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KS2 Mathematics
Parent Workshop
September 2014Mrs Townsend
Maths Leader
Contents- The New Curriculum – what’s new in Key Stage 2- The 4 operations – including calculation methods and
progression - Mental Mathematics- End of Year Expectations- Your turn to have a go/Using and Applying- Year 6 SATS- Problem Solving- How you can help at home- My Maths and Online applications
Aims- Enable you to understand the changes occurring in
mathematics due to the new curriculum- Provide you with a greater understanding of how
mathematics is taught in school and progression of the 4 operation methods through Key Stage 2.
- Enable you to see the types of different questions children are asked in their assessments including Year 6 SATS and Level 6.
- See the importance of mental mathematical skills and the strategies children are taught.
- Help you understand how you can help your child at home.
The New Curriculum
- More cross curricular-Greater links with Computing-Problem Solving no longer taught discretely but embedded within each area/domain of mathematics-Divided into Lower Key Stage 2 and Upper Key Stage 2-The 2016 assessment tests will be based on the new curriculum content
The New CurriculumHow we are implementing the new curriculum
-Years 3-5 are following the new curriculum-Year 6 are following the objectives from the old curriculum -All year groups are including more work on computers and ipads to support and consolidate learning-In each year group the expectations are higher
The New CurriculumNew ExpectationsBy the end of year 4 pupils should-memorise their multiplication tables up to and including the 12 times table-show precision and fluency in their work
By the end of year 6 pupils should - Be fluent in written methods for all four operations, including long multiplication and division, and in working with fractions, decimals and percentages. -Pupils should read, spell and pronounce mathematical vocabulary correctly.
The 4 Operations
Calculation Methods and Progression
Why so many methods?
- Children are entitled to be taught and to acquire secure mental methods and efficient written methods of calculation for each operation which they know they can rely on when mental methods are not appropriate. We teach them a range so they can choose the one they prefer and proves most accurate for them.
The 4 operations
The Four OperationsAddition – Lower KS2
Number Lines:
The Four OperationsAddition – Lower KS2
Partitioning:Partitioning means splitting the number into the tens and units.
48 + 36 = 40 + 30 = 70 40 + 8 8 + 6 = 14 30 + 6
= 84 70 + 14 = 84
The Four OperationsAddition – Lower KS2
Expanded methods in columns:
Children’s understanding of place value has to be secure. 48 + 36 = 84
4 83 6 +1 4 – adding units first7 0 – adding tens8 4
The Four OperationsAddition – Upper KS2
Column Method:
This method remains efficient when adding larger numbers and decimals. It is a quick and reliable method. 48 + 36 = 84
4 83 6 +8 4
1 carrying ‘ten’
The Four OperationsAddition – Upper KS2
- Column MethodThis method remains efficient when adding larger numbers and decimals. It is a quick and reliable method. 379 + 92 = 471
3 7 9 9 2 +4 7 1
1 1 carrying ‘ten’ and ‘one hundred’
The Four OperationsSubtraction – Lower KS2
Counting On ‘Finding the difference’
-Count on from the smallest to the largest once again bridging through ten or a multiple of ten.
+ 2+ 30
+ 4
38 40 70 74
74 – 38 = (2 + 30 + 4) = 36
The Four OperationsSubtraction – Lower KS2
Partitioning:
The Four OperationsSubtraction – Lower KS2
Partitioning:
The Four OperationsSubtraction – Lower & Upper KS2
Column Method – Decomposition:
The Four OperationsSubtraction – Lower & Upper KS2
Column Method – Decomposition:
7 63 9 –3 7
1⁄6
Borrowing ‘ten’ not 1
2 3 7 8 4 –1 5 3
11⁄
The Four OperationsSubtraction –Upper KS2
The Four OperationsNow it’s your turn!
Liam spends £14 altogether on the Big Wheel and the Rollercoaster.He goes on the Big Wheel twice.How many times does he go on the Rollercoaster?
Level 4 Questions
The Four Operations
Dev and Joe each buy a book.Dev pays with a £5 note and gets £1.05 change.Joe’s book costs £7How much more does Joe’s book cost than Dev’s book?
Now it’s your turn!
Level 4 Questions
The Four OperationsMultiplication – Lower & Upper KS2
Grid Method:
43 X 6 124 X 32
X 6
4 0 2 4 0
3 1 8
2 5 8
X 3 0 2
1 0 0 3 0 0 0 2 0 0 3 2 0 0
2 0 6 0 0 4 0 6 4 0
4 1 5 0 8 1 5 8
3 9 9 8
The Four OperationsMultiplication – Lower & Upper KS2
Expanded Short Method:
32 x 3 30 + 2
3 x 6 = 2 x 3
90 = 30 x 3 96
The Four OperationsMultiplication – (Lower) & Upper KS2
Short Multiplication:
4 3 X 64 3
6 x 2 5 8 1
The Four OperationsMultiplication – Upper KS2
Short Multiplication for 2-digit x 2 digit:
5 6 x 2 7 = 5 6 2 7 x
3 9 2 1 1 2 0 +
1 5 1 2
4
When multiplying by the ten (20 in this example) children must remember to put the place holder ‘0’ in the units column.
1
The Four OperationsNow it’s your turn!
1. Calculate 602 × 57
2. Calculate 143 × 37
Level 5 Questions
The Four OperationsDivision – Lower KS2
Grouping using multiplication knowledge:
This method uses children’s understanding on times tables and links to their mental calculations.
e.g. 43 ÷ 7 =
I know 6 X 7 = 42 so …
43 ÷ 7 = 6 remainder 1
The Four OperationsDivision – Lower KS2
Grouping using jottings This enables the introduction of remainders
The Four OperationsDivision – Lower KS2
Division as repeated subtraction 18 ÷ 3 = 6
18 15 12 9 6 3 0 -3 -3 -3 -3-3-3
The Four Operations
The Four Operations
Children building up confidence, using their multiplication knowledge, to subtract larger ‘chunks’.
The Four OperationsThis method is the next step after chunking. It is a more compact method.
2
Links to chunking:3 x 20 = 60 80 – 60 = 20 which the ‘2’ represents3 x 7 = 21No remainder
The Four Operations
2
The Four Operations
1⁄
4
The Four Operations
1. Calculate 816 ÷ 24
2. A school buys some yo-yos as prizes.The yo-yos cost £4.25 each.The school has £40 to spend on prizes.They buy as many yo-yos as they can.How much money is left?
Level 5 Questions
Now it’s your turn!
Mental MathematicsIt is essential children have secure knowledge and recall of mental facts including:
-Place Value including decimals-Number bonds -Times tables from 0 to 12!-Corresponding division facts-Rounding to enable estimation of answers
Mental MathematicsMental Mathematic Strategies:
-Use number bonds to 10, 20 and 100 transferable to 1,000 and decimals-Multiplication and division by 10, 100, 1,000, 0.1-Use doubles and near doubles-Partition into thousands, hundreds, tens and units-Adding near multiples of 10. Adding the multiple then add or subtract 1-Subtracting near multiples of 10. Subtracting the multiple then subtracting or adding 1. -These are transferable to multiples of 100, 1,000 etc.
Problem SolvingUsing and applying knowledge and skills
Explaining, Reasoning & Justifying
Three whole numbers add up to 50 Seb says,‘All three numbers must be even numbers.’Is Seb correct?Circle Yes or No. Yes / No
Explain how you know.
Level 5 Questions
Now it’s your turn!
Year 3 – 4 Optional SATS
- Occur in May/June.- All children will complete a mental paper.-Year 3 & 4 complete one written paper.-Year 5 complete two written papers.-Children will have already attempted past papers so use to the format.-End of year level will be teacher assessed.
Year 6/End of KS2 SATS-Occur in May.-All children sit the Level 3-5 paper.-Children will complete a mental paper and two written papers.-Both written papers will be non-calculator.-Children will have already attempted past papers so use to the format.-Some children will sit the two Level 6 papers (non-calculator).
Level 6 SATS-Two papers both non- calculator-Includes algebra-Requires knowledge of properties of different shapes and formula for areas of shapes-Corresponding, Alternate and Supplementary Angle knowledge-Involves reasoning and explanation of answers
Level 6 SATS
Now it’s your turn!Find the value of t in this equation. 33 – 8t = 15
Level 6 Questions
Level 6 SATS
Level 6 Questions
How you can help at home-Lots of practice
-Playing games – cards, snakes and ladders, dominoes
-Cooking
-Telling the time
-MyMaths.co.uk
-Online Applications
-www.transum.org
Online Applications
Math Bingo: Four operation bingo
Multi player mental maths game
Four operation practice
Squeebles Times Tables 2
King of MathsAchieve Level 4
Long division touch Algebra touch
How to support your child at home hand-out
Any other questions?
Thank you
