Number Strategies; Curriculum Levels; and Stages:
Number strategies are the mental strategies that students use to estimate answers and solve problems
within the operational domains of addition and subtraction, multiplication and division, and
proportions and ratios.
Stage 1 One-to-one Counting
Stage 2 Counting from One on Materials
Stage 3 Counting from one by imaging
At this stage in the number strategy progression, students are able to count a set of objects orform sets of objects to solve simple addition and subtraction problems. They solve problems
by counting all the objects.
Stage 4 Advanced counting
At this stage in the number strategy progression, students are able to use counting on orcounting back to solve simple addition or subtraction problems.
Stage 5 Early additive
At this stage in the number strategy progression, students are able to use a limited range ofmental strategies to estimate answers and solve addition or subtraction problems. These
strategies involve deriving the answer from known basic facts (for example, doubles, fives,
and making tens).
Stage 6 Advanced additive and early multiplicative
At this stage in the number strategy progression, students are able to choose appropriatelyfrom a broad range of advanced mental strategies to estimate answers and solve addition and
subtraction problems involving whole numbers (for example, place value positioning, rounding,
compensating, and reversibility). They use a combination of known facts and a limited range
of mental strategies to derive answers to multiplication and division problems (for example,
doubling, rounding, and reversibility).
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