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

Algebraic Expressions

Simplifying algebraic expressions
Multiplying algebraic expressions

By the end of the lesson, the learner should be able to:

Simplify algebraic expressions

Multiply algebraic expressions

Discussions
Doing exercises
Grouping items together
Adding objects
Multiplying and dividing



Discussions
Simplification of algebraic expressions
Multiplying algebraic expressions
Grouping like items
Doing exercises

Counters
Groups of items
charts

Groups of unlike items
Groups of like items

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
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

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

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

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

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

Linear Equations

Solving equations
Forming linear equations

By the end of the lesson, the learner should be able to:

Solve linear equations in one unknown

Form linear equations

Discussions
Demonstrations
Solving problems on linear equations
Puzzles

Discussions
Forming linear equations
Demonstrations
Doing exercises

Beam balance
See ? saw
Games


Beam balance
Real life experience

Secondary mathematics KLB students book 1 page 160-162
Advancing mathematics book 1 page 134
Secondary mathematics KIE book 1 page 173-174
Secondary mathematics KLB students book 1 page 163-168
Advancing mathematics book 1 page 139
Secondary mathematics KIE book 1 page 176-178

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

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

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

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

Coordinates And Graphs

Plotting linear graphs and linear equations of lines
Graphical solutions

By the end of the lesson, the learner should be able to:

Plot a linear graph
Work out the equation of a line


Solve simultaneous linear equations graphically

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
Discussions
Writing scale
Labeling the Cartesian plane
Solving linear equations graphically
Illustrations
Drawing the axes of a Cartesian plane

Graph papers
protractor
Square boards
Creo boards
Grid boards
Typographical maps

Graph papers
protractor
Square boards
Typographical maps
Ruler
Grid boards

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
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

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

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

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

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

Area

Area of a circle
Area of irregular plane

By the end of the lesson, the learner should be able to:

Calculate the area of a circle


Work out the area of an irregular plane figure

Discussions
Demonstrations
Measuring the radius/diameter
Calculating the area of a circle
Discussions
Demonstrations
Measuring length
Estimating area
Converting units of areas

Circular shapes
Or objects
Square paper
Square board
Irregular objects/shapes
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
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

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

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

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

Area

Surface area of a cylinder

By the end of the lesson, the learner should be able to:

Work out the surface area of a cylinder

Discussions
Demonstrations
Measuring length
Estimating area
Converting units of areas
Doing exercises

Regular cylinders
Square paper
Square board
Model of a cylinder

Discovering secondary mathematics Book 1 Pages 126-128
Secondary mathematics KLB book 1 pages 137-138
Secondary mathematics KIE book 1 page 131-132
Advancing in mathematics book 1 pages 118

Volume & Capacity

Units of volume
Volume of cuboids and cylinders

By the end of the lesson, the learner should be able to:

State the units of volume in cubic units and convert one from another


Calculate the volume of cuboids and cylinders

Discussions
Measuring length, width and height
Measuring volume
Calculating the volume of a cuboid
Discussions
Demonstrations
Measuring lengths
Calculating volume

Equipment for measuring volume
Cubes, cuboids and cylinders
Models of cubes cuboids and cylinders
Measuring instruments for volume

Discovering secondary mathematics Book 1 Pages 129
Secondary mathematics KLB book 1 pages 143
Secondary mathematics KIE book 1 page 131-136
Advancing in mathematics book 1 pages 121
Discovering secondary mathematics Book 1 Pages 130-131
Secondary mathematics KLB book 1 pages 143-145
Secondary mathematics KIE book 1 page 136-138
Advancing in mathematics book 1 pages 121

Volume & Capacity

Volume of cuboids and cylinders

By the end of the lesson, the learner should be able to:

Calculate the volume of cuboids and cylinders

Discussions
Demonstrations
Measuring lengths
Calculating volume

Cubes, cuboids and cylinders
Models of cubes cuboids and cylinders
Measuring instruments for volume

Discovering secondary mathematics Book 1 Pages 130-131
Secondary mathematics KLB book 1 pages 143-145
Secondary mathematics KIE book 1 page 136-138
Advancing in mathematics book 1 pages 121

Volume & Capacity

Capacity

By the end of the lesson, the learner should be able to:

Show the relationship between volume and capacity and solve problems involving volume and capacity

Discussions
Demonstrations
Measuring capacity
Calculating capacity
Converting capacity to volume and vise versa

Measuring instruments for capacity

Discovering secondary mathematics Book 1 Pages 131-133
Secondary mathematics KLB book 1 pages 146
Secondary mathematics KIE book 1 page 136-138
Advancing in mathematics book 1 pages 123-124

Mass, Weight And Density

Units of mass, weight and density

By the end of the lesson, the learner should be able to:

Define mass, weight and density
State their units and relate mass weight and density

Discussions
Measuring
Calculating
Converting

Masses
Measuring cylinders
Weights
Spring balance
Beam balance
lactometer

Discovering secondary mathematics Book 1 Pages 134-135
Secondary mathematics KLB book 1 pages 149-151
Secondary mathematics KIE book 1 page 140-141
Advancing in mathematics book 1 pages 126-127

Time

Converting units of time

By the end of the lesson, the learner should be able to:

Convert the units of time from one form to another

Discussions
Converting time, events
Calculating

Clock,
Watches
Conversion tables
Travel timetable for trains, busses, ships and aero planes

Discovering secondary mathematics Book 1 Pages 136-137
Secondary mathematics KLB book 1 pages 153-154
Secondary mathematics KIE book 1 page 142
Advancing in mathematics book 1 pages 129

Time
Rate, Ratio, Percentages And Proportion

The 12 hour and 24 hour clocks
Travel timetables
Rates and ratio

By the end of the lesson, the learner should be able to:
State time in the 12 hour and 24 hour clocks
Read and interpret travel timetable
Solve problems involving travel timetable

Define rate and ratio
Solve problems involving rates
Use ratio to compare increase and decrease quantities

Discussions
Timing, events
Reading time
Converting time
Solving problems
Reading the travel timetable
Travelling
Discussions
Solving problems
Sharing things equally
Doing exercises
Sharing quantities in given ratio

Clock,
Watches
Conversion tables
Travel timetable for trains, busses, ships and aero planes
Travel timetable for trains, busses, ships and aero planes
Real life experience
Currency
Counters

Discovering secondary mathematics Book 1 Pages 138-141
Secondary mathematics KLB book 1 pages 154-155
Secondary mathematics KIE book 1 page 129-130
Advancing in mathematics book 1 pages 142
Discovering secondary mathematics Book 1 Pages 144-151
Secondary mathematics KLB book 1 pages 96-98
Secondary mathematics KIE book 1 page 162-164
Advancing in mathematics book 1 pages 86-88

Rate, Ratio, Percentages And Proportion

Rates and ratio

By the end of the lesson, the learner should be able to:

Define rate and ratio
Solve problems involving rates
Use ratio to compare increase and decrease quantities

Discussions
Solving problems
Sharing things equally
Doing exercises
Sharing quantities in given ratio

Real life experience
Currency
Counters

Discovering secondary mathematics Book 1 Pages 144-151
Secondary mathematics KLB book 1 pages 96-98
Secondary mathematics KIE book 1 page 162-164
Advancing in mathematics book 1 pages 86-88

Rate, Ratio, Percentages And Proportion

Proportion

By the end of the lesson, the learner should be able to:

Change quantities in a given ratio and proportion

Discussions
Doing exercises
Sharing out quantities in a given ratio

Currency
Counters
Real life experience

Discovering secondary mathematics Book 1 Pages 151-153
Secondary mathematics KLB book 1 pages 97-102
Secondary mathematics KIE book 1 page 165-166
Advancing in mathematics book 1 pages 88-93

Rate, Ratio, Percentages And Proportion

percentages

By the end of the lesson, the learner should be able to:

Convert fractions and decimals to percentages
Calculate the percentage change in a quantity

Discussions
Doing exercises

100 square grid
100 items
Counters

Discovering secondary mathematics Book 1 Pages 153-157
Secondary mathematics KLB book 1 pages 105-106
Secondary mathematics KIE book 1 page 169-170
Advancing in mathematics book 1 pages 94-97

Commercial Arthimetric

Currency conversion

By the end of the lesson, the learner should be able to:

? Education Plus Agencies
State the currencies of different countries and convert currency from one form to another

Discussions
Solving problems involving currency exchange rates
Giving change and balance

Actual currency exchange rate table
Actual currency
Newspaper/magazine

Discovering secondary mathematics Book 1 Pages 158-162
Secondary mathematics KLB book 1 pages 171-173
Secondary mathematics KIE book 1 page 208-213
Advancing in mathematics book 1 pages 149-152

Commercial Arthimetric
Scale Drawing And Angles Of Elevation And Depression

Profit and loss, Discount and commission
Indicating scale

By the end of the lesson, the learner should be able to:



Read, interpret and indicate scale in linear statement ratio

Discussions
Doing exercises
Illustrations
Demonstrations
Discussions
Solving problems
Drawing to scale
Writing scale
Interpreting scale
Determining scale

Resource person
Real life
Retail shops
Ruler
Tape measure
Figure drawn to scale
photographs

Discovering secondary mathematics Book 1 Pages 162-165
Secondary mathematics KLB book 1 pages 175-178
Secondary mathematics KIE book 1 page 216-218
Advancing in mathematics book 1 pages 153-155
Discovering secondary mathematics Book 1 Pages 116-168
Secondary mathematics KLB book 1 pages 248-250
Secondary mathematics KIE book 1 page 185
Advancing in mathematics book 1 pages 209-210

Scale Drawing And Angles Of Elevation And Depression

Indicating scale

By the end of the lesson, the learner should be able to:

Read, interpret and indicate scale in linear statement ratio

Discussions
Solving problems
Drawing to scale
Writing scale
Interpreting scale
Determining scale

Ruler
Tape measure
Figure drawn to scale
photographs

Discovering secondary mathematics Book 1 Pages 116-168
Secondary mathematics KLB book 1 pages 248-250
Secondary mathematics KIE book 1 page 185
Advancing in mathematics book 1 pages 209-210

Scale Drawing And Angles Of Elevation And Depression

Angles of elevation & depression

By the end of the lesson, the learner should be able to:

Determine the angles of elevation and depression

Discussions
Drawing to scale
Doing exercises
Solving problems
Measuring angles/lengths

Ruler
Tape measure
Figure drawn to scale
photographs

Discovering secondary mathematics Book 1 Pages 168-172
Secondary mathematics KLB book 1 pages 256-260
Secondary mathematics KIE book 1 page 187-192
Advancing in mathematics book 1 pages 211

Scale Drawing And Angles Of Elevation And Depression

Bearing

By the end of the lesson, the learner should be able to:

State the bearing of a point from another point

Discussions
Drawing to scale
Measuring angles/lengths
Solving problems involving bearings

Ruler
Tape measure
Protractor
Set square
Plumb line

Discovering secondary mathematics Book 1 Pages 173-175
Secondary mathematics KLB book 1 pages 251-252
Secondary mathematics KIE book 1 page 193-195
Advancing in mathematics book 1 pages 211-213