SCHEME OF WORK
Mathematics
Form 4 2021
TERM I
School










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WK LSN TOPIC SUB-TOPIC OBJECTIVES L/ACTIVITIES L/T AIDS REFERENCE REMARKS
2 1
Sequences And Series
Number patens
By the end of the lesson, the learner should be able to:
Identify simple number patens
Learners identify number patens
Chart illustrating different number patens
Explore
Maths Bk3
Pg189
2 2
Sequences And Series
Sequence
By the end of the lesson, the learner should be able to:
define a sequence
Determine a term in a sequence
Learners define sequence
Chalkboard illustrations
Explore
Maths Bk3
Pg192
2 3
Sequences And Series
Arithmetic Sequence
Geometric Sequence
By the end of the lesson, the learner should be able to:
apply the formula a+(n-1)d to find the first term and the common difference
apply the formula arn-1 to find the first term and the common ratio
Learners calculate the first term and the common difference
Learners calculate the first term
- Chalkboard illustrations
- calculators
Explore
Maths Bk3
Pg195
2 4
Sequences And Series
Arithmetic series
By the end of the lesson, the learner should be able to:
define an arithmetic series
Discussions
Chalkboard illustrations
Explore
Maths Bk3
Pg197
2 5
Sequences And Series
Deriving the arithmetic series formula
By the end of the lesson, the learner should be able to:
derive the formula sn=n (2a+(n-1)d)
Learners derive the formula
Chalkboard illustrations
Explore
Maths Bk3
Pg198
2 6
Sequences And Series
Application of AP formula
By the end of the lesson, the learner should be able to:
apply the A-P formula to solve problems
Learners solve problems
- Chalkboard illustrations
- calculators
Explore
Maths Bk3
Pg199-200
2 7
Sequences And Series
Geometric series
By the end of the lesson, the learner should be able to:
define a geometric series
Discussions
illustrations
Explore
Maths Bk3
Pg201
3 1
Sequences And Series
Deriving the Geometric series
By the end of the lesson, the learner should be able to:
derive the formula
sn=a(rn-1)
r-1 or
sn=a(1- rn)
1-r
Learners derive the formula
- Chalkboard illustrations
- calculators
Explore
Maths Bk3
Pg202
3 2
Sequences And Series
Application of the AP formula
Application to real life situation
By the end of the lesson, the learner should be able to:
apply the GP formula to solve problems
apply the A.P and G.P formula to solve problems in real life situations
Learners solve problems
Chalkboard illustrations
Explore
Maths Bk3
Pg203-204
3 3
Sequences And Series
Problem solving
By the end of the lesson, the learner should be able to:
solve problems on sequence and series
Learners solve problems
Past paper questions
Past papers
3 4
Vector (2)
Coordinates in two dimensions
By the end of the lesson, the learner should be able to:
locate a point in two dimension coordinate system
Learners draw a Cartesian plane and locate a point
Chart illustrating two dimension coordinates
Explore
Maths Bk3
Pg234
3 5
Vector (2)
Coordinates in 3 dimensions
By the end of the lesson, the learner should be able to:
locate a point in three dimension coordinate system
Learners draw a 3 dimension Cartesian plane and locate a point
Model of cube and a cuboid
Ex Explore
Maths Bk3
Pg 235
3 6
Vector (2)
Column vector in 3 dimensions
By the end of the lesson, the learner should be able to:
represent vectors as column vectors in three dimension
Learners represent vectors in 3 dimension
Model of a cube
Explore
Maths Bk3
Pg235
3 7
Vector (2)
Position vector in 3 dimensions
Column vector and Position vector
By the end of the lesson, the learner should be able to:
represent vectors as position vectors in three dimension
distinguish between a column vector from a position vector
Teacher/pupil discussion
Chalkboard illustrations
Chalkboard illustrations
Explore
Maths Bk3
Pg235
4 1
Vector (2)
Column vectors in terms of I , j and k
By the end of the lesson, the learner should be able to:
represent column vectors in terms of I , j and k
Teacher/pupil discussion
Chalkboard illustrations
Explore
Maths Bk3
Pg236
4 2
Vector (2)
Magnitude of vector in 3 dimension
By the end of the lesson, the learner should be able to:
determine the magnitude of a vector in three dimensions
Teacher/pupil discussion
Chalkboard illustrations
Explore
Maths Bk3
Pg238
4 3
Vector (2)
Internal division of a line
By the end of the lesson, the learner should be able to:
use vector method to divide a line internally
Teacher/pupil discussion
illustrations
Explore
Maths Bk3
Pg245
4 4
Vector (2)
External division of a line
By the end of the lesson, the learner should be able to:
use vector method in dividing a line externally
Learners state the ratio in which a point divides a line
Chalkboard illustrations
Explore
Maths Bk3
Pg246
4 5
Vector (2)
Parallel vectors
By the end of the lesson, the learner should be able to:
use vector method to show collinearity
Learners show parallelism
Chalkboard illustrations
Explore
Maths Bk3
Pg243
4 6
Vector (2)
Co linearity
Problem solving
By the end of the lesson, the learner should be able to:
show collinearity
solve problems on vectors
Learners show collinearity
Learners solve problems
Chalkboard illustrations
Past paper questions
Explore
Maths Bk3
Pg244
4 7
Vector (2)
Deriving the ratio theorem for internal division of a line
By the end of the lesson, the learner should be able to:
derive the ratio theorem for internal division of a line
Teacher/pupil discussion
Chalkboard illustrations
Explore
Maths Bk3
Pg. 258
5 1
Vector (2)
Deriving the ratio theorem for external division of a line
By the end of the lesson, the learner should be able to:
derive the ratio theorem for external division of a line
Teacher/pupil discussion
Chalkboard illustrations
Explore
Maths Bk3
Pg.267
5 2
Vector (2)
Application of the ratio theorem
By the end of the lesson, the learner should be able to:
apply ratio theorem to solve a vector problem
Learners use the ratio theorem
Chalkboard illustrations
Explore
Maths Bk3
Pg.268-269
5 3
Vector (2)
Application of vector to geometry
By the end of the lesson, the learner should be able to:
apply vector to geometry
Learners apply vector to geometry
Chalkboard illustrations
Explore
Maths Bk3
Pg.261-263
5 4
Compound Proportions And Rates Of Work
Proportional parts Ratio method
By the end of the lesson, the learner should be able to:
solve problems involving compound proportions using the ratio method
Teacher/pupil discussion
Calculators
Explore
Maths Bk3
Pg.126
131-132
5 5
Compound Proportions And Rates Of Work
Proportional parts Unitary method
Application of ratios to real life situation
By the end of the lesson, the learner should be able to:
solve problems involving compound proportions using the unitary method
apply ratios to real life situations
Teacher/pupil discussion
Learners apply ratios to real life situations
Calculators
Chalkboard illustrations
Explore
Maths Bk3
Pg.127
5 6
Compound Proportions And Rates Of Work
Application of proportion to real life situation
By the end of the lesson, the learner should be able to:
apply proportion to real life situation
Learners apply proportion to real life situation
Chalkboard illustrations
Explore
Maths Bk3
Pg.129
5 7
Compound Proportions And Rates Of Work
Rates of work
By the end of the lesson, the learner should be able to:
solve problems involving rates of work
Teacher/pupil discussion
Chalkboard illustrations
Explore
Maths Bk3
Pg.133
6 1
Compound Proportions And Rates Of Work
Mixtures
By the end of the lesson, the learner should be able to:
calculate the cost of the mixture given the ratio in which the mixture is mixed
Learners calculate cost of mixture
- Chalkboard illustrations
- calculators
Explore
Maths Bk3
Pg.135
6 2
Compound Proportions And Rates Of Work
Problem solving
By the end of the lesson, the learner should be able to:
solve problems on compound proportions and rates of work
Learners solve problems
Past paper questions
Explore
Maths Bk3
Pg.136-137
6 3
Graphical Methods
Tables from a given relation
By the end of the lesson, the learner should be able to:
make a table of values from given relations
Learners make tables of values
Relations
Explore
Maths Bk3
Pg.271
6 4
Graphical Methods
Drawing graphs
Cubic equations
By the end of the lesson, the learner should be able to:
use the table of values to draw graph of the relations
graph cubic equations
Learners draw graphs
Learners draw cubic graphs
Tables tabulated
Graph papers
Explore
Maths Bk3
Pg.272
6 5
Graphical Methods
Solution of cubic equations
By the end of the lesson, the learner should be able to:
state the graphical solutions of cubic equations
Learners read out the solutions from the graph
Cubic graphs
Explore
Maths Bk3
Pg.275
6 6
Graphical Methods
Average rate of change
By the end of the lesson, the learner should be able to:
determine the average rate of change
Teacher/pupil discussion
Chalkboard illustrations Graphs
Explore
Maths Bk3
Pg.278-279
6 7
Graphical Methods
Instantaneous rate of change
By the end of the lesson, the learner should be able to:
determine and interpret instantaneous rate of change from the graph
Teacher/pupil discussion
Graphs draws
Explore
Maths Bk3
Pg.280-283
7 1
Graphical Methods
Empirical graphs Rewriting the equation in the form of y=mx+c
By the end of the lesson, the learner should be able to:
rewrite equations given in the form of y=mx+c to give a straight line graph
Learners rewriting equations in the form y=mx+c
y=axn
y=U+b
x
Explore
Maths Bk3
Pg.287-290
7 2
Graphical Methods
Empirical graphs
By the end of the lesson, the learner should be able to:
draw and interpret empirical graphs
Learners draw empirical graphs
Graph papers
Explore
Maths Bk3
Pg.292
7 3
Graphical Methods
Lines of best fit
Equation of a circle centre (0,0)
By the end of the lesson, the learner should be able to:
draw the line of best fit
derive the equation of a circle centre (0,0) radius r units
Learners draw lines of best fit
Teacher/pupil discussion
Graph papers
Chalkboard illustrations
Explore
Maths Bk3
Pg.293-295
7 4
Graphical Methods
Equation of a circle centre (a,b) radius v units
By the end of the lesson, the learner should be able to:
derive the equation of a circle centre (a,b) radius r units
Teacher leads learners to derive (x-a)2+(y-b)2=r2
Chalkboard illustrations
Explore
Maths Bk3
Pg.298
7 5
Graphical Methods
Find the equation given centre and radius
By the end of the lesson, the learner should be able to:
find the equation of a circle given the centre and radius of a circle
Learners find equations
Chalkboard illustrations
Explore
Maths Bk3
Pg.299
7 6
Graphical Methods
Finding centre and radius given equation
By the end of the lesson, the learner should be able to:
find the centre and radius of a circle given its equation
Learners determine centre and radius
Chalkboard illustrations
Explore
Maths Bk3
Pg.299
7 7
Graphical Methods
Application to real life situation
By the end of the lesson, the learner should be able to:
apply graphical methods to real life situation and solve problems
Learners solve problems
Chalkboard illustrations
Explore
Maths Bk3
Pg.300
8 1
Graphical Methods
Problem solving
By the end of the lesson, the learner should be able to:
solve problems on graphical methods
Learners solve problems
Past paper questions
Explore
Past paper questions
8 2
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
- Patel Pg 7
- Malkiat Pg 1
8 3
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
- Patel
- Malkiat Pg 3
8 4
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
- Patel Pg 18
- Malkiat Pg 9
8 5
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
- Patel Pg 18
- Malkiat Pg 9
8 6
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
- Patel Pg 18
- Malkiat Pg 11
8 7
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
- Patel Pg 26
- Malkiat Pg 7
9 1
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
- Patel Pg 27
- Malkiat Pg 16
9 2
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
- Patel Pg 29
- Malkiat Pg 19
9 3
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
- Patel Pg 29
- Malkiat Pg 19
10

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