Maths Builder resources supporting Stage 3 of the NSW Mathematics syllabus

Stage 3 refers to work usually covered in Years 5 and 6.

Each NESA content heading below (shown in blue), is followed by the Maths Builder content, e-Text pages and worksheets, that relate to that syllabus heading.

The A references of the NESA content headings refer to Year 5 expectations.
The B references of the NESA content headings refer to Year 6 expectations.

Maths Builder content at Year 5 (e-Text 5) relates more closely to the A references of the NESA content headings (eg ‘Additive relations A’).
Maths Builder content at Year 6 (e-Text 6) relates more closely to the B references of the NESA content headings (eg ‘Additive relations B’).

Teachers should choose the worksheets appropriate to their students’ needs.

Stage 3: Year 5 (A) and Year 6 (B) are shown below.

Year 5 is highlighted below (the A headings).

NESA

Number and algebra

Represents numbers A

Year 5

Maths Builder

Whole numbers: to 1 billion, place-value rounding

Other resources

Compare and order decimals

Year 5 e-Text pages: 9-10 (2 worksheets)

NESA

Number and algebra

Represents numbers B

Maths Builder

Whole numbers: integers (positive and negative whole numbers), number line

Percentage discounts (10%, 25%, 50%)

Year 6 e-Text pages: 82-83 (2 worksheets)

NESA

Number and algebra

Additive relations A

Year 5

Maths Builder

NESA

Number and algebra

Additive relations B

Maths Builder

NESA

Number and algebra

Multiplicative relations A

Year 5

Maths Builder

NESA

Number and algebra

Multiplicative relations B

Maths Builder

Multiplication/division: using strategies and word problems

Other resources

  • Equivalent number sentences, finding missing numbers: e-Text 5 pp 74-75 (Year 5 e-Text)

Number patterns and number sentences

Year 5 e-Text pages: 19 (1 worksheet)

Other resources

Order of operations

NESA

Number and algebra

Representing quantity fractions A

Year 5

Maths Builder

NESA

Number and algebra

Representing quantity fractions B

NESA

Measurement and space

Geometric measure A

Year 5

Maths Builder

Position: Cartesian coordinates using first quadrant

Year 5 e-Text pages: 104, 125-126 (3 worksheets)

Length: m, km, cm, mm, perimeters, measuring

Year 6 e-Text pages: 106-107 (2 worksheets)

Right angle, straight angle revolution, acute angle, obtuse angle, reflex angle

NESA

Measurement and space

Geometric measure B

Maths Builder

Position: Cartesian coordinates using all 4 quadrants

Other resources

Length: lengths and distances using metric units, conversion between units, problem solving

Year 5 e-Text pages: 83 (1 worksheet)

NESA

Measurement and space

Two-dimensional spatial structure A

Year 5

NESA

Measurement and space

Two-dimensional spatial structure B

Maths Builder

2D space: dissect and rearrange 2D shapes using transformations, reflections, rotations

Area: area of composite figures, parallelograms and triangles

Other resources

NESA

Measurement and space

Three-dimensional spatial structure A

Year 5

Maths Builder

Volume/capacity: capacity (mL, L), write litres using 3 decimal places

Year 5 e-Text pages: 80, 132 (2 worksheets)

Volume/capacity: investigate the volume of solids by displacement

Year 6 e-Text pages: 142 (1 worksheet)

Other resources

NESA

Measurement and space

Three-dimensional spatial structure B

Maths Builder

3D space: construct 3D models of prisms and pyramids

Year 5 e-Text pages: 124 (1 worksheet)

NESA

Measurement and space

Non-spatial measure A

Year 5

Maths Builder

Mass: the tonne (t), measure and record mass using decimals

Year 6 e-Text pages: 94, 103 (2 worksheets)

12- and 24-hour time, timetables

Year 5 e-Text pages: 77-79 (3 worksheets)
Year 6 e-Text pages: 112-113 (2 worksheets)

Other resources

  • Time Zones and Daylight Savings: e-Text 5 pp139-140 (Year 5 e-Text)

NESA

Measurement and space

Non-spatial measure B

Maths Builder

Mass: conversions, grams, kilograms and tonnes, problems

Year 5 e-Text pages: 131 (1 worksheet)

Time: duration problems using 12- and 24-hour time, elapsed time

Year 5 e-Text pages: 79 (1 worksheet)
Year 6 e-Text pages: 112-113, 148-149 (4 worksheets)

NESA

Statistics and probability

Data A

Year 5

NESA

Statistics and probability

Data B

Maths Builder

Statistics (Data): interpret and compare data displays

Year 5 e-Text pages: 15 (1 worksheet)

Sources of bias and misleading data displays

NESA

Statistics and probability

Chance A

Year 5

NESA

Statistics and probability

Chance B

Maths Builder

Probability (Chance): frequency of an outcome, expected results, random generators, chance experiments with small and large numbers of trials

NESA content headings: NSW Curriculum K–10 / Mathematics K–10 Syllabus, year of publication 2022.

© NSW Education Standards Authority for and on behalf of the Crown in right of the State of New South Wales