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LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1
Welcome to the Longman Kenya schemes of work
We are delighted to bring you schemes of work ready for use.The schemes of work are in line with our mission which is to make your work easy so you can focus on the business of teaching. While preparing these schemes, careful consideration was given to the need to make your classes innovative, lively and inspiring. The schemes cover the entire secondary cycle, from form 1 to 4. You will need to scroll down the CD to get to your specific subject area. The subject areas are arranged alphabetically.We do hope you will find the suggested activities and resources motivating and in line with the curriculum requirements. The schemes are a guide and you should adapt them to suit your particular circumstances.The schemes of work are based on the following tried and tested Longman Kenya textbooks and supplementary books:
Textbooks Explore Mathematics 1-4
Reference Books Longman KCSE Mathematics Revision Technician Mathematics book 1 & 3 Pure Mathematics 1&2
To make the most of the schemes you need to have the books listed above.
We know that in this new era of multi-media technology the needs and expectations of your learners are constantly changing, and we aim to provide inspiring, innovating and high-value books that will keep them interested. Whatever your subject area or interest Longman Kenya has something for you.We look forward to supporting you and your learners over the coming years and hope you enjoy using our schemes of work.Do not hesitate to contact me for any clarifications.Best wishes
Jacob MachariaSales Manager, Longman KenyaTel: Mobile – 0724 159770 Office – 020 2219177
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1:
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1TERM 1
WK PRD TOPIC SUB-TOPIC SPECIFIC OBJECTIVES
TEACHING/ LEARNING ACTIVITIES
TEACHING/ LEARNING RESOURCES
REFERENCES REMARKS
4 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.
Teacher/pupil discussion on natural numbers
Place value Charts
Explore Mathematics Book 1Pg 1-2
2 Natural Numbers
Rounding 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
-Learners round off numbers to the nearest tens hundreds thousands millions and billions
Blank cheques and statements
Explore Mathematics Book 1Pg 2
3 Natural Numbers
Odd numbers Even numbers prime numbers
By the end of the lesson, the learner should be able to classify natural numbers as odd or even or prime
Teacher uses coloured beads to differentiate even and odd numbers.
Puzzles Explore Mathematics Book 1Pg 3
4 Natural Numbers
Word problems By the end of the lesson, the learner should be able to solve word problems involving natural
Teacher/pupil discussion
Real life situations
Explore Mathematics Book 1Pg 3
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1numbers
5 Factors Factors of composite numbers
By the end of the lesson, the learner should be able to express composite numbers in factor form
Teacher/pupil discussion
Chart to illustrate factorization (factor tree diagram
Explore Mathematics Book 1Pg 14
6 Factors Prime factors By the end of the lesson, the learner should be able to express numbers as a product of prime factors
Teacher/pupil discussion
Chart on prime factorization
Explore Mathematics Book 1Pg 14 -15
5 1 Factors Factors in power form
By the end of the lesson, the learner should be able to express factors in power form
Learners express numbers in power form
Chart on factorization
Explore Mathematics Book 1Pg 15
2 Divisibility Test
Divisibility test of numbers by 2,3,4,5,6
By the end of the lesson, the learner should be able to test divisibility of numbers by 2,3,4,5 and 6
Teacher/pupil discussion
- Multiplication tables - Chart to illustrate divisibility test
Explore Mathematics Book 1Pg 18
3 Divisibility Test
Divisibility test of numbers by 8,9,10 and 11
By the end of the lesson, the learner should be able to test divisibility of numbers by 8,9,10, and 11
Teacher/pupil discussion
Charts to illustrate divisibility test
Explore Mathematics Book 1Pg 19
4 Greatest G.C.D of a set of By the end of the Teacher/pupil Containers of Explore
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1Common Divisor (GCD)
numbers lesson, the learner should be able to find the G.C.D/H.C..F of a set of numbers
discussion different capacities but same shape
Mathematics Book 1Pg 16
5 GCD Application of G.C.D to real life situations
By the end of the lesson, the learner should be able to apply G.C.D to real life situations
Teacher/pupil discussion
Strings of different sizes
Explore Mathematics Book 1Pg 17
6 Least Common Multiples (LCM)
Multiples of numbers Finding L.C.M
By the end of the lesson, the learner should be able to list multiples of numbersFind the L.C.M of a set of numbers
Teacher/pupil discussion
- Bells that can ring at different intervals - Containers of different capacities
Explore Mathematics Book 1Pg 18
6 1 LCM Application By the end of the lesson, the learner should be able to apply the knowledge of LCM to real life situations
Teacher leads pupils to problems leading to L.C.M
Flickering light alarms
Explore Mathematics Book 1Pg 18
2 Integers Definition number line
By the end of the lesson, the learner should be able to define integers.Identify integers on the number
Teacher/pupil discussion
Thermometer ladder
Explore Mathematics Book 1Pg 5
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1line
3 Integers Operation on integers
By the end of the lesson, the learner should be able to perform the four basic operations on integers using the number line
Teacher/pupil discussion
Charts on the number line
Explore Mathematics Book 1Pg 6
4 Integers Order of operation
By the end of the lesson, the learner should be able to work out combined operations of integers in the correct order
Teacher/pupil discussion
Thermometer ladder
Explore Mathematics Book 1Pg 7-9
5 Integers Application to real life situation
By the end of the lesson, the learner should be able to apply the knowledge of integers to real life situations
Teacher/pupil discussion
Real life situation
Explore Mathematics Book 1Pg 6-13
6 Fractions Proper and improper fractions
By the end of the lesson, the learner should be able to identify proper and improper fractions and mixed numbers.
Teacher/pupil discussion
Chart illustrating proper and improper fractions
Explore Mathematics Book 1Pg 27
7 1 Fractions Conversions By the end of the lesson, the learner should be
Teacher/pupil discussion
Chart illustrating conversions
Explore Mathematics Book 1
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1able to convert mixed numbers to improper fractions and vice versa
Pg 28
2 Fractions Comparing fractions
By the end of the lesson, the learner should be able to compare fractions. Identify equivalent fractions.
Teacher/pupil discussion
Charts illustrating equivalent fractions
Explore Mathematics Book 1Pg 29
3 Fractions Operation on fractions
By the end of the lesson, the learner should be able to perform the four basic operations on fractions
Teacher/pupil discussion
Charts illustrating operation of fractions
Explore Mathematics Book 1Pg 30 - 31
4 Fractions Order of operation on fractions
By the end of the lesson, the learner should be able to carry out combined operations on fractions in the correct order
Teacher/pupil discussion
Charts illustrating the order of fractions
Explore Mathematics Book 1Pg 31 – 33
5 Fractions Application to real life situations
By the end of the lesson, the learner should be able to apply the knowledge of fractions to real
Teacher/pupil discussion
Real life situations
Explore Mathematics Book 1Pg 34 – 36
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1life situations
6 Decimals Fractions and decimals
By the end of the lesson, the learner should be able to convert fractions to decimals and vice versa
Teacher/pupil discussion
Charts illustrating the conversion
Explore Mathematics Book 1Pg 70 – 72
8 1 Decimals Recurring decimals
By the end of the lesson, the learner should be able to convert recurring decimals into fractions
Teacher/pupil discussion
Charts illustrating recurring decimals
Explore Mathematics Book 1Pg 73
2 Decimals Decimal places By the end of the lesson, the learner should be able to round off a decimal number to the required number of decimal places
Teacher/pupil discussion
Charts illustrating on decimal places
Explore Mathematics Book 1Pg 74
3 Decimals Standard form By the end of the lesson, the learner should be able towrite numbers in standard form
Teacher/pupil discussion
Chalkboard illustrations
Explore Mathematics Book 1Pg 75
4 Decimals Operation on decimals
By the end of the lesson, the learner should be
Teacher/pupil discussion
Charts illustrating operation on
Explore Mathematics Book 1
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1able to perform the four basic operations on decimals
decimals Pg 76
5 Decimals Order of operation on decimals
By the end of the lesson, the learner should be able to carry out operations in the correct order
Teacher/pupil discussion
Chalkboard illustrations
Explore Mathematics Book 1Pg 77
6 Decimals Application to real life situation
By the end of the lesson, the learner should be able to apply the knowledge of decimals to real life situations
Teacher/pupil discussion
Real life situations
Explore Mathematics Book 1Pg 78 – 79
9 1 Squares and Square Roots
Squares by multiplication
By the end of the lesson, the learner should be able to find the square of number by multiplication
Teacher/pupil discussion. Problem solving by students
Chalkboard illustrations
Explore Mathematics Book 1Pg 136
2 Squares and Square Roots
Squares of numbers by standard form method
By the end of the lesson, the learner should be able to write numbers in standard form. Use numbers in standard form to find squares of the parent number
Students write numbers in standard form
Chalkboard illustrations
Explore Mathematics Book 1Pg 136
3 Squares and Squares from By the end of the Teacher/pupil Math’s tables Explore
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1Square Roots square tables lesson, the
learner should be able to find the squares in mathematical numbers
discussion Mathematics Book 1Pg 137
4 Squares and Square Roots
Square root by the factor method
By the end of the lesson, the learner should be able to write numbers as a product of prime factors. Find the square root of the number by the factor method
Teacher/pupil discussion
Charts illustrating the factor method
Explore Mathematics Book 1Pg 138
5 Squares and Square Roots
Square roots from mathematical tables
By the end of the lesson, the learner should be able to find the square root of standard numbers using tables.
Teacher/pupil discussion
Chalkboard illustrations
Explore Mathematics Book 1Pg 139
6 Squares and Square Roots
Square roots from tables of numbers hot standard.
By the end of the lesson, the learner should be able to find the square roots of numbers not std using maths tables
Learners write numbers in standard form
Chalkboard illustrations
Explore Mathematics Book 1Pg 140
10 1 Algebraic Expressions
Letters for numbers
By the end of the lesson, the learner should be able to
Teacher/pupil discussion
Real life situations
Explore Mathematics Book 1Pg 37
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1use letters to represent numbers Write expressions in Algebraic form
2 Algebraic Expressions
Simplification By the end of the lesson, the learner should be able to simplify Algebraic expressions
Students collect like terms and unlike terms together
Real life situations
Explore Mathematics Book 1Pg 38
3 Algebraic Expressions
Simplification of fractions
By the end of the lesson, the learner should be able to simplify expressions involving fractions
Students solve problems on Algebraic fractions
Chalkboard illustrations
Explore Mathematics Book 1Pg 39
4 Algebraic Expressions
Factorization By the end of the lesson, the learner should be able to group terms with common factors. Factorise the terms by using brackets.
Grouping terms with like terms using brackets
Charts illustrating grouping and factorization
Explore Mathematics Book 1Pg 40
5 Algebraic Expressions
Factorization By the end of the lesson, the learner should be able to realize the effect of a negative sign (-) outside a
Problem solving using factorization with negative sigh outside a bracket.
Chalkboard illustrations
Explore Mathematics Book 1Pg 41
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1bracket on values inside the bracket.
6 Algebraic Expressions
Removal of brackets
By the end of the lesson, the learner should be able to multiply terms in like and unlike terms
- Multiplying terms - Dividing terms with like and unlike terms
Chalkboard illustrations
Explore Mathematics Book 1Pg 41
11 1 Algebraic Expressions
Removal of brackets
By the end of the lesson, the learner should be able to remove brackets from Algebraic expressions
Expanding expressions by removing brackets
Chalkboard illustrations
Explore Mathematics Book 1Pg 88
2 Algebraic Expressions
Substitution and evaluation
By the end of the lesson, the learner should be able to substitute numeric values for given values. Use the substituted values to evaluate given values
Problem solving Chalkboard illustrations
Explore Mathematics Book 1Pg 89
3 Algebraic Expressions
Substitution and evaluation
By the end of the lesson, the learner should be able to substitute and evaluate fractional
Problem solving involving fractions in Algebra
Chalkboard illustrations
Explore Mathematics Book 1Pg 90 – 95
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1Algebraic expressions
4 Algebraic Expressions
Real life situation
By the end of the lesson, the learner should be able to apply Algebra to real life situations
Forming Algebraic expressions from real life situations
Chalkboard illustrations
Explore Mathematics Book 1Pg 96 – 99
5 Rates, Ratio Percentages And Proportion
Rates By the end of the lesson, the learner should be able to define ratesSolve problems involving rates
Learners answer questions
- Real life situation- Chalkboard illustrations
Explore Mathematics Book 1Pg 98
6 Rates, Ratio Percentages And Proportion
Ratio (comparing quantities using ratio)
By the end of the lesson, the learner should be able to define ratioCompare two or more quantities using ratios
Teacher/pupil discussion
Chalkboard illustrations
Explore Mathematics Book 1Pg 99
12 1 Rates, Ratio Percentages And Proportion
Increase and decrease in a given ratio
By the end of the lesson, the learner should be able to change the quantities in a given ratio
Problem solving involving increase and decrease in ratios
Chalkboard illustrations
Explore Mathematics Book 1Pg 99
2 Rates, Ratio Percentages And
Comparing ratios By the end of the lesson, the learner should be
Problem solving on ratio - comparison
Chalkboard illustrations
Explore Mathematics Book 1
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1Proportion able to
compare two or more ratios
Pg 102 – 103
3 Rates, Ratio Percentages And Proportion
proportions By the end of the lesson, the learner should be able to represent and interpret proportional parts
Teacher/pupil discussion
Real life situations
Explore Mathematics Book 1Pg 104
4 Rates, Ratio Percentages And Proportion
Inverse and direct proportions
By the end of the lesson, the learner should be able to recognize direct and inverse proportion Solve problems involving direct and inverse proportion
Teacher/pupil discussion
Chalkboard illustrations
Explore Mathematics Book 1Pg 105
5 Rates, Ratio Percentages And Proportion
Solving problems on proportions
By the end of the lesson, the learner should be able to solve problems involving direct and inverse proportions
Teacher/pupil discussion
Real life situations
Explore Mathematics Book 1 Pg 106 – 107
6 Rates, Ratio Percentages And Proportion
Fractions and decimals as percentages
By the end of the lesson, the learner should be able to convert fractions and decimals
Teacher/pupil discussion
Chalkboard illustrations
Explore Mathematics Book 1Pg 107 – 109
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1into percentages and vice versa
13 E X A M S A N D C L O S I N G O F SCHOOL
TERM 2WK PRD TOPIC SUB-TOPIC SPECIFIC
OBJECTIVESTEACHING/ LEARNING ACTIVITIES
TEACHING/ LEARNING RESOURCES
REFERENCES REMARKS
3 Rates, Ratio Percentages By the end of the Problem Chalkboard Explore
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1Percentages And Proportion
lesson, the learner should be able to convert fractions and decimals into percentages and vice versa
solving using fractions and decimals
illustrations Mathematics Book 1Pg 99-100
4 Rates, Ratio Percentages And Proportion
Percentage increase and decrease
By the end of the lesson, the learner should be able to calculate percentage change in a given quantity
Problem solving using involving percentage changes
Chalkboard illustrations
Explore Mathematics Book 1Pg 102-104
5 Rates, Ratio Percentages And Proportion
Application of ratios, rates , percentage and proportion
By the end of the lesson, the learner should be able to apply rates, ratios percentages and proportions to real life situations
Problem solving using involving application of rates , ratio , percentage and proportions
Chalkboard illustrations
Explore Mathematics Book 1Pg 104 -105
6 Rates, Ratio Percentages And Proportion
Problem solving
By the end of the lesson, the learner should be able to solve problems involving rates, ratios, proportions and percentages
Learners work out problems on this topic
Past paper questions
Explore Mathematics Book 1Pg 106 – 110
2 1 Length Units of length
By the end of the lesson, the learner should be able to state the units of measuring lengths
Reading units from various instruments of measuring length
Tape measure- Metre ruleRulers- Chalkboard illustrations
Explore Mathematics Book 1Pg 22
2 Length Conversion of units of measurements
By the end of the lesson, the learner should be able to convert units of
Problem solving using involving significant
Chalkboard illustrations
Explore Mathematics Book 1Pg 22 - 23
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1measurements from one form to another
figures
3 Length Significant figures
By the end of the lesson, the learner should be able to express numbers to required number of significant figures
Problem solving using significant figures
Chalkboard illustrations
Explore Mathematics Book 1Pg 23
4 Length Perimeters By the end of the lesson, the learner should be able to Define perimeterFind the perimeter of plane figures
Calculating perimeter of different plane figures
Models of cylinders and cubes
Explore Mathematics Book 1Pg 23-24Pg 118
5 Length Circumference and arcs
By the end of the lesson, the learner should be able to Calculate the circumference of a given circle and length of given arcs of a circle
Teacher/pupil discussion
Chart on a circleLength of an arc
Explore Mathematics Book 1Pg 117 - 118
6 Area Units of area By the end of the lesson, the learner should be able to Define areaState units of area
Teacher/pupil discussion
Chalkboard illustrations
Explore Mathematics Book 1Pg 120
3 1 Area Conversion of units of area
By the end of the lesson, the learner should be able to Convert one unit of area to another
Converting units from one form to another by calculation
Models of cylinder, cube and cone
Explore Mathematics Book 1Pg 121
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1form
2 Area Area of plane figures
By the end of the lesson, the learner should be able to calculateArea of rectanglesArea of parallelogramsArea of triangles
Problem solving using involving area of familiar plane figures
- Paper cuttings in various shapes- Chalkboard illustrations
Explore Mathematics Book 1Pg 122
3 Area Area of plane figures
By the end of the lesson, the learner should be able to calculate area of a trapeziumCalculate area of combined figures.
Matching figures to form others
Paper cuttings in various shapes
Explore Mathematics Book 1Pg 123
4 Area Area of irregular plane shapes
By the end of the lesson, the learner should be able to Estimate the area of irregular plane figures by counting of squares
Drawing irregular figures. Dividing them into equal squares. Counting squares
- Manila paper rules- Chalkboard illustrations
Explore Mathematics Book 1Pg 124
5 Area Surface area of solids
By the end of the lesson, the learner should be able to Calculate the surface area of cubes, cuboids and cylinders
Opening models of solids into their nets. Building up formula for the surface area
- Models of cubes cuboids and cylinders - Manila papers
Explore Mathematics Book 1Pg 175
6 Volume And
Units of volume
By the end of the lesson, the learner
Note taking by students
Models of cubes cuboids and
Explore Mathematics
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1Capacity should be able to
define volumecylinders Book 1
Pg 169
4 1 Volume Of Solids
Conversion of units of volume
By the end of the lesson, the learner should be able to state the units of volume
Problem solving using involving conversion of units e.g. CM3 to M3
Real life situationChalkboard illustrations
Explore Mathematics Book 1Pg 169
2 Volume Of Solids
Calculating volume
By the end of the lesson, the learner should be able to Convert units of volume from one form to another
Problem solving using involving volume
Chalkboard illustrations
Explore Mathematics Book 1Pg 170
3 Volume Of Solids
Units of capacity
By the end of the lesson, the learner should be able to Define capacityState the units of capacity
Teacher/pupil discussion
Chalkboard illustrations
Explore Mathematics Book 1Pg 170
4 Volume Of Solids
Conversion of units of capacity
By the end of the lesson, the learner should be able to Convert units of capacity from one form to another
Problem solving on unit conversion
Chalkboard illustrations
Explore Mathematics Book 1Pg 171
5 Volume Volume and capacity
By the end of the lesson, the learner should be able to Relate volume and capacitySolve problems involving volume and capacity
Problem solving using involving volume and capacity
Chalkboard illustrations
Explore Mathematics Book 1Pg 171
6 Mass, Mass and By the end of the Teacher/pupil Beam balance Explore
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1Density And Weight
units of mass lesson, the learner should be able to Define massState the units of mass
discussions Lactometre Mathematics Book 1Pg 24
5 1 Mass, Density And Weight
Mass volume and density
By the end of the lesson, the learner should be able to Define volumeDefine densityRelate mass and volume
Problem solving involving on volume and mass
Chalkboard illustrations
Explore Mathematics Book 1Pg 24
2 Mass, Density And Weight
Mass and weight
By the end of the lesson, the learner should be able to Distinguish mass and weight Relate volume, mass and weight
Teacher/pupil discussions
Chalkboard illustrations
Explore Mathematics Book 1Pg 24
3 Mass, Density And Weight
Problem solving
By the end of the lesson, the learner should be able to Solve problems on mass density and weight
Learners answer questions
Past paper questions
Explore Mathematics Book 1Pg 25
4 Time Units of time By the end of the lesson, the learner should be able to Convert units of time from one form to another
Learners answer questions
Chalkboard illustrations Clock
Explore Mathematics Book 1Pg 26
5 Time 12 and 24 hour systems
By the end of the lesson, the learner should be able to Relate the 12 and 24 hour systemConvert time
Reading paper with time tables
Manila papers with drawn time tables
Explore Mathematics Book 1Pg 26
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1from one system to another
6 Time Travel time tables
By the end of the lesson, the learner should be able to Read and interpret travel time tables
Reading paper with time tables
Chalkboard illustrations
Explore Mathematics Book 1Pg 26
6 1 Time Problem solving on travel time tables
By the end of the lesson, the learner should be able to Solve problems involving travel time tables
Learners answer questions
- Chalkboard illustrations - Time tables of buses
Explore Mathematics Book 1Pg 27
2 Linear Equations
Linear equations in one unknown
By the end of the lesson, the learner should be able to Solve equations in one unknown
Teacher/pupil discussions
Chalkboard illustrations
Explore Mathematics Book 1Pg 180
3 Linear Equations
Simultaneous equations by elimination method
By the end of the lesson, the learner should be able to Solve linear equations in two unknown by the elimination method
Teacher/pupil discussions
- Chalkboard illustrations - Chart illustrating elimination method
Explore Mathematics Book 1Pg 181
4 Linear Equations
Simultaneous equations by elimination method
By the end of the lesson, the learner should be able to Solve linear equations in two unknown by the substitution method
Teacher/pupil discussions
Chart illustrating substitution method
Explore Mathematics Book 1Pg 181
5 Linear Formulating By the end of the Formation and Chalkboard Explore
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1Equations equations lesson, the learner
should be able to form and solve equations in one unknown
solving equations
illustrations Mathematics Book 1Pg 182
6 Linear Equations
Formulating equations in two unknown
By the end of the lesson, the learner should be able to form and solve equations in two unknowns from given information
Teacher/pupil discussions
Chalkboard illustrations
Explore Mathematics Book 1Pg 182
7 1 Linear Equations
Problem solving
By the end of the lesson, the learner should be able to Solve problems in one and two unknowns
Teacher/pupil discussions
Past paper questions
Explore Mathematics Book 1Pg 182
2 Commercial Arithmetics
Currency By the end of the lesson, the learner should be able to State currencies of different countries
Learning through question answer method
Samples of currencies- Shillings- Dollar- Kwacha
Explore Mathematics Book 1Pg 144
3 Commercial Arithmetics
Currency exchange rates
By the end of the lesson, the learner should be able to convert currencies from one to another.
Converting currencies using the given currency rate
Conversion tables from newspapers
Explore Mathematics Book 1Pg 144 - 145
4 Commercial Arithmetics
Profit and loss By the end of the lesson, the learner should be able to Calculate profit and loss
Problem solving involving profit and loss
Chalkboard illustrations
Explore Mathematics Book 1Pg 141
5 Commercial Percentage By the end of the Problem Chalkboard Explore
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1Arithmetics profit and loss lesson, the learner
should be able to write profit or loss as percentage of the cost
solving involving percentage profit and loss
illustrations Mathematics Book 1Pg 142
6 Commercial Arithmetics
Discount and commissions
By the end of the lesson, the learner should be able to Calculate discount and commissions
Learners calculate discount and commissions
Real life situation
Explore Mathematics Book 1Pg 142
8 1 Commercial Arithmetics
Percentage discount and commissions
By the end of the lesson, the learner should be able to Express discount and commission as a percentage of the cost
Teacher/pupil discussions
Chalkboard illustrations
Explore Mathematics Book 1Pg 143
2 Commercial Arithmetics
Discount and commissions
By the end of the lesson, the learner should be able to Calculate percentage discounts and commissions
Teacher/pupil discussions
Chalkboard illustrations
Explore Mathematics Book 1Pg 144
3 Commercial Arithmetics
Problem solving
By the end of the lesson, the learner should be able to Solve problems on commercial arithmetic’s
Problem solving
Chalkboard illustrations
Explore Mathematics Book 1Pg 145 - 146
4 Co -Ordinates And Graphs
Cartesian plane
By the end of the lesson, the learner should be able to
Drawing the Cartesian plane
Ruler Chalkboard illustrations
Explore Mathematics Book 1
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1Draw and label the Cartesian plane
Cartesian plane Pg 52
5 Co-Ordinates And Graphs
Plotting points Reading points
By the end of the lesson, the learner should be able to Plot points on the Cartesian plane Locate points on the Cartesian plane
Learners plot points
RulersChalkboard illustrationsGraph papers
Explore Mathematics Book 1Pg 53 - 54
6 Co-Ordinates And Graphs
Identifying quadrants
By the end of the lesson, the learner should be able to Identify the four quadrants on the Cartesian plane.
Learners identify quadrants
Chalkboard illustrations Graph papers
Explore Mathematics Book 1Pg 55 - 56
9 1 Co-Ordinates And Graphs
Choice of scale
By the end of the lesson, the learner should be able to Use an appropriate scale to draw a Cartesian plane
Drawing the Cartesian plane with a given scale
- Rulers- Chalkboard illustrations - Graph papers
Explore Mathematics Book 1Pg 57
2 Co-Ordinates And Graphs
Tables of values
By the end of the lesson, the learner should be able to Make a table of values of a given linear equation
Making tables of values for a given linear equation
- Rulers - Pencils- Graph papers
Explore Mathematics Book 1Pg 57
3 Co-Ordinates And Graphs
Linear graphs By the end of the lesson, the learner should be able to Use the values tabulated to draw a linear graph
Drawing graphs from tabulated values
- Rulers - Graph papers
Explore Mathematics Book 1Pg 58
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 14 Co-
Ordinates And Graphs
Linear graphs By the end of the lesson, the learner should be able to Draw two graphs on the same Cartesian plane
Drawing graphs from tabulated values
- Rulers - Graph papers
Explore Mathematics Book 1Pg 58
5 Co-Ordinates And Graphs
Solving simultaneous Linear equations graphically
By the end of the lesson, the learner should be able to Solve simultaneous linear equations graphically
Teacher/pupil discussions
- Graph rules - Graph papers
Explore Mathematics Book 1Pg 58
6 Co-Ordinates And Graphs
Interpret graphs
By the end of the lesson, the learner should be able to Read and interpret a given graph
Reading and interpreting graphs
- Rulers - Graph papers
Explore Mathematics Book 1Pg 59
10 1 Co-Ordinates And Graphs
General graphs
By the end of the lesson, the learner should be able to plot general graph given tables of values
Teacher/pupil discussions
- Tables of values for general graphs - Graph papers
Explore Mathematics Book 1Pg 59
2 Co-Ordinates And Graphs
Interpret general graphs
By the end of the lesson, the learner should be able to interpret general graphs
Teacher/pupil discussions
- Graphs - Graph papers
Explore Mathematics Book 1Pg 59
3 Co-Ordinates And Graphs
Problem solving
By the end of the lesson, the learner should be able to Solve problems on coordinates and graphs
Problem solving
Past paper questions
Past papersquestions
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 14 Angles And
Plane Figures
Types of angles
By the end of the lesson, the learner should be able to Name and identify types of Angles
Learners answer questions
Chalkboard illustrations
Explore Mathematics Book 1Pg 61
5 Angles And Plane Figures
Angles on a straight line
By the end of the lesson, the learner should be able to Calculate Angles on a straight line
Learners answer questions
Chalkboard illustrations
Explore Mathematics Book 1Pg 62
6 Angles And Plane Figures
Angles at a point
By the end of the lesson, the learner should be able to Solve problems involving angles at a point
Naming angles. Calculating labeled angles
- Rulers - Chalkboard illustrations- Geometrical set
Explore Mathematics Book 1Pg 63
11 1 Angles And Plane Figures
Angles on a transversal
By the end of the lesson, the learner should be able to Solve angles on a transversal
Naming angles on a transversal. Calculating the angles
Chalkboard illustrations
Explore Mathematics Book 1Pg 64
2 Angles And Plane Figures
Corresponding angles
By the end of the lesson, the learner should be able to Solve problems involving corresponding angles
Naming the corresponding angles. Calculating angles
- Geometrical set - Chalkboard illustrations
Explore Mathematics Book 1Pg 65
3 Angles And Plane Figures
Angle property of polygons
By the end of the lesson, the learner should be able to Solve problems involving angle property of a polygon
Teacher/pupil discussions
Chalkboard illustrations
Explore Mathematics Book 1Pg 66
4 Angles And Sum of By the end of the Teacher/pupil Chalkboard Explore
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1Plane Figures
interior angles lesson, the learner should be able to Find the sum of interior angles of a polygon i.e. 180(n-2) where n is the number of sides
discussions illustrations Mathematics Book 1Pg 67
5 Angles And Plane Figures
Application to real life situation
By the end of the lesson, the learner should be able to Apply knowledge of angle property to real life situations
Teacher/pupil discussions
Real life situation
Explore Mathematics Book 1Pg 68 - 70
6 Angles And Plane Figures
Problem solving
By the end of the lesson, the learner should be able to solve problems on angles and plane figures.
Teacher/pupil discussions
Past paper questions
Explore Mathematics Book 1Pg 85 - 86
12 and 13
END TERM EXAMINATION
TERM 3WK PRD TOPIC SUB-TOPIC SPECIFIC
OBJECTIVESTEACHING/ LEARNING ACTIVITIES
TEACHING/ LEARNING RESOURCES
REFERENCES REMARKS
3 Geometric Construction
Use of a ruler and a pair of compass only
By the end of the lesson, the learner should be able to
Learners draw perpendicular lines
- Rulers- pair of compasses
Explore Mathematics Book 1
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1
1construct a perpendicular bisector of a line using a ruler and a pair of compass
Pg 197
4 Geometric Construction
Angle bisector By the end of the lesson, the learner should be able to use a ruler and a pair of compass only to construct an angle bisector
Learners draw angle bisectors
- Rulers- pair of compasses- Chart illustrating angle bisector
Explore Mathematics Book 1Pg 199
5 Geometric Construction
Perpendicular to a given line
By the end of the lesson, the learner should be able to construct a perpendicular line from a given point
Teacher/pupil discussion
- Rulers- pair of compasses
Explore Mathematics Book 1Pg 196
6 Geometric Construction
Perpendicular to a given line
By the end of the lesson, the learner should be able to use a ruler and a pair of compass only to construct angles whose values are multiples of 7½ 0
Teacher/pupil discussion
- Rulers- pair of compasses
Explore Mathematics Book 1Pg 200
2 1 Geometric Construction
Constructing angles
By the end of the lesson, the learner should be able to use a ruler and a pair of compass only to construct an angle bisector
Teacher/pupil discussion
- Rulers- pair of compasses
Explore Mathematics Book 1Pg 201
2 Geometric Construction
Constructing angles
By the end of the lesson, the learner should be able to
Teacher/pupil discussion
- Rulers- pair of compasses
Explore Mathematics Book 1
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1use a ruler and a pair of compass only to construct angles of 600 900 1350 1200
Pg 202
3 Geometric Construction
Construction of parallel lines
By the end of the lesson, the learner should be able to use a ruler and a pair of compass only to construct parallel lines
Teacher/pupil discussion
- Rulers- pair of compasses
Explore Mathematics Book 1Pg 203
4 Geometric Construction
Use of a ruler and a set square to construct parallel lines
By the end of the lesson, the learner should be able to use a ruler and a set square to construct parallel lines
Teacher demonstrations
- Rulers- Set squares
Explore Mathematics Book 1Pg 204
5 Geometric Construction
Construction using a ruler and a set square
By the end of the lesson, the learner should be able to use a ruler and a set square only to divide a line proportionally
Teacher demonstrations Learners do the construction
- Rulers- Set squares
Explore Mathematics Book 1Pg 204
6 Geometric Construction
Construction of perpendicular lines
By the end of the lesson, the learner should be able to use a ruler and a set square to construct perpendicular lines
Teacher demonstrations Learners do the construction
- Rulers- Set squares
Explore Mathematics Book 1Pg 205
3 1 Geometric Construction
Construction of a regular polygon
By the end of the lesson, the learner should be able to construct regular polygons using a ruler and a pair of
Teacher/pupil discussion
- Rulers- Pair of compass
Explore Mathematics Book 1Pg 204
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1compass only
2 Geometric Construction
Construction of regular polygons
By the end of the lesson, the learner should be able to construct regular polygons using a ruler, a pair of compass and a protractor
Teacher/pupil discussion
- Rulers- Pair of compass- Protractor
Explore Mathematics Book 1Pg 205
3 Geometric Construction
Construction of an irregular polygon
By the end of the lesson, the learner should be able to construct irregular polygons using a ruler, a pair of compass and a protractor
Teacher demonstrates how to construct polygons
- Rulers- Pair of compass- Protractor
Explore Mathematics Book 1Pg 205
4 Geometric Construction
Construction of irregular polygons
By the end of the lesson, the learner should be able to construct irregular polygons (of all sides) using a ruler, a pair of compass and a protractor
Learners construct irregular polygons
- Rulers- Pair of compass- Protractor
Explore Mathematics Book 1Pg 205
5 Geometric Construction
Problem solving By the end of the lesson, the learner should be able to solve problems on geometric constructions
Learners solve problems on geometric constructions
Past papers questions
Past papers
6 Scale Drawing
Types of scales By the end of the lesson, the learner should be able to interpret a given scale
Learners interpret scales
- Metre rule- Tape measureRuler
Explore Mathematics Book 1Pg 206
4 1 Scale Choice of scale By the end of the Learners choose Chalk board Explore
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1Drawing lesson, the learner
should be able to choose and use appropriate scale
on appropriate scale
illustrations Mathematics Book 1Pg 207
2 Scale Drawing
Sketches from given information
By the end of the lesson, the learner should be able to draw suitable sketches from given information
Teacher/pupil discussion
Rulers Explore Mathematics Book 1Pg 207
3 Scale Drawing
BearingTrue bearing Compass bearing
By the end of the lesson, the learner should be able to differentiate the two types of bearings i.e. True and compass bearing.
Teacher/pupil discussion
- Real life situations- Chalk board illustrations
Explore Mathematics Book 1Pg 221
4 Scale Drawing
Starting bearing By the end of the lesson, the learner should be able to state the bearing of one point from another
Learners state bearing
Chalk board illustrations
Explore Mathematics Book 1Pg 222
5 Scale Drawing
Locating points By the end of the lesson, the learner should be able to locate a point using bearing and distances
Learners locate points
Chalk board illustrations
Explore Mathematics Book 1Pg 223
6 Scale Drawing
Angles of elevation
By the end of the lesson, the learner should be able to Determine angles of elevation
Teacher/pupil discussion
Chalk board illustrations
Explore Mathematics Book 1Pg 214
5 1 Scale Drawing
Angle of depression
By the end of the lesson, the learner
Teacher/pupil discussion
Chalk board illustrations
Explore Mathematics
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1should be able to determine angles of depression
Book 1Pg 215
2 Scale Drawing
Solving problems
By the end of the lesson, the learner should be able to solve problems involving bearings, elevation and scale drawings
Question answer method
Past paper questions
Explore Mathematics Book 1Pg 216 -218
3 Scale Drawing
Surveying by Triangulation method
By the end of the lesson, the learner should be able to Survey an area by triangular method
Teacher/pupil discussion
Chart illustrating Triangulation method
Explore Mathematics Book 1Pg 227
4 Scale Drawing
Entering information in a field book
By the end of the lesson, the learner should be able to enter information in a field book
Teacher/pupil discussion
Chalk board illustrations
Explore Mathematics Book 1Pg 228
5 Scale Drawing
Area of irregular shapes
By the end of the lesson, the learner should be able to calculate the area of the irregular shapes
Learners calculate the area of irregular shape.
Chart illustrating area of irregular shapes
Explore Mathematics Book 1Pg 229
6 Scale Drawing
Problem solving By the end of the lesson, the learner should be able to solve problems on scale drawing
Learners answer questions
Chalk board illustrations
Explore Mathematics Book 1Pg 229
6 1 Common Solids
State common solids
By the end of the lesson, the learner should be able to identify common solids
Learners state the solids
- Cubes- Cuboids- Pyramid
s - Prisms
Cones- Spheres
Explore Mathematics Book 1Pg 43
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1- Cylinder
s2 Common
SolidsSketch solids By the end of the
lesson, the learner should be able to sketch common solids
Learners sketch the solids
- Cubes- Cuboids- Pyramid
s - Prisms
Cones- Spheres
Explore Mathematics Book 1Pg 44
3 Common Solids
Drawing nets By the end of the lesson, the learner should be able to draw nets of cubes cuboids, pyramids, prisms
Learners draw nets of cubes, cuboids, pyramids ,prism
- Cones Spheres- Cylinders- Manila paper
Explore Mathematics Book 1Pg 45
4 Common Solids
Nets of solids By the end of the lesson, the learner should be able to draw nets spheres cylinders and cones
Learners draw nets of spheres cylinders cones cubes
- Manila paper - Pair of Scissors- Mark pen glue
Explore Mathematics Book 1Pg 46
5 Common Solids
Making models of solids from nets
By the end of the lesson, the learner should be able to make models of cubes, cuboids, pyramids, prisms from nets
Learners make models of cubes, cuboids, pyramids and prism from nets
- Manila paper - Pair of Scissors- Mark pen glue
Explore Mathematics Book 1Pg 46
6 Common Solids
Making models of solids from nets
By the end of the lesson, the learner should be able to make models of cubes, cuboids, pyramids, prisms from nets
Learners make models of cones, spheres and cylinders
Nets of cubes And cuboids
Explore Mathematics Book 1Pg 47
7 1 Common Solids
Calculating surface area
By the end of the lesson, the learner should be able to
Learners calculate the surface area of
Nets of Cylinders and Prism
Explore Mathematics Book 1
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1calculate the surface area of cubes, cuboids from nets
cubes and cuboids
Pg 48
2 Common Solids
Calculating surface area
By the end of the lesson, the learner should be able to calculate the surface area of cylinder and prism from nets
Learners calculate the surface area of cylinders and prism
Nets of pyramids and Prism
Explore Mathematics Book 1Pg 49
3 Common Solids
Calculating surface area
By the end of the lesson, the learner should be able to calculate the surface area of pyramids from nets
Learners calculate the surface area of pyramids from nets
Nets of pyramids
Explore Mathematics Book 1Pg 48
4 Common Solids
Distance between two points on the surface of a solid
By the end of the lesson, the learner should be able to find distance between two points on a cube , cuboids, prism
Learners calculate distance
Nets of cubes, cuboids , prism
Explore Mathematics Book 1Pg 49
5 Common Solids
Distance between two points on the surface of cones cylinders pyramids
By the end of the lesson, the learner should be able to find distance between two points on a cone cylinder pyramid
Learners calculate distance
Nets of cone Cylinder and Pyramid
Explore Mathematics Book 1Pg 50
6 Common Solids
Problem solving By the end of the lesson, the learner should be able to solve problems on common solids
Learners solve problems
Cubes cuboids Cylinders
Explore Mathematics Book 1Pg 51 Past papers
8, 9 Revision
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING
LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1and 10 11, 12 and 13
END TERM EXAMINATION
LONGMAN KENYA, PUBLISHERS FOR LIFELONG LEARNING