![Page 1: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/1.jpg)
Helping Your ChildWith Their Maths
![Page 2: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/2.jpg)
Why Has It All Changed?
Formal written methods
• Columnar addition• Columnar subtraction• Long division• Long multiplication
![Page 3: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/3.jpg)
When faced with a calculation problem, encourage your child to ask…
-Can I do this in my head?
-Could I do this in my head using drawings or jottings to help me?
-Do I need to use a written method?
-Should I use a calculator?
Also help your child to estimate and then check the answer. Encourage them to ask…
-Is the answer sensible?
![Page 4: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/4.jpg)
Mental Strategies
Secure mental calculation requires the ability to:
1. recall key number facts instantly • all addition and subtraction facts for each number to at
least 10 • sums and differences of multiples of 102. use knowledge of place value to extend known number facts • using the fact that 7 x 6 = 42 to calculate 70 x 6 = 4203. use strategies such as realising that addition can be done in any order, or partitioning (splitting) numbers into tens and units
![Page 5: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/5.jpg)
Addition
Progression in addition:• Use practical objects• Structured number line• Unstructured number line
• TU+U, TU+TU without bridging• TU+U, TU+TU with bridging
• Partitioning• Expanded columnar• Columnar
![Page 6: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/6.jpg)
ADDITION WITHOUT BRIDGING
![Page 7: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/7.jpg)
ADDITION WITH BRIDGING
![Page 8: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/8.jpg)
PARTITIONING
47 + 76
40 + 70 = 70 + 30 + 10 = 110
7 + 6 = 7 + 3 + 3 = 13
110 + 13 = 100 + 10 + 10 + 3 = 123
![Page 9: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/9.jpg)
EXPANDED COLUMNAR
47 + 76 = 40 + 7
70 + 6
110 + 13 = 123
258 + 87 = 200 + 50 + 8
80 + 7
200 + 130 + 15 = 345
![Page 10: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/10.jpg)
COLUMNAR ADDITION
![Page 11: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/11.jpg)
Subtraction
Progression in subtraction:• Use practical objects• Structured number line• Unstructured number line
• TU-U, TU-TU without bridging• TU-U, TU-TU with bridging
• Partitioning• Expanded columnar• Columnar
Inverse of addition
![Page 12: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/12.jpg)
SUBTRACTION WITHOUT BRIDGING
![Page 13: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/13.jpg)
SUBTRACTION WITH BRIDGING
![Page 14: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/14.jpg)
PARTITIONING
264 – 182What can go wrong?
200 – 100 = 10080 – 60 = 204 – 2 = 2100 +20+2 = 122
What should it be?264 – 100 = 164164 – 80 = 8484 – 2 = 82
![Page 15: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/15.jpg)
EXPANDED COLUMNAR
![Page 16: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/16.jpg)
COLUMNAR
![Page 17: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/17.jpg)
Multiplication
Progression in multiplication• Arrays
• Concrete objects• Pictorial representation
• Number lines (repeated addition)• U x U• TU x U
• Partitioning• TU x U• HTU x U
• Grid method
![Page 18: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/18.jpg)
ARRAYS : U x U
6 X 4
X X X X X X
X X X X X X
X X X X X X
X X X X X X 24
![Page 19: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/19.jpg)
NUMBER LINES
![Page 20: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/20.jpg)
PARTITIONING
438 x 6
400 x 6 = 2400
30 x 6 = 180
8 x 6 = 48
2400 + 180 + 48 = 2628
![Page 21: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/21.jpg)
GRID METHOD
Why not partitioning for TU x TU?
45 x 38
40 x 30 = 1200
5 x 8 = 40
1200 + 40 = 1240
Oops!
![Page 22: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/22.jpg)
GRID METHOD
45 x 38
40 5
30 1200 150 8 320 40
Then add the four ‘answers’
![Page 23: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/23.jpg)
Division
Progression in Division
• Using pictures• Number line (repeated subtraction)• Chunking
Inverse of multiplication
![Page 24: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/24.jpg)
USING PICTURES
Share the apples between the teddies.
![Page 25: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/25.jpg)
NUMBER LINE
There are 12 bicycles wheels. How many bikes are there?
12 ÷ 2 = 6
![Page 26: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/26.jpg)
CHUNKING
Eighty one stickers are divided equally between three friends. How many stickers do they each get?
81 3 = 81 - 30 (10 x 3) 51 - 30 (10 x 3) 21 - 21 (7 x 3) 0
![Page 27: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/27.jpg)
Discuss with your child how things work
and ask them to explain how they
know.
![Page 28: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/28.jpg)
Any questions?
![Page 29: Helping Your Child With Their Maths. Why Has It All Changed? Formal written methods Columnar addition Columnar subtraction Long division Long multiplication](https://reader035.vdocuments.site/reader035/viewer/2022062519/56649e905503460f94b94c5e/html5/thumbnails/29.jpg)
NOW IT’S YOUR TURN !!!