Maths Builder

Maths Builder resources supporting Year 5 of the Australian Mathematics Curriculum

Each ACARA content description below (shown in teal), is followed by the Maths Builder content, e-Text pages and worksheets, that relate to that content description.

Maths Builder content at Year 5 (e-Text 5) relates most closely to the Year 5 content descriptions.

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

See ‘Mentals 5’ on the homepage.

Number

ACARA

Number

AC9M5N01

interpret, compare and order numbers with more than 2 decimal places, including numbers greater than one, using place value understanding; represent these on a number line

Maths Builder

decimals to 3 decimal places

Year 5 e-Text pages: 8 -10, 26-30, 41-44, 49 (13 worksheets)
Roman numerals: e-Text 5 p 49 (1 worksheet)
(Year 5 e-Text)
Metric system and decimals: e-Text 6 pp 139, 140 (2 worksheets)
(Year 6 e-Text)

Other resources

ACARA

Number

AC9M5N03

compare and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line

Maths Builder

compare fractions, mixed numerals, factors and multiples, number line

Year 5 e-Text pages: 11-12, 23-25 (5 worksheets)
Mixed numerals: e-Text 6 pp 58, 59 (2 worksheets)
(Year 6 e-Text)
Multiples, factors and products: e-Text 4 p 85 (1 worksheet)
(Year 4 e-Text)

ACARA

Number

AC9M5N04

recognise that 100% represents the complete whole and use percentages to describe, represent and compare relative size; connect familiar percentages to their decimal and fraction equivalents

Maths Builder

percentages

Year 5 e-Text pages: 8, 48 (2 worksheets)
Percentages: e-Text 6 pp 9-14 (6 worksheets)
(Year 6 e-Text)

Other resources

ACARA

Number

AC9M5N05

solve problems involving addition and subtraction of fractions with the same or related denominators, using different strategies

Maths Builder

+ and – of fractions

Year 5 e-Text pages: 12, 24-25, 43, 50-52, 71-73 (10 worksheets)
+ and – of fractions: e-Text 6 pp 60-66 (7 worksheets)
(Year 6 e-Text)

Other resources

ACARA

Number

AC9M5N06

solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers

Maths Builder

x by 1- and 2-digit numbers, extended multiplication

Year 5 e-Text pages: 5, 20-22, 33, 38-40, 58, 66-70 (14 worksheets)
Multiplication algorithm: e-Text 6 pp 37-40, 43- 49, 90 (12 worksheets)
(Year 6 e-Text)

ACARA

Number

AC9M5N07

solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction

Maths Builder

division

Year 5 e-Text pages: 4, 34-37, 53-57, 59-63 (15 worksheets)
Division: e-Text 4 pp 73-74, 83-84 (4 worksheets)
(Year 4 e-Text)
e-Text 6 pp 3-7, 41-42, 67, 69-70, 91-92 (12 worksheets)
(Year 6 e-Text)

ACARA

Number

AC9M5N08

check and explain the reasonableness of solutions to problems including financial contexts using estimation strategies appropriate to the context

Maths Builder

+, –, x, ÷ calculations, estimation, rounding

Year 5 e-Text pages: 1, 13-18, 21-22, 31-32, 33, 46-47, 54, 62 (16 worksheets)
Rounding: e-Text 4 p 26, 36 (2 worksheets)
(Year 4 e-Text)
Estimating + and –: e-Text 4 pp 56-57 (2 worksheets)
(Year 4 e-Text)
Estimating x and ÷: e-Text 6 pp 50, 51 (2 worksheets)
(Year 6 e-Text)

Other resources

ACARA

Number

AC9M5N09

use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate the problems, choosing operations and efficient calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation

Maths Builder

use +, –, x and ÷ to solve problems, strategies

Year 5 e-Text pages: Problem solving: 16-17, 22, 31-32, 34, 36, 40, 47-48, 59, 64-65, Addition: 1, 2, 13-17, 31-32, 45, 47, 64, Subtraction: 1, 3, 13, 17-18, 32, 45-47, Multiplication: 38-40, 66-68, Division: 4, 34-37, 53-57, 59-63, 69-70 (41 worksheets)
Mental strategies: e-Text 4 pp 9, 18, 34, 55-58, 74, 75, 82 (10 worksheets)
(Year 4 e-Text)
e-Text 6 pp 90-93 (4 worksheets)
(Year 6 e-Text)

ACARA

Number

AC9M5N10

create and use algorithms involving a sequence of steps and decisions and digital tools to experiment with factors, multiples and divisibility; identify, interpret and describe emerging patterns

Maths Builder

factors, multiples and divisibility, patterns

Year 5 e-Text pages: 6, 7, 19 (3 worksheets)
Divisibility: e-Text 6 p 8 (1 worksheet)
(Year 6 e-Text)
Patterns: e-Text 6 pp 84-89 (6 worksheets)
(Year 6 e-Text)

Algebra

ACARA

Algebra

AC9M5A01

recognise and explain the connection between multiplication and division as inverse operations and use this to develop families of number facts

Maths Builder

x and ÷ as inverse operations, families of facts, multiplication tables

Year 5 e-Text pages: 4, 5,19, 35, 47, 74-75 (7 worksheets)
Inverse operations: e-Text 4 p 9 (1 worksheet)
(Year 4 e-Text)
x and ÷ tables: e-Text 4 pp 19-20, 29, 31, 37-38 (6 worksheets)
(Year 4 e-Text)

Other resources

These drill multiplication facts.

ACARA

Algebra

AC9M5A02

find unknown values in numerical equations involving multiplication and division using the properties of numbers and operations

Maths Builder

unknown values in equations, x and ÷

Year 5 e-Text pages: 19, 45, 47, 74-75 (5 worksheets)
Unknown values in equations: e-Text 4 pp 19, 29, 37-40, 74 (7 worksheets)
(Year 4 e-Text)

Measurement

ACARA

Measurement

AC9M5M01

choose appropriate metric units when measuring the length, mass and capacity of objects; use smaller units or a combination of units to obtain a more accurate measure

Maths Builder

units for length, mass and capacity

Year 5 e-Text pages: Length: 80-83, 111, 132, Mass: 84-85, 130-132, Capacity: 80, 107, 128, 132 (12 worksheets)
Units of length: e-Text 4 p 116 (1 worksheet)
(Year 4 e-Text)
Length: e-Text 6 pp 94-97, 105 (5 worksheets)
(Year 6 e-Text)
Mass: e-Text 6 pp 102-104, 120-122 (6 worksheets)
(Year 6 e-Text)

ACARA

Measurement

AC9M5M02

solve practical problems involving the perimeter and area of regular and irregular shapes using appropriate metric units

Maths Builder

perimeter and area

Year 5 e-Text pages: Perimeter: 97, 112-113, Area: 95-98, 114-116 (9 worksheets)
Perimeter: e-Text 4 pp 111, 112, 113 (3 worksheets)
(Year 4 e-Text)
Area: e-Text 4 pp 117, 118, 140, 141, 150 (5 worksheets)
(Year 4 e-Text)

ACARA

Measurement

AC9M5M03

compare 12- and 24-hour time systems and solve practical problems involving the conversion between them

Maths Builder

12- and 24-hour time

Year 5 e-Text pages: 76-79, 138-140 (7 worksheets)
am and pm time: e-Text 4 pp 125, 126 (2 worksheets)
(Year 4 e-Text)
Timetables, timelines, the calendar: e-Text 6 pp 112, 113, 147-149 (5 worksheets)
(Year 6 e-Text)

ACARA

Measurement

AC9M5M04

estimate, construct and measure angles in degrees, using appropriate tools including a protractor, and relate these measures to angle names

Maths Builder

name and measure angles

Year 5 e-Text pages: 87-90, 99-101, 108-110, 117-119, 145-146 (15 worksheets)
Angles: e-Text 6 pp 132-138 (7 worksheets)
(Year 6 e-Text)

Space

ACARA

Space

AC9M5SP01

connect objects to their nets and build objects from their nets using spatial and geometric reasoning

Maths Builder

objects, nets of 3D objects

Year 5 e-Text pages: 91-94, 120-124 (9 worksheets)
3D objects: e-Text 6 pp 98-101 (4 worksheets)
(Year 6 e-Text)

Other resources

ACARA

Space

AC9M5SP02

construct a grid coordinate system that uses coordinates to locate positions within a space; use coordinates and directional language to describe position and movement

Maths Builder

position using coordinates

Year 5 e-Text pages: 102, 103, 104, 125, 126, 141, 142 (7 worksheets)
Coordinates: e-Text 6 pp 125-128, 144-146 (7 worksheets)
(Year 6 e-Text)
e-Text 4 p 104 (1 worksheet)
(Year 4 e-Text)
e-Text 3 pp 110-111 (2 worksheets)
(Year 3 e-Text)

ACARA

Space

AC9M5SP03

describe and perform translations, reflections and rotations of shapes, using dynamic geometric software where appropriate; recognise what changes and what remains the same, and identify any symmetries

Maths Builder

translations, reflections and rotations

Year 5 e-Text pages: 86, 117, 118, 133-137 (8 worksheets)
Transformations: e-Text 6 pp 123, 124 (2 worksheets)
(Year 6 e-Text)
e-Text 4 p 106-110 (5 worksheets)
(Year 4 e-Text)

Statistics

ACARA

Statistics

AC9M5ST01

acquire, validate and represent data for nominal and ordinal categorical and discrete numerical variables to address a question of interest or purpose using software including spreadsheets; discuss and report on data distributions in terms of highest frequency (mode) and shape, in the context of the data

Maths Builder

collecting and using data

Year 5 e-Text pages: 147-151, 156-158, 164, 165 (10 worksheets)
Data: e-Text 6 pp 150, 151, 158, 160, 161, 165 (6 worksheets)
(Year 6 e-Text)

ACARA

Statistics

AC9M5ST03

plan and conduct statistical investigations by posing questions or identifying a problem and collecting relevant data; choose appropriate displays and interpret the data; communicate findings within the context of the investigation

Maths Builder

statistical investigations

Year 5 e-Text pages: 152, 155, 157, 159, 162, 163, 165 (7 worksheets)
Investigations: e-Text 6 pp 150, 155, 157, 167 (4 worksheets)
(Year 6 e-Text)
e-Text 4 p 157 (1 worksheet)
(Year 4 e-Text)

Probability

ACARA

Probability

AC9M5P01

list the possible outcomes of chance experiments involving equally likely outcomes and compare to those which are not equally likely

Maths Builder

possible chance outcomes

Year 5 e-Text pages: 152-155, 160-162 (7 worksheets)
Chance outcomes: e-Text 6 pp 153, 154, 156, 163, 164 (5 worksheets)
(Year 6 e-Text)
Games of chance: e-Text 4 p 162 (1 worksheet)
(Year 4 e-Text)

Other resources

ACARA

Probability

AC9M5P02

conduct repeated chance experiments including those with and without equally likely outcomes, observe and record the results ; use frequency to compare outcomes and estimate their likelihoods

Maths Builder

chance experiments

Year 5 e-Text pages: 155-157 (3 worksheets)
Chance experiments: e-Text 6 pp 155, 157 (2 worksheets)
(Year 6 e-Text)
e-Text 4 pp 156, 163 (2 worksheets)
(Year 4 e-Text)

Other resources

© Australian Curriculum, Assessment and Reporting Authority (ACARA)

The ‘theme summary’ is our short comment on the main content in this section of Version 9.0 (Australian Mathematics Curriculum) and does not reflect the details in the curriculum.