Stage 7 Advanced Additive to advanced Multiplicative
Knowledge
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Read and Order decimals to three places, e.g. 6.25 < 6.3 < 6.402
Know Equivalent fractions including halves, thirds, quarters, fifths, tenths, hundredths,e.g.  =  and  = 75% = 0.75
Know How many  ’s, 10’s, 100’s and 1000’s are in whole numbers up to 1000 000, e.g. 387.9 tenths are in 3879.
Recall All the basic multiplication and division facts up to 10 × 10 = 100, and 100 ÷ 10 = 10, e.g. 6 × 9 = 54, 72 ÷ 8 = 9
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Strategy
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Solve + and – problems with fractions, decimals, and integers by:
Splitting fractions and using equivalent fractions, e.g.  +  = o as ( +  ) +  = ( +  ) +  = 1 .
Using standard place value, reversing, and tidy numbers with decimals, e.g. 2.4 – 1.78 = o as 1.78 + o = 2.4 or 2.4 – 1.8 + 0.02 = 0.62.
Recognising equivalent operations with integers, e.g. +5 - -3 = o has the same answer as +5 + +3 = +8
Solve × and ÷ problems with whole numbers by:
Using standard place value (100’s, 10’s, 1’s), e.g. 7 × 56 = o as 7 × 50= 350, 7 × 6 = 42, and 350 + 42 = 392, or 168 ÷ 7 = o as 140 ÷ 7 = 20, 28 ÷ 7 = 4, 20 + 8 = 28
Compensating from tidy numbers,
e.g. 252 ÷ 9 = o as 270 ÷ 9 = 30 so 252 ÷ 9 = 28
Splitting factors, e.g. 544 ÷ 16 = o as 544 ÷ 2 ÷ 2 ÷ 2 ÷ 2 = 4
Solve problems with fractions by: 1.Finding equivalent ratios, e.g. 2:3 is equivalent to 8:12 in the same way as  =  2. Expressing division answers and remainders as mixed numbers and fractions, e.g. 24 ÷ 5 =  = 4 .
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