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EA/AA
Number:
Addition/Subtraction
W.A.L.T.
Use a limited range of mental strategies to estimate answers and solve addition or subtraction problems.
Strategies with multi-digit numbers involve using tens and hundreds as that can be partitioned,
e.g., 43 + 25 = (40 + 20) + (3 + 5) = 60 + 8 = 68
(standard partitioning)
or 39 + 26 = 40 + 25 = 65
(rounding and compensation)
or
84 – 8 as 84 – 4 – 4 = 76 (back through ten).
e.g., 324 – 86 = 300 – 62 = 238 (standard place value partitioning)
Estimate answers and solve addition and subtraction tasks involving whole numbers mentally by choosing appropriately from a broad range of advanced mental strategies,
Multiplication/Division
W.A.L.T.
Multiplication by Repeated Addition
Use a combination of known multiplication facts and repeated addition,
e.g., 4 x 6 as (6 + 6) + (6 + 6) = 12 + 12 = 24.
Uses known multiplication and repeated addition facts to work the result of division, e.g., 20 ÷ 4 = 5 because 5 + 5 = 10 and 10 + 10 = 20.
Use a combination of known facts and mental strategies to derive answers to multiplication and division problems,
e.g., 4 x 8 = 2 x 16 = 32 (doubling and halving),
e.g., 9 x 6 is (10 x 6) – 6 = 54 (rounding and compensating),
e.g., 63 ÷ 7 = 9 because 9 x 7 = 63 (reversibility).
Fractions/Ratios/Proportions
W.A.L.T.
Fraction of a Number by Addition
Find a fraction of a number and solve division problems with remainders
mentally using halving, or deriving from known addition facts,
e.g., 1/3 of 12 is 4 because 3 + 3 + 3 = 9, so 4 + 4 + 4 = 12;
e.g., 7 pies shared among 4 people (7 ÷ 4) by giving each person 1 pie, and 1/2 pie, then 1/4 pie.
Find a fraction of a number by addition and multiplication
Use repeated halving or known multiplication and division facts to solve problems that involve finding fractions of a set or region, renaming improper fractions, and division with remainders,
Knowledge
W.A.L.T.
Identify:
• all of the numbers in the range 0–1000;
• symbols for the most common fractions,including at least halves, quarters, thirds, fifths, and tenths;
• symbols for improper fractions, e.g., 4/3 .
Know:
• the number word sequences, forwards and backwards, by ones, tens, and hundreds in the range 0–1000;
• the number 1, 10, 100 before and after a given number in the range 0–1000;
• the skip-counting sequences, forwards and backwards, in the range 0–100 for twos, threes, fives, and tens.
Order:
• numbers in the range 0–1000;
• fractions with like denominators, e.g., 1/4 , 2/4, 3/4 ,
Know:
• groupings within 100, e.g., 49 and 51 (particularly multiples of 5, e.g., 25 and 75);
• groupings of two that are in numbers to 20, e.g., 8 groups of 2 in 17;
• groupings of five in numbers to 50, e.g., 9 groups of 5 in 47;
• groupings of ten that can be made from a three-digit number, e.g., tens in 763 is 76;
• the number of hundreds in centuries and thousands, e.g., hundreds in 800 is 8 and in 4000 is 40.
Round:
• three-digit whole numbers to the nearest 10 or 100 e.g., 561 rounded to the nearest 10 is 560 and to the nearest 100 is 600.
Measurement:
convert between metres and centimetres
measure accurately using metres, centimetres and millimetres
perform addition calculations to find perimeters of objects
make estimates of lengths and areas
measure using a variety of techniques to check their estimates