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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 3 | 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. |
Discussion
Exercises Reading mathematical tables Illustrations |
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 |
|
| 3 | 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 |
|
| 3 | 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 |
|
| 3 | 4 |
Squares And Square Roots
|
Square roots of numbers less than one and greater than 100
|
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 |
Discussions
Mathematical table Doing exercises |
Mathematical tables
Multiplication tables |
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 |
|
| 3 | 5 |
Angles
|
Measuring and drawing angles
|
By the end of the
lesson, the learner
should be able to:
Measure and draw an angle using a protractor |
Discussions
Demonstration Measuring angles Illustrations |
Protractor
Ruler Models of figures Charts |
Discovering secondary mathematics book 1 pages 50-52
KLB book 1 page 19757 Advancing mathematics book 1 page 173-175 Secondary mathematics KIE book 1 page 62 |
|
| 3 | 6 |
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 |
|
| 4 | 1 |
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 |
|
| 4 | 2 |
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 |
|
| 4 | 3 |
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 |
|
| 4 | 4 |
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 |
|
| 4 | 5 |
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 |
|
| 4 | 6 |
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 |
|
| 5 | 1 |
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 |
|
| 5 | 2 |
Length
|
Conversion of units of length
Perimeter of plain figures |
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 |
|
| 5 | 3 |
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 |
|
| 5 | 4 |
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 |
|
| 5 | 5 |
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 |
|
| 5 | 6 |
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 |
|
| 6 | 1 |
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 |
|
| 6 | 2 |
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 |
|
| 6 | 3 |
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 |
|
| 6 | 4 |
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 |
|
| 6 | 5 |
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 |
|
| 6 | 6 |
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 |
|
| 7 | 1 |
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 |
|
| 7 | 2 |
Algebraic Expressions
|
Multiplying algebraic expressions
|
By the end of the
lesson, the learner
should be able to:
Multiply algebraic expressions |
Discussions
Simplification of algebraic expressions Multiplying algebraic expressions Grouping like items Doing exercises |
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 |
|
| 7 | 3 |
Algebraic Expressions
|
Dividing algebraic expressions
|
By the end of the
lesson, the learner
should be able to:
Divide algebraic expressions |
Discussions
factorization Grouping like items Doing exercises Puzzles games |
Groups of like items
|
Discovering secondary mathematics book 1 page 87-88
Secondary mathematics KLB students book 1 page 89 Advancing mathematics book 1 page 76 Secondary mathematics KIE book 1 page 49-51 |
|
| 7 | 4 |
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 |
|
| 7 | 5 |
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 | 6 |
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 |
|
| 8 |
Midterm break |
|||||||
| 9 | 1 |
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 |
|
| 9 | 2 |
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 |
|
| 9 | 3 |
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 |
|
| 9 | 4 |
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 |
|
| 9 | 5 |
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 |
|
| 9 | 6 |
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 |
|
| 10 | 1 |
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 |
|
| 10 | 2 |
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 |
|
| 10 | 3 |
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 |
|
| 10 | 4 |
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 |
|
| 10 | 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 |
|
| 10 | 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 |
|
| 11 | 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 |
|
| 11 | 2 |
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 |
|
| 11 | 3 |
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 |
|
| 11 | 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 |
|
| 11 | 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 |
|
| 11 | 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 |
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