Stage 6 Early Additive to Advanced Additive
Knowledge
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Read and Write
v Whole numbers up to 1 000 000 Decimals to 3 places
v Symbols for any fraction including tenths, hundredths, thousandths, and improper fractions
Say The numbers up to 1 000 000, forwards and backwards
v In 1s, 10s, 100s, 1 000s,
Say From a given number in the range 1 – 1 000 000 what number comes
v 1 before/after 10 before/after
v 100 before/after 1 000 before/after
Say Forwards and backwards fraction word sequences
v halves quarters thirds, fifths tenths
Say Forwards and backwards decimal word sequences
v tenths, e.g., 7. 74, 7.84, 7.94, 8.04 hundredths, e.g., 2.58, 2.59, 2.60, 2.61.
Order Whole numbers up to 1 000 000,
Order Unit fractions for halves, thirds, quarters, fifths, and tenths, including fractions with the same numerator or denominator e.g.
 <  and  <  .
Know How many 10’s and 100’s are in whole numbers up to 10 000, e.g. 734 tens are in 7 340. 73 hundreds are in 7 340
Know How many tenths and hundredths in decimals to 2 places, e.g., Tenths in 7.2 is 72 Hundredths in 2.84 is 284
Round Whole numbers to the nearest
v 10 100, 1 000 Decimals with up to the nearest whole number, e.g.,6.49 to 6 19.91 to 20
Read and order Fractions with the same numerator or denominator,e.g.
 <  and  <  .
Recall Basic Facts All the basic addition and subtraction facts up to 20, e.g. 13 – 5 = 8 and 8 + 6 = 14.
All the basic multiplication facts up to 10 × 10 = 100 Some corresponding division basic facts Multiplication basic facts with
v Tens Hundreds thousands
Record The results of calculations using +, -, x & ¸ equations
v calculations on a number line or with a diagram
v column addition and subtraction with whole numbers of up to four digits
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Strategy
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Solve + and – problems by:Estimate and solve addition and subtraction tasks involving whole numbers by choosing appropriately from a broad range of advanced mental strategies,
1.Standard Place Value, (Joining and separating 100s, 10s and 1s ) e.g.,
v 987 – 346 = ( 900 – 300 ) + (80 - 40 ) + (7 – 6 ) = 641
v 724 – 206 = o as 724 – 200 = 524,
524 – 6 = 518.
2.Equal Additions, e.g. v 63 – 39 = 64 – 40 = 24
3.Compensating from tidy numbers, e.g. 834 – 479 = o as 834 – 500 + 21 = 355.
4.Reversing the operation, e.g. 834 – 479 = ? as 479 + ? = 834.
Solve × and ÷ problems by:Use a combination of known facts and mental strategies to derive answers to multiplication and division problems,
1.Splitting one factor into parts, e.g. 8 × 13 = (8 × 10) + (8 × 3).
2.Doubling and halving, e.g. 24 × 5 = 12 × 10 = 120.
3.Reversing the operation for division, e.g. 63 ÷ 7 = o using 9 × 7 = 63
4.Rounding and compensating, e.g., 9 X 6 is ( 10 x 6 ) – 6 = 54
Find a unit fraction of:
1. A set using multiplication or repeated halving, e.g.,
 of 35 using 5 × 7 = 35 and 1/3 of 36, 3 x 10 = 30, 36 – 30 = 6, 6 ¸ 3 = 2, 10 + 2 = 12
2.Renaming improper fractions, e.g., 16/3 = 5 1/3 (using 5 x 3 = 15 )
3.Division with remainders, e.g., 8 pies shared among 3 people (8 ¸ 3 ) by giving each person 2 pies and dividing the remaining
92 pies into thirds (answer: 2 + 1/3 + 1/3 = 2 2/3
4.Use repeated replication to solve simple problems involving ratios and rates, e.g.,2:3 ® 4.6 ® 8:12, etc
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