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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 2 |
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 |
|
| 1 | 3 |
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 |
|
| 1 | 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 |
|
| 1 | 5 |
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 |
|
| 1 | 6 |
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 |
|
| 2 | 1 |
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 |
|
| 2 | 2 |
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 |
|
| 2 | 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 |
|
| 2 | 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 |
|
| 2 | 5 |
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 |
|
| 2 | 6 |
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 |
|
| 3 | 1 |
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 |
|
| 3 | 2 |
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 |
|
| 3 | 3 |
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 |
|
| 3 | 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 |
|
| 3 | 5 |
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 |
|
| 3 | 6 |
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 |
|
| 4 | 1 |
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 |
|
| 4 | 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 |
|
| 4 | 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 |
|
| 4 | 4 |
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 |
|
| 4 | 5 |
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 |
|
| 4 | 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 |
|
| 5 | 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 |
|
| 5 | 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 |
|
| 5 | 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 |
|
| 5 | 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 |
|
| 5 | 5 |
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 |
|
| 5 | 6 |
Volume & Capacity
|
Units of volume
|
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 |
Discussions
Measuring length, width and height Measuring volume Calculating the volume of a cuboid |
Equipment for measuring 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 |
|
| 6 | 1 |
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 |
|
| 6 | 2 |
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 |
|
| 6 | 3 |
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 |
|
| 6 | 4 |
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 |
|
| 6 | 5 |
Time
|
The 12 hour and 24 hour clocks
|
By the end of the lesson, the learner should be able to:
State time in the 12 hour and 24 hour clocks |
Discussions
Timing, events Reading time Converting time |
Clock,
Watches Conversion tables Travel timetable for trains, busses, ships and aero planes |
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 |
|
| 6 | 6 |
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 |
|
| 7 | 1 |
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 |
|
| 7 | 2 |
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 |
|
| 7 | 3 |
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 |
|
| 7 | 4 |
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 |
|
| 7 | 5 |
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 |
|
| 7 | 6 |
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 |
|
| 8 |
End year examination |
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| 9 |
Marking, results processing and closing |
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