| A | B | C | D | E | ||
|---|---|---|---|---|---|---|
1 |  | NZ Curriculum Math Progressions | Strategy | ||||
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4 | Level 1 | Level 2 | Level 3 | Level 4 | ||
5 | Stage 4 | Stage 5 | Stage 6 | Stage 7 | ||
6 | End of Year 2 | End of Year 3 & 4 | End of Year 5 & 6 | End of Year 7 & 8 | ||
7 | Addition & Subtraction | Add by Counting On 16+3=17,18,19 | Doubles 8+7=8+8-1 | Compensation 394+79=(394+80)-1 | Compensation 3.2+1.95=(3.2=2)-0.05 | |
8 | Subtract by Counting back 32-3=31,30,29 | Fives 8+7=5+3+5+2 | Place Value Partitioning 394+79 = 390+70+9+4 | Place Value Partitioning 8.65+4.2=8+4+0.6+0.2+0.05 | ||
9 | Add by Counting on in 10s 36+40=46,56,66 | Making Tens 8+7=8+2+5 | Compatible Numbers 45+37+65=(45+65)+37 | Negatives (Integers) 6.4-7.2=0.6 | ||
10 | Subtract by Counting Back in 10s 72-30=62,52,42 | Tidy Numbers (2 & 3 digit) 29+18 as 30+17 | Reversibility 403-97=97+?=403 | Reversibility 6.03-5.8=5.8+?=6.03 | ||
11 | Place Value (2 & 3 digit) 33+16 as 30+10+3+6 | Equal Additions 404-97=406-100 | Equal Additions 7.2-3.7=7.5-4=3.5 | |||
12 | Standard written form for addition | Standard form for + decimals | ||||
13 | Standard written form for subtraction | Standard form for - decimals | ||||
14 | Simple equivalent fractions 3/4+3/8=6/8+3/8=9/8 | |||||
15 | Multiplication & Division | Skip Counting 4x5=5,10,15,20 | Repeated Addition 8x5=5+5=10 so 10+10+10+10=40 | Doubling 8x3=2x(4x3) | Place Value 28x7=(20x7)+(8x7) 72÷4=(40÷4)+(32÷4) | |
16 | Adding & Subtraction 8x3=(7x3)+3 | Proportional Adjustment 75x4=25x12 81÷3=(81÷9)x3 | ||||
17 | Reversing 63÷9=9x?=63 | Reversibility 63÷9=9x?=63 | ||||
18 | Doubling & Halving 3x12=6x6 | Remainders as fractions, decimals or whole numbers 38÷6=6r2 or 6-1/3 or 6.33 | ||||
19 | Rounding/Compensation 9x6=(10x6)-6 | Compensation 19x6=(20x6)-6 56÷4=(60÷4)-1 | ||||
20 | Multiply by tens and hundreds 70x5=7x5x10 | Standard written form for x & ÷ | ||||
21 | Fractions | Find 1/2 and 1/4 of sets & shapes by equal sharing | Find a fraction on a number by trial and improvement with addition facts 1/3of12=4+4+4=12 so 1/3 is 4 | Find fractions of whole numbers 3/4 of 24=? 3/4 of ?=21 | Unit Fractions 5/8x72=5x(1/8x72) | |
22 | Find fractions of shapes and lengths including fractions greater than 1 | Solve simple equivalent ratio and rate problems 2:3 so ?:6 | Place Value 3.4x8=(3x8)+(0.4x8) | |||
23 | Compare fraction sizes with whole numbers 37/7=5-2/7 | Compensation 2.9x6.3=(3x6.3)-(0.1x6.3) | ||||
24 | Equivalent fractions 40% of 35 = 2/5 of 35 | |||||
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