Length

Units of length
Conversion of 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
Convert the units of length

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

Tape measure
Rulers
Strings
Measuring instruments
Conversion charts for length
Real objects

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

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

Length
Geometric Constructions

Circumference
Construction of a perpendicular bisector of a line

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

Find the circumference of a circle

Use a pair of compasses and ruler only to construct a perpendicular bisector of a line

Discussions
Measuring length
Solving problems on circumference
Demonstrations

Discussions
Construction of a perpendicular bisector of a line
Drawing shapes

Circular objects
Tape measure
Rulers
Strings Conversion charts for length

Plane figures
Geometrical sets
Polygonal shapes
Ruler
Pair of compasses

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
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

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

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

Geometric Constructions

Reproducing and bisecting angles
Constructing angles

By the end of the lesson, the learner should be able to:
Reproduce and bisect an angle
Construct angles at 60 degrees

Discussions
Demonstrations
Illustrations
Drawing angles
Measuring angles
Bisecting angles
Constructing angles
Solving problems on construction of angles

Ruler
Pair of compass
Protractor
Real objects

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

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

Algebraic Expressions

Representing numbers by letters
Simplifying algebraic expressions

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

Use letters to represent numbers

Simplify algebraic expressions

Discussions
Doing exercises
Guessing
Demonstrations


Discussions
Doing exercises
Grouping items together
Adding objects
Multiplying and dividing

Counters
Groups of items

Counters
Groups of items
charts

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
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

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

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

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
Solving linear equations graphically
Illustrations
Drawing the axes of a Cartesian plane

Graph papers
protractor
Square boards
Creo boards
Grid boards
Typographical maps
Ruler

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

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

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

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

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
Angles of elevation & depression
Bearing

By the end of the lesson, the learner should be able to:
Read, interpret and indicate scale in linear statement ratio
Determine the angles of elevation and depression

State the bearing of a point from another point

Discussions
Solving problems
Drawing to scale
Writing scale
Interpreting scale
Determining scale
Doing exercises
Measuring angles/lengths
Discussions
Drawing to scale
Measuring angles/lengths
Solving problems involving bearings

Ruler
Tape measure
Figure drawn to scale
photographs
Ruler
Tape measure
Protractor
Set square
Plumb line

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
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

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
Distance between two points on the surface area of solid

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

Calculate the surface area of solid from nets

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

Discussions
Sketching
Making models
Drawing to scale
Discussions
Sketching
Making models
Drawing to scale
Measuring lengths/angles

Models of common solids
Actual solids
Sketches of cubes and cuboids
charts

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