SCHEME OF WORK
Mathematics
Form 1 2021
TERM II
School










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WK LSN TOPIC SUB-TOPIC OBJECTIVES L/ACTIVITIES L/T AIDS REFERENCE REMARKS
1 1
Squares And Square Roots
Squares of numbers greater than 10
Squares of numbers less than 1
By the end of the lesson, the learner should be able to:
Find the square of numbers greater than 10 from the mathematical table.
Find the squares of numbers less than 1 from mathematical tables
Discussion
Exercises
Reading mathematical tables
Illustrations
Discussions
Doing exercises
Solving puzzles
Mathematical tables
Multiplication tables
Calculators (Scientific)
KLB book 1 pages 75
Discovering secondary mathematics book 1 page 45
Advancing mathematics book 1 page 63
Secondary mathematics KIE book 1 page 97
Golden tips (KCSE) mathematics page 61
1 2
Squares And Square Roots
Finding square roots by factorization
By the end of the lesson, the learner should be able to:

Find square roots of numbers by factorization
Discussions
Factorizing numbers
Doing short tests
Demonstrations
Dividing numbers
Mathematical tables
Multiplication tables
Discovering secondary mathematics book 1 page 46-47
Secondary mathematics KLB book 1 pages 77
Advancing mathematics book 1 page 64-65
Secondary mathematics KIE book 1 page 99-101
Golden tips (KCSE) mathematics page 62
1 3
Squares And Square Roots
Square root tables
By the end of the lesson, the learner should be able to:

Read the square root table
Read square roots of numbers 1< A <10 from mathematical tables
Guiding the learner to read square roots from tables
Discussions
Doing exercises
Mathematical tables
Multiplication tables
Discovering secondary mathematics book 1 pages 47-48
KLB book 1 page 78
Advancing mathematics book 1 page 66
Secondary mathematics KIE book 1 page 102-103
1 4
Squares And Square Roots
Angles
Square roots of numbers less than one and greater than 100
Measuring and drawing angles
By the end of the lesson, the learner should be able to:
Get the Square roots of numbers less than one and greater than 100 form their mathematical tables
Measure and draw an angle using a protractor
Discussions
Mathematical table
Doing exercises
Demonstration
Measuring angles
Illustrations
Mathematical tables
Multiplication tables
Protractor
Ruler
Models of figures
Charts
Discovering secondary mathematics book 1 pages 48-49
KLB book 1 page 78
Advancing mathematics book 1 page 67-68
Secondary mathematics KIE book 1 page 102-103
1 5
Angles
Types of angles
By the end of the lesson, the learner should be able to:

Name and draw different types of angles
Discussions
Drawing angles
Measuring angles
Naming angles
Protractor
Ruler
Models of triangles, rectangles etc
Charts
Discovering secondary mathematics book 1 pages 51-52
Secondary mathematics KLB students book 1 page 197-198
Advancing mathematics book 1 page 175-177
Secondary mathematics KIE book 1 page 62-64
1 6
Angles
Angles on a straight line, vertically opposite angles and angles at a point
By the end of the lesson, the learner should be able to:

Identify and draw angles on a line vertically opposite angles and angles at a point
Discussions
Drawing angles
Doing exercises
Naming angles
Protractor
Ruler
Models of triangles, rectangles etc.
Discovering secondary mathematics book 1 pages 52-54
Secondary mathematics KLB students book 1 page 200-201
Advancing mathematics book 1 page 177-179
Secondary mathematics KIE book 1 page 66-67
2 1
Angles
Parallel lines corresponding alternate and interior angles
By the end of the lesson, the learner should be able to:

Identify and draw parallel lines, corresponding alternate and interior angles
Discussions
Drawing angles
Measuring angles
Identifying angles
Protractor
Ruler
Real objects
Discovering secondary mathematics book 1 pages 55-57
Secondary mathematics KLB students book 1 page 206-210
Advancing mathematics book 1 page 180-181
Secondary mathematics KIE book 1 page 70-72
2 2
Polygons
Triangles
By the end of the lesson, the learner should be able to:

Define a polygon and identify and draw different triangles.
Discussions
Drawing triangles
Measuring Angles
Measuring lengths
Definitions
Protractor
Ruler
Models of different triangles
Discovering secondary mathematics book 1 pages 58-61
Secondary mathematics KLB students book 1 page 211
Advancing mathematics book 1 page 182-183
Secondary mathematics KIE book 1 page 75-76
2 3
Polygons
Interior and exterior angles of a polygons
By the end of the lesson, the learner should be able to:

Identify and draw interior and exterior angles of a quadrilateral
Discussions
Drawing quadrilaterals
Measuring angles
Measuring lengths
Illustrations
Protractor
Ruler
Strings
Real Objects
Discovering secondary mathematics book 1 pages 63-66
Secondary mathematics KLB students book 1 page 212-213
Advancing mathematics book 1 page 182-183
Secondary mathematics KIE book 1 page 76-77
2 4
Polygons
Quadrilaterals
By the end of the lesson, the learner should be able to:

Identify and draw different quadrilaterals
Discussions
Drawing quadrilaterals
Measuring angles
Measuring lengths
Protractor
Ruler
Strings
Real Objects
Discovering secondary mathematics book 1 pages 60-63
Secondary mathematics KLB students book 1 page 219-220
Advancing mathematics book 1 page 185-186
Secondary KIE book 1 page 82-83
2 5
Length
Units of length
By the end of the lesson, the learner should be able to:

State the units of measuring length and express length to a given significant figure
Discussions
Definitions
Rounding off
Measuring lengths
Solving problems involving units of length
Tape measure
Rulers
Strings
Measuring instruments
Discovering secondary mathematics book 1 pages 67-68
Secondary mathematics KLB students book 1 page 110
Advancing mathematics book 1 page 100-101
Secondary mathematics KIE book 1 page 106
2 6
Length
Conversion of units of length
By the end of the lesson, the learner should be able to:

Convert the units of length
Discussions
Conversions of units of length
Measuring length in different units
Solving problems
Tape measure
Rulers
Strings
Conversion charts for length
Real objects
Discovering secondary mathematics book 1 pages 68-71
Secondary mathematics KLB students book 1 page 110-112
Advancing mathematics book 1 page 100-101
Secondary mathematics KIE book 1 page 107-108
3 1
Length
Perimeter of plain figures
By the end of the lesson, the learner should be able to:

Find the perimeter of a plain figure
Discussions
Measuring length
Solving problems
Tape measure
Rulers
Strings
Conversion charts for length
Real objects
Discovering secondary mathematics book 1 pages 71-73
Secondary mathematics KLB students book 1 page 113-116
Advancing mathematics book 1 page 103-104
Secondary mathematics KIE book 1 page 109-112
3 2
Length
Circumference
By the end of the lesson, the learner should be able to:

Find the circumference of a circle
Discussions
Measuring length
Solving problems on circumference
Demonstrations
Circular objects
Tape measure
Rulers
Strings Conversion charts for length
Discovering secondary mathematics book 1 pages 73-76
Secondary mathematics KLB students book 1 page 116-119
Advancing mathematics book 1 page 105-106
Secondary mathematics KIE book 1 page 116-118
3 3
Geometric Constructions
Construction of a perpendicular bisector of a line
By the end of the lesson, the learner should be able to:

Use a pair of compasses and ruler only to construct a perpendicular bisector of a line
Discussions
Construction of a perpendicular bisector of a line
Drawing shapes
Plane figures
Geometrical sets
Polygonal shapes
Ruler
Pair of compasses
Discovering secondary mathematics book 1 pages 77-78
Secondary mathematics KLB students book 1 page 227
Advancing mathematics book 1 page 197-198
Secondary KIE book 1 page 153
3 4
Geometric Constructions
Construction of parallel lines
By the end of the lesson, the learner should be able to:

Construct parallel lines using a ruler and a set square or at a given distance
Discussions
Constructions
Demonstrations
Measuring angles
Set squares
Ruler
Pair of compass
Discovering secondary mathematics book 1 pages 78-79
Secondary mathematics KLB students book 1 page 235
Advancing mathematics book 1 page 202
Secondary mathematics KIE book 1 page 154-155
3 5
Geometric Constructions
Dividing a line proportionally
By the end of the lesson, the learner should be able to:

Divide a line proportionally using a ruler and a set square
Discussions
Dividing lines proportionally
Drawing straight lines
Measuring angles and lengths
Set squares
Ruler
Pair of compass
Discovering secondary mathematics book 1 pages 79-80
Secondary mathematics KLB students book 1 page 236
Advancing mathematics book 1 page 203
Secondary mathematics KIE book 1 page 156
3 6
Geometric Constructions
Reproducing and bisecting angles
By the end of the lesson, the learner should be able to:

Reproduce and bisect an angle
Discussions
Demonstrations
Illustrations
Drawing angles
Ruler
Pair of compass
Discovering secondary mathematics book 1 page80
Secondary mathematics KLB students book 1 page 233
Advancing mathematics book 1 page 202
Secondary mathematics KIE book 1 page 149-150
4

Continuous Assessment Test

5 1
Geometric Constructions
Constructing angles
By the end of the lesson, the learner should be able to:

Construct angles at 60 degrees
Discussions
Measuring angles
Bisecting angles
Constructing angles
Solving problems on construction of angles
Ruler
Pair of compass
Protractor
Real objects
Discovering secondary mathematics book 1 page 80-82
Secondary mathematics KLB students book 1 page 233-234
Advancing mathematics book 1 page 201-202
Secondary mathematics KIE book 1 page 149-150-151
5 2
Geometric Constructions
Constructing polygons
By the end of the lesson, the learner should be able to:

Construct regular and irregular polygons
Discussions
Measuring angles and lengths
Bisecting angles
Constructing angles
Ruler
Pair of compass
Protractor
Real objects
Discovering secondary mathematics book 1 page 83-84
Secondary mathematics KLB students book 1 page 237-240
Advancing mathematics book 1 page 207-208
Secondary KIE book 1 page 158-159
5 3
Algebraic Expressions
Representing numbers by letters
By the end of the lesson, the learner should be able to:

Use letters to represent numbers
Discussions
Doing exercises
Guessing
Demonstrations

Counters
Groups of items
Discovering secondary mathematics book 1 page 85-86
Secondary mathematics KLB students book 1 page 80-81
Advancing mathematics book 1 page 73-74
Secondary mathematics KIE book 1 page 47-48
5 4
Algebraic Expressions
Simplifying algebraic expressions
By the end of the lesson, the learner should be able to:

Simplify algebraic expressions
Discussions
Doing exercises
Grouping items together
Adding objects
Multiplying and dividing


Counters
Groups of items
charts
Discovering secondary mathematics book 1 page 86-88
Secondary mathematics KLB students book 1 page 82-84
Advancing mathematics book 1 page 74-75
Secondary mathematics KIE book 1 page 49-51
5 5
Algebraic Expressions
Multiplying algebraic expressions
Dividing algebraic expressions
By the end of the lesson, the learner should be able to:
Multiply algebraic expressions
Divide algebraic expressions
Discussions
Simplification of algebraic expressions
Multiplying algebraic expressions
Grouping like items
Doing exercises
factorization
Grouping like items
Puzzles
games
Groups of unlike items
Groups of like items
Discovering secondary mathematics book 1 page 87
Secondary mathematics KLB students book 1 page 89
Advancing mathematics book 1 page 75
Secondary mathematics KIE book 1 page 49-51
5 6
Algebraic Expressions
Use of brackets in algebraic expressions
By the end of the lesson, the learner should be able to:

Use of brackets in algebraic expressions
Discussions
Adding
Subtracting
Demonstrations
Matching items
Dividing
Doing exercises
Groups of like items/objects
Discovering secondary mathematics book 1 page 88-89
Secondary mathematics KLB students book 1 page 85
Advancing mathematics book 1 page 77
Secondary KIE book 1 page 52-53
6

Mid term break

7 1
Algebraic Expressions
factorization in algebraic expressions
By the end of the lesson, the learner should be able to:

Use factorization in algebraic expressions
Discussions
Factorizing
puzzles
Adding
Substitutions
Doing exercises
Playing games
Groups of like items/objects
Discovering secondary mathematics book 1 page 88-91
Secondary mathematics KLB students book 1 page 90
Advancing mathematics book 1 page 81-83
Secondary mathematics KIE book 1 page 57-58
7 2
Algebraic Expressions
factorization in algebraic expressions
By the end of the lesson, the learner should be able to:

Use factorization in algebraic expressions
Discussions
Factorizing
puzzles
Adding
Substitutions
Doing exercises
Playing games
Groups of like items/objects
Discovering secondary mathematics book 1 page 88-91
Secondary mathematics KLB students book 1 page 90
Advancing mathematics book 1 page 81-83
Secondary mathematics KIE book 1 page 57-58
7 3
Algebraic Expressions
Substitution and factorization
By the end of the lesson, the learner should be able to:

Substitute and factorize algebraic expressions
Discussions
Dividing
multiplying
Adding
Subtracting
Solving puzzles
Substitutions
Doing exercises
Playing games
Groups of like items/objects
Discovering secondary mathematics book 1 page 91-94
Secondary mathematics KLB students book 1 page 91-92
Advancing mathematics book 1 page 80& 84
Secondary mathematics KIE book 1 page 59-62
7 4
Linear Equations
Solving equations
By the end of the lesson, the learner should be able to:

Solve linear equations in one unknown
Discussions
Demonstrations
Solving problems on linear equations
Puzzles
Beam balance
See ? saw
Games

Secondary mathematics KLB students book 1 page 160-162
Advancing mathematics book 1 page 134
Secondary mathematics KIE book 1 page 173-174
7 5
Linear Equations
Forming linear equations
By the end of the lesson, the learner should be able to:

Form linear equations
Discussions
Forming linear equations
Demonstrations
Doing exercises

Beam balance
Real life experience

Secondary mathematics KLB students book 1 page 163-168
Advancing mathematics book 1 page 139
Secondary mathematics KIE book 1 page 176-178
7 6
Linear Equations
Simultaneous equations and forming simultaneous equations
By the end of the lesson, the learner should be able to:

Solve simultaneous equations by substitution and elimination and form simultaneous equations
Discussions
Solving simultaneous equations by substitution and elimination
Forming simultaneous equations
Playing games
Beam balance
Real life experience

Secondary mathematics KLB students book 1 page 168-169
Advancing mathematics book 1 page 137-138
Secondary mathematics KIE book 1 page 178-180
8 1
Coordinates And Graphs
The Cartesian plane
By the end of the lesson, the learner should be able to:

Draw and label the Cartesian plane
Discussions
Labeling the Cartesian plane
Writing scale
Drawing the axes of the Cartesian plane
Reading points from the Cartesian plane
Graph papers
Square board
Cartesian plane
Typographical maps
Ruler
Discovering secondary mathematics Book 1 Pages 103-104
Secondary mathematics KLB book 1 pages 182-183
Secondary mathematics KIE book 1 page 223-224
Advancing in mathematics book 1 pages 161-162
8 2
Coordinates And Graphs
Plotting graphs and linear graphs
By the end of the lesson, the learner should be able to:

Plot points on a Cartesian plane
Read points on linear graphs on the Cartesian plane
Discussions
Labeling the Cartesian plane
Writing scale
Plotting points on the Cartesian plane
Reading points from the Cartesian plane
Drawing axes of a Cartesian plane
Graph papers
protractor
Square boards
Chalk boards
Grid boards
Typographical maps
Ruler
Discovering secondary mathematics Book 1 Pages 1014-108
Secondary mathematics KLB book 1 pages 185-186
Secondary mathematics KIE book 1 page 226
Advancing in mathematics book 1 pages 163-164
8 3
Coordinates And Graphs
Plotting linear graphs and linear equations of lines
By the end of the lesson, the learner should be able to:

Plot a linear graph
Work out the equation of a line
Discussions
Labeling the Cartesian plane
Writing scale
Plotting points on the Cartesian plane
Reading points from the Cartesian plane
Drawing axes of a Cartesian plane
Graph papers
protractor
Square boards
Creo boards
Grid boards
Typographical maps
Discovering secondary mathematics Book 1 Pages 108-111
Secondary mathematics KLB book 1 pages 185-186
Secondary mathematics KIE book 1 page 226
Advancing in mathematics book 1 pages 165-166
8 4
Coordinates And Graphs
Graphical solutions
By the end of the lesson, the learner should be able to:

Solve simultaneous linear equations graphically
Discussions
Writing scale
Labeling the Cartesian plane
Solving linear equations graphically
Illustrations
Drawing the axes of a Cartesian plane
Graph papers
protractor
Square boards
Typographical maps
Ruler
Grid boards
Discovering secondary mathematics Book 1 Pages 111-113
Secondary mathematics KLB book 1 pages 188-189
Secondary mathematics KIE book 1 page 229-232
Advancing in mathematics book 1 pages 167-170
8 5
Area
Area of combined and conversion of units of area
By the end of the lesson, the learner should be able to:

Define and work out area of combined rectangular shapes
Convert units of area fron one form to another
Drawing rectangular shapes
Working out the area of rectangles
Discussions
Solving problems on conversion of units of area
Regular flat surfaces
Square paper
Square boards
Rectangular objects
Discovering secondary mathematics Book 1 Pages 114-117
Secondary mathematics KLB book 1 pages 123-124
Secondary mathematics KIE book 1 page 109
Advancing in mathematics book 1 pages 109
8 6
Area
Area of a triangle and rectangle
By the end of the lesson, the learner should be able to:

Calculate the area of a triangle and rectangle
Discussions
Measuring length
Calculating the area of a triangle
Triangular flat surfaces
Square paper
Square boards
Triangular objects
Discovering secondary mathematics Book 1 Pages 117-118
Secondary mathematics KLB book 1 pages 124-125
Secondary mathematics KIE book 1 page 110
Advancing in mathematics book 1 pages 109-110
9 1
Area
Area of a parallelogram and trapezium
By the end of the lesson, the learner should be able to:

Calculate the area of a
Parallelogram
trapezium
Discussions
Measuring length
Calculating the area of a parallelogram
Calculating the area of a trapezium
Square board
Trapezoidal objects
Shapes with a shape of a parallelogram
Discovering secondary mathematics Book 1 Pages 118-121
Secondary mathematics KLB book 1 pages 125-126
Secondary mathematics KIE book 1 page 110-111
Advancing in mathematics book 1 pages 111-113
9 2
Area
Area of a parallelogram and trapezium
By the end of the lesson, the learner should be able to:

Calculate the area of a
Parallelogram
trapezium
Discussions
Measuring length
Calculating the area of a parallelogram
Calculating the area of a trapezium
Square board
Trapezoidal objects
Shapes with a shape of a parallelogram
Discovering secondary mathematics Book 1 Pages 118-121
Secondary mathematics KLB book 1 pages 125-126
Secondary mathematics KIE book 1 page 110-111
Advancing in mathematics book 1 pages 111-113
9 3
Area
Area of a circle
By the end of the lesson, the learner should be able to:

Calculate the area of a circle
Discussions
Demonstrations
Measuring the radius/diameter
Calculating the area of a circle
Circular shapes
Or objects
Square paper
Square board
Discovering secondary mathematics Book 1 Pages 121-123
Secondary mathematics KLB book 1 pages 129-132
Secondary mathematics KIE book 1 page 123-125
Advancing in mathematics book 1 pages 115
9 4
Area
Area of irregular plane
By the end of the lesson, the learner should be able to:

Work out the area of an irregular plane figure
Discussions
Demonstrations
Measuring length
Estimating area
Converting units of areas
Irregular objects/shapes
Square paper
Square board
Discovering secondary mathematics Book 1 Pages 123-124
Secondary mathematics KLB book 1 pages 111
Secondary mathematics KIE book 1 page 115-116
Advancing in mathematics book 1 pages 141-142
9 5
Area
Surface area of a cuboid
By the end of the lesson, the learner should be able to:

Work out the surface area of a cuboid
Discussions
Demonstrations
Measuring length
Estimating area
Converting units of areas
Regular flat shapes
Square paper
Square board
Model cubes and cuboids
Discovering secondary mathematics Book 1 Pages 124-125
Secondary mathematics KLB book 1 pages 135
Secondary mathematics KIE book 1 page 130
Advancing in mathematics book 1 pages 118
9 6
Area
Surface area of a prism
By the end of the lesson, the learner should be able to:

Work out the surface area of a prism
Discussions
Demonstrations
Measuring length
Estimating area
Converting units of areas
Regular cylinders and prisms
Square paper
Square board
Model of a prism
Discovering secondary mathematics Book 1 Pages 125-126
Secondary mathematics KLB book 1 pages 135-136
Secondary mathematics KIE book 1 page 131-132
Advancing in mathematics book 1 pages 118
10

End Term examination

11

End Term examinations


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