of the Learners interpret Graph books
Explore
on dispersion
lesson, the learner measures of
square boards
Math’s
should be able to dispersion
Bk4
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
6
4
Statistics
5
Statistics
6
Statistics
7
Statistics
1
Statistics
2
Loci
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
interpret
Pg 156
measures of
dispersion
Problem solving
By the end of the Learners solve
Chalkboard
Explore
lesson, the learner problems on
illustrations
Math’s
should be able to statistics
Bk4
solve problems on
Pg 190
statistics
Review of form 1
By the end of the Learners solve
Chalkboard
Explore
work. Geometric
lesson, the learner problems on
illustrations
Math’s
construction
should be able to statistics
Bk4
solve problems on
statistics
By the end of the Learners solve
Chalkboard
Explore
lesson, the learner problems on
illustrations
Math’s
should be able to statistics
Bk4
solve problems on
statistics
By the end of the Learners solve
Chalkboard
Explore
lesson, the learner problems on
illustrations
Math’s
should be able to statistics
Bk4
solve problems on
statistics
By the end of the Learners solve
Past paper
Explore
lesson, the learner problems on
questions
Math’s
should be able to statistics
Bk4
solve problems on
statistics
Definition of Loci
By the end of the Learners
- Pair of
Explore
and terms used in
lesson, the learner construct using a - compass ruler Math’s
loci
should be able to ruler and a pair of - Set square
Bk4
construct parallel compass only
Pg 38
lines,
perpendicular
lines , angles 600,
900 triangles i.e.
given two sides
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
7
3
Loci
4
Loci
5
Loci
6
Loci
7
Loci
1
Loci
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
and an angle
Common types of
By the end of the Teacher/pupil
Chalkboard
Explore
loci in two
lesson, the learner discussion
illustrations
Math’s
dimension
should be able to
Bk4
define loci forms
Pg 44
used in loci
Common types of
By the end of the Learners state the Chalkboard
Explore
loci in 3 dimension lesson, the learner loci
illustrations
Math’s
should be able to
Bk4
state the common
Pg 47
types of loci in 2
dimensions
Perpendicular
By the end of the Learners state the Models of
Explore
bisector loci
lesson, the learner loci
cylinders
Math’s
should be able to
spheres
Bk4
state the common
types of loci in 3
dimensions
Loci of a point at a
By the end of the Learners draw a
Pair of compass Explore
given distance from lesson, the learner perpendicular
ruler
Math’s
a fixed point
should be able to bisector
Bk4
draw a
perpendicular
bisector loci
Angle bisector loci By the end of the Learners draw
Pair of compass Explore
lesson, the learner
ruler
Math’s
should be able to
Bk4
draw the loci of a
point at a given
distance from a
fixed point and a
fixed line
describe this loci
Constant angle loci By the end of the Learners draw
Pair of compass Explore
lesson, the learner
ruler
Math’s
should be able to
Bk4
draw the angle
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
2
Loci
3
Loci
4
Loci
5
Loci
6
Loci
7
Trigonometry
(3)
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
bisector loci and
describe it
Loci involving
By the end of the Learners use the
Chalkboard
Explore
points under given
lesson, the learner knowledge of
illustrations
Math’s
conditions
should be able to angles in the
Bk4
draw and describe same segment
a constant angle
loci
Intersecting loci
By the end of the Teacher/pupil
Ruler pair of
Explore
lesson, the learner discussion
compass
Math’s
should be able to
Bk4
construct loci
involving points
under given
conditions
Loci involving
By the end of the Learners
Ruler pair of
Explore
inequalities
lesson, the learner construct
compass
Math’s
should be able to
Bk4
construct loci
involving
intersecting
Loci involving
By the end of the Learners draw
Ruler pair of
Explore
chords
lesson, the learner inequalities
compass
Math’s
should be able to
Graph books
Bk4
construct loci
involving
inequalities
Problem solving
By the end of the Discussion
Ruler pair of
Explore
lesson, the learner
compass
Math’s
should be able to
Bk4
construct loci
involving chords
Review of form 2
By the end of the Learners solve
Past paper
Explore
and 3 work
lesson, the learner problems
questions
Math’s
should be able to
Bk4
solve problems on
loci
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
8
1
Trigonometry
(3)
2
Trigonometry
(3)
3
Trigonometry
(3)
4
Trigonometry
(3)
5
Trigonometry
(3)
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
Identity
By the end of the Teacher/pupil
Previous work
Explore
2
2
Sin x+cos x=1
lesson, the learner discussion
covered
Math’s
should be able to
Bk4 pg 64
recall and define
trigonometric
ratios
Draw graphs of the By the end of the Teacher/pupil
Chalkboard
Explore
form
lesson, the learner discussion
illustrations
Math’s
y=sinx
should be able to
Bk4 pg 73
y=scosx
draw the graph of
y=stanx
y=atanbx
State the
amplitude, period
wavelength and
phase angle
Draw graph of
By the end of the Learners make
Graph books
Explore
y=sinx
lesson, the learner tables of values
Math’s
should be able to and draw graphs
Bk4
draw the graph of
y=asin (bx+Ө)
state the
amplitude period
wavelength and
phase angle
Draw graph of
By the end of the Learners make
Graph books
Explore
y=cosx
lesson, the learner tables of values
Math’s
should be able to and draw graphs
Bk4
draw the graph of
y=asin (bx+Ө)
state the
amplitude period
wavelength and
phase angle
Draw graph of
By the end of the Learners make
Graph books
Explore
y=tanx
lesson, the learner tables of values
Math’s
should be able to
and draw graphs
Bk4
draw the graph of
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
9
6
Trigonometry
(3)
7
Trigonometry
(3)
1
Trigonometry
(3)
2
Trigonometry
(3)
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
y=asinbx
state the
amplitude, period
wavelength and
phase angle
Draw graph of
By the end of the Learners make
Graph books
Explore
y=asinbx
lesson, the learner tables of values
Math’s
should be able to
and draw graphs
Bk4
draw the graph of
y=asinbx
state the
amplitude, period
wavelength and
phase angle
Draw graph of
By the end of the Learners make
Graph books
Explore
y=sinx
lesson, the learner tables of values
Math’s
should be able
and draw graphs
Bk4
ably to draw the
graph of
y=sinx
state the
amplitude, period
wavelength and
phase angle
Draw graph of
By the end of the Learners make
Graph books
Explore
y=acosbx
lesson, the learner tables of values
Math’s
should be able to
and draw graphs
Bk4
draw the graph of
y=acosbx
state the
amplitude, period
wavelength and
phase angle
Draw graph of
By the end of the Teacher/pupil
Graph books
Explore
y=atanbx
lesson, the learner discussion
Math’s
should be able to
Bk4
draw the graph of
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
3
Trigonometry
(3)
4
Trigonometry
(3)
5
Trigonometry
(3)
6
Trigonometry
(3)
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
y=atanbx
state the
amplitude, period
wavelength and
phase angle
Draw graph of
By the end of the Learners make
Graph books
Explore
y=asin(bx+Ө)
lesson, the learner tables of values
Math’s
should be able to
and draw graphs
Bk4
draw the graph of
y=asin(bx+Ө)
state the
amplitude, period
wavelength and
phase angle
Draw graph of
By the end of the Learners make
Graph books
Explore
y=acos (bx+Ө)
lesson, the learner tables of values
Math’s
should be able to
and draw graphs
Bk4
draw the graph of
y=acos (bx+Ө)
state the
amplitude, period
wavelength and
phase angle
Draw graph of
By the end of the Learners make
Graph books
Explore
y=atan (bx+Ө)
lesson, the learner tables of values
Math’s
should be able to
and draw graphs
Bk4
draw the graph of
y=atan (bx+Ө)
state the
amplitude, period
wavelength and
phase angle
Simple
By the end of the Learners make
Chalkboard
Explore
trigonometric
lesson, the learner tables of values
illustrations
Math’s
equations
should be able to and draw graphs
Bk4
analytically
solve simple
trigonometric
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
7
Trigonometry
(3)
10
Revision
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
equations
Simple
By the end of the Teacher/pupil
Graphs drawn
Explore
trigonometric
lesson, the learner discussion
Math’s
equations
should be able to
Bk4
graphically
solve simple
trigonometric
equations
graphically
OF WORK
COVERED
11,1 END TERM EXAMINATION AND CLOSSING SCHOOL
2,13
and
14
TERM 2
WK
PRD
TOPIC
SUB-TOPIC
1
3
Three
Dimension
Geometry
Common solids
4
Three
Dimension
Geometry
SPECIFIC
OBJECTIVES
TEACHING/
LEARNING
ACTIVITIES
Learners state
property
TEACHING/
LEARNING
RESOURCES
Models of
cubes, cuboids
pyramids
REFERENCE
S
By the end of
Explore
the lesson, the
Math’s
learner should
Bk4
be able to state
Pg79
the geometric
properties of
common solids
Projection of a
By the end of
Learners project - Real life
Explore
line onto a plane the lesson, the
lines onto
situations
Math’s
learner should
planes
- Chalkboard
Bk4
be able to
illustrations
Pg80
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
REMARK
S
2
5
Three
Dimension
Geometry
6
Three
Dimension
Geometry
7
Three
Dimension
Geometry
1
Three
Dimension
Geometry
2
Three
Dimension
Geometry
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
project a line
onto a plane
Skew lines
By the end of
Learners state
Chart
Explore
the lesson, the
skew lines
illustrating a
Math’s
learner should
cuboid and a
Bk4
be able to
pyramid
Pg81
identify skew
lines
Calculate length By the end of
Learners
Model of
Explore
between two
the lesson, the
calculate length cuboid
Math’s
points in a
learner should
Bk4
cuboid
be able to
Pg86
calculate the
length between
two points on a
cuboid
Calculate length By the end of
Learners
Model of a
Explore
between two
the lesson, the
calculate length pyramid
Math’s
points in a
learner should
Bk4
pyramid
be able to
Pg87
calculate the
length between
two points on a
pyramid
Calculate length By the end of
Teacher/pupil
Nets of solids
Explore
between two
the lesson, the
discussion
Math’s
points in other 3 learner should
Bk4
dimensional
be able to
Pg88
solids
calculate the
length between
two points on
any 3
dimensional
solid
Angle between
By the end of
Teacher/pupil
Models of a
Explore
two lines
the lesson, the
discussion
cuboid,
Math’s
learner should
pyramids (wire Bk4
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
3
Three
Dimension
Geometry
4
Three
Dimension
Geometry
5
Three
Dimension
Geometry
6
Three
Dimension
Geometry
7
Three
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
be able to
models)
Pg87
identify and
calculate the
angle between
the two lines
Angle between
By the end of
Teacher/pupil
wire models of Explore
a line and a
the lesson, the
discussion
a cuboid, cube
Math’s
plane
learner should
pyramids
Bk4
be able to
Pg82
identify and
calculate the
angle between a
plane
Angle between
By the end of
Teacher/pupil
Wire models of Explore
two planes
the lesson, the
discussion
a cuboid, cubes Math’s
learner should
and pyramids
Bk4
be able to
Pg89
identify and
calculate the
angle between
two planes
Angle between
By the end of
Teacher/pupil
Wire models of Explore
skew lines
the lesson, the
discussion
a cuboid, cubes Math’s
learner should
and pyramids
Bk4
be able to
Pg93
identify and
calculate the
angle between
skew lines
Application to
By the end of
Teacher/pupil
Models of
Explore
real life
the lesson, the
discussion
common solids Math’s
situation
learner should
Bk4
be able to apply
Pg97-100
3 dimension
geometry to real
life situation
Problem solving By the end of
Learners
Past papers
Past paper
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
Dimension
Geometry
3
1
Longitudes and
Latitudes
2
Longitudes and
Latitudes
3
Longitudes and
Latitudes
4
Longitudes and
Latitudes
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
the lesson, the
answer
questions
learner should
questions
be able to solve
problems on 3
dimension
geometry
Definition
By the end of
Teacher/pupil
Globe of the
Explore
the lesson, the
discussion
earth
Math’s
learner should
Bk4
be able to
Pg101-102
define great and
small circles in
relation to a
sphere
including the
earth
Radii of small
By the end of
Learners
Globe of the
Explore
and great circles the lesson, the
answer
earth wire
Math’s
learner should
questions
model of the
Bk4
be able to
earth
Pg103-104
establish the
relationship
between the
radii of small
and great circles
Point on a great By the end of
Learners read
Globe of the
Explore
circle
the lesson, the
the position of
earth
Math’s
learner should
planes on the
Bk4
be able to locate globe
Pg105
points on a
great circle
Distance
By the end of
Learners state
Wire model of
Explore
between two
the lesson, the
the length of an the earth
Math’s
points two
learner should
arc and use it to
Bk4
places on a
be able to
calculate
Pg105
great circle of
calculate
distance
equator in Km
distance
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
4
5
Longitudes and
Latitudes
6
Longitudes and
Latitudes
7
Longitudes and
Latitudes
1
Longitudes and
Latitudes
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
between two
places on the
equator in Km
Distance
By the end of
Learners use the Wire model of
Explore
between two
the lesson, the
formula for the the earth
Math’s
points two
learner should
length of an arc
Bk4
places on a
be able to
to calculate
Pg106
great circle in
calculate
distance
nm
distance
between two
places on the
meridian in Km
Distance
By the end of
Teacher/pupil
Model of the
Explore
between two
the lesson, the
discussion
earth
Math’s
points two
learner should
Bk4
places on a
be able to
Pg107
great circle of
calculate
equator in Km
distance
between two
places on a
great circle in
Nautical miles
Point on a small By the end of
Learners locate Globe
Explore
circle
the lesson, the
points on the
Math’s
learner should
globe
Bk4
be able to locate
Pg108
points on the
latitude
Distance
By the end of
Teacher/pupil
Wire model of
Explore
between two
the lesson, the
discussion
the earth
Math’s
points two
learner should
Bk4
places on the
be able to
Pg108
latitude in Km
calculate
distance
between two
places on the
latitude in Km
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
2
Longitudes and
Latitudes
3
Longitudes and
Latitudes
4
Longitudes and
Latitudes
5
Longitudes and
Latitudes
6
Longitudes and
Latitudes
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
Distance
By the end of
Teacher/pupil
Wire model of
Explore
between two
the lesson, the
discussion
the earth
Math’s
points two
learner should
Bk4
places on the
be able to
Pg109
latitude in nm
calculate
distance
between two
places on the
latitude in nm
Shortest
By the end of
Teacher/pupil
Wire model of
Explore
distance
the lesson, the
discussion
the earth
Math’s
between two
learner should
Bk4
points two
be able to
Pg110
places the
calculate the
latitude
shortest (via
north pole)
distance
between two
places on the
latitude
Time and
By the end of
Teacher/pupil
Chalkboard
Explore
longitude
the lesson, the
discussion
illustrations
Math’s
learner should
Model
Bk4
be able to
Pg111
calculate time
in relation to
longitude
Speed in Knots By the end of
Teacher/pupil
Chalkboard
Explore
the lesson, the
discussion
illustrations
Math’s
learner should
Bk4
be able to
Pg112
calculate speed
in knots
Speed in Km
By the end of
Teacher/pupil
Chalkboard
Explore
per hour
the lesson, the
discussion
illustrations
Math’s
learner should
Bk4
be able to
Pg113
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
5
7
Longitudes and
Latitudes
1
Longitudes and
Latitudes
2
Linear
Programming
3
Linear
Programming
4
Linear
Programming
5
Linear
Programming
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
calculate speed
in Km/hr
Application to
By the end of
Learners
Chalkboard
Explore
real life
the lesson, the
answer
illustrations
Math’s
situation
learner should
questions
Bk4
be able to apply
Pg114
longitudes and
latitudes to real
life situations
Problem solving By the end of
Learners
Past paper
Explore
the lesson, the
answer
questions
Math’s
learner should
questions
Bk4
be able to solve
Pg115-117
problems on
longitudes and
latitudes
Review
By the end of
Learners state
Previous work
Explore
Linear
the lesson, the
inequality
covered
Math’s
inequalities
learner should
symbols
Bk4
be able to recall
Pg118
linear
inequalities
Solving simple
By the end of
Learners solve
Chalkboard
Explore
linear
the lesson, the
inequalities
illustrations
Math’s
inequalities
learner should
Bk4
be able to solve
Pg119
simple linear
inequalities
Solving simple
By the end of
Learners solve
Chalkboard
Explore
compound
the lesson, the
compound
illustrations
Math’s
linear
learner should
inequalities
Bk4
inequalities
be able to solve
Pg120
compound
linear
inequalities
Form linear
By the end of
Learners form
Chalkboard
Explore
inequalities
the lesson, the
the inequalities illustrations
Math’s
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
6
6
Linear
Programming
7
Linear
Programming
1
Linear
Programming
2
Linear
Programming
3
Linear
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
based on real
learner should
Bk4
life situation
be able to form
Pg121
linear
inequalities
based on real
life situations
Representation
By the end of
Learners
- Graph books
Explore
o the graph
the lesson, the
tabulate values
- Square boards Math’s
Tabulating
learner should
from
Bk4
values
be able to
inequalities
Pg122
tabulate values
of y from a
linear inequality
Graphing
By the end of
Learners draw
Graph books
Explore
the lesson, the
the graphs
Math’s
learner should
Bk4
be able to
Pg123
represent a
linear inequality
on a graph
Optimization
By the end of
Teacher/pupil
- Ruler
Explore
(solve)
the lesson, the
discussion
- set square
Math’s
learner should
- Graph books
Bk4
be able to solve
Pg124
the optimum
solution of the
linear
inequalities
Optimization
By the end of
Teacher/pupil
Graph books
Explore
(interpret)
the lesson, the
discussion
Math’s
learner should
Bk4
be able to
Pg125
interpret the
optimum
solution of the
linear inequality
Application to
By the end of
Learners
- Ruler
Explore
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
Programming
7
4
Differentiation
5
Differentiation
6
Differentiation
7
Differentiation
1
Differentiation
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
real life
the lesson, the
answer
- set square
Math’s
situation
learner should
questions
- Graph books
Bk4
be able to apply
Pg126
linear
programming to
real life
situations
Problem solving By the end of
Learners
Past paper
Explore
the lesson, the
answer
questions
Math’s
learner should
questions
Bk4
be able to solve
Pg127
problems on
linear
programming
Average rate of By the end of
Learners draw a Curve drawn
Explore
change
the lesson, the
curve y=x2
Math’s
learner should
Bk4
be able to find
Pg170
average change
Instantaneous
By the end of
Teacher/pupil
Curve drawn
Explore
rate of change
the lesson, the
discussion
Math’s
learner should
Bk4
be able to find
Pg171
instantaneous
rate of change
Gradient of a
By the end of
Teacher/pupil
Chalkboard
Explore
curve at a point the lesson, the
discussions
illustrations
Math’s
learner should
Bk4
be able to find
Pg172
gradient of a
curve at a point
using a tangent
Delta notation
By the end of
Teacher leads
Chalkboard
Explore
the lesson, the
pupils to discus illustrations
Math’s
learner should
Bk4
be able to relate
Pg173
the delta
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
2
Differentiation
3
Differentiation
4
Differentiation
5
Differentiation
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
notation to rates
of change
Gradient of
By the end of
Learners
Chalkboard
Explore
n
y=x
the lesson, the
differentiate
illustrations
Math’s
learner should
Bk4
be able to find
Pg174
the gradient
function of the
form y=xn (n is
a positive
integer)
Definition
By the end of
Teacher leads
Chalkboard
Explore
the lesson, the
pupils to define illustrations
Math’s
learner should
terms
Bk4
be able to
Pg175
define
Derivative of a
function
Derived
function of a
polynomial
Differentiation
Derivative of a
By the end of
Teacher leads
Chalkboard
Explore
polynomial
the lesson, the
pupils to derive illustrations
Math’s
learner should
Bk4
be able to
Pg176
determine the
derivative of a
polynomial
Equations of
By the end of
Learners find
Chalkboard
Explore
tangents to the
the lesson, the
the equation of
illustrations
Math’s
curve
learner should
length
Bk4
be able to
Pg177
determine the
equation of
tangents to a
curve
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
Equations of
By the end of
Learners find
Chalkboard
Explore
normal to the
the lesson, the
the equation of
illustrations
Math’s
curve
learner should
normal
Bk4
be able to
Pg180
determine the
equation of the
normal to the
curve
7
Differentiation Stationary
By the end of
Learners
Chalkboard
Explore
points
the lesson, the
determine
illustrations
Math’s
learner should
stationary
Bk4
be able to state
points S
Pg181
the stationary
points on a
curve
1
Revision
OF WORK
COVERED
END TERM EXAMINATION AND CLOSSING SCHOOL
6
8
10,11,1
2,13
and 14
Differentiation
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
TERM 3
WK PRD TOPIC
SUB-TOPIC
1
Application of
By the end of the
Explore
stationary points lesson, the learner
Math’s
should be able to
Bk4
use stationary
Pg187
points to solve a
problem
Curve sketching By the end of the Learners sketch
Chalkboard
Explore
lesson, the learner the curves
illustrations
Math’s
should be able to
Bk4
sketch the curves
Pg188-189
Application to
By the end of the Learners apply
Chalkboard
Explore
distance
lesson, the learner distance velocity illustrations
Math’s
velocity and
should be able to and acceleration
Bk4
acceleration
apply
Pg182-185
differentiation to
distance velocity
and acceleration
Maxima and
By the end of the Teacher/pupil
Chalkboard
Explore
minima
lesson, the learner discussions
illustrations
Math’s
should be able to
Bk4
apply
Pg190-191
differentiation to
distance velocity
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
3
Differentiation
4
Differentiation
5
Differentiation
6
Differentiation
SPECIFIC
OBJECTIVES
TEACHING/
LEARNING
ACTIVITIES
Learners state the
stationery points
known
TEACHING/
LEARNING
RESOURCES
Chalkboard
illustrations
REFERENCE
S
REMARKS
2
7
Differentiation
1
Area
Approximation
2
Area
Approximation
3
Area
Approximation
4
Area
Approximation
5
Area
Approximation
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
in finding
maxima and
minima of a
function
Problem solving By the end of the Learners answer
Past paper
Explore
lesson, the learner questions
questions
Math’s
should be able to
Bk4
solve problems on
Pg192-193
differentiation
Area by
By the end of the Learners draw
Models of
Explore
counting
lesson, the learner irregular shapes
irregular shapes Math’s
techniques
should be able to on a squared book on a squared
Bk4
approximate the
then count
book then count Pg194
area of an
squares
squares
irregular shape by
counting
techniques
Trapezium rule By the end of the Teacher leads
Chalkboard
Explore
lesson, the learner pupils to derive
illustrations
Math’s
should be able to the rule
Bk4
derive the
Pg197
trapezium rule
Application of
By the end of the Learners answer
Graphs of
Explore
the Trapezium
lesson, the learner questions
irregular shapes Math’s
rule
should be able to
Bk4
apply the
Pg198
trapezium rule to
estimate area of
irregular shapes
Mid ordinate
By the end of the Teacher leads
Chalkboard
Explore
rule
lesson, the learner pupils to derive
illustrations
Math’s
should be able to the rule
Bk4
apply the mid
Pg199
ordinate rule
Application to
By the end of the Learners answer
- Graphs drawn Explore
the mid ordinate lesson, the learner questions and
- Graph books
Math’s
rule
should be able to draw graphs
Bk4
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
3
6
Area
Approximation
7
Integration
1
Integration
2
Integration
3
Integration
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
apply to apply the
Pg201-202
mid ordinate rule
to estimate area
under a curve
Trapezium rule By the end of the Learners draw
- Graphs drawn Explore
lesson, the learner graphs
- Graph books
Math’s
should be able to
Bk4
apply to derive
Pg200
the trapezium rule
to estimate area
under the curve
Problem solving By the end of the Learners answer
Past paper
Explore
lesson, the learner questions
questions
Math’s
should be able to
Bk4
solve problems on
Pg203
are approximation
Review of
By the end of the Learners solve
Chalkboard
Explore
differentiation
lesson, the learner problems on
illustrations
Math’s
should be able to differentiation
Bk4
carry out the
Pg207
process of
differentiation
Reverse
By the end of the Learners answer
Chalkboard
Explore
differentiation
lesson, the learner questions
illustrations
Math’s
should be able to
Bk4
interpret
Pg208-209
integration as a
reverse process of
differentiation
Integration
By the end of the Teacher/pupil
Chalkboard
Explore
notation
lesson, the learner discussions
illustrations
Math’s
should be able to
Bk4
relate integration
Pg209
notation to sum of
areas of
trapezium under a
curve
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
4
5
4
Integration
5
Integration
6
Integration
7
Integration
1
Integration
2
3
4
5
6
7
1
2
3
4
Revision
Revision
Revision
Revision
Revision
Revision
Revision
Revision
Revision
Revision
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
Integrate a
By the end of the Teacher/pupil
Chalkboard
Explore
polynomial
lesson, the learner discussions
illustrations
Math’s
should be able to
Bk4
integrate a
Pg211-213
polynomial
Indefinite and
By the end of the Teacher/pupil
Chalkboard
Explore
definite
lesson, the learner discussions
illustrations
Math’s
integrals
should be able to
Bk4
integrate and
Pg214
define a definite
integral
Area under a
By the end of the Teacher/pupil
Chalkboard
Explore
curve by
lesson, the learner discussions
illustrations
Math’s
integration
should be able to
Bk4
integration in
Pg212
finding the area
under a curve
Application of
By the end of the Teacher/pupil
Chalkboard
Explore
integration to
lesson, the learner discussions
illustrations
Math’s
kinematics
should be able to
Bk4
apply integration
Pg210-211
in kinematics
Problem solving By the end of the Learners answer
Chalkboard
Explore
lesson, the learner questions
illustrations
Math’s
should be able to
Bk4
solve problems on
Pg217
integration
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
6
7
8
9
10,
11,
12,
13
and
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
5
Revision
6
Revision
7
Revision
1
Revision
2
Revision
3
Revision
4
Revision
5
Revision
6
Revision
7
Revision
1
KCSE
2
KCSE
3
KCSE
4
KCSE
5
KCSE
6
KCSE
7
KCSE
1
KCSE
2
KCSE
3
KCSE
4
KCSE
5
KCSE
6
KCSE
7
KCSE
1
KCSE
2
KCSE
3
KCSE
4
KCSE
5
KCSE
6
KCSE
7
KCSE
END TERM EXAMINATION AND CLOSSING SCHOOL
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 4
14
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING