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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 1 |
Natural Numbers
|
Place Value of Numbers
Round off Numbers |
By the end of the
lesson, the learner
should be able to:
Identify, read and write natural numbers in symbols and words Identify the place value of a number |
Discussions
Solving problems in groups and individually Illustrations |
Charts showing place value of a number
The Abacus Bank cheques and statements Charts to show the rounding off of numbers Number line Scales on a ruler, thermometer, vernier calipers |
Discovering secondary mathematics Book 1 Pages 1-3
Secondary mathematics KLB book 1 pages 1-2 Advantages in mathematics book 1 pages 1-2 |
|
| 1 | 2 |
Natural Numbers
Factors Factors |
Classification and operation on natural numbers
Factors of composite numbers Prime Factors |
By the end of the
lesson, the learner
should be able to:
Classify numbers as odd, even and prime Solve word problems involving natural numbers |
Discussions
Solving problems involving even, odd and prime numbers Carrying out operations on natural numbers Classification Guiding |
Charts to show the natural numbers
Number line Place value charts Abacus Charts to show the factorization of numbers Factor ? tree diagram Multiplication tables |
Discovering secondary mathematics book 1 pages 4-8
Secondary mathematics KLB book 1 pages 4-9 Advancing mathematics book 1 pages 4-5 Secondary mathematics KIE book 1 pages 9-11 |
|
| 1 | 3 |
Factors
|
Factors in power form
|
By the end of the
lesson, the learner
should be able to:
Express factors in power form |
Solving problems involving factors expressed in power form
Discussion Guiding the learner to express prime factors in power |
Charts to show the factorization of numbers
Multiplication table |
Discovering secondary mathematics book 1 page 10
KLB book 1 pages 10- 11 Advancing mathematics book 1 page 9 Secondary mathematics KIE book 1 page 12 |
|
| 1 | 4 |
Divisibility Test
|
Divisibility of numbers by 2, 3, 4, 5
Divisibility of numbers by 6, 8, 9 |
By the end of the
lesson, the learner
should be able to:
Test the divisibility of numbers by 2, 3, 4, 5 |
Discussions
Solving problems involving divisibility of numbers by 2, 3, 4,5 Dividing numbers Listing the prime factors of numbers Illustrations |
Divisibility test charts
Multiplication table Prime numbers Multiples of numbers Factors of numbers |
Discovering secondary mathematics book 1 page 10
KLB book 1 pages 11-15 Advancing mathematics book 1 page 10-11 Secondary mathematics KIE book 1 page 14 |
|
| 1 | 5 |
Divisibility Test
Greatest Common Divisor (Gcd) Least Common Multiple (Lcm) |
Divisibility of numbers 10 and 11
GCD of a set of numbers Multiples of numbers |
By the end of the
lesson, the learner
should be able to:
Carry out the divisibility test of 10 and 11 |
Dividing numbers
Discussions Solving problems |
Divisibility test charts
Multiplication table Multiples of numbers Factors of numbers Prime numbers Charts to show how to get GCD Multiplication tables Containers of different capacities Prime numbers Natural numbers Even numbers Odd numbers Flickering light |
Discovering secondary mathematics book 1 page 10
KLB book 1 pages 19 - 21 Advancing mathematics book 1 page 12 Secondary mathematics KIE book 1 page 14 |
|
| 1 | 6 |
Least Common Multiple (Lcm)
|
LCM of a set of numbers
|
By the end of the
lesson, the learner
should be able to:
Find the least common multiple of a set of numbers Apply the knowledge of LCM in real ? life situations |
Discussions
Working out the multiples of numbers Illustrating and solving problems involving multiples of numbers Solving word problems from everyday life situations |
Multiplication tables
Natural numbers Prime numbers Multiples of numbers Even numbers Odd numbers Bells Flickering lights Alarms Containers of different capacities |
Discovering secondary mathematics book 1 page 11
KLB book 1 pages 25 - 26 Advancing mathematics book 1 page 15 Secondary mathematics KIE book 1 page 15 |
|
| 1 | 7 |
Integers
|
Integers
Operations of integers |
By the end of the
lesson, the learner
should be able to:
Define integers Identify integers on a number line |
Discussions
Reading numbers on a number line Showing numbers on a number line Solving problems involving integers and the number line Definition |
Number line
Stairways Natural numbers Whole Numbers Charts showing integers Stair case Ladder Thermometer Real life situations |
Discovering secondary mathematics book 1 page 14
KLB book 1 pages 27- 29 Advancing mathematics book 1 page 18 Secondary mathematics KIE book 1 page 1-3 |
|
| 2 | 1 |
Integers
Fractions |
Combined operations
The meaning of fractions |
By the end of the
lesson, the learner
should be able to:
? Education Plus Agencies Work out problems involving combined operations on integers in the correct order |
Discussions
Demonstrations Guiding the learner to perform operations on integers on correct order Solving problems involving combined operations on integers |
Number line
Stair case Ladder Thermometer Charts Illustrating operations on fractions |
Discovering secondary mathematics book 1 page 20-22
Secondary mathematics KLB book 1 pages 37-39 Advancing mathematics book 1 page 30-33 Secondary mathematics KIE book 1 page 9-11 Discovering secondary mathematics teachers book 1 pages 6-7 |
|
| 2 | 2 |
Fractions
|
Equivalent fractions
Naming fractions |
By the end of the
lesson, the learner
should be able to:
Identify and write equivalent fractions |
Discussions
Dividing equally Measuring Weighing Solving problems |
Sticks
Pieces of paper Ruler Real life - situation Counters such as seeds, bottle tops, stones |
Discovering secondary mathematics book 1 page 24
teachers book pages 8-11 KLB book 1 pages 42-44 Advancing mathematics book 1 pages 37-38 Secondary mathematics KIE book 1 page 19-20 |
|
| 2 | 3 |
Fractions
|
Adding and subtracting fractions
|
By the end of the
lesson, the learner
should be able to:
Add and subtract fractions |
Showing
Discussions Adding Subtracting Converting Fractions |
Oranges
Sticks Pieces of paper Counters |
Discovering secondary mathematics book 1 pages 25-26
KLB book 1 page 45-48 Advancing mathematics book 1 page 41 Secondary mathematics KIE book 1 page 21-22 |
|
| 2 | 4 |
Fractions
|
Multiplication and division of fractions
Order of operations |
By the end of the
lesson, the learner
should be able to:
Perform multiplication and division of fractions |
Discussions
Multiplication Division Converting fractions Showing the learner how to manipulate fractions |
Sticks
Stones Seeds Pieces of paper Multiplication tables Conversion tables Real objects |
Discovering secondary mathematics book 1 pages 27-29
Discovering secondary mathematics teachers guide pages 8-11 KLB book 1 page 49-54 Advancing mathematics book 1 page 42-45 Secondary mathematics KIE book 1 page 23-26 |
|
| 2 | 5 |
Fractions
Decimals |
Application of fractions in a real life situation
Fractions and decimals |
By the end of the
lesson, the learner
should be able to:
Solve world problems involving fractions in real life situations |
Discussions
Solving problems involving fractions in real life situation |
Multiplication tables
Conversion tables Real objects Counters Equivalent fractions Real life situations |
Discovering secondary mathematics book 1 pages 30-31
Discovering secondary mathematics teachers guide pages 8-11 Secondary mathematics KLB students book 1 page 57 Advancing mathematics book 1 page 47 Secondary mathematics KIE book 1 page 31 |
|
| 2 | 6 |
Decimals
|
Recurring decimals
|
By the end of the
lesson, the learner
should be able to:
Identify and write recurring decimals |
Discussions on recurring decimals
Doing exercises Dividing Multiplying Demonstrations Explanation |
Equivalent fractions
Multiplication tables Real ? life situation |
Discovering secondary mathematics book 1 page 34
KLB book 1 pages 61-62 Secondary mathematics KIE book 1 page 43-44 Advancing in mathematics book 1 pages 59 Discovering secondary mathematics teachers guide pages 12-15 |
|
| 2 | 7 |
Decimals
|
Recurring decimals and fractions
Rounding off decimals Standard form |
By the end of the
lesson, the learner
should be able to:
Identify recurring decimals Convert recurring decimals into fractions |
Guiding learner to identify recurring decimals
Discussion on recurring decimals Doing exercises Conversion illustrations |
Equivalent fractions
Percentages Multiplication tables Place value charts Ruler Tape measure Objects measuring instruments |
Discovering secondary mathematics book 1 pages 35
Discovering secondary mathematics teachers guide pages 25-30 Secondary mathematics KLB book 1 pages 4-9 Advancing mathematics book 1 pages 59 Secondary mathematics KIE book 1 pages 44 |
|
| 3 | 1 |
Decimals
|
Addition and subtraction of decimals
Multiplication and division Combined operation on decimals |
By the end of the
lesson, the learner
should be able to:
Add decimals Subtract decimals |
Discussions
Demonstrations Explanations Adding Subtracting |
Place value charts
Measuring instruments such as tape measure, ruler, meter rule Regular shaped objects Mathematical table Multiplication table Place value chart Measuring instruments Multiplication tables Mathematical tables Tape measure Metre rule Ruler Strings |
Discovering secondary mathematics book 1 page 37-38
KLB book 1 pages 63 Advancing mathematics book 1 page 49 Secondary mathematics KIE book 1 page 36-37 KLB teachers book 25-30 |
|
| 3 | 2 |
Squares And Square Roots
|
Squares of numbers
Squares of numbers greater than 1 and less than 10 |
By the end of the
lesson, the learner
should be able to:
Define the term square Find squares of numbers by multiplication and factorization |
Discussions
Multiplication Memorizing Doing short test Solving puzzles |
Multiplication tables
Mathematical tables Calculators (scientific) |
Discovering secondary mathematics book 1 page 44-46
KLB book 1 pages 73 Advancing mathematics book 1 page 61-62 Secondary mathematics KIE book 1 page 96-97 mathematics page 60 |
|
| 3 | 3 |
Squares And Square Roots
|
Squares of numbers greater than 10
Squares of numbers less than 1 Finding square roots by factorization |
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 | 4 |
Squares And Square Roots
|
Square root tables
Square roots of numbers less than one and greater than 100 |
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 | 5 |
Angles
|
Measuring and drawing angles
Types of 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 Models of triangles, rectangles etc |
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
|
Angles on a straight line, vertically opposite angles and angles at a point
Parallel lines corresponding alternate and interior angles |
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. Real objects |
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 |
|
| 3 | 7 |
Polygons
|
Triangles
Interior and exterior angles of a polygons |
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 Strings Real Objects |
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 | 1 |
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 |
|
| 4 | 2 |
Length
|
Units of length
Conversion of units of length Perimeter of plain figures |
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 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 |
|
| 4 | 3 |
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 |
Discussions
Measuring length Solving problems on circumference Demonstrations |
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 |
|
| 4 | 4 |
Geometric Constructions
|
Construction of parallel lines
Dividing a line proportionally |
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 |
|
| 4 | 5 |
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 |
|
| 4 | 6 |
Geometric Constructions
|
Constructing angles
Constructing polygons |
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 |
|
| 4 | 7 |
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 |
Discussions
Doing exercises Guessing Demonstrations |
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 |
|
| 5 | 1 |
Algebraic Expressions
|
Multiplying algebraic expressions
Dividing 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 |
|
| 5 | 2 |
Algebraic Expressions
|
Use of brackets in algebraic expressions
factorization 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 |
|
| 5 | 3 |
Algebraic Expressions
Linear Equations |
Substitution and factorization
Solving equations |
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
Beam balance See ? saw Games |
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 |
|
| 5 | 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 |
|
| 5 | 5 |
Linear Equations
Coordinates And Graphs |
Simultaneous equations and forming simultaneous equations
The Cartesian plane |
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 Graph papers Square board Cartesian plane Typographical maps Ruler |
Secondary mathematics KLB students book 1 page 168-169
Advancing mathematics book 1 page 137-138 Secondary mathematics KIE book 1 page 178-180 |
|
| 5 | 6 |
Coordinates And Graphs
|
Plotting graphs and linear graphs
Plotting linear graphs and linear equations of lines |
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 Creo boards |
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 | 7 |
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 |
|
| 6 | 1 |
Area
|
Area of combined and conversion of units of area
Area of a triangle and rectangle |
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 Triangular flat surfaces Square paper Triangular 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 |
|
| 6 | 2 |
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 |
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 Circular shapes Or objects Square paper |
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 |
|
| 6 | 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 |
|
| 6 | 4 |
Area
|
Surface area of a cuboid
Surface area of a prism |
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 Regular cylinders and prisms Model of a prism |
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 |
|
| 6 | 5 |
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 |
Discussions
Demonstrations Measuring length Estimating area Converting units of areas Doing exercises |
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 |
|
| 6 | 6 |
Volume & Capacity
|
Volume of cuboids and cylinders
Capacity |
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 Measuring instruments for capacity |
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 | 7 |
Mass, Weight And Density
Time |
Units of mass, weight and density
Converting units of time |
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 Clock, Watches Conversion tables Travel timetable for trains, busses, ships and aero planes |
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 |
|
| 7 | 1 |
Time
|
The 12 hour and 24 hour clocks
Travel timetables |
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 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 |
|
| 7 | 2 |
Rate, Ratio, Percentages And Proportion
|
Rates and ratio
Proportion |
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 | 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 |
Commercial Arthimetric
|
Currency conversion
Profit and loss, Discount and commission |
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 Resource person Real life Retail shops |
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 | 5 |
Scale Drawing And Angles Of Elevation And Depression
|
Indicating scale
Angles of elevation & depression |
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 |
|
| 7 | 6 |
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 |
|
| 7 | 7 |
Bearing And Surveying
|
Methods of surveying
Area of irregular shapes |
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 |
|
| 8 | 1 |
Common Solids
|
Regular solids
Nets of 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 Examples of the common 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 |
|
| 8 | 2 |
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 |
|
| 8 | 3 |
Common Solids
Cube and cube roots Cube and cube roots Cube and cube roots |
Distance between two points on the surface area of solid
Cubes Use of tables to find cubes Cube roots using factor method |
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 Sets Books Videos Apparatus |
Discovering secondary mathematics Book 1 Pages 189-191
Secondary mathematics KLB book 1 pages 286-288 Advancing in mathematics book 1 pages 231-233 |
|
| 8 | 4 |
Reciprocals
Indices and Logarithms |
Reciprocal of numbers by division
Reciprocal of number from tables Indices |
By the end of the
lesson, the learner
should be able to:
Find the reciprocal of number by division |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 5 discovering secondary pg 7 |
|
| 8 | 5 |
Indices and Logarithms
|
Negative indices
Fractional indices Logarithms |
By the end of the
lesson, the learner
should be able to:
Find the negative indices |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 8-9 discovering secondary pg 11 |
|
| 8 | 6 |
Indices and Logarithms
|
Standard form
Powers of 10 and common logarithms Logarithms of positive numbers less than 1 Antilogarithms |
By the end of the
lesson, the learner
should be able to:
Write standard form of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 15 discovering secondary pg 13 |
|
| 8 | 7 |
Indices and Logarithms
|
Applications of logarithms
Roots Roots |
By the end of the
lesson, the learner
should be able to:
Use multiplication and division law of indices to find logarithms |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 20-22 discovering secondary pg 18 |
|
| 9 | 1 |
Gradient and equations of straight lines
|
Gradient
Equation of a line Linear equation y=mx+c |
By the end of the
lesson, the learner
should be able to:
Find gradient of straight line |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 27-29 discovering secondary pg23 |
|
| 9 | 2 |
Gradient and equations of straight lines
|
The y-intercept
The graph of a straight line Perpendicular lines |
By the end of the
lesson, the learner
should be able to:
Find the y-intercept |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 36-37 Discovering secondary pg 27 |
|
| 9 | 3 |
Gradient and equations of straight lines
Reflection and congruence Reflection and congruence |
Parallel lines
Symmetry Reflection |
By the end of the
lesson, the learner
should be able to:
Determine the equation of parallel lines |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 43-44 discovering secondary pg 29 |
|
| 9 | 4 |
Reflection and congruence
|
Some general deductions using reflection
Congruence Congruent triangles |
By the end of the
lesson, the learner
should be able to:
Prove that vertically opposite angles are equal |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 56-57 Discovering secondary pg 34 |
|
| 9 | 5 |
Reflection and congruence
Rotation |
Congruent triangles
The ambiguous case Introduction |
By the end of the
lesson, the learner
should be able to:
Determine the congruent triangles |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 65-66 Discovering secondary pg 40 |
|
| 9 | 6 |
Rotation
|
Centre of rotation
Angle of rotation Rotation in the Cartesian plane |
By the end of the
lesson, the learner
should be able to:
Determine the center of rotation |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 73 Discovering secondary pg 46 |
|
| 9 | 7 |
Rotation
|
Rotation in the Cartesian plane
Rotational symmetry of plane figures Rotational symmetry of solids |
By the end of the
lesson, the learner
should be able to:
Rotate objects about the 90 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 76 Discovering secondary pg 47 |
|
| 10 | 1 |
Rotation
Similarity and enlargement Similarity and enlargement |
Rotation and congruence
Similar figures Similar figures |
By the end of the
lesson, the learner
should be able to:
Determine the relationship between rotation and congruence |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 84 Discovering secondary pg 50 |
|
| 10 | 2 |
Similarity and enlargement
|
Enlargement
Enlarge objects Linear scale factor Linear scale factor |
By the end of the
lesson, the learner
should be able to:
Enlarge an object |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 97 Discovering secondary pg 57 |
|
| 10 | 3 |
Similarity and enlargement
|
Negative scale factor
Positive and negative linear scale factor Area scale factor |
By the end of the
lesson, the learner
should be able to:
Find the negative scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 104 Discovering secondary pg 59 |
|
| 10 | 4 |
Similarity and enlargement
|
Area of scale factor
Volume scale factor Volume scale factor |
By the end of the
lesson, the learner
should be able to:
Use area scale factor to solve problems |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 108 Discovering secondary pg 64 |
|
| 10 | 5 |
Similarity and enlargement
Trigonometry Trigonometry Trigonometry |
Area and volume scale factor
Pythagoras Theorem Solutions of problems Using Pythagoras Theorem Application to real life Situation |
By the end of the
lesson, the learner
should be able to:
Solve problems on area and volume scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Chalkboard Charts Illustrating derived theorem Charts illustrating Pythagoras theorem Mathematical table |
KLB Mathematics
Book Two Pg 111-112 Discovering secondary pg 64 |
|
| 10 | 6 |
Trigonometry
|
Trigonometry Tangent, sine and cosines
Trigonometric Table Angles and sides of a right angled triangle |
By the end of the
lesson, the learner
should be able to:
Define tangent, sine and cosine ratios from a right angles triangle |
Defining what a tangent, Cosine and sine are using a right angled triangle
|
Charts illustrating tangent, sine and cosine
Mathematical table Mathematical table Charts Chalkboard |
KLB BK2 Pg 123,132,133 Discovering secondary pg 70
|
|
| 10 | 7 |
Trigonometry
|
Establishing Relationship of sine and cosine of complimentary angles
Sines and cosines of Complimentary angles Relationship between tangent, sine and cosine |
By the end of the
lesson, the learner
should be able to:
Establish the relationship of sine and cosine of complimentary angles |
Using established relationship to solve problems
|
Chalkboards
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles Charts showing the three related trigonometric ratio |
KLB BK2 Pg 145
|
|
| 11 | 1 |
Trigonometry
|
Trigonometric ratios of special angles 30, 45, 60 and 90
Application of Trigonometric ratios in solving problems Logarithms of Sines Logarithms of cosines And tangents |
By the end of the
lesson, the learner
should be able to:
Determine the trigonometric ratios of special angles without using tables |
Determining the trigonometric ratios of special angles 30,45,60 and 90 without using tables
|
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle
Chalkboard Chalkboard Mathematical tables Chalkboard Mathematical table |
KLB BK2 Pg 146-147
|
|
| 11 | 2 |
Trigonometry
|
Reading tables of logarithms of sines, cosines and tangents
Application of trigonometry to real life situations Area of a triangle Area of a triangle given the base and height (A = ? bh) |
By the end of the
lesson, the learner
should be able to:
Read the logarithms of sines, cosines and tangents from tables |
Solving problems through reading the table of logarithm of sines, cosines and tangents
|
Chalkboard Mathematical table
Mathematical table Chart illustrating worked problem Chalkboard |
KLB BK2 Pg 149-152
|
|
| 11 | 3 |
Trigonometry
|
Area of a triangle using the formula (A = ? absin?)
Area of a triangle using the formula A = ?s(s-a)(s-b)(s-c) Area of Quadrilateral and Polygons Area of a square, rectangle, rhombus, parallelogram and trapezium Area of a kite |
By the end of the
lesson, the learner
should be able to:
- Derive the formula ? absinc - Using the formula derived in calculating the area of a triangle given two sides and an included angle |
Deriving the formula ? absinc Using the formula to calculate the area of a triangle given two sides and an included angle
|
Charts illustrating a triangle with two sides and an included angle Charts showing derived formula
Charts illustrating a triangle with three sides Charts illustrating a worked example i.e. mathematical table Charts illustrating formula used in calculating the areas of the quadrilateral Model of a kite |
KLB BK2 Pg 156
|
|
| 11 | 4 |
Trigonometry
|
Area of other polygons (regular polygon) e.g. Pentagon
Area of irregular Polygon Area of part of a circle Area of a sector (minor sector and a major sector) |
By the end of the
lesson, the learner
should be able to:
Find the area of a regular polygon |
Calculating the area of a regular polygon
|
Mathematical table Charts illustrating Polygons
Charts illustrating various irregular polygons Polygonal shapes Charts illustrating sectors |
KLB BK2 Pg 164
|
|
| 11 | 5 |
Trigonometry
|
Defining a segment of a circle Finding the area of a segment of a circle
Area of a common region between two circles given the angles and the radii Area of a common region between two circles given only the radii of the two circles and a common chord |
By the end of the
lesson, the learner
should be able to:
- Define what a segment of a circle is - Find the area of a segment of a circle |
Finding the area of a segment by first finding the area of a sector less the area of a smaller sector given R and r and angle ?
|
Chart illustrating a Segment
Charts illustrating common region between the circles Use of a mathematical table during calculation Charts illustrating common region between two intersecting circles |
KLB BK2 Pg 169-170
|
|
| 11 | 6 |
Trigonometry
|
Surface area of solids Surface area of prisms Cylinder (ii) Triangular prism (iii) Hexagonal prism
Area of a square based Pyramid Surface area of a Rectangular based Pyramid Surface area of a cone using the formula A = ?r2 + ?rl |
By the end of the
lesson, the learner
should be able to:
Define prism and hence be in a position of calculating the surface area of some prisms like cylinder, triangular prism and hexagonal prism |
Defining a prism Calculating the surface area of the prisms
|
Models of cylinder, triangular and hexagonal prisms
Models of a square based pyramid Models of a Rectangular based pyramid Models of a cone |
KLB BK 2 Pg 177
|
|
| 11 | 7 |
Trigonometry
|
Surface area of a frustrum of a cone and a pyramid
Finding the surface area of a sphere Surface area of a Hemispheres |
By the end of the
lesson, the learner
should be able to:
Find the surface area of a frustrum of a cone and pyramid |
Finding the surface area of a frustrum of a cone and a pyramid
|
Models of frustrum of a cone and a pyramid
Models of a sphere Charts illustrating formula for finding the surface area of a sphere Models of a hemisphere |
KLB BK 2 Pg 182
|
|
| 12 | 1 |
Trigonometry
|
Volume of Solids Volume of prism (triangular based prism)
Volume of prism (hexagonal based prism) given the sides and angle Volume of a pyramid (square based and rectangular based) |
By the end of the
lesson, the learner
should be able to:
Find the volume of a triangular based prism |
Finding the volume of a triangular based prism
|
Models of a triangular based prism
Models of hexagonal based prism Models of square and Rectangular based Pyramids |
KLB BK 2 Pg 186
|
|
| 12 | 2 |
Trigonometry
|
Volume of a cone
Volume of a frustrum of a cone Volume of a frustrum of a pyramid Volume of a sphere (v = 4/3?r3) |
By the end of the
lesson, the learner
should be able to:
Find the volume of a cone |
Finding the volume of a cone
|
Model of a cone
Models of a frustrum of a cone Models of frustrum of a pyramid Model of a sphere Mathematical table |
KLB BK 2 Pg 191
|
|
| 12 | 3 |
Trigonometry
Trigonometric Ratios |
Volume of a Hemisphere {(v = ? (4/3?r3)}
Application of area of triangles to real life Tangent of an angle |
By the end of the
lesson, the learner
should be able to:
Find the volume of a hemisphere |
Working out the volume of a hemisphere
|
Models of hemisphere
Mathematical table Chart illustrating formula used Protractor Ruler Right corners Mathematical tables |
Macmillan BK 2 Pg 173
|
|
| 12 | 4 |
Trigonometric Ratios
|
Tangent of an angle
Using tangents in calculations Application of tangents The sine of an angle |
By the end of the
lesson, the learner
should be able to:
find the tangent of an angle from tables |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 12 | 5 |
Trigonometric Ratios
|
The cosine of an angle
Application of sine and cosine Complementary angles |
By the end of the
lesson, the learner
should be able to:
find the cosine of an angle by calculations and through tables |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 12 | 6 |
Trigonometric Ratios
|
Special angles
Application of Special angles Logarithms of sines, cosines and tangents |
By the end of the
lesson, the learner
should be able to:
find the sine, cos, and tan of 300,600,450,00,900, without using tables |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 12 | 7 |
Trigonometric Ratios
Area of A Triangle |
Relationship between sin, cos and tan
Application to real life situation Problem solving Area = |
By the end of the
lesson, the learner
should be able to:
relate sin, cos and tan that is tan?=sin? cos? Solve problems using the relationship |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 13 | 1 |
Area of A Triangle
|
Solve problems involving =
A =?s(s-a) (s-b) (s-c) Problem solving |
By the end of the
lesson, the learner
should be able to:
solve problems involving area of triangles using the formula Area = |
Discussions
Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 155-157
|
|
| 13 | 2 |
Area of Quadrilaterals
|
Area of parallelogram
Area of Rhombus Area of trapezium and kite |
By the end of the
lesson, the learner
should be able to:
find the area of quadrilaterals like trapeziums, parallelogram etc. by dividing the shape of triangles |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables |
KLB Maths Bk2 Pg. 160
|
|
| 13 | 3 |
Area of Quadrilaterals
Area of Part of a Circle Area of Part of a Circle |
Area of regular polygons
Problem solving Area of a sector Area of a segment |
By the end of the
lesson, the learner
should be able to:
find the area of a regular polygon by using the formula A= |
Drawing trapeziums/polygons
Measuring lengths/angles Reading mathematical tables Discussions |
Parallelograms
Trapeziums Polygons Squares/rectangles Mathematical tables Chalkboard illustrations Mathematical tables Circles Chart illustrating the area of a sector Chart illustrating the area of a minor segment |
KLB Maths Bk2 Pg. 119-122
|
|
| 13 | 4 |
Area of Part of a Circle
|
Common region between two circles
Common region between two circles Problem solving |
By the end of the
lesson, the learner
should be able to:
find the area of the common region between two circles. |
Drawing circles
Measuring radii/diameters Measuring angles Calculating the area of a circle Discussions |
Circles
Chart illustrating the area of a minor segment Chart illustrating the area of a minor segment Chalkboard illustrations |
KLB Maths Bk2 Pg. 167-169
|
|
| 13 | 5 |
Surface Area of Solids
|
Surface area of prisms
Surface area of pyramid Surface area of a cone Surface area of frustrum with circular base |
By the end of the
lesson, the learner
should be able to:
find the surface area of a prism. |
Drawing prisms
Measuring lengths Opening prisms to form nets Discussions Calculating area |
Prism Chalkboard illustrations
Pyramids with square base, rectangular base, triangular base Cone Chart illustrating the surface area of a frustrum |
KLB Maths Bk2 Pg. 177
|
|
| 13 | 6 |
Surface Area of Solids
|
Surface area of frustrum with square base
Surface area of frustrum with rectangular base Surface area of spheres |
By the end of the
lesson, the learner
should be able to:
find the surface area of frustrum with square base |
Drawing cones/frustums
Making cones/frustums Measuring lengths/ angles Discussions Learners find the surface area |
Chart illustrating frustrum with a square base
Chart illustrating frustrum with a rectangular base Chalkboard illustrations |
KLB Maths Bk2 Pg. 181-183
|
|
| 13 | 7 |
Surface Area of Solids
Volume of Solids Volume of Solids |
Problem solving
Volume of prism Volume of pyramid |
By the end of the
lesson, the learner
should be able to:
solve problems on surface area of solids |
Learners solve problems
|
Past paper questions
Prism Pyramid |
KLB Maths Bk2 Pg. 183
|
|
| 14 | 1 |
Volume of Solids
|
Volume of a cone
Volume of a sphere Volume of frustrum Volume of frustrum with a square base |
By the end of the
lesson, the learner
should be able to:
find the volume of a cone |
Making cones/frustums
Opening cones/frustums to form nets |
Cone
Sphere Frustrum with circular base Frustrum with square base |
KLB Maths Bk2 Pg. 191
|
|
| 14 | 2 |
Volume of Solids
|
Volume of frustrum with a rectangular base
Application to real life situation Problem solving |
By the end of the
lesson, the learner
should be able to:
find the volume of a frustrum with a rectangular base |
Making cones/frustums
Opening cones/frustums to form nets |
Frustrum with rectangular base
Models of pyramids, prism, cones and spheres Past paper questions |
KLB Maths Bk2 Pg. 192-193
|
|
| 14 | 3 |
Quadratic Expressions and Equations
|
Expansion of Algebraic Expressions
Quadratic identities Application of identities |
By the end of the
lesson, the learner
should be able to:
expand algebraic expressions |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 203
|
|
| 14 | 4 |
Quadratic Expressions and Equations
|
Factorise the Identities
Factorise other quadratic expressions Factorisation of expressions of the form k2-9y2 Simplification of an expression by factorisation |
By the end of the
lesson, the learner
should be able to:
factorise the identities |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions Chart illustrating factorization of a quadratic expression |
KLB Maths Bk2 Pg. 205-208
|
|
| 14 | 5 |
Quadratic Expressions and Equations
|
Solving quadratic equations
The formation of quadratic equations Formation and solving of quadratic equations from word problems |
By the end of the
lesson, the learner
should be able to:
solve quadratic equations |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions |
KLB Maths Bk2 Pg. 208
|
|
| 14 | 6 |
Quadratic Expressions and Equations
Linear Inequalities Linear Inequalities |
Solving on quadratic equations
Forming quadratic equations from the roots Inequalities symbols Number line |
By the end of the
lesson, the learner
should be able to:
solve problems on quadratic equations |
Discussions
Multiplying numbers Dividing numbers Adding numbers Subtracting numbers Exercises |
Real-life experiences
Worked out expressions Number lines Graph papers Square boards Negative and positive numbers Negative and positive numbers |
KLB Maths Bk2 Pg. 208-210
|
|
| 14 | 7 |
Linear Inequalities
|
Inequalities in one unknown
Graphical representation Graphical solutions of simultaneous linear inequalities |
By the end of the
lesson, the learner
should be able to:
solve linear inequalities in one unknown and state the integral values |
Drawing graphs of
inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Number lines
Graph papers Square boards Negative and positive numbers Number lines Graph papers |
KLB Maths Bk2 Pg. 213-224
|
|
| 15 | 1 |
Linear Inequalities
|
Graphical solutions of simultaneous linear inequalities
Area of the wanted region Inequalities from inequality graphs |
By the end of the
lesson, the learner
should be able to:
solve simultaneous linear inequalities graphically |
Drawing graphs of
inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Number lines
Graph papers Square boards Negative and positive numbers |
KLB Maths Bk2 Pg. 213-224
|
|
| 15 | 2 |
Linear Inequalities
Linear Motion Linear Motion Linear Motion |
Problem solving.
Displacement, velocity, speed and acceleration Distinguishing terms Distinguishing velocity and acceleration |
By the end of the
lesson, the learner
should be able to:
solve problems on linear inequalities |
Drawing graphs of
inequalities Determining the scale of a graph Shading unwanted regions Discussions |
Number lines
Graph papers Square boards Negative and positive numbers Stones Pieces of paper |
KLB Maths Bk2 Pg. 213-224
|
|
| 15 | 3 |
Linear Motion
|
Distance time graphs
Interpret the velocity time graph Interpreting graphs |
By the end of the
lesson, the learner
should be able to:
plot and draw the distance time graphs |
Plotting graphs
Drawing graphs |
Graph papers
Stones Pieces of paper Drawn graphs |
KLB Maths Bk2 Pg. 228-238
|
|
| 15 | 4 |
Linear Motion
Statistics |
Relative speed (objects moving in the same direction)
Problem solving Definition |
By the end of the
lesson, the learner
should be able to:
solve problems on objects moving in different directions |
Teacher/pupil discussion
|
Real life situation
Chalkboard illustrations Past paper questions Weighing balance Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB
Maths Bk2 Pg.329 |
|
| 15 | 5 |
Statistics
|
Collection and organization of data
Frequency tables Grouped data Mean of ungrouped data |
By the end of the
lesson, the learner
should be able to:
collect and organize data |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 15 | 6 |
Statistics
|
Median of ungrouped data
Mean of ungrouped data Median of a grouped data modal class |
By the end of the
lesson, the learner
should be able to:
calculate the median of ungrouped data and state the mode |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers |
KLB Maths Bk2 Pg. 241-252
|
|
| 15 | 7 |
Statistics
|
Data
Representation.
Line graphs
Bar graphs Pictogram Histograms |
By the end of the
lesson, the learner
should be able to:
represent data in form of a line graph |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Weighing balance
Ruler Tape measure Pieces of stick Arm length Foot length Graph papers Pictures which are whole, half, quarter |
KLB Maths Bk2 Pg. 241-252
|
|
| 16 | 1 |
Statistics
|
Frequency polygons
Histograms with uneven distribution Interpretation of data |
By the end of the
lesson, the learner
should be able to:
represent data in form of frequency polygons |
Collecting data
Measuring length/mass/age Drawing graphs Drawing tables Using symbols to represent data Discussion |
Histograms drawn. Data
Data with uneven classes Real life situations |
KLB Maths Bk2 Pg. 241-252
|
|
| 16 | 2 |
Statistics
Angle Properties of a Circle Angle Properties of a Circle |
Problem solving
Arc chord segment Angles subtended by the same arc in the same segment |
By the end of the
lesson, the learner
should be able to:
solve problems on statistics |
Problem solving
|
Past paper questions
Chart illustrating arc chord and segment Chart illustrating Angles subtended by the same arc in same segment are equal |
KLB Maths Bk2 Pg. 241-252
|
|
| 16 | 3 |
Angle Properties of a Circle
|
Angle at the centre and at the circumference
Angles subtended by the diameter at the circumference Cyclic quadrilateral Cyclic quadrilateral |
By the end of the
lesson, the learner
should be able to:
relate and compute angle subtended by an arc of a centre and at the circumference |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Chart illustrating Angles subtended at the centre by an arc and one subtended at the circumference
Circles showing the different parts |
KLB Maths Bk2 Pg. 264-278
|
|
| 16 | 4 |
Angle Properties of a Circle
|
Exterior angle property
Problem solving Problem solving |
By the end of the
lesson, the learner
should be able to:
apply the exterior angle property |
Discussions
Drawing circles Measuring radii/diameters/angles Identifying the parts of a circle |
Circles showing the
different parts different parts Past paper questions different parts Past paper questions |
KLB Maths Bk2 Pg. 264-278
|
|
| 16 | 5 |
Vectors
|
Definition and Representation of vectors
Equivalent vectors Addition of vectors |
By the end of the
lesson, the learner
should be able to:
define a vector and a scalar, use vector notation and represent vectors. |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 284-285
|
|
| 16 | 6 |
Vectors
|
Multiplication of vectors
Position vectors Column vector Magnitude of a vector |
By the end of the
lesson, the learner
should be able to:
multiply a vector and a scalar |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 290
|
|
| 16 | 7 |
Vectors
|
Mid - point
Translation vector |
By the end of the
lesson, the learner
should be able to:
calculate the midpoint of a vector |
Writing position vectors
Adding/subtracting numbers Squaring and getting the square root of numbers |
1x2 matrices
Graph papers Square boards Ruler |
KLB Maths Bk2 Pg. 302
|
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