PHEASEY PARK FARMPRIMARY SCHOOL

MATHS WORKSHOP

TUESDAY 14TH JANUARY

Key Stage 2

AIMS

• To provide a clearer understanding of how maths is taught at Pheasey Park Farm and how you can help your child’s mathematical learning.

• To ensure that our children become fluent in the fundamentals of maths, are able to reason mathematically and are tooled to solve problems.

EXAMPLES OF SOME OF THE THINGS YOUR CHILD WILL BE LEARNING IN YEAR 3

Counting, mental strategies and rapid recall will start to develop more in KS2 • Count forwards and backwards in 10s and 100s from any two,

three-digit number • Revise bonds to 100 (multiples of 10 e.g. 10 + 90) extend to all

bonds to 100 • Learn multiplication facts • Read and write numerals from 0 to 1000, then beyond • 10 more 10 less, 100 more 100 less, 1000 more, 1000 less • Revise addition and subtraction facts to 20 extend to 50 • Derive doubles of whole numbers to 50, corresponding halves • Order numbers up to 100 • Count forwards and backwards in 10s from and to 100 • Recognise odd/even numbers to 100 • Know simple equivalent fractions and find fractions of shapes • Add three or four small numbers by putting large number first • Multiply and divide a number by 10 and 100. • Identify, describe and classify 2D and 3D shapes and know their

properties • Solve problems, using the four rules up to £5.00 extend to £10.00. • Read the time to the hour, half hour, quarter hour and 5 minutes. • Know the relationships of units of measure for length, capacity and

weight.

EXAMPLES OF SOME OF THE THINGS YOUR CHILD WILL BE LEARNING IN YEAR 4

• Counting forwards and backwards in 10s and 100s from any two, three-digit • Use all bonds to 100• Learning all Multiplication facts• Read and write numerals from 0 to 10,000, then beyond• 100 more 100 less, 1000 more 1000 less• Revise addition and subtraction facts to 50• Revise doubles of numbers to 50, corresponding halves extend to 100• Order numbers up to 1000• Recognise odd/even numbers to 1000• Know equivalent fractions and find fractions of numbers and quantities• Add or subtract 9, 19, 29, 11, 21, 31 by rounding and compensating• To multiply and divide a two-digit number by 10 and 100. • Identify, describe and classify 2D and 3D shapes and know their properties including symmetry.• To solve money problems, using the four rules up to £10.00 extend to £100.00• Read the time to the hour, half hour, quarter hour, 5 minutes and 1 minute• Read timetables• Know the relationships of units of measure for length, capacity and weight and convert.

EXAMPLES OF SOME OF THE THINGS YOUR CHILD WILL BE LEARNING IN YEAR 5

• Know and use multiplication including to 11x and 12x and division facts extending to 11x and 12x

• Read and write numerals from 0 to 100,000, then beyond

• Revise addition and subtraction facts to 100

• Doubles of numbers to 100 with corresponding halves, extend to 1000

• Order numbers up to 10,000 extend to order negative numbers

• Recognise odd/even numbers to 10,000

• Using equivalent fractions, finding fractions of numbers and quantities

• Add or subtract pairs of three-digit multiples of 10 and two-digit numbers with one decimal place

• Add several numbers

• Multiply or divide whole numbers up to 10,000 by 10 and 100

• Calculate percentage of 2 digit numbers

• Understanding of square numbers

Shape:

• Identify, describe and classify 2D and 3D shapes and know their properties including symmetry.

Money and problems:

• solve problems, using the four rules in the context of money.

Measures:

• Know the relationships of units of measure for length, capacity and weight and conversion, including decimals.

EXAMPLES OF SOME OF THE THINGS YOUR CHILD WILL BE LEARNING IN YEAR 6

Counting, mental strategies and rapid recall are developed further. • Count forwards and backwards in equal steps extend to negative numbers• Use all multiplication and division facts to support all areas of maths• Read and write numerals from 0 to 1000,000, then beyond• Doubles of numbers and corresponding halves up to 1000 including decimals• Order numbers up to 100,000 including negative numbers and fractions• Know equivalent fractions, find fractions of numbers and quantities, convert between fraction, decimals and percentages• multiply or divide whole numbers and decimal numbers up to 10,000 by 10, 100 and 1000• Calculate percentage of 2 or 3-digit number or quantities• Use knowledge of square and prime numbers• rounding of numbers.Shape: • Use knowledge and ability to identify, describe and classify 2D and 3D shapes and know their properties including symmetry to solve problems.Money and problems: • Solve money and no-money word problems, using the four rules in the context – using multi-step procedures.Measures: • Calculate area and perimeter

OUR AIM IS FOR PHEASEY PARK FARM CHILDREN TO :

Become fluent in the fundamentals of mathematics.

Become efficient in their choice of methods. Have a solid procedural understanding of

maths. Have a deep conceptual understanding of

maths. Be able to reason mathematically. Solve problems by applying their

mathematical knowledge correctly.

MAKING CONNECTIONSAdapted from Haylock and Cockburn

(2008)

Symbols

Concrete Experiences

PicturesLanguage

5

Children will be able to access a range of resources throughout the school to support their conceptual learning. Resources are differentiated to ensure children don’t become dependent on one.

THE FOUR OPERATIONS – PROCEDURAL APPLICATION

Addition

Subtraction

Multiplication

Division

ADDITION

Numbers bonds – using knowledge of bonds to 10 to find bonds to 100, 1000……

Partitioning

Column Addition

WRITTEN METHODPARTITIONING THROUGH TO COLUMN ADDITION

38 + 68 = (30 + 60)= 90 (8 + 8 ) = 16 (90 + 16) = 106

6724+11 (7+4)80 (60+20)91

587 475+1062 1 1

SUBTRACTION

To be able to subtract 9 and 11 by subtracting 10 and adjusting by 1.

67 - 9 =67 - 10 = 5757 + 1 = 58

Developing to….. 45 – 19 = 45 – 20 = 25 25 + 1 = 26

SUBTRACTION WRITTEN METHODPARTITIONING AND DECOMPOSITION

89-57= 80 + 9-50 + 7 30 + 2Answer 32Then children will need to exchange 71-46= 71 - 46 25

16

MULTIPLICATION To be able to multiply numbers by 10 and 100. X 10 ÷ 10 94 x 10 = 940 94 x 100 =9400 94 x 1000 = 94000

To be able to derive all multiplication facts and related division facts.

To be able to partition numbers to simplify multiplication. 13 x 3 =

10 x 3 = 30 3 x 3 = 9 30 + 9 = 39

10Th

Th H T U

      9 4

    9 4 0

  9 4 0 0

9 4 0 0 0

MULTIPLICATION WRITTEN METHOD

To be able to partition numbers to simplify multiplication. 13 x 3 =

10 x 3 = 30

3 x 3 = 9

30 + 9 = 39

Grid Method 38x72=

2100

60 = 2160

560 16 = 576

X

30 8

70 2

+

2736

MULTIPLICATION

Working towards a compact method

4346 x 8= x 8

4000

300

40 6

32000

2400

320

48

++

+

34768

DIVISION – WRITTEN METHOD

Vertical Method (short and long division)

72 / 3 = 24

196 / 6 = 32 r 4

972 / 36 = 27

KEY ELEMENT FOR ALL CALCULATIONS IS PLACE VALUE

Children should be confident and efficient when lining digits up in the correct place value coloumn.

Unit digits – unit column Tens digit – tens column Hundreds digit – hundreds column Tenths digit – tenths column

This ensures that the value of each digit is accurate – making numbers and calculations accurate.

USING AND APPLYING

Problem solving – selecting the correct operation

‘PROBLEM-SOLVING APPROACHES OFFER CHILDREN THE ‘BUZZ’ OF WORKING THINGS OUT FOR THEMSELVES, OF MAKING SENSE OF SITUATIONS…..’ THOMPSON, I (2010)

Real-life maths – time, measures, money……

Approximating – developing a number sense

THE LEARNING OF TIMESTABLES AT PHEASEY PARK FARM

Chant, rhymes and raps

Rapid recall games

Timestables splat

Fun timestable test

MATHS AT HOME

Any extra help can only benefit your child!

Important to ask your child about their learning at school – ask them what their Maths target is in their book.

Times table learning – perseverance from all! Homework will be issued weekly Board games. Real – Life OpportunitiesComplete a height chart, ask them to create a monthly schedule, read time tables, let them pay, estimate shopping bill together, bake a cake – measure ingredients, time the baking / cooling ……

MATHS ACTIVITY BOOKLET•Each term you will have a new Activity Booklet.

•Practical maths ideas to do with your children.

•Level Books are available to purchase from the office.

INCORPORATE MATHS INTO NORMAL CHORES

•Maths can be built into everyday life without any ‘hard work’ – E.g. Ask your child to total the amount of time during one day the television is on in your house. Ask them to calculate the week….month….year!

MATHS WEBSITES

•http://www.bbc.co.uk

•http://nrich.maths.org

•http://primarymathsgames.net

•http://www.coolmath.com/parents/

THANK YOU …..HAPPY COUNTING!

Feedback – Parents View.