The document outlines an 8 stage numeracy framework for developing students' mathematical skills. It describes the key skills and strategies associated with each stage, from an emergent stage where students are just learning to count objects, to advanced stages where students can use mental strategies to solve complex problems involving fractions and decimals. It also notes the expected stage for students at the end of each school year level.

1. The Numeracy
Framework
A brief overview of the Strategy
Framework

2. Stage 0: Emergent
The student is unable to
consistently count a given number
of objects because they lack
knowledge of counting sequences
and/or one-to-one correspondence.

3. Stage 1: One-to-one counting
The student is able to count a set of
objects or form sets of objects but
cannot solve problems that involve
joining and separating sets.

4. Stage 2: Counting from one on materials
The student is able to count a set of
objects or form sets of objects to solve
simple addition and subtraction
problems.
The student solves problems by
counting all the objects.

5. Stage 3: Counting from one by imaging
The student is able to visualise sets of
objects to solve simple addition and
subtraction problems.
The student solves problems by
counting all the objects.

6. Stage 4: Advanced counting
The student uses counting on or
counting back to solve simple addition or
subtraction tasks.

7. Stage 5: Early additive part-whole
The student uses a limited range of mental
strategies to estimate answers and solve
addition or subtraction problems. These
strategies involve deriving the answer from
known basic facts (for example doubles, fives,
making tens).

8. Stage 6: Advanced additive/early multiplicative
part-whole
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 (for
example place value positioning, rounding and
compensating or reversibility).
It is important to note that algorithms
should not be introduced until this stage.

9. Stage 7: Advanced multiplicative part-whole
The student can choose appropriately from
a range of mental strategies to solve
addition and subtraction problems involving
decimals, integers, and related fractions.

10. Stage 8: Advanced proportional part-whole
The student can estimate answers and
solve problems involving the multiplication
and division of fractions and decimals using
mental strategies. These strategies involve
recognising the effect of number size on the
answer and converting decimals to fractions
where appropriate.

11. Knowledge
•It is really important to note that within each
of the 8 stages, there is a wide range of
knowledge that the students should know.
•This is to ensure they are able to confidently
use the strategies they are learning.

12. Strand
Integrated throughout the year the following
strands are also taught through the mathematics
programme:
•Statistics
•Measurement and
•Geometry
Ideally, this is integrated into Number work as
much as possible.

13. End of Year Expectations in relation to
National Standards
Year 1 Stage 3
Year 2 Stage 4
Year 3 Stage 5
Year 4 Stage 5
Year 5 Stage 6
Year 6 Stage 6/7