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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Natural Numbers
|
Place Value of 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 |
Discovering secondary mathematics Book 1 Pages 1-3
Secondary mathematics KLB book 1 pages 1-2 Advantages in mathematics book 1 pages 1-2 |
|
| 2 | 2 |
Natural Numbers
|
Round off Numbers
|
By the end of the
lesson, the learner
should be able to:
Round off numbers to the nearest tens hundreds, thousands, millions and billions |
Discussions
Solving problems involving rounding off numbers Guiding Illustrations |
Charts to show the rounding off of numbers
Number line Scales on a ruler, thermometer, vernier calipers |
Discovering secondary mathematics book 1 page 3
KLB book 1 page 3 Secondary mathematics KIE book 1 page 2 Advancing in mathematics book 1 pages 3-4 |
|
| 2 | 3 |
Natural Numbers
Greatest Common Divisor (Gcd) Factors |
Classification and operation on natural numbers
GCD of a set of numbers Factors of composite numbers |
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 how to get GCD Multiplication tables Containers of different capacities Charts to show the factorization of numbers Factor ? tree diagram |
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 |
|
| 2 | 4 |
Factors
|
Prime Factors
|
By the end of the
lesson, the learner
should be able to:
Define the term prime factor Express numbers as products of prime factors |
Discussions
Demonstrations Listing the prime factors of numbers Solving problems involving prime factors Guiding |
Charts to show the factorization of numbers
Multiplication tables |
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 |
|
| 2 | 5 |
Factors
Integers |
Factors in power form
Integers |
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 Number line Stairways Natural numbers Whole Numbers |
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 |
|
| 2 | 6 |
Integers
|
Operations of integers
|
By the end of the
lesson, the learner
should be able to:
Perform the four basic operations on integers using the number line |
Demonstrations
Discussions Illustrating and solving problems involving four basic operations on integers Explanations Discussing exercises |
Charts showing integers
Number line Stair case Ladder Thermometer Real life situations |
Discovering secondary mathematics book 1 page 16-20
KLB book 1 pages 30-36 Advancing mathematics book 1 page 22-29 Secondary mathematics KIE book 1 page 3-8 |
|
| 3 | 1 |
Integers
|
Combined operations
|
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 |
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 |
|
| 3 | 2 |
Divisibility Test
|
Divisibility of numbers by 2, 3, 4, 5
|
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 |
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 |
|
| 3 | 3 |
Divisibility Test
|
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 6, 8, 9 and use the knowledge of divisibility to solve problems |
Discussions
Solving problems involving the divisibility of numbers of 6, 8, and 9 Illustrating to the learner how to test divisibility of numbers by 6, 8, 9, 10 and 11 |
Divisibility test charts
Multiplication table Multiples of numbers Factors of numbers Prime numbers |
Discovering secondary mathematics book 1 page 10 - 11
KLB book 1 pages 16 - 17 Advancing mathematics book 1 page 11 Secondary mathematics KIE book 1 page 14 |
|
| 3 | 4 |
Divisibility Test
Least Common Multiple (Lcm) |
Divisibility of numbers 10 and 11
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 Prime numbers Multiplication tables Natural numbers Even numbers Odd numbers Containers of different capacities 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 |
|
| 3 | 5 |
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 |
|
| 3 | 6 |
Fractions
|
The meaning of fractions
|
By the end of the
lesson, the learner
should be able to:
Define fractions Identify and write fractions in figures (proper and improper) |
Definition
Discussions Solving problems involving fractions |
Charts
Illustrating operations on fractions |
Discovering secondary mathematics book 1 page 11
Discovering secondary mathematics teachers guide pages 8-11 Secondary mathematics KLB book 1 pages 40-41 Advancing mathematics book 1 page 36 Secondary mathematics KIE book 1 page 18 |
|
| 4 | 1 |
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 |
|
| 4 | 2 |
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 |
|
| 4 | 3 |
Fractions
|
Multiplication and division of fractions
|
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 |
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 |
|
| 4 | 4 |
Fractions
|
Order of operations
|
By the end of the
lesson, the learner
should be able to:
Carry out combined operations on fractions on the correct order |
Discussions
Addition? Subtraction Multiplication Division Conversion of fractions |
Multiplication tables
Conversion tables Real objects |
Discovering secondary mathematics book 1 pages 29-30
Discovering secondary mathematics teachers guide pages 8-11 KLB book 1 page 54-57 Advancing mathematics book 1 page 47 Secondary mathematics KIE book 1 page 28-31 |
|
| 4 | 5 |
Fractions
|
Application of fractions in a real life situation
|
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 |
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 |
|
| 4 | 6 |
Decimals
|
Fractions and decimals
Recurring decimals |
By the end of the
lesson, the learner
should be able to:
Define decimals Convert fractions into decimals |
Definition
Discussions Doing exercises Illustration Demonstrations Dividing Multiplying |
Equivalent fractions
Multiplication tables Real life situations Real ? life situation |
Discovering secondary mathematics Book 1 Pages 32-34
Discovering secondary mathematics teachers guide pages 12-15 Secondary mathematics KLB book 1 pages 58-60 Secondary mathematics KIE book 1 page 32-34 Advancing in mathematics book 1 pages 48 |
|
| 5 | 1 |
Decimals
|
Recurring decimals and fractions
|
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 |
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 |
|
| 5 | 2 |
Decimals
|
Rounding off decimals
Standard form |
By the end of the
lesson, the learner
should be able to:
Round off a decimal number to the required number of decimal places |
Discussions
Estimation Rounding off Demonstrations Doing exercises |
Place value charts
Ruler Tape measure Objects measuring instruments |
Discovering Secondary mathematics book 1 pages 36
Secondary mathematics KLB book 1 page 64 Secondary mathematics KIE book 1 page 42 Advancing in mathematics book 1 page 56-57 |
|
| 5 | 3 |
Decimals
|
Addition and subtraction of decimals
Multiplication and division |
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 |
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 |
|
| 5 | 4 |
Decimals
|
Combined operation on decimals
|
By the end of the
lesson, the learner
should be able to:
Carry out operations in the correct order Apply the knowledge of decimals to real life situations |
Discussions
Application of decimals to real life situations Adding Multiplying Dividing Subtracting Solving puzzles Playing games |
Place value charts
Multiplication tables Mathematical tables Tape measure Metre rule Ruler Strings Regular shaped objects |
Discovering secondary mathematics book 1 page 42-43
KLB book 1 pages 71-72 Advancing mathematics book 1 page 60 Secondary mathematics KIE book 1 page 44 KLB teachers book 25-30 Golden tips (KCSE) mathematics page 14 |
|
| 5 | 5 |
Squares And Square Roots
|
Squares of numbers
Squares of numbers greater than 1 and less than 10 Squares of numbers greater 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 |
|
| 5 | 6 |
Squares And Square Roots
|
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 squares of numbers less than 1 from mathematical tables |
Discussions
Doing exercises Reading mathematical tables Solving puzzles |
Mathematical tables
Multiplication tables Calculators (Scientific) |
KLB book 1 pages 76
Discovering secondary mathematics book 1 page 46 Advancing mathematics book 1 page 63 Secondary mathematics KIE book 1 page 97-98 Golden tips (KCSE) mathematics page 61 |
|
| 6 | 1 |
Squares And Square Roots
|
Square root tables
|
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 |
|
| 6 | 2 |
Squares And Square Roots
Angles |
Square roots of numbers less than one and greater than 100
Measuring and drawing angles |
By the end of the
lesson, the learner
should be able to:
Get the Square roots of numbers less than one and greater than 100 form their mathematical tables |
Discussions
Mathematical table Doing exercises |
Mathematical tables
Multiplication tables Protractor Ruler Models of figures Charts |
Discovering secondary mathematics book 1 pages 48-49
KLB book 1 page 78 Advancing mathematics book 1 page 67-68 Secondary mathematics KIE book 1 page 102-103 |
|
| 6 | 3 |
Angles
|
Types of angles
|
By the end of the
lesson, the learner
should be able to:
Name and draw different types of angles |
Discussions
Drawing angles Measuring angles Naming angles |
Protractor
Ruler Models of triangles, rectangles etc Charts |
Discovering secondary mathematics book 1 pages 51-52
Secondary mathematics KLB students book 1 page 197-198 Advancing mathematics book 1 page 175-177 Secondary mathematics KIE book 1 page 62-64 |
|
| 6 | 4 |
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 |
|
| 6 | 5 |
Polygons
|
Triangles
|
By the end of the
lesson, the learner
should be able to:
Define a polygon and identify and draw different triangles. |
Discussions
Drawing triangles Measuring Angles Measuring lengths Definitions |
Protractor
Ruler Models of different triangles |
Discovering secondary mathematics book 1 pages 58-61
Secondary mathematics KLB students book 1 page 211 Advancing mathematics book 1 page 182-183 Secondary mathematics KIE book 1 page 75-76 |
|
| 6 | 6 |
Polygons
|
Interior and exterior angles of a polygons
|
By the end of the
lesson, the learner
should be able to:
Identify and draw interior and exterior angles of a quadrilateral |
Discussions
Drawing quadrilaterals Measuring angles Measuring lengths Illustrations |
Protractor
Ruler Strings Real Objects |
Discovering secondary mathematics book 1 pages 63-66
Secondary mathematics KLB students book 1 page 212-213 Advancing mathematics book 1 page 182-183 Secondary mathematics KIE book 1 page 76-77 |
|
| 7 |
Midterm |
|||||||
| 8 | 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 |
|
| 8 | 2 |
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 |
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 |
|
| 8 | 3 |
Length
|
Perimeter of plain figures
Circumference |
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 Circular objects Rulers Strings Conversion charts for length |
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 |
|
| 8 | 4 |
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 |
|
| 8 | 5 |
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 |
|
| 8 | 6 |
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 |
|
| 9 | 1 |
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 |
|
| 9 | 2 |
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 |
|
| 9 | 3 |
Geometric Constructions
Algebraic Expressions |
Constructing polygons
Representing numbers by letters |
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 Counters Groups of items |
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 |
|
| 9 | 4 |
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 |
|
| 9 | 5 |
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 |
|
| 9 | 6 |
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 |
|
| 10 | 1 |
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 |
|
| 10 | 2 |
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 |
|
| 10 | 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 |
|
| 10 | 4 |
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 |
|
| 10 | 5 |
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 |
|
| 10 | 6 |
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 |
|
| 11 | 1 |
Coordinates And Graphs
Area |
Graphical solutions
Area of combined and conversion of units of area |
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 Regular flat surfaces Square paper Rectangular objects |
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 |
|
| 11 | 2 |
Area
|
Area of a triangle and rectangle
|
By the end of the
lesson, the learner
should be able to:
Calculate the area of a triangle and rectangle |
Discussions
Measuring length Calculating the area of a triangle |
Triangular flat surfaces
Square paper Square boards Triangular objects |
Discovering secondary mathematics Book 1 Pages 117-118
Secondary mathematics KLB book 1 pages 124-125 Secondary mathematics KIE book 1 page 110 Advancing in mathematics book 1 pages 109-110 |
|
| 11 | 3 |
Area
|
Area of a parallelogram and trapezium
|
By the end of the
lesson, the learner
should be able to:
Calculate the area of a Parallelogram trapezium |
Discussions
Measuring length Calculating the area of a parallelogram Calculating the area of a trapezium |
Square board
Trapezoidal objects Shapes with a shape of a parallelogram |
Discovering secondary mathematics Book 1 Pages 118-121
Secondary mathematics KLB book 1 pages 125-126 Secondary mathematics KIE book 1 page 110-111 Advancing in mathematics book 1 pages 111-113 |
|
| 11 | 4 |
Area
|
Area of a circle
|
By the end of the
lesson, the learner
should be able to:
Calculate the area of a circle |
Discussions
Demonstrations Measuring the radius/diameter Calculating the area of a circle |
Circular shapes
Or objects Square paper Square board |
Discovering secondary mathematics Book 1 Pages 121-123
Secondary mathematics KLB book 1 pages 129-132 Secondary mathematics KIE book 1 page 123-125 Advancing in mathematics book 1 pages 115 |
|
| 11 | 5 |
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 |
|
| 11 | 6 |
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 |
|
| 12 | 1 |
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 |
|
| 12 | 2 |
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 |
|
| 12 | 3 |
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 |
|
| 12 | 4 |
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 |
|
| 12 | 5 |
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 |
|
| 12 | 6 |
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 |
|
| 13 | 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 |
|
| 13 | 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 |
|
| 13 | 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 |
|
| 13 | 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 |
|
| 13 | 5 |
Scale Drawing And Angles Of Elevation And Depression
|
Indicating scale
|
By the end of the
lesson, the learner
should be able to:
Read, interpret and indicate scale in linear statement ratio |
Discussions
Solving problems Drawing to scale Writing scale Interpreting scale Determining scale |
Ruler
Tape measure Figure drawn to scale photographs |
Discovering secondary mathematics Book 1 Pages 116-168
Secondary mathematics KLB book 1 pages 248-250 Secondary mathematics KIE book 1 page 185 Advancing in mathematics book 1 pages 209-210 |
|
| 13 | 6 |
Scale Drawing And Angles Of Elevation And Depression
|
Angles of elevation & depression
|
By the end of the
lesson, the learner
should be able to:
Determine the angles of elevation and depression |
Discussions
Drawing to scale Doing exercises Solving problems Measuring angles/lengths |
Ruler
Tape measure Figure drawn to scale photographs |
Discovering secondary mathematics Book 1 Pages 168-172
Secondary mathematics KLB book 1 pages 256-260 Secondary mathematics KIE book 1 page 187-192 Advancing in mathematics book 1 pages 211 |
|
| 14 | 1 |
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 |
|
| 14 | 2 |
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 |
|
| 14 | 3 |
Bearing And Surveying
Common Solids |
Area of irregular shapes
Regular solids |
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 Models of common solids Actual solids |
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 |
|
| 14 | 4 |
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 |
|
| 14 | 5 |
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 |
|
| 14 | 6 |
Common Solids
|
Distance between two points on the surface area of solid
|
By the end of the
lesson, the learner
should be able to:
Determine the distance between two points on the surface of a solid |
Discussions
Sketching Making models Drawing to scale Measuring lengths/angles |
Sketches of cubes and cuboids
charts |
Discovering secondary mathematics Book 1 Pages 189-191
Secondary mathematics KLB book 1 pages 286-288 Advancing in mathematics book 1 pages 231-233 |
|
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