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
1 1
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
1 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
1 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
1 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
1 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
1 6
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
2 1
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
2 2
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
2 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
- Patel Pg 26
- Malkiat Pg 7
2 4
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
- Patel Pg 26
- Malkiat Pg 7
2 5
Matrices 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:


Determine the inverse of a
transformation

Practice exercise Ex 1.5
KLB BK 4

Calculators
- K.M, Advancing in
Math F4 Pg 14-15
- KLB Pg 24-26
- Patel Pg 26
- Malkiat Pg 13
2 6
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
3 1
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
3 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
3 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
3 4
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
3 5
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
- Patel Pg 47
- Malkiat Pg 42
3 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
- Patel Pg 47
- Malkiat Pg 42
4 1
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
- Patel Pg 51
- Malkiat Pg 36
4 2
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
- Patel Pg 51
- Malkiat Pg 36
4 3
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
- Patel Pg 51
- Malkiat Pg 36
4 4
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
- Patel Pg 51
- Malkiat Pg 36
4 5
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
- Patel Pg 55
- Malkiat Pg 44
4 5-6
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
- Patel Pg 55
- Malkiat Pg 44
5

Midterm break

6 1
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 Pg
- Patel Pg 48
- Malkiat Pg 44
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 Pg
- Patel Pg 48
- Malkiat Pg 44
6 3
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 Pg
- Patel Pg 48
- Malkiat Pg 44
6 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
- Patel Pg 48
- Malkiat Pg 62
6 5
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
- Patel Pg 48
- Malkiat Pg 62
6 6
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
- Patel Pg 48
- Malkiat Pg 62
7 1
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
- Patel Pg 48
- Malkiat Pg 62
7 2
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
- Patel Pg 48
- Malkiat Pg 62
7 3
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
- Patel Pg 64
- Malkiat Pg 48
7 4
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
- Patel Pg 64
- Malkiat Pg 48
7 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
- Patel Pg 64
- Malkiat Pg 48
7 6
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
- Patel Pg 91
- Malkiat Pg 89
8 1
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
- Patel Pg 122
- Malkiat Pg 136
8 2
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
- Patel Pg 122
- Malkiat Pg 136
8 3
Three Dimensional Geometry
Skew lines projection of a line onto a plane
By the end of the lesson, the learner should be able to:


Identify projection of a line onto a
Plane

Practice exercise
Advancing BK 4,
Ex. 5.1
KLB Pg 4, Ex. 5.2

3-D models
- K.M, Advancing in
Math F4 Pg 73
- KLB BK 4
Pg 118-119
- Patel Pg 125
- Malkiat Pg 139
8 4
Three Dimensional Geometry
Skew lines projection of a line onto a plane
By the end of the lesson, the learner should be able to:


Identify projection of a line onto a
Plane

Practice exercise
Advancing BK 4,
Ex. 5.1
KLB Pg 4, Ex. 5.2

3-D models
- K.M, Advancing in
Math F4 Pg 73
- KLB BK 4
Pg 118-119
- Patel Pg 125
- Malkiat Pg 139
8 5
Three Dimensional Geometry
Length of a line in 3D geometry
By the end of the lesson, the learner should be able to:


Calculate the length between two points
in 3D geometry

Practice exercise
Advancing BK 4,
Ex. 5.4

3-D models
- K.M, Advancing in
Math F4 Pg 78-80
- Patel Pg 126
- Malkiat Pg 145
8 6
Three Dimensional Geometry
Length of a line in 3D geometry
By the end of the lesson, the learner should be able to:


Calculate the length between two points
in 3D geometry

Practice exercise
Advancing BK 4,
Ex. 5.4

3-D models
- K.M, Advancing in
Math F4 Pg 78-80
- Patel Pg 126
- Malkiat Pg 145
9 1
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
- Patel Pg 129
- Malkiat Pg 140
9 2
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
- Patel Pg 129
- Malkiat Pg 140
9 3
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
- Patel Pg 129
- Malkiat Pg 140
9 4
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
- Patel Pg 131
- Malkiat Pg 140
9 5
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
- Patel Pg 128
- Malkiat Pg 148
9 6
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
- Patel Pg 128
- Malkiat Pg 148

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