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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 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



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


Chart to illustrate factorization (factor tree diagram


6 Factors Prime factors By the end of the lesson, the learner should be able to express numbers as a product of prime factors


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


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


- Multiplication tables - Chart to illustrate divisibility test


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


Charts to illustrate divisibility test


4 Greatest G.C.D of a set of By the end of the Teacher/pupil Containers of Explore


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


Strings of different sizes


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


- Bells that can ring at different intervals - Containers of different capacities


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


2 Integers Definition number line

By the end of the lesson, the learner should be able to define integers.Identify integers on the number


Thermometer ladder



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


Charts on the number line


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


Thermometer ladder


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


Real life situation


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.


Chart illustrating proper and improper fractions


7 1 Fractions Conversions By the end of the lesson, the learner should be


Chart illustrating conversions

Explore Mathematics Book 1


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.


Charts illustrating equivalent fractions


3 Fractions Operation on fractions

By the end of the lesson, the learner should be able to perform the four basic operations on fractions


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


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





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


Charts illustrating the conversion


8 1 Decimals Recurring decimals

By the end of the lesson, the learner should be able to convert recurring decimals into fractions


Charts illustrating recurring decimals


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


Charts illustrating on decimal places


3 Decimals Standard form By the end of the lesson, the learner should be able towrite numbers in standard form


Chalkboard illustrations


4 Decimals Operation on decimals

By the end of the lesson, the learner should be


Charts illustrating operation on



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




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




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



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



3 Squares and Squares from By the end of the Teacher/pupil Math’s tables Explore


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


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


Charts illustrating the factor method



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.





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



10 1 Algebraic Expressions

Letters for numbers

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





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




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




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



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.




LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1bracket on values inside the bracket.


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



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




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



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




LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1Algebraic 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



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



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




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



2 Rates, Ratio Percentages And

Comparing ratios By the end of the lesson, the learner should be

Problem solving on ratio - comparison




LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1Proportion able to

compare two or more ratios

Pg 102 – 103


proportions By the end of the lesson, the learner should be able to represent and interpret proportional parts





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





Solving problems on proportions

By the end of the lesson, the learner should be able to solve problems involving direct and inverse proportions



Explore Mathematics Book 1 Pg 106 – 107


Fractions and decimals as percentages

By the end of the lesson, the learner should be able to convert fractions and decimals





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


REFERENCES REMARKS

3 Rates, Ratio Percentages By the end of the Problem Chalkboard Explore


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


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




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




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


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


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




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



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


Chart on a circleLength of an arc


6 Area Units of area By the end of the lesson, the learner should be able to Define areaState units of area




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



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


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


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


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


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 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


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



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




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



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



6 Mass, Mass and By the end of the Teacher/pupil Beam balance Explore


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



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



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




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


Chalkboard illustrations Clock


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



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



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


- Chalkboard illustrations - Time tables of buses


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




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


- Chalkboard illustrations - Chart illustrating elimination method


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


Chart illustrating substitution method


5 Linear Formulating By the end of the Formation and Chalkboard Explore


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




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




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



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



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



5 Commercial Percentage By the end of the Problem Chalkboard Explore


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



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


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





Discount and commissions

By the end of the lesson, the learner should be able to Calculate percentage discounts and commissions





Problem solving

By the end of the lesson, the learner should be able to Solve problems on commercial arithmetic’s

Problem solving



4 Co -Ordinates And Graphs

Cartesian plane


Drawing the Cartesian plane

Ruler Chalkboard illustrations



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



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


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



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



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



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




Solving simultaneous Linear equations graphically

By the end of the lesson, the learner should be able to Solve simultaneous linear equations graphically


- Graph rules - Graph papers



Interpret graphs

By the end of the lesson, the learner should be able to Read and interpret a given graph

Reading and interpreting graphs



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


- Tables of values for general graphs - Graph papers



Interpret general graphs

By the end of the lesson, the learner should be able to interpret general graphs


- Graphs - Graph papers



Problem solving

By the end of the lesson, the learner should be able to Solve problems on coordinates and graphs

Problem solving


Past papersquestions


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




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





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


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




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



Angle property of polygons

By the end of the lesson, the learner should be able to Solve problems involving angle property of a polygon




4 Angles And Sum of By the end of the Teacher/pupil Chalkboard Explore


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


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


Real life situation



Problem solving

By the end of the lesson, the learner should be able to solve problems on angles and plane figures.




12 and 13

END TERM EXAMINATION

TERM 3WK PRD TOPIC SUB-TOPIC SPECIFIC

OBJECTIVESTEACHING/ LEARNING ACTIVITIES


REFERENCES REMARKS

3 Geometric Construction

Use of a ruler and a pair of compass only


Learners draw perpendicular lines

- Rulers- pair of compasses



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


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



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





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




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





Constructing angles






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


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





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



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




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



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


- Rulers- Pair of compass



LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1compass only


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


- Rulers- Pair of compass- Protractor



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




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




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


4 1 Scale Choice of scale By the end of the Learners choose Chalk board Explore


LONGMAN KENYA MATHEMATICS SCHEMES OF WORK FOR FORM 1Drawing lesson, the learner

should be able to choose and use appropriate scale

on appropriate scale


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


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.


- Real life situations- Chalk board illustrations


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


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



6 Scale Drawing

Angles of elevation

By the end of the lesson, the learner should be able to Determine angles of elevation




5 1 Scale Drawing

Angle of depression

By the end of the lesson, the learner



Explore Mathematics


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



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


Chart illustrating Triangulation method


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




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


6 Scale Drawing

Problem solving By the end of the lesson, the learner should be able to solve problems on scale drawing




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



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


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


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


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


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


7 1 Common Solids

Calculating surface area


Learners calculate the surface area of

Nets of Cylinders and Prism



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


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


3 Common Solids


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


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


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


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 MATHEMATICS SCHEMES OF WORK FOR FORM 1and 10 11, 12 and 13

END TERM EXAMINATION


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