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- DfEE 1999 (15 years ago!)
Catholic Partnership Progression through Calculations - - PowerPoint PPT Presentation
Catholic Partnership Progression through Calculations - - PowerPoint PPT Presentation
Catholic Partnership Progression through Calculations
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- written
- November 2012
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∗Standard written calculations by the end of Year 4
The New Primary Curriculum 2014
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∗ To look at the ways in which the teaching of mathematics has changed; ∗ To look at how children calculate; ∗ Try activities to develop calculation strategies; ∗ To look at ways in which parents can help their children
Aims
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!
- Mental calculations
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Calculations
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"#$has been %
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- '
- ()
! #*
- Overview
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So ( how can we give children the best foundations for success with written calculations? +
, +
- .!)/0.!)
',/0 !) /
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∗ 1 ∗ 2 ∗ ( ∗ 3
*!
1 2 ( 3
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- Mental calculation supported by:
- Jottings
- Number lines
- Expanded method using partitioning
- Compact ‘carrying’ method
Addition( Progression
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1-
- ∗ 5 + 9 = 14
∗ Put the larger number first
∗ 65 + 32= 97
Addition ( Number lines
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*4546*7547 545 688758$689$
Addition ( Partitioning
Use an expanded layout:
*4 54 887475*7 8$ 45 89$
Use an expanded layout:
*454 47 5*74 88758$689$
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∗ : ∗ $*
- ;94
5;* 59<* *8= =98
8 88
Addition: Standard Method Column addition..
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∗ Mental calculations supported by: ∗Jottings ∗Number line ∗ Written calculation: ∗Partitioning ∗Decomposition / re-grouping
Subtraction - Progression
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∗ Step 1: counting back in steps of 1 ∗ Step2: counting back in larger steps
Subtraction: Number lines
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Subtraction: Number lines
∗ Step 3: finding the difference
85-76 +4 +5
_____________ 76 80 85 85-76=9
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∗ $97> 9*96$97> 977 > *7 > 9 6 $97> 9776897 897> *76=7 =7> 964=
Subtraction: Partitioning
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Subtraction: Partitioning (Expanded subtraction)
∗ $97> 9*9
977
887
8
$77977 ? 977*79 75475=64=
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- Subtraction: Decomposition or
re(grouping
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∗ :
2 13 1
3.42
- 2.79
0.63
Subtraction: Standard column method
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∗ (% ∗ @ ∗ A ∗ "% ∗ ∗ ∗ B ∗
Multiplication - Progression
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Multiplication – number lines
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3 x 5 5 x 3
Using repeated addition
789$*;4=<8788898$8*8; 5
5 5
Multiplication: arrays
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Multiplication: Grid method
17 x 5
X 10 7 5 50 35
50+35= 85 50 +35 85
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X 70 2 30 2100 60 8 560 16
38 x 72
2160 + 576 2736
Multiplication: Grid method
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- Multiplication: Standard column
method
$;* C9 989* $;*D 547=7 $;*D97 & <97*
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1
- Multiplication: Standard column
method with decimals
$E*;D9E> $
- $;*
C9 989* $;*D 547=7 $;*D97 & <97*
A$ <E97*
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∗ (% ∗ @ ∗ A ∗ " ∗ F% ∗ 1 ∗ ∗ ! ∗
Division ( Progression
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Division: grouping
!"
- #
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Division: repeated subtraction
#
- 7*=89897
20÷4=5
?* ?* ?* ?* ?*
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Division: repeated subtraction
22÷4=5r2
?* ?* ?* ?* ?*
79878*8=99
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Division: chunking
98 * =* ? *7
*D876*710
**
**
? *7
*D876*710
*
*
? *
*D86*1
77
21 89
84÷4=
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Division: chunking
89 9* 9== ? 9*7
9*D8769*710
*=*= ? *=
9*D96*=2
77
12 89
288÷24=
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Division: traditional method
89 9* 99=*=
9*99 =9=9*9= *!* =*=9**=
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Division: traditional method with remainders and decimals
89= 9* 99<;
- =
- %
89= 89=,9* 898,$
- 89E$$$$
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∗ Year 2: 2X 5X 10X ∗ Year 3: 2X 3X 4X 5X 8X 10X ∗ Year 4: Derive and recall division facts for all tables up to 12 x 12 ∗ Year 5 and 6: Derive and recall quickly all division facts for tables up to 12 x 12
Know your tables
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How to help your child with mathematics
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∗ ! ∗ ∗ ) ∗ )
- ∗
- ∗ B
- ∗ G
D / ∗ +
- Parents can help by …
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