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

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

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

Polygons
Length

Quadrilaterals
Units of length

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

Identify and draw different quadrilaterals

State the units of measuring length and express length to a given significant figure

Discussions
Drawing quadrilaterals
Measuring angles
Measuring lengths

Discussions
Definitions
Rounding off
Measuring lengths
Solving problems involving units of length

Protractor
Ruler
Strings
Real Objects

Tape measure
Rulers
Strings
Measuring instruments

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
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

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
Find the perimeter of a plain figure

Discussions
Conversions of units of length
Measuring length in different units
Solving problems
Measuring length

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

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

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

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

Linear Equations

Forming linear equations
Simultaneous equations and forming simultaneous equations

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

Form linear equations

Solve simultaneous equations by substitution and elimination and form simultaneous equations

Discussions
Forming linear equations
Demonstrations
Doing exercises


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 163-168
Advancing mathematics book 1 page 139
Secondary mathematics KIE book 1 page 176-178
Secondary mathematics KLB students book 1 page 168-169
Advancing mathematics book 1 page 137-138
Secondary mathematics KIE book 1 page 178-180

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

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 parallelogram and trapezium
Area of a circle

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

Calculate the area of a
Parallelogram
trapezium


Calculate the area of a circle

Discussions
Measuring length
Calculating the area of a parallelogram
Calculating the area of a trapezium
Discussions
Demonstrations
Measuring the radius/diameter
Calculating the area of a circle

Square board
Trapezoidal objects
Shapes with a shape of a parallelogram
Circular shapes
Or objects
Square paper
Square board

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
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

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 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
Volume & Capacity

Surface area of a cylinder
Units of volume

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

Work out the surface area of a cylinder

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

Discussions
Demonstrations
Measuring length
Estimating area
Converting units of areas
Doing exercises
Discussions
Measuring length, width and height
Measuring volume
Calculating the volume of a cuboid

Regular cylinders
Square paper
Square board
Model of a cylinder
Equipment for measuring volume

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
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

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

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
The 12 hour and 24 hour clocks

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

Convert the units of time from one form to another

State time in the 12 hour and 24 hour clocks

Discussions
Converting time, events
Calculating
Discussions
Timing, events
Reading time
Converting time

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

Time

Travel timetables

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

Read and interpret travel timetable
Solve problems involving travel timetable

Discussions
Solving problems
Reading the travel timetable
Travelling

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

Discovering secondary mathematics Book 1 Pages 141-143
Secondary mathematics KLB book 1 pages 156-157
Advancing in mathematics book 1 pages 131-132

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

Rate, Ratio, Percentages And Proportion
Commercial Arthimetric

percentages
Currency conversion

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

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

Discussions
Doing exercises
Discussions
Solving problems involving currency exchange rates
Giving change and balance

100 square grid
100 items
Counters
Actual currency exchange rate table
Actual currency
Newspaper/magazine

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
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

Profit and loss, Discount and commission

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

Discussions
Doing exercises
Illustrations
Demonstrations

Resource person
Real life
Retail shops

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

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

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 And Surveying

Bearing
Methods of surveying

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

State the bearing of a point from another point

Apply scale drawing in methods of surveying

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

Discussions
Drawing to scale
Measuring angles/lengths
Estimating area

Ruler
Tape measure
Protractor
Set square
Plumb line
Geometrical sets
Clinometers
Surveying equipment
Protractor
Ruler
Playfield
School compound

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
Discovering secondary mathematics Book 1 Pages 176-178
Secondary mathematics KLB book 1 pages 262-265
Secondary mathematics KIE book 1 page 199-202
Advancing in mathematics book 1 pages 213-216

Bearing And Surveying

Methods of surveying

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

Apply scale drawing in methods of surveying

Discussions
Drawing to scale
Measuring angles/lengths
Estimating area

Geometrical sets
Clinometers
Surveying equipment
Protractor
Ruler
Playfield
School compound

Discovering secondary mathematics Book 1 Pages 176-178
Secondary mathematics KLB book 1 pages 262-265
Secondary mathematics KIE book 1 page 199-202
Advancing in mathematics book 1 pages 213-216

Bearing And Surveying

Area of irregular shapes

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

Determine the area of irregular shapes using surveying techniques

Discussions
Measuring lengths/objects
Drawing scale
Estimating are

Geometrical sets
Clinometers
Surveying equipment
Protractor
Ruler
Playfield
School compound

Discovering secondary mathematics Book 1 Pages 178-181
Secondary mathematics KLB book 1 pages 267-268
Secondary mathematics KIE book 1 page 205-206
Advancing in mathematics book 1 pages 216-220

Common Solids

Regular solids

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

Identify and sketch common solids

Discussions
Counting sides faces and vertices
Sketching solids

Models of common solids
Actual solids

Discovering secondary mathematics Book 1 Pages 182-185
Secondary mathematics KLB book 1 pages 271-276
Secondary mathematics KIE book 1 page 248-254
Advancing in mathematics book 1 pages 222-227

Common Solids

Nets of solids

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

Sketch, draw nets of solids and make models of solids from the nets

Discussions
Sketching
Drawing to scale
Drawing accurately
Making models

Models of common solids
Examples of the common solids

Discovering secondary mathematics Book 1 Pages 186-188
Secondary mathematics KLB book 1 pages 277-283
Secondary mathematics KIE book 1 page 255-260
Advancing in mathematics book 1 pages 228-229

Common Solids

Surface area of solids

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

Calculate the surface area of solid from nets

Discussions
Sketching
Making models
Drawing to scale

Models of common solids
Actual solids

Discovering secondary mathematics Book 1 Pages 188-189
Secondary mathematics KLB book 1 pages 284-285
Secondary mathematics KIE book 1 page 264-265
Advancing in mathematics book 1 pages 230-231

Common Solids

Distance between two points on the surface area of solid

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

Determine the distance between two points on the surface of a solid

Discussions
Sketching
Making models
Drawing to scale
Measuring lengths/angles

Sketches of cubes and cuboids
charts

Discovering secondary mathematics Book 1 Pages 189-191
Secondary mathematics KLB book 1 pages 286-288
Advancing in mathematics book 1 pages 231-233