Mathematics Schemes 6 - Oxford · up to hundreds of millions ... page 6 Teacher’s Book pages 4-5 Pupil’s book ... should be able to round off decimals to the nearest

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UNIT OBJECTIVESTEACHING/LEARNING

ACTIVITIESLESSONSLEARNING/TEACHING

RESOURCES REMARKSTOPIC REFERENCES

NOT FOR SALE For use with Progressive Primary Mathematics Standard Six

5

2

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3

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3

Place values of numbers

Rounding off to the nearest thousand

Divisibility test for 8

Squares of numbers

Square roots of numbers

Addition

By the end of this topic, the pupils should be able to recognize and identify the place values and total values of numbers, read and write numbers in words and in figures up to hundreds of millions

By the end of this topic, the pupils should be able to round off numbers to the nearest thousand

By the end of this topic, the pupils should be able to apply the divisibility test for 8 to determine numbers that are divisible by 8

By the end of this topic, the pupils should be able to identify and to work out squares of up to 3-digit numbers, list the square numbers between 1 and 100 and find the square of a number

By the end of this topic, the pupils should be able to work out the square roots of perfect squares up to 3-digit numbers

By the end of this topic, the pupils should be able to add numbers up to millions with sums not exceeding 999 999 999 with and without carrying

• Revision of place values up to hundreds of thousands

• Counting in thousands

• Identification of the place value of whole numbers

• Drawing number lines • Estimating and rounding off

numbers

• Listing multiples of numbers • Dividing numbers

• Multiplying numbers • Listing numbers

• Multiplying numbers • Dividing numbres

• Adding numbers • Aligning numbers in place

value charts

Place value tables and columns

Place value tables, number lines

Multiplication tables


Multiplication tables,charts with lists of whole numbers up to 100

Place value tables and charts, addition tables

Pupil’s Book pages 2-4 Teacher’s Book pages 1-3

Pupil’s Book page 5 Teacher’s Book page 4

Pupils’ Book page 6Teacher’s Book pages 4-5

Pupil’s book pages 7-8Teacher’s Book pages 5-6


Pupil’s Book pages 10-11Teacher’s Book pages 11-12

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3Progressive Primary Mathematics Book 6: Sample Schemes of Work: Term One

1Wholenumbers

2Additionandsubtra-ction

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Subtraction

Number sequences

Multiplication

Division

LCM and GCD

Number sequences

Adding fractions

Place value tables, addition tables

Addition tables





Paper strips, fruits, cakes, etc


Pupil’s Book page 13Teacher’s Book page 13



Pupil’s Bookpages 19-20Teacher’s Bookpage 18

Pupils’ Bookpage 21Teacher’s Bookpages 18-19

Pupil’s Bookpages 22-24Teacher’s Bookpages 21-22

• Subtracting numbers• Aligning numbers in place

value charts and tables

• Adding numbers • Subtracting number• Identifying number sequences

• Listing the multiples of numbers

• Multiplying whole numbers

• Listing the multiples of numbers

• Dividing numbers

• Dividing numbers• Multiplying numbers• Answering questions

• Multiplying numbers• Dividing numbers• Finding missing numbers

• Listing multiples of numbers• Listing divisors of numbers• Adding fractions• Finding the LCM of numbers

By the end of this topic, the pupils should be able to work out subtraction of numbers up to millions with and without borrowing

By the end of this topic, the pupils should be able to identify and recognise number sequences involving addition and subtraction

By the end of this topic, the pupils should be able to multiply up to 3-digit numbers by 3-digit numbers with products not exceeding 999 999 999

By the end of this topic, the pupils should be able to divide up to 5-digit numbers by 2-digit numbers with the divisor less than the dividend

By the end of this topic, the pupils should be able to work out the LCM and GCD of numbers

By the end of this topic, the pupils should be able to find the missing numbers in a given sequence

By the end of this topic, the pupils should be able to add up to three mixed numbers using LCM

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6Progressive Primary Mathematics Standard Six

Schemes of WorkTerm 1

3Multi-plicationanddivision

4Fraac-tions

152





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Subtracting fractions

Multiplying fractions

Dividing a fraction by a whole number

Dividing a fraction by a fraction

Squares and square roots of fractions

Number sequences

Place values of decimals

By the end of this topic, the pupils should be able to subtract up to three mixed numbers using LCM

By the end of this topic, the pupils should be able to multiply a fraction by a fraction, and by a mixed number

By the end of this topic, the pupils should be able to divide a fraction by a whole number and vice versa

By the end of the topic, the pupils should be able to divide a fraction by a fraction

By the end of this topic, the pupils should be able to work out sequences of fractions and the square roots of fractions

By the end of this topic, the pupils should be able to recognize and identify missing numbers involving fractions

By the end of this topic, the pupils should be able to read and write decimals up to 4 decimal places

• Listing multiples of numbers• Listing divisors of numbers• Subtracting fractions• Finding the LCM of numbers

• Cutting into equal parts• Counting parts of a fraction• Multiplying fractions

• Cutting into equal parts• Counting parts of a fraction• Dividing fractions

• Cutting into equal parts• Counting parts of a fraction• Dividing fractions

• Multiplying fractions• Dividing fractions

• Multiplying fractions• Dividing fractions• Finding missing numbers

• Multiplying by 100 000• Dividing by 10 000• Converting decimals to

fractions and vice versa




Pupil’s Book pages 30-31Teacher’s Book page 25

Pupil’s Book pages 31-32 Teacher’s Book page 26


Pupils’ Book pages 34-36Teacher’s Book pages 31-32



Paper stips, fruits, cakes etc




Place value tables

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K 7

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Progressive Primary Mathematics Standard SixSchemes of WorkTerm 1

5Deci-mals

153





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Rounding off decimals

Addition and subtraction of decimals

Multiplying decimals

Dividing decimals by whole numbers

Decimals and fractions

Revision

By the of this topic, the pupils should be able to round off decimals to the nearest thousandth

By the end of this topic, the pupils should be able to add and subtract decimals up to ten thousandths

By the end of this topic, the pupils should be able to multiply a decimal by a decimal

By the end of this topic, the pupils should be able to work out division involving decimals

By the end of this topic, the pupils should be able to convert decimals to fractions and vice versa

By the end of this week, the pupils should be able to do revision work on the topics covered during the term

• Multiplying by 10000• Dividing by 10000• Converting decimals to

fractions and vice versa• Rounding off to the nearest

thousandth

• Alignment of numbers in place value tables

• Adding and subtracting decimals

• Alignment of numbers in place value tables

• Multiplying decimals

• Aligning numbers in place value tables

• Dividing decimal numbers by whole numbers

• Converting decimals to fractions and vice versa

• Answering questions• Remedial work• Doing mixed exercise 1







Place value tables

Place value tables

Place value tables

Place value tables

Place value tables

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Progressive Primary Mathematics Standard SixSchemes of Work

Term 1

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6

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The meaning of percentage

Converting fractions, decimals and percentages

Calculating percentage

Calculating amount from the percentage

Circles

Making patterns with circles

By the end of this topic, the pupils should be able to convert decimals and fractions to percentages and vice versa

By the end of this topic, the pupils should be able to convert fractions and decimals to percentages and vice versa

By the end of this topic, the pupils should be able to work out the percentage given quantities By the end of this topic, the pupils should be able to work out quantities when given their percentage in relation to others

By the end of this topic, the pupils should be able to construct circles using a pair of compasses and identify the sector of a circle

By the end of this topic, the pupils should be able to make patterns using circles

• Drawing a 100-square grid • Listing equivalent fractions • Converting fractions and

decimals to percentage

• Converting fractions/decimals to percentages and vice versa

• Converting fractions to decimals

• Converting fractions and decimals to percentage

• Converting fractions/decimals to percentages and vice versa

• Working out fractions of given quantities and vice versa

• Calculating amount from percentage

• Drawing circles by tracing around objects

• Measuring the diameters, radii and circumference of circles

• Deriving the relationship 2r = d or r = 1

2d

• Drawing circles by tracing around round objects

• Measuring the diameters, radii and circumferences of circles

• Overlapping circles







100-square grids, 100 counters

Multiplication tables, 100-square grids, 100 counters


Multiplication tables, 100-square grids, 100 counters

A pair of compasses, a ruler, circular objects

A pair of compasses, a ruler, circular objects

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& 3

Progressive Primary Mathematics Book 6: Sample Schemes of Work: Term Two

6Percent-age

7Circlesandmodels

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Cubes and cuboids

Models of cubes and cuboids

Measuring length in millimetres

Circumference and diameter

Measuring area in acres and hectares

Area of a triangle

By the end of this topic, the pupils should be able to identify faces, edges and vertices of cubes and cuboids

By the end of this topic, the pupils should be able to make models of cubes and cuboids using the appropriate nets

By the end of this topic, the pupils should be able to recognize the millimetre as unit of measuring length and convert mm to cm and vice versa

By the end of this topic, the pupils should be able to practically find the value of (pi) and use its value to work out questons involving circumference

By the end of this topic, the pupils should be able to recognize acres and hectares as units of measuring area

By the end of this topic, the pupils should be able to find the area of a triangle using the formula A = 1

2bh

• Drawing and sorting cubes fromd cuboids

• Identifying faces, edges and vertices of cubes and cuboids

• Drawing and sorting out cubes and cuboids

• Opening boxes and drawing nets of these boxes

• Measuring length in mm, cm, m• Making a ruler marked in

millimetres • Converting mm to cm and vice

versa

• Drawing circles and measuring circumferences and radii

• Measuring the circumference of circular objects

• Dividing the circumfrence by the diameter.

• Finding the area of rectangles and squares

• Converting acres, hectares and m2

• Finding the area of rectangles and squares

• Dividing rectangles into halves through the diagonals

• Deriving the formula A = 12bh







Closed carton boxes, cubes and cuboids

Closed carton boxes, cubes and cuboids

Rulers, strips of paper

Circular tins, rulers, strings

Metre rule, tape measure, string, etc

Rectangular and square cut-outs

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8Length

9Area

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Area of combined shapes and borders

Time in the 24-hour clock

Travel timetables

Speed

Bisecting a line segment

Constructing perpendicular lines

bbBy the end of this topic, the pupils should be able to find the area of combined shapes and borders By the end of this topic, the pupils should be able to work out questions involving time in the 12-hour and 24-hour clock systems

By the end of this topic, the pupils should be able to read and interpret air, bus and train timetables

By the end of this topic, the pupils should be able to work out problems involving speed in km/h and m/s

By the end of this topic, the pupils should be able to bisect a line segment using a pair of compasses and ruler

By the end of this topic, the pupils should be able to construct perpendicular lines using a pair of compasses and a ruler

• Finding the area of rectangles, squares and triangles

• Drawing combined shapes of rectangles and triangles

• Drawing clock faces and reading time in the 12-hour and 24-hour clock systems

• Converting 12-hour clock time to 24-hour clock time and vice versa

• Drawing clock faces and reading time using the 12-hour and 24-hour clock systems

• Converting 12-hour clock time to 24-hour clock time and vice versa

• Running short distances • Timing events • Calculating speed

• Drawing and bisecting straight lines

• Marking line bisectors

• Drawing and bisecting straight lines

• Constructing perpendicular bisectors







Rectangular, square and triangular cut-outs

Charts showing time in the 24-hour clock system, clock faces

Stickers showing speed limit, stopwatches

A pair of compasses, a ruler

A pair of compases, a ruler


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9Progressive Primary Mathematics Standard SixSchemes of WorkTerm 2

10Timeandspeed

11Lines

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Constructing parallel lines

Suplementary angles

Vertically opposite angles

Angles at a point

Bisecting angles

Constructing angles

By the end of this topic, the pupils should be able to construct parallel lines using a pair of compasses and a ruler

By the end of this topic, the pupils should be able to identify angles on a straight line

By the end of this topic, the pupils should be able to identify vertically opposite angles

By the end of this topic, the pupils should be able to identify angles at a point and state that their sum is 360º

By the end of this topic, the pupils should be able to bisect angles using a pair of compasses and a ruler only By the end of this topic, the pupils should be able to construct angles using a pair of compasses and a ruler only

• Drawing lines• Drawing parallel lines

• Measuring angles• Drawing lines and angles• Rotating sticks to make angles• Calculating missing angles

• Measuring angles • Drawing lines and angles • Rotating sticks to make angles• Calculating missing angles

• Measuring angles • Drawing lines and angles • Rotating sticks to make angles • Calculating missing angles

• Measuring angles • Drawing lines and angles • Rotating sticks to make angles • Calculating mising angles

• Measuring angles • Drawing lines and angles • Rotating sticks to make angles • Calculating missing angles

Pupils’ Book pages 94-95 Teacher’s Book pages 69-70







A protractor, a ruler





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12Angles

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Volume

Capacity

Drawing triangles

Angles of a triangle

Patterns

Converting units of mass

Operations on units of mass

bbBy the end of this topic, the pupils should be able to find the volume of cubes and cuboids in m3

By the end of this topic, the pupils should be able to identify the decilitre as a unit of measuring capacity and carry out operations on units of capacity

By the end of this topic, the pupils should be able to draw triangles using a ruler and a protractor

By the end of this topic, the pupils should be able to identify and work out questions involving the exterior and interior angles of a triangle

By the end of this topic, the pupils should be able to make patterns involving squares, rectangles and triangles

By the end of this topic, the pupils should be able to identify and use the tonne as a unit of mass and convert units of mass

By the end of this topic, the pupils should be able to carry out addition, subtraction, multiplication and division involving the units of mass

• Measuring angles • Drawing lines and angles• Rotating sticks to make angles • Calculating missing angles

• Calculating the volume of cubes and cuboids using v = l b h

• Drawing triangles• Measuring angles

• Drawing triangles• Calculating the angles and sides

of a triangle

• Drawing triangles, rectangles and squares

• Making patterns

• Estimating mass• Converting units of mass• Addition, subtraction,

multiplication and division involving units of mass

• Adding, subtracting, multiplying and dividing

• Converting units of mass







Pupil’s Book pages 122-123Teacher’s Bookpage 86

1-cm cubes

1-litre and1-decilitre containers

A pair of compasses, a ruler, a protractor

A protractor, a ruler, triangular cut-outs, a pair of scissors

Cut-outs of rectangles, squares and triangles

Conversion table for the units of mass

Conversion table for the units of mass

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Progressive Primary Mathematics Book 6: Sample Schemes of Work: Term Three

13Volumeandcapacity

15Mass

14Triangles

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Bills

Profit and loss

Postal rates

Revision

Simplifying algebraic expressions

Equations

Inequalities

By the end of this topic, the pupils should be able to work out questions involving bills

By the end of this topic, the pupils should be able to work out problems involving percentage profit and loss

By the end of this topic, the pupils should be able to calculate postal charges for letters, telegrams, money orders and postal orders

By the end of this topic, the pupils should be able to simplify algebraic expressions by collecting like terms together

By the end of this topic, the pupils should be able to solve simple equations with one unknown

By the end of this topic, the pupils should be able to identify and use greater than (>) and less than s(<) correctly in algebraic expressions

• Preparing a shopping list • Buying and selling in the

classroom duka • Preparing bills

• Buying and selling in the classroom duka

• Working out profit and loss

• Discussing the charges for sending airmail, telegrams, money orders and postal orders

• Answering questions in mixed exercise 3

• Remedial work

• Forming algebraic expressions • Simplifying algebraic

expressions

• Comparing and balancing weights of objects using a beam balance

• Comparing masses of objects using a beam balance








Classroom duka and its stock

Classroom duka and its stock

Postal charges for letters, telegrams, postal orders, money orders

Assorted items like pens, pencils, books

Beam balance, weights, counters

Beam balance, weights, counters

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16Moneyandnotes

17Algebra

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Reading and writing scale

Drawing to scale

Bar and picture graphs

Line graphs

Pie charts

Travel graphs

The mean

Revision

By the end of this topic, the pupils should be able to interpret scale drawings, read and write scale in statement form

By the end of this topic, the pupils should be able to make scale drawings

By the end of this topic, the pupils should be able to interpret and respesent data in bar and picture graphs

By the end of this topic, the pupils should be able to interpret and repesent data in line graphs

By the end of this topic, the pupils should be able to interpret and represent data in pie charts

By the end of this topic, the pupils should be able to interpret and represent data in travel graphs

By the end of this topic, the pupils should be able to work out the arithmetic mean of given data

By the end of this topic, the pupils should be able to answer the questions in the test papers and end of year examination

• Reading, writing and interpreting scale

• Reading, writing and interpreting scale

• Drawing to scale

• Interpreting data• Drawing bar and picture graphs• Determining horizontal and

vertical scales

• Interpreting data• Drawing line graphs • Determining horizontal and

vertical scales

• Interpreting data • Drawing pie charts • Determining the angles

representing each sector

• Interpreting data • Drawing travel graphs • Determining horizontal and

vertical scales

• Interpreting data• Calculating the arithmetic

mean of given data

• Asking questions in the test papers 1 to 5






Pupil’s Book pages 152-153Teachers book pages 105-106



Maps, plans, rulers, atlases

Maps, plans, rulers, atlases

Graph paper, rulers

Graph paper, rulers

Protractor, pair of compasses

Graph paper, rulers

Groups of data

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K 9

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Progressive Primary Mathematics Standard SixSchemes of WorkTerm 3

18Scale drawing

19Tablesandgraphs

Documents

Mathematics Schemes 6 - Oxford · up to hundreds of millions ... page 6 Teacher’s Book pages 4-5 Pupil’s book ... should be able to round off decimals to the nearest