Tapatoru L.O.s

AA

ADDITION AND SUBTRACTION

Advanced Addition and Subtraction of Whole Numbers (Revision)

The student can 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.,63 – 39 = 63 – 40 + 1 = 24 (roundingand 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 (roundingand compensating).

MULTIPLICATION AND DIVISION

Derived Multiplication (Revision)

The student uses 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).

PROPORTIONS AND RATIOS

Fraction of a Number by Addition and Multiplication

The student uses 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).

The student uses repeated replication to solve simple problems involving ratios and rates, e.g. 2:3 ➝ 4:6 ➝ 8:12 etc.