Strand: Number

Identifying and ordering numbers

Whole numbers

Fractions, percentages, and decimals

View exemplar set: Fractions

View fractions progression

Identify half or quarter of a region orally.

Assign symbols for unit fractions to regions.

Level 3i: Order unit fractions and fractions with like denominators.
Level 3ii: Order fractions with unlike denominators and numerators. Name equivalent fractions.

Convert fractions, decimals, and percentages.

Operating with numbers

Whole numbers

View exemplar set: Number strategy

View number strategy progression

Level 1i: Counting from one.
Level 1ii: Advanced counting (counting on).

Early additive (part-whole).

Advanced additive and early multiplicative (part-whole).

Level 3/4: Advanced multiplicative (part-whole).

Level 4/5: Advanced proportional (part-whole).

Fractions, percentages, and decimals

Estimating

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Strand: Measurement

Measurement

Time

Metric measurement (length, mass, area, volume, temperature)

View exemplar set: Measuring

View measuring progression

Level 1i: Directly compare two lengths.
Level 1ii: Indirectly compare two lengths by using a third length.
Level 1iii: Make repeated use of a non-standard unit to compare two lengths.

Use standard units and whole numbers to measure length, for example, 9cm, 2m.

Select units and methods of measurement that are accurate enough for the task and that may include decimal notation of part units, for example, 5.6cm, 9 hand spans, 8.4km.

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Strand: Geometry

Identifying shapes and their properties

Angle

Two and three dimensional shapes

Operating with shapes

Symmetry and transformations

View exemplar set: Tessellations

View tessellations progression

Fit shapes together to tessellate, that is, to cover a flat surface with no gaps or overlaps.

Identify common shapes that tessellate.

Use knowledge of right angles to explain why some shapes tessellate.

Use knowledge of angles to explain that tessellating shapes fit around a point.

Use interior angles to explain why a shape will or will not tessellate.

Construction and drawing

Position

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Strand: Algebra

Patterns in number

Number properties

Sequential and repeating patterns

View exemplar set: Exploring patterns

View exploring patterns progression

Copy given elements in a pattern and work out and show the next element in the pattern.

Use systematic counting to continue a pattern and find number values.

Recognise relationships between successive elements in a pattern. Use a table to list values.

Explain a rule to predict the value of any given element in a pattern. Work out the value of a given element without relying on using the previous element.

Level 5i: State and use an algebraic expression for a relationship, using symbols and the variable "n".
Level 5ii: Use the equation for a pattern to solve a range of problems related to that pattern.

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Strand: Statistics

Statistical investigation

Investigation

View exemplar set: Data display

View data display progression

Sort objects or whole-number data into groups and talk about the results. Count objects or whole numbers in the groups to compare the groups.

Group and organise category data and present it in an organised way, for example, as a tally chart, a pictogram, or a bar graph.

Choose and use an appropriate format for displaying discrete data, including, among other possible choices, bar graphs and stem-and-leaf graphs.

Present statistical data in a variety of ways, for example, simple comparative data in back-to-back stem-and-leaf graphs.

Present comparative data in appropriate statistical displays, for example, back-to-back stem-and-leaf graphs and box-and-whisker plots.

Interpretation

Probability

Trial

Model

View exemplar set: Probability

View probability progression

Level 1/2:
Understand that some events are more likely than others. Use a range of language to express the likelihood of an event occurring in a practical experiment.

Level 3i: Assign numerical probability values to simple events.
Level 3ii: Identify all possible outcomes of more complex events by using, for example, systematic listing, tree diagrams, or tables.

Use the possible outcomes to assign numerical possibilities to more complex events.

Calculate the possibility of sequences of events where listing outcomes would be impractical, for example, by using probability trees.

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