YEAR 5 · NSW STAGE 3

Mathematics

A little practice. A world of possibilities.

YOUR STUDY YEAR

Year 1 Year 2 Year 3 Year 4 Year 5 Year 6

FoundationDepthEnrichment8 sections · Your supplied curriculum

About Year 5 Maths and the teaching plan

The national Year 5 reference develops factors and multiples, larger calculations, decimal place value, related-denominator fractions, familiar percentages, inverse multiplication/division, metric measurement, perimeter/area, 12/24-hour time, measured angles, nets, transformations, grid coordinates, statistical investigations and chance experiments. Illustrative anchors: AC9M5N02, AC9M5N04, AC9M5N05, AC9M5A02, AC9M5M04, AC9M5SP01 and AC9M5ST02. Entry check: confirm multiplication/division fluency, fraction equivalence, decimal ordering, scale reading and systematic working. Programme destination: explain and connect primary concepts well enough to approach unfamiliar problems without being told which operation to use. Preview selected Year 6 foundations only after their prerequisites are secure; keep these previews distinct from optional secondary enrichment.

F = Foundation; D = Depth; E = Enrichment. These are this programme’s teaching labels, not official NSW outcome classifications. NSW stages span two years; an E label does not remove school-required content. Use explanations and transfer as well as test scores to judge readiness.

Term / weeks	Teaching focus	Evidence to look for
T1 / 1–2	1: diagnostic and facts. 2: efficient multi-digit multiplication.	Explain a strategy and estimate its result.
T1 / 3–4	3: division methods. 4: practical remainders.	Distinguish vehicles needed from boxes completely filled.
T1 / 5–6	5: factors and multiples. 6: divisibility and cycle problems.	Organise factor pairs without omissions.
T1 / 7–8	7: inverse numerical equations. 8: linked bar models, E where appropriate.	Check every condition in a solution.
T1 / 9–10	9: money and modelling. 10: cumulative checkpoint.	State units and justify rounding.
T2 / 1–2	1: mixed numbers and equivalence. 2: related-denominator addition.	Explain the common fractional unit.
T2 / 3–4	3: fractional subtraction. 4: decimal place value and ordering.	Use a number line rather than digit-count rules.
T2 / 5–6	5: familiar percentages. 6: fraction–decimal–percentage connections.	Name the whole in each question.
T2 / 7–8	7: fractional quantities. 8: unitary/ratio investigation, E.	Explain scaling with a bar or table.
T2 / 9–10	9: mixed proportional problems. 10: cumulative checkpoint.	Choose a method without a topic label.
T3 / 1–2	1: metric choices and precision. 2: regular/irregular perimeter and area.	Distinguish boundary from coverage.
T3 / 3–4	3: 12/24-hour notation. 4: timetables and waiting times.	Draw a complete journey timeline.
T3 / 5–6	5: protractor use. 6: nets and objects.	Justify an angle reading and a net prediction.
T3 / 7–8	7: coordinates and translations. 8: reflections and rotations.	Specify a transformation precisely.
T3 / 9–10	9: spatial investigation. 10: cumulative checkpoint.	Connect a model, drawing and calculation.
T4 / 1–2	1: data types and collection. 2: line graphs and distributions.	Make a claim supported by the collected data.
T4 / 3–4	3: mode and display critique. 4: mean/median investigation, E.	Explain when a summary misleads.
T4 / 5–6	5: sample spaces. 6: repeated experiments and variation.	Distinguish possible from equally likely.
T4 / 7–8	7: mixed unfamiliar reasoning. 8: targeted preview of ready Year 6 foundations.	Record remaining gaps by strand, not only total score.
T4 / 9–10	9: cumulative checkpoint. 10: reflection and personalised Year 6 plan.	Demonstrate delayed retention and identify next priorities.

Term / weeks

Teaching focus

Evidence to look for

T1 / 1–2

1: diagnostic and facts. 2: efficient multi-digit multiplication.

Explain a strategy and estimate its result.

T1 / 3–4

3: division methods. 4: practical remainders.

Distinguish vehicles needed from boxes completely filled.

T1 / 5–6

5: factors and multiples. 6: divisibility and cycle problems.

Organise factor pairs without omissions.

T1 / 7–8

7: inverse numerical equations. 8: linked bar models, E where appropriate.

Check every condition in a solution.

T1 / 9–10

9: money and modelling. 10: cumulative checkpoint.

State units and justify rounding.

T2 / 1–2

1: mixed numbers and equivalence. 2: related-denominator addition.

Explain the common fractional unit.

T2 / 3–4

3: fractional subtraction. 4: decimal place value and ordering.

Use a number line rather than digit-count rules.

T2 / 5–6

5: familiar percentages. 6: fraction–decimal–percentage connections.

Name the whole in each question.

T2 / 7–8

7: fractional quantities. 8: unitary/ratio investigation, E.

Explain scaling with a bar or table.

T2 / 9–10

9: mixed proportional problems. 10: cumulative checkpoint.

Choose a method without a topic label.

T3 / 1–2

1: metric choices and precision. 2: regular/irregular perimeter and area.

Distinguish boundary from coverage.

T3 / 3–4

3: 12/24-hour notation. 4: timetables and waiting times.

Draw a complete journey timeline.

T3 / 5–6

5: protractor use. 6: nets and objects.

Justify an angle reading and a net prediction.

T3 / 7–8

7: coordinates and translations. 8: reflections and rotations.

Specify a transformation precisely.

T3 / 9–10

9: spatial investigation. 10: cumulative checkpoint.

Connect a model, drawing and calculation.

T4 / 1–2

1: data types and collection. 2: line graphs and distributions.

Make a claim supported by the collected data.

T4 / 3–4

3: mode and display critique. 4: mean/median investigation, E.

Explain when a summary misleads.

T4 / 5–6

5: sample spaces. 6: repeated experiments and variation.

Distinguish possible from equally likely.

T4 / 7–8

7: mixed unfamiliar reasoning. 8: targeted preview of ready Year 6 foundations.

Record remaining gaps by strand, not only total score.

T4 / 9–10

9: cumulative checkpoint. 10: reflection and personalised Year 6 plan.

Demonstrate delayed retention and identify next priorities.

Mathematics

Suggested 40-week sequence

Number structure and efficient computation

Fractions, decimals, percentages and proportional ideas

Equations, bar models and generalisation

Measurement, timetables and financial modelling

Nets, transformations, coordinates and angles

Data distributions and critical interpretation

Sample spaces and chance experiments

Connected problem-solving and logical constraints