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AA/Early AM
Number:
Addition/Subtraction
W.A.L.T.
Estimate answers and solve addition and subtraction tasks involving whole numbers mentally by choosing appropriately from a broad range of advanced mental strategies,
e.g., 43 + 25 = (40 + 20) + (3 + 5) = 60 + 8 = 68 (standard partitioning)
or 39 + 26 = 40 + 25 = 65 (rounding and compensation)
e.g., 63 –39 = 63 – 40 + 1 = 24 (rounding and compensating)
or 39 + 20 + 4 = 63, so 63 – 39 = 24 (reversibility)
or 64 – 40 = 24 (equal additions)
e.g., 324 – 86 = 300 – 62 = 238 (standard place value partitioning)
or 324 – 100 + 14 = 238 (rounding and compensating).
Multiplication/Division
W.A.L.T.
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.
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,
e.g., 1/3 of 36, 3 x 10 = 30, 36 – 30 = 6, 6 ÷ 3 = 2, 10 + 2 = 12
e.g., 16/3 = 5 1/3 (using 5 x 3 = 15)
e.g., 8 pies shared among 3 people (8 ÷ 3) by giving each person 2 pies and dividing the remaining 2 pies into thirds (answer: 2 + 1/3 + 1/3 = 2 2/3).
Use repeated replication to solve simple problems involving ratios and rates, e.g. 2:3 ➝ 4:6 ➝ 8:12 etc.
Knowledge
W.A.L.T.
Identify:
• all of the numbers in the range 0–1 000 000;
• decimals to three places;
• symbols for any fraction including tenths, hundredths, thousandths, and improper fractions.
Order:
• whole numbers in the range 0–1 000 000;
• unit fractions for halves, thirds, quarters, fifths, and tenths.
Know:
• groupings within 1000, e.g., 240 and 760, 498 and 502, ...;
• groupings of two, three, five, and ten that are in numbers to 100 and find the resulting remainders, e.g., threes in 17 is 5 with 2 remainder, fives in 48 is 9 with 3 remainder.
• groupings of 10 and 100 that can be made from a four-digit number, e.g., tens in 4562 is 456 with 2 remainder, hundreds in 7894 is 78 with 94 remainder.
• tenths and hundredths in decimals to two places, e.g. tenths in 7.2 is 72, hundredths in 2.84 is 284.
Recall:
• addition and subtraction facts up to 20,
• multiplication basic facts up to the 10 times tables (10 x 10) and some corresponding division facts;
• multiplication basic facts with tens, hundreds and thousands, e.g., 10 x 100 = 1000, 100 x 100 = 10 000
Measurement:
use metric and other standard measures
make simple conversions between units, using decimals
use side or edge lengths to find the perimeters and areas of rectangles, parallelograms, and triangles and the volumes of cuboids