CLASS 7 MATHEMATICS SCHEMES OF WORK TERM 1-3 UPDATED FREE

Mathematics schemes of work for standard __7____TERM___1____YEAR________

WEEKLESSONTOPICSUB-TOPICOBJECTIVESLEANING/ TEACHING ACTIVITIESLEARNING/ TEACHING RESOURCESREFERENCES 
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1PRE-NUMBERS  Place valueBy the end of the lesson the learner should be able to identify the place value of a given numbers

 

-Grouping

– Explanation

-Working out

-demonstration

-Discussion

-Objects like tins, books, pencils, cups, pictures, etc

-place value chart

PM PB7 Pg2

TG 7Pg1

NPM PB7 Pg3

TG b7Pg2

 
2 Total valueBy the end of the lesson the learner should be able to identify total value of a given number-Grouping objects

– arranging

-Labelling and matching objects according to common features.

place value chartPM PB7 Pg4

TG 7Pg3

NPM PB7 Pg6

TG b7Pg4

 
3 Reading numbersBy the end of the lesson the learner should be able to read and write numbers in words and in symbols — Explanation

-Working out

-demonstration

-reading

place value chartPM PB7 Pg7

TG 7Pg4

NPM PB7 Pg8

TG b7Pg5

 
4 Writing numbersBy the end of the lesson the learner should be able to read and write numbers in words and in symbols — Explanation

-Working out

-demonstration

-writing

place value chart+PM PB7 Pg7

TG 7Pg4

NPM PB7 Pg8

TG b7Pg4

 
5 Squares of  numbersBy the end of the lesson the learner should be able to work out squares of numbers

 

– Explanation

-Working out

-demonstration

-Discussion

Rectangles, circles, triangles

of different sizes and

colours

 

PM PB7 Pg8

TG 7Pg5

NPM PB7 Pg8

TG b7Pg5

 
6 Square roots of numbersBy the end of the lesson the learner should be able to workout the square root of numbers

 

– Explanation

-Working out

-demonstration

-Discussion

Rectangles, circles, triangles

of different sizes and

colours

 

PM PB7 Pg8

TG 7Pg5

NPM PB7 Pg9

TG b7Pg6

 
7 Square and square root of numbersBy the end of the lesson the learner should be able to work out square numbers and square root of perfect squares

 

– Explanation

-Working out

-demonstration

-Discussion

Objects like  tins, books, bottles, pictures, of different size

 

PM PB7 Pg8

TG 7Pg5

NPM PB7 Pg8

TG b7Pg5

 
 
31 Divisibility test for 11By the end of the lesson the learner should be able to determine numbers divisible by eleven– Explanation

-Working out

-demonstration

-Divide

Objects like  tins, books, bottles, pictures, of different sizePM PB7 Pg7

TG 7Pg7

NPM PB7 Pg8

TG b7Pg5

 
2 Divisibility testBy the end of the lesson the learner should be able to work out a problem involving divisibility test of eleven

 

– Explanation

-Working out

-demonstration

-Divide

Objects that have smooth or rough texture like wood,

paper, glass, soil, mirror,

leaves, etc.

PM PB7 Pg7

TG 7Pg6

NPM PB7 Pg8

TG b7Pg6

 
3Fractions Square of fractionsBy the end of the lesson the learner should be able to work out square of fraction

 

•  Identifying

•  Matching

• Comparing- Explanation

-Working out

-demonstration

-Discussion

Objects that have smooth or rough texture like wood,

paper, glass, soil, mirror,

Leaves, etc.

PM PB7 Pg10

TG 7Pg8

NPM PB7 Pg12

TG b7Pg 7

 
4 Square root of fractionsBy the end of the lesson the learner should be able to workout square root of a fraction– Explanation

-Working out

-demonstration

-Discussion

ChartPM PB7 Pg11

TG 7Pg

NPM PB7 Pg12

TG b7Pg7

 
5 Perfect squaresBy the end of the lesson the learner should be able to work out squawroot of fraction involving perfect squares– Explanation

-Working out

-demonstration

-Discussion

ChartPM PB7 Pg11

TG 7Pg

NPM PB7 Pg12

TG b7Pg8

 
6DecimalsPlace valueBy the end of the lesson the learner should be able to identify place value of digits in decimals– Explanation

-Working out

-demonstration

-Discussion

place value chartPM PB7 Pg12

TG 7Pg9

NPM PB7 Pg14

TG b7Pg11

 
7 Total valueBy the end of the lesson the learner should be able to identify total  value of digits in decimals– Explanation

-Working out

-demonstration

-Discussion

place value chartPM PB7 Pg12

TG 7Pg

NPM PB7 16Pg14

TG b7Pg

 
41 Conversion of decimal to fractionBy the end of the lesson the learner should be able to convert non-recurring decimal to fraction– Explanation

-Working out

-demonstration

-Conversion

place value chartPM PB7 Pg15

TG 7Pg

NPM PB7 Pg18

TG b7Pg

 
2  By the end of the lesson the learner should be able to convert fraction to  decimal

 

– Explanation

-Working out

-demonstration

-Discussion

place value chartPM PB7 Pg17

TG 7Pg13

NPM PB7 Pg

TG b7Pg20

 
3  By the end of the lesson the learner should be able to convert fraction to  decimal involving non-recurring and recurring decimals

 

– Explanation

-Working out

-demonstration

-Discussion

place value chartPM PB7 Pg22

TG 7Pg

NPM PB7 Pg32

TG b7Pg22

 
4  By the end of the lesson the learner should be able to work out  square of decimals

 

– Explanation

-Working out

-demonstration

-Discussion

place value chartPM PB7 Pg25

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
5  By the end of the lesson the learner should be able to work out square root of decimals involving perfect squares

 

– Explanation

-Working out

-demonstration

-Discussion

place value chartPM PB7 Pg30

TG 7Pg

NPM PB7 Pg34

TG b7Pg

 
6PercentagesConversionBy the end of the lesson the learner should be able to convert percentage into fraction

 

– Explanation

-Conversion

-demonstration

-Discussion

Conversion chart

Chalk board layout

PM PB7 Pg34

TG 7Pg27

NPM PB7 Pg35

TG b7Pg

 
7  By the end of the lesson the learner should be able to convert fraction into percentage.– Explanation

-Working out

-demonstration

-Discussion

Multiplication tablePM PB7 Pg37

TG 7Pg27

NPM PB7 Pg38

TG b7Pg

 
51  By the end of this topic, the

pupils should be convert decimal into percentage

 

– Explanation

-Working out

-demonstration

-Discussion

Multiplication tablePM PB7 Pg40

TG 7Pg

NPM PB7 Pg45

TG b7Pg

 
2  By the end of this topic, the

pupils should be able to convert percentage into decimals

 

– Explanation

-Working out

-demonstration

-Discussion

Multiplication tablePM PB7 Pg42

TG 7Pg32

NPM PB7 Pg

TG b7Pg

 
3OPERATIONWhole numbers

Addition

By the end of this topic, the

pupils should be able to add whole numbers by whole numbers correctly

 

– Explanation

-Addition

-demonstration

-Discussion

Multiplication tablePM PB7 Pg42

TG 7Pg32

NPM PB7 Pg46

TG b7Pg36

 
4 subtractionBy the end of this topic, the

pupils should be able to subtract whole numbers by whole numbers correctly

 

– Explanation

-Subtraction

-demonstration

-Discussion

Multiplication tablePM PB7 Pg41

TG 7Pg33

NPM PB7 Pg47

TG b7Pg

 
5 MultiplicationBy the end of this topic, the

pupils should be able to multiply whole number by whole numbers correctly

 

– Explanation

-Multiplication

-demonstration

-Discussion

Multiplication tablePM PB7 Pg41

TG 7Pg

NPM PB7 Pg47

TG b7Pg36

 
6 DivisionBy the end of this topic, the

pupils should be able to divide whole numbers by up to 3-digit numbers

 

– Explanation

-Division

-demonstration

-Discussion

Multiplication tablePM PB7 Pg42

TG 7Pg33

NPM PB7 Pg48

TG b7Pg36

 
7 Mixed exerciseBy the end of the lesson the learner should be able to do a revision exercise on the work covered.– Explanation

-Working out

-demonstration

-Discussion

Multiplication tablePM PB7 Pg42

TG 7Pg33

NPM PB7 Pg

TG b7Pg

 
61 Combined operationBy the end of this topic, the

pupils should be able to work out problems involving combined operation in whole numbers

 

– Explanation

-Working out

-demonstration

-Discussion

Multiplication tablePM PB7 Pg43

TG 7Pg34

NPM PB7 Pg

TG b7Pg38

 
2 Number sequenceBy the end of this topic, the

pupils should be able to recognize and identify  number sequence involving whole numbers

 

– Explanation

-addition

-demonstration

-Discussion

Multiplication tablePM PB7 Pg43

TG 7Pg33

NPM PB7 48Pg48

TG b7Pg

 
3FractionAdditionBy the end of this topic, the

pupils should be able to work out addition of fraction by fraction

 

– Explanation

-Working out

-demonstration

-Discussion

Place value tablePM PB7 Pg32-43

TG 7Pg23

NPM PB7 Pg

TG b7Pg22

 
4 SubtractionBy the end of this topic, the

pupils should be able to work out subtraction of fraction by fraction

 

– Explanation

-Working out

-demonstration

-Discussion

Chalkboard layoutPM PB7 Pg38

TG 7Pg

NPM PB7 Pg36

TG b7Pg

 
5 MultiplicationBy the end of this topic, the

pupils should be able to work out multiplication of fraction by fraction

 

– Explanation

-Working out

-Multiplication

-Discussion

Place value tablePM PB7 Pg37

TG 7Pg

NPM PB7 Pg38

TG b7Pg29

 
6 DivisionBy the end of this topic, the

pupils should be able to work out division of fraction by fraction

 

– Explanation

-Working out

-demonstration

-Division

Chalkboard layoutPM PB7 Pg42

TG 7Pg

NPM PB7 Pg42

TG b7Pg29

 
7 Combined operationBy the end of this topic, the

pupils should be able to work out combined operation involving fraction

 

– Explanation

-Working out

-demonstration

-Discussion

Place value tablePM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
81 Number sequenceBy the end of this topic, the

pupils should be able to work out number sequence involving  fraction

 

– Explanation

-Working out

-demonstration

-Discussion

Chalkboard layoutPM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
2 RevisionBy the end of the lesson the learner should be able to do a revision exercise on the work covered.– Explanation

-Working out

-demonstration

-revision

Place value tablePM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
3DecimalsAdditionBy the end of the lesson the learner should be able to work out addition involving decimal and decimals

 

– Explanation

-Working out

-demonstration

-Discussion

Place value tablePM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
4 SubtractionBy the end of the lesson the learner should be able to work out subtraction involving decimal and decimals– Explanation

-subtraction

-demonstration

-Discussion

Chalkboard layoutPM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
5 MultiplicationBy the end of the lesson the learner should be able to work out multiplication involving decimal and decimals – Explanation

-multiplication

-demonstration

-Discussion

Place value tablePM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
6 DivisionBy the end of the lesson the learner should be able to work out division  involving decimal and decimals – Explanation

-dividing

-demonstration

-Discussion

Chalkboard layoutPM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
7  By the end of the lesson the learner should be able to work out combined operation involving decimal – Explanation

-Working out

-demonstration

-Discussion

Place value tablePM PB7 Pg33

TG 7Pg24

NPM PB7 Pg34

TG b7Pg

 

 

 

 

WEEKLESSONTOPICSUB-TOPICOBJECTIVESLEANING/ TEACHING ACTIVITIESLEARNING/ TEACHING RESOURCESREFERENCES 
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1Percentage Percentage increaseBy the end of the lesson the learner should be able to work out problems involving percentage increase

 

— Explanation

-Working out

-demonstration

-Discussion

-Objects like tins, books, pencils, cups, pictures, etcPM PB7 Pg37

TG 7Pg26

NPM PB7 Pg36

TG b7Pg37

 
2 Percentage decreaseBy the end of the lesson the learner should be able to work out problems involving percentage decrease

 

– Explanation

-Working out

-demonstration

-Discussion

-Objects like tins, -books, pencils, -cups, pictures, etcPM PB7 Pg38

TG 7Pg

NPM PB7 Pg43

TG b7Pg26

 
3MeasurementsDecimetreBy the end of the lesson the learner should be able to recognize and identify decimetre (dm) as a unit of measuring length – Explanation

-Working out

-Drawing

-Discussion

-measuring

Coloured Manila cards

(squares, triangles,  circles),

books, beads,

PM PB7 Pg37

TG 7Pg26

NPM PB7 Pg

TG b7Pg

 
4 DecametreBy the end of the lesson the learner should be able to recognize and identify decametre (Dm) as a unit of measuring length-Identifying Explanation

-Working out

-Drawing

-Discussion

measuring

Coloured Manila cards

(squares, triangles,  circles),

books, beads,

PM PB7 Pg43

TG 7Pg30

NPM PB7 Pg43

TG b7Pg45

 
5 HectometreBy the end of the lesson the learner should be able to recognize and identify hectometre (hm) as a unit of measuring lengthIdentifying

Explanation

-Working out

-Drawing

-Discussion

Rectangles, circles, triangles

of different sizes and

colours

 

PM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
3-6 Converting units of measurementBy the end of the lesson the learner should be able to convert units of measurement from one to another

 

Explanation

-Working out

-Drawing

-Discussion

measurement

Rectangles, circles, triangles

of different sizes and

colours

PM PB7 Pg37

TG 7Pg32

NPM PB7 Pg43

TG b7Pg

 
7 PerimeterBy the end of the lesson the learner should be able to work out perimeter involving circles

 

Explanation

-Working out

-Drawing

-Discussion

Objects like  tins, books, bottles, pictures, of different size

 

PM PB7 Pg45

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
 
111 Perimeter of triangleBy the end of the lesson the learner should be able to work out perimeter involving triangles Explanation

-Working out

-Drawing

-Discussion

Objects like  tins, books, bottles, pictures, of different sizePM PB7 Pg45

TG 7Pg

NPM PB7 Pg44

TG b7Pg

 
2  By the end of the lesson the learner should be able to work out perimeter involving quadrilateral

 

•  Identifying the texture of an Explanation

-Working out

-Drawing

-Discussion •  Matching objects according

Objects that have smooth or rough texture like wood,

paper, glass, soil, mirror,

leaves, etc.

PM PB7 Pg47

TG 7Pg

NPM PB7 Pg43

TG b7Pg34

 
3  By the end of the lesson the learner should be able to work out problems involving units of length in real life

 

Explanation

-Working out

-Drawing

-Discussion

Objects that have smooth or rough texture like wood,

paper, glass, soil, mirror,

Leaves, etc.

PM PB7 Pg34

TG 7Pg

NPM PB7 Pg

TG b7Pg48

 
4 AreaBy the end of the lesson the learner should be able to workout the area of a circle Explanation

-Working out

-Drawing

-Discussion

Rectangles, circles, triangles

of different sizes and

colours

 

PM PB7 Pg48

TG 7Pg

NPM PB7 49Pg47

TG b7Pg

 
5  By the end of the lesson the learner should be able to work out problems involving area of a circle  using the formulaeExplanation

-Working out

-Drawing

-Discussion

 PM PB7 Pg49

TG 7Pg345

NPM PB7 Pg54

TG b7Pg

 
6 TrapeziumBy the end of the lesson the learner should be able to  calculate the area of the of a trapeziumExplanation

-Working out

-Answering

-Discussion

 PM PB7 Pg52

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
7 ParallelogramBy the end of the lesson the learner should be able to calculate the area  of parallelogramsExplanation

-Working out

-Answering

-Discussion

 PM PB7 Pg56

TG 7Pg45

NPM PB7 Pg

TG b7Pg

 
121 Area of a borderBy the end of the lesson the learner should be able to work out problems involving area of a borderExplanation

-Working out

-Answering

-Discussion

 PM PB7 Pg99-110

TG 7Pg67-77

NPM PB7 Pg107-114

TG b7Pg70-75

 
2 Combined shapeBy the end of the lesson the learner should be able to work out problems involving area combined shapeExplanation

-Working out

-Answering

-Discussion

 PM PB7 Pg99-110

TG 7Pg67-77

NPM PB7 Pg107-114

TG b7Pg70-75

 
3 Surface area of cuboidsBy the end of the lesson the learner should be able to work out problems involving surface area of cuboidsExplanation

-Working out

-Answering

-Discussion

 PM PB7 Pg99-110

TG 7Pg67-77

NPM PB7 Pg107-114

TG b7Pg70-75

 
4 Surface area of cylinderBy the end of the lesson the learner should be able to work out problems involving surface area of cylinders Explanation

-Working out

-Answering

-Discussion

 PM PB7 Pg99-110

TG 7Pg67-77

NPM PB7 Pg107-114

TG b7Pg70-75

 
5 Revisions By the end of the lesson the learner should be able to do a revision exercise on the work covered.Explanation

-Working out

-Answering

Revision

 PM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
6 Revisions By the end of the lesson the learner should be able to do a revision exercise on the work covered.Explanation

-Working out

-Answering

Revision

 PM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
7 Revisions By the end of the lesson the learner should be able to do a revision exercise on the work covered.Explanation

-Working out

-Answering

Revision

 PM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
131Revisions Revisions By the end of this topic, the

pupils should be able to revise and answer question of the work covered in the term

 

Explanation

-Working out

-Answering

Revision

 PM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
2       
3       
4       
5       
6       
7       
141Examinations By the end of this topic, the

pupils should be able to revise and answer question of the work

Explanation

-Working out

-Answering

 

 PM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
2       
3       
4       
5       
6       
7       

 

Mathematic schemes of work for standard __7____TERM___2____YEAR________

 

WEEKLESSONTOPICSUB-TOPICOBJECTIVESLEANING/ TEACHING ACTIVITIESLEARNING/ TEACHING RESOURCESREFERENCES 
1

 

 

 

 

 

 

 

 

 

2

1Volume   Cross sectionBy the end of the lesson the learner should be able to identify the cross-section are of a regular solid

 

Explanation

Explanation

-Working out

-Answering

-calculating

-Objects like tins, books, pencils, cups, pictures, etcPM PB7 Pg1102-122

TG 7Pg70-80

NPM PB7 100Pg120

TG b7Pg76-79

 
2 Volume of cubesBy the end of the lesson the learner should be able to work out volume of cubes -Working out

Explanation

-Answering

-calculating

-measuring ring

-Objects like tins, -books, pencils, -cups, pictures, etcPM PB7 Pg1102-122

TG 7Pg70-80

NPM PB7 100Pg120

TG b7Pg76-79

 
3 Volume of cuboidsBy the end of the lesson the learner should be able to work out volume of cuboidsExplanation

Measuring

Working out

Coloured Manila cards

(squares, triangles,  circles),

books, beads,

PM PB7 Pg1102-122

TG 7Pg70-80

NPM PB7 100Pg120

TG b7Pg76-79

 
4  By the end of the lesson the learner should be able to work out volume of cylinder through pilling -Working outColoured Manila cards

(squares, triangles,  circles),

books, beads,

PM PB7 Pg1102-122

TG 7Pg70-80

NPM PB7 100Pg120

TG b7Pg76-79

 
5  By the end of the lesson the learner should be able to work out volume of cylinder using the formulaeExplanation

-Working out

-Answering

-calculating

-measuring

Rectangles, circles, triangles

of different sizes and

colours

 

PM PB7 Pg1102-122

TG 7Pg70-80

NPM PB7 100Pg120

TG b7Pg76-79

 
6 CapacityBy the end of the lesson the learner should be able to workout problems involving capacity of cubes

 

Explanation

-Working out

-Answering

-calculating

-measuring

Rectangles, circles, triangles

of different sizes and

colours

 

PM PB7 Pg1102-122

TG 7Pg70-80

NPM PB7 100Pg120

TG b7Pg76-79

 
7 Capacity of cuboidsBy the end of the lesson the learner should be able to workout problems involving capacity of cuboids

 

Identifying sizes of objects.

group objects according to size

Matching objects according to size

Objects like  tins, books, bottles, pictures, of different size

 

PM PB7 Pg1102-122

TG 7Pg70-80

NPM PB7 100Pg120

TG b7Pg76-79

 
 
31 Capacity cylinderBy the end of the lesson the learner should be able to workout problems involving capacity of cylinders

 

Explanation

-Working out

-Answering

-calculating

-measuring

Objects like  tins, books, bottles, pictures, of different sizePM PB7 Pg1102-122

TG 7Pg70-80

NPM PB7 100Pg120

TG b7Pg76-79

 
2 Capacity and volumeBy the end of the lesson the learner should be able to recognize and identify the relationship between capacity and volume

 

Explanation

-Working out

-Answering

-calculating

-measuring

Objects that have smooth or rough texture like wood,

paper, glass, soil, mirror,

leaves, etc.

PM PB7 Pg1102-122

TG 7Pg70-80

NPM PB7 100Pg120

TG b7Pg76-79

 
3Mass Mass in

Grams

By the end of the lesson the learner should be able to workout problems involving mass in grams

 

•  Explanation

-Working out

-Answering

-calculating

-measuring

Objects that have smooth or rough texture like wood,

paper, glass, soil, mirror,

Leaves, etc.

 

PM PB7 Pg1102-122

TG 7Pg70-80

NPM PB7 100Pg120

TG b7Pg76-79

 
4 KilogramsBy the end of the lesson the learner should be able to workout problems involving mass in kilograms

 

Explanation

-Working out

-Answering

-calculating

-measuring

Travel tablesPM PB7 Pg1102-122

TG 7Pg70-80

NPM PB7 100Pg120

TG b7Pg76-79

 
5 TonnesBy the end of the lesson the learner should be able to workout problems involving mass in tonnes

 

Explanation

-Working out

-Answering

-calculating

-measuring

Travel tablesPM PB7 Pg1102-122

TG 7Pg70-80

NPM PB7 100Pg120

TG b7Pg76-79

 
6MoneyDiscountBy the end of the lesson the learner should be able to workout problems involving discounts

 

Explanation

-Working out

-Answering

-calculating

Travel tablesPM PB7 Pg1102-122

TG 7Pg70-80

NPM PB7 100Pg120

TG b7Pg76-79

 
7 Percentage discountBy the end of the lesson the learner should be able to workout problems involving percentage discount

 

Explanation

-Working out

-Answering

-calculating

ScalePM PB7 Pg1102-122

TG 7Pg70-80

NPM PB7 100Pg120

TG b7Pg76-79

 
41 CommissionBy the end of the lesson the learner should be able to workout problems involving commission  Explanation

-Working out

-Answering

-calculating

 PM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
2 Percentage commissionBy the end of the lesson the learner should be able to workout problems involving percentage commission

 

Explanation

-Working out

-Answering

-calculating

Multiplication tablePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
3 Simple interestBy the end of the lesson the learner should be able to workout problems involving simple interest

 

Explanation

-Working out

-Answering

-calculating

Multiplication tablePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
4 Simple interestBy the end of the lesson the learner should be able to workout problems involving simple interest

 

Explanation

-Working out

-Answering

-calculating

Multiplication tablePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
5 Hire purchaseBy the end of the lesson the learner should be able to workout problems involving hire purchase

 

Explanation

-Working out

-Answering

-calculating

Multiplication tablePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
6 Hire purchaseBy the end of the lesson the learner should be able to workout problems involving hire purchase

 

Explanation

-Working out

-Answering

-calculating

Multiplication tablePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
7 billsBy the end of the lesson the learner should be able to workout problems involving bills in buying and selling

 

Explanation

-Working out

-Answering

-calculating

Multiplication tablePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
51 BillsBy the end of the lesson the learner should be able to workout problems involving bills in buying and selling

 

Explanation

-Working out

-Answering

-Discussion

Demonstration

Multiplication table

Bill

PM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
2Postal chargesInland postal chargesBy the end of the lesson the learner should be able to workout problems involving inland postal charges

 

Explanation

-Working out

-Answering

-Discussion

Demonstration

Multiplication table

Postal order

PM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
3 International postal chargesBy the end of the lesson the learner should be able to workout problems involving international postal charges

 

Explanation

-Working out

-Answering

-Discussion

Demonstration

Multiplication tablePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
4 International postal chargesBy the end of the lesson the learner should be able to workout problems involving international postal charges

 

Explanation

-Working out

-Answering

-Discussion

Demonstration

Multiplication tablePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
5 Money orderBy the end of the lesson the learner should be able to workout problems involving money order

 

Explanation

-Working out

-Answering

-Discussion

Demonstration

Multiplication table

Money order

PM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
6 Postal ordersBy the end of the lesson the learner should be able to workout problems involving postal orders

 

Explanation

-Working out

-Answering

-Discussion

Demonstration

Multiplication tablePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
7 TelegramBy the end of the lesson the learner should be able to write a telegram

 

Explanation

-Working out

-Answering

-Discussion

Demonstration

Multiplication tablePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
61 TelegramBy the end of the lesson the learner should be able to workout problems involving telegrams

 

Explanation

-Working out

-Answering

-Discussion

Demonstration

Multiplication table

telegram

PM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
2Time and speedTimeBy the end of the lesson the learner should be able to workout problems involving time

 

Explanation

-Working out

-Answering

-Discussion

Demonstration

Multiplication tablePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
3 Air flightBy the end of the lesson the learner should be able to workout problems involving air flight

 

Explanation

-Working out

-Answering

-Discussion

Demonstration

Multiplication table

Travel tables

PM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
4 Fare tablesBy the end of the lesson the learner should be able to workout problems involving bus fare tables

 

Explanation

-Working out

-Answering

-Discussion

Demonstration

Multiplication table

Travel tables

PM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
5 Fare tablesBy the end of the lesson the learner should be able to workout problems involving train fare ,time and distance tables

 

Explanation

-Working out

-Answering

-Discussion

Demonstration

Multiplication table

Travel tables

PM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
6  By the end of the lesson the learner should be able to workout problems involving converting units of speed

 

Explanation

-Working out

-Answering

-Discussion

conversion

Multiplication tablePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
7TConversionBy the end of the lesson the learner should be able to workout problems involving converting units of speed

 

Explanation

-Working out

-Answering

-Discussion

conversion

Multiplication tablePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
81TemperatureDirect comparisonBy the end of this topic, the

pupils should be able to compare temperature using hotter, warmer, colder and same as

 

Comparing

-Answering

-Discussion

Demonstration

Multiplication table

thermometer

PM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
2  By the end of the lesson the learner should be able to do a revision exercise on the work covered.Explanation

-Working out

-Answering

-Discussion

Demonstration

Multiplication tablePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
3 Degree Celsius (oC)By the end of the lesson the learner should be able to recognise and identify degree Celsius as a unit of measuring temperature

 

Explanation

-Working out

-Answering

-Discussion

Demonstration

Multiplication tablePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
4Geometry Parallel lineBy the end of the lesson the learner should be able to recognize and identify angles properties of parallel lineExplanation

-Working out

-Construction

-Discussion

Demonstration

Multiplication table

Wood cutting

PM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg36-45

 
5  By the end of the lesson the learner should be able to recognize and identify angles properties of quadrilateral Explanation

-Working out

-Construction

-Discussion

Demonstration

Multiplication tablePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg 36-45

 
6 TransversalBy the end of the lesson the learner should be able to work out division  involving angle properties of a parallel lines  Explanation

-Working out

-Construction

-Discussion

Demonstration

Multiplication table

Drawing on a chart

PM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg 36-45

 
7  By the end of the lesson the learner should be able to construct  a right angled triangle using a ruler and a pair of compasses Explanation

-Working out

-Construction

-Discussion

Demonstration

Multiplication tablePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg 36-45

 

 

 

 

WEEKLESSONTOPICSUB-TOPICOBJECTIVESLEANING/ TEACHING ACTIVITIESLEARNING/ TEACHING RESOURCESREFERENCES 
9

 

 

 

 

 

 

 

 

 

10

1Percentage Construction of triangleBy the end of the lesson the learner should be able to construct  an isosceles triangle using a ruler and a pair of compasses – Explanation

-Working out

-Construction

-Discussion

Demonstration

-Objects like tins, books, pencils, cups, pictures, etcPM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg 36-45

 
2 Construction of triangleBy the end of the lesson the learner should be able to construct  a equilateral triangle using a ruler and a pair of compasses Explanation

-Working out

-Construction

-Discussion

Demonstration

-Objects like tins, -books, pencils, -cups, pictures, etcPM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg 36-45

 
3 CircumscribeBy the end of the lesson the learner should be able to construct  a circles passing through vertices using a ruler and a pair of compasses— Explanation

-Working out

-Construction

-Discussion

Demonstration

Coloured Manila cards

(squares, triangles,  circles),

books, beads,

PM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg 36-45

 
4 Pythagorean relationshipBy the end of the lesson the learner should be able to recognise and identify Pythagorean relation ship – Explanation

-Working out

-solving equation

-Discussion

Demonstration

Coloured Manila cards

(squares, triangles,  circles),

books, beads,

PM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg 36-45

 
5  By the end of the lesson the learner should be able to recognise and identify Pythagorean relation ship– Explanation

-Working out

-solving equation

-Discussion

Demonstration

Rectangles, circles, triangles

of different sizes and

colours

 

P PM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg 36-45

 
3-6 ModelBy the end of the lesson the learner should be able to make a model of a cube

 

Identifying shapes of objects

Matching objects according to

shapes

 

Rectangles, circles, triangles

of different sizes and

colours

 

PM PB7 Pg46 
7  By the end of the lesson the learner should be able to make a model of a cuboids

 

Identifying sizes of objects.

group objects according to size

Matching objects according to size

Objects like  tins, books, bottles, pictures, of different size

 

TG 7Pg38 
 
111  By the end of the lesson the learner should be able to make a model of a cylinder

 

Identifying sizes of objects.

group objects according to size

Matching objects according to size

Objects like  tins, books, bottles, pictures, of different sizePM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg 36-45

 
2 Pattern sBy the end of the lesson the learner should be able to make pattern using rectangles

 

•  Identifying the texture of an object as rough and smooth

Grouping things

According to texture.

object as rough or smooth

•  Matching objects according

Objects that have smooth or rough texture like wood,

paper, glass, soil, mirror,

leaves, etc.

PM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg 36-45Pg

TG b7Pg

 
3  By the end of the lesson the learner should be able to make pattern using triangles 

 

•  Identifying the texture of an object as rough and smooth

object as rough or smooth

•  Matching objects according

texture

• Comparing the texture of objects.

Objects that have smooth or rough texture like wood,

paper, glass, soil, mirror,

Leaves, etc.

 

PM PB7 Pg46-65

TG 7Pg38-44

NPM PB7 Pg42-67

TG b7Pg 36-45

 
4AlgebraFormingBy the end of the lesson the learner should be able to form a simple algebraic equation

 

Rectangles, circles, triangles

of different sizes and

colours

Explanation

-Working out

-solving equation

-simplifying

 Pg50-64

TG 7Pg

NPM PB7 Pg42-60

TG b7Pg40-51

 
5  By the end of the lesson the learner should be able to form a simple algebraic equation

 

Explanation

-Working out

-solving equation

-simplifying

 Pg50-64

TG 7Pg

NPM PB7 Pg42-60

TG b7Pg40-51

 
6 Simplifying By the end of the lesson the learner should be able to simplify an algebraic equationExplanation

-Working out

-solving equation

-simplifying

 Pg50-64

TG 7Pg

NPM PB7 Pg42-60

TG b7Pg40-51

 
7  By the end of the lesson the learner should be able to simplify an algebraic equationExplanation

-Working out

-solving equation

-simplifying

 Pg50-64

TG 7Pg49-50

NPM PB7 Pg42-60

TG b7Pg40-51

 
121  By the end of this topic, the

pupils should be able to revise and answer question of the work covered in the term

 

Explanation

-Working out

-solving equation

-simplifying

 Pg50-64

TG 7Pg40-50

NPM PB7 Pg42-60

TG b7Pg40-51

 
2       
3       
4       
5       
6       
7       
131Revisions  By the end of this topic, the

pupils should be able to revise and answer question of the work covered in the term

 

Explanation

-Working out

-revision

 

 PM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
2       
3       
4       
5       
6       
7       
141Examinations By the end of this topic, the

pupils should be able to revise and answer question of the work

Explanation

-Working out

-answering

 PM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
2       
3       
4       
5       
6       
7       

 

Mathematic schemes of work for standard __7____TERM___3____YEAR________

 

WEEKLESSONTOPICSUB-TOPICOBJECTIVESLEANING/ TEACHING ACTIVITIESLEARNING/ TEACHING RESOURCESREFERENCES 
1

 

 

 

 

 

 

 

 

 

2

1Algebra   Form and Simplifying By the end of the lesson the learner should be able to form and simplify an algebraic equation-Grouping objects

-Naming objects

– Explanation

-Working out

-solving equation

-simplifying

-Objects like tins, books, pencils, cups, pictures, etcPg50-64

TG 7Pg

NPM PB7 Pg42-60

TG b7Pg40-51

 
2 SubstitutionBy the end of the lesson the learner should be able to work out the value of algebraic equation through substitution -Grouping objects

– arranging

– Explanation

-Working out

-solving equation

-simplifying

-Objects like tins, -books, pencils, -cups, pictures, etcPg50-64

TG 7Pg

NPM PB7 Pg42-60

TG b7Pg40-51

 
3 SubstitutionBy the end of the lesson the learner should be able to work out the value of algebraic equation through substitution – Explanation

-Working out

-solving equation

-simplifying

Coloured Manila cards

(squares, triangles,  circles),

books, beads,

Pg50-64

TG 7Pg

NPM PB7 Pg42-60

TG b7Pg40-51

 
4 SolvingBy the end of the lesson the learner should be able to form and solve  algebraic expression with one unknown Explanation

-Working out

-solving equation

-simplifying

Coloured Manila cards

(squares, triangles,  circles),

books, beads,

Pg50-64

TG 7Pg

NPM PB7 Pg42-60

TG b7Pg40-51

 
5  By the end of the lesson the learner should be able to form and solve  algebraic expression with one unknown Explanation

-Working out

-solving equation

-simplifying

Rectangles, circles, triangles

of different sizes and

colours

 

Pg50-64

TG 7Pg

NPM PB7 Pg42-60

TG b7Pg40-51

 
6 Simplifying in equalitiesBy the end of the lesson the learner should be able to simplify inequality with one unknown

 

Explanation

-Working out

-solving equation

-simplifying

Rectangles, circles, triangles

of different sizes and

colours

 

Pg150-164

TG 7Pg

NPM PB7 Pg142-160

TG b7Pg94-96

 
7  By the end of the lesson the learner should be able to simplify inequality with one unknown

 

Explanation

-Working out

-solving equation

-simplifying

Objects like  tins, books, bottles, pictures, of different size

 

Pg150-164

TG 7Pg

NPM PB7 Pg142-160

TG b7Pg94-96

 
 
31Tables and graphs Linear ScaleBy the end of the lesson the learner should be able to determine the appropriate scale for the graphsIdentifying linear scale

Explanation

-Working out

-representing data

Drawing graph

Objects like  tins, books, bottles, pictures, of different sizePg150-164

TG 7Pg

NPM PB7 Pg142-160

TG b7Pg94-96

 
2  By the end of the lesson the learner should be able to determine the appropriate scale for the graphs•  Identifying the texture of an object as rough and smooth

Explanation

-Working out

-representing data

Drawing graph

Objects that have smooth or rough texture like wood,

paper, glass, soil, mirror,

leaves, etc.

PM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
3 Interpreting tablesBy the end of the lesson the learner should be able to read and interpret tables in real life situation

 

•  Explanation

-Working out

-representing data

Drawing graph

Objects that have smooth or rough texture like wood,

paper, glass, soil, mirror,

Leaves, etc.

 

Pg150-164 
4  By the end of the lesson the learner should be able to read and interpret tables in real life situation

 

Explanation

-Working out

-representing data

Drawing graph

 TG 7Pg 
5 Bar graphBy the end of the lesson the learner should be able to represent data on a bar graph Explanation

-drawing

Representing data

 NPM PB7 Pg142-160 
6  By the end of the lesson the learner should be able to interpreting data on  a graph -Discussion

-interpreting data

-drawing

 TG b7Pg94-96 
7 Pie chartBy the end of the lesson the learner should be able to represent data on a pie chart -Working out

-representing data

Drawing pie chart

 Pg150-164

TG 7Pg

NPM PB7 Pg142-160

TG b7Pg94-96

 
41  By the end of the lesson the learner should be able to interpret data on a pie chart  -Conversion

-Working out

-representing data

Drawing pie chart

 Pg150-164

TG 7Pg

NPM PB7 Pg142-160

TG b7Pg94-96

 
2 Travel graphBy the end of the lesson the learner should be able to read and interpret data on  a travel graph  Explanation

-Working out

-representing data

Drawing graph

 Pg150-164

TG 7Pg

NPM PB7 Pg142-160

TG b7Pg94-96

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

 Present  data on a travel graph 

– Explanation

-Working out

-representing data

Drawing graph

 PM PB7 Pg

TG 7Pg

NPM PB7 Pg

TG b7Pg

 
4 Line graphBy the end of the lesson the learner should be able to read and interpret data on  a line graph  – Explanation

-Working out

-representing data

Drawing graph

 PM PB7 Pg150-164

TG 7Pg

NPM PB7 Pg142-160

TG b7Pg94-96

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

 Present  data on a line graph 

-Explanation

-demonstration

-Discussion

-Working out

 

 PM PB7 Pg150-164

TG 7Pg

NPM PB7 Pg142-160

TG b7Pg94-96

 
6 Arithmetic meanBy the end of the lesson the learner should be able to work out problems involving arithmetic mean

 

Explanation

-demonstration

-Discussion

-Working out

 

 PM PB7 Pg150-164

TG 7Pg

NPM PB7 Pg142-160

TG b7Pg94-96

 
7 The modeBy the end of the lesson the learner should be able to work out problems involving arithmetic mode  -Explanation

-demonstration

-Discussion

-Working out

-Conversion

 PM PB7 Pg150-164

TG 7Pg

NPM PB7 Pg142-160

TG b7Pg94-96

 
51  By the end of the lesson the learner should be able to work out problems involving arithmetic mean and mode in real life situation

 

Explanation

-Discussion

-Working out

-Conversion

-Observation

 PM PB7 Pg150-164

TG 7Pg

NPM PB7 Pg142-160

TG b7Pg94-96

 
2Scale drawing Linear scale in ratio formBy the end of this topic, the

pupils should be able to read and write linear scale in ratio form 

 

-Explanation

-Discussion

-drawing

-Working out

-Conversion

 PM PB7 Pg150-164

TG 7Pg

NPM PB7 Pg142-160

TG b7Pg94-96

 
3 ConversionBy the end of this topic, the

pupils should be able to convert linier scale from statement to ratio form

 

Explanation

-Discussion

-Demonstration

-Working out

-Conversion

 PM PB7 Pg150-164

TG 7Pg

NPM PB7 Pg142-160

TG b7Pg94-96

 
4  By the end of this topic, the

pupils should be able to convert linier scale from ratio form to statement

 

-Explanation

-Discussion

-Demonstration

-Working out

-Conversion

 PM PB7 Pg150-164

TG 7Pg

NPM PB7 Pg142-160

TG b7Pg94-96

 
5  By the end of this topic, the

pupils should be able to convert linier scale from statement to ratio form and vice versa

 

Explanation

-Discussion

-Working out

-Conversion

 PM PB7 Pg150-164

TG 7Pg

NPM PB7 Pg142-160

TG b7Pg94-96

 
6 Making scale drawingBy the end of this topic, the

pupils should be able to make a scale drawing

 

-Explanation

-Discussion

-Working out

-Conversion

 PM PB7 Pg162

TG 7Pg

NPM PB7 Pg142

TG b7Pg

 
7  . By the end of this topic, the

pupils should be able to work out problems involving scale drawing

 

Explanation

-Discussion

-Working out

-Conversion

-Observation

 PM PB7 Pg143

TG 7Pg97

NPM PB7 Pg143

TG b7Pg95

 
71 Mixed exerciseBy the end of the lesson the learner should be able to do a revision exercise on the work coveredExplanation

-Discussion

-Working out

-answering

 PM PB7 Pg162

TG 7Pg

NPM PB7 Pg162

TG b7Pg97

 
2Ratio and proportion Ratio as a fractionBy the end of this topic, the

pupils should be able to recognize and identify  ratio as a fraction

 

Explanation

-Discussion

-Working out

-Conversion

 PM PB7 Pg163

TG 7Pg98

NPM PB7 Pg161

TG b7Pg99

 
3FractionRatio sharingBy the end of this topic, the

pupils should be able to interpret and use ratio on sharing 

 

-Explanation

-Discussion

-Working out

-Conversion

 PM PB7 Pg163

TG 7Pg103

NPM PB7 Pg161

TG b7Pg99

 
4  By the end of this topic, the

pupils should be able to interpret and use ratio on sharing 

 

  PM PB7 Pg164

TG 7Pg

NPM PB7 Pg162

TG b7Pg100

 
5  By the end of this topic, the

pupils should be able to work out problems involving ratio using unitary method

 

-Explanation

-Discussion

-Working out

-Conversion

 PM PB7 Pg

TG 7Pg

NPM PB7 Pg163

TG b7Pg102

 
6 Ratio increaseBy the end of this topic, the

pupils should be able to interpret and use ratio in increase

 

  PM PB7 Pg163

TG 7Pg

NPM PB7 Pg162

TG b7Pg

 
7  By the end of this topic, the

pupils should be able to interpret and use ratio in increase

 

-Explanation

-Discussion

-Working out

-Conversion

 PM PB7 Pg164

TG 7Pg

NPM PB7 161Pg102

TG b7Pg

 
81 Ratio decreaseBy the end of this topic, the

pupils should be able to interpret and use ratio in decrease

 

  PM PB7 Pg163

TG 7Pg

NPM PB7 Pg163

TG b7Pg103

 
2  By the end of this topic, the

pupils should be able to interpret and use ratio in decrease

 

-Explanation

-Discussion

-Working out

-Conversion

 PM PB7 Pg164

TG 7Pg

NPM PB7 Pg162

TG b7Pg

 
3  By the end of the lesson the learner should be able to do a revision exercise on the work covered.  PM PB7 Pg

TG 7Pg

NPM PB7 Pg163

TG b7Pg104

 
4 Direct proportionBy the end of the lesson the learner should be able to recognize and identify simple direct proportion-Explanation

-Discussion

-Working out

-Conversion

 PM PB7 Pg

TG 7Pg

NPM PB7 Pg164

TG b7Pg103

 
5  By the end of the lesson the learner should be able to work out problems involving simple direct proportion  PM PB7 Pg

TG 7Pg

NPM PB7 Pg165

TG b7Pg

 
6 Indirect proportionBy the end of the lesson the learner should be able to recognize and identify indirect  proportion-Explanation

-Discussion

-Working out

-Conversion

 PM PB7 168Pg162

TG 7Pg

NPM PB7 Pg106

TG b7Pg105

 
7  By the end of the lesson the learner should be able to work out problems involving simple indirect proportion-Explanation

-Discussion

-Working out

-Conversion

 PM PB7 Pg160

TG 7Pg

NPM PB7 160Pg169

TG b7Pg106

 

 

 

 

WEEKLESSONTOPICSUB-TOPICOBJECTIVESLEANING/ TEACHING ACTIVITIESLEARNING/ TEACHING RESOURCESREFERENCES 
9

 

 

10

1 RevisionBy the end of the lesson the learner should be able to do a revision exercise on the work covered.  PM PB7 Pg

TG 7Pg107

NPM PB7 Pg169

TG b7Pg106

 
2       
3       
4       
5       
3-6       
7 RevisionBy the end of the lesson the learner should be able to do a revision exercise on the work covered.  PM PB7 Pg180

TG 7Pg112

NPM PB7 Pg22-170

TG b7Pg2-107

 
 
111 RevisionBy the end of the lesson the learner should be able to do a revision exercise on the work covered.  PM PB7 Pg

TG 7Pg180

NPM PB7 Pg171

TG b7Pg107

 
2       
3       
4       
5       
6       
7       
121 ExaminationBy the end of the lesson the learner should be able to do a revision exercise on the work covered.    
2       
3       
4       
5       
6       
7       

 

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