Rationale
Learning mathematics creates opportunities for and enriches the lives of all Australians. The Australian Curriculum: Mathematics provides students with essential mathematical skills and knowledge in number and algebra, measurement and geometry, and statistics and probability.Aims
The Australian Curriculum: Mathematics aims to ensure that students:are confident, creative users and communicators of mathematics, able to investigate, represent and interpret situations in their personal and work lives and as active citizens.
Key ideas
In Mathematics, the key ideas are the proficiency strands of understanding, fluency, problem-solving and reasoning. The proficiency strands describe the actions in which students can engage when learning and using the content.Structure
The Australian Curriculum: Mathematics is organised around the interaction of three content strands and four proficiency strands.The content strands are number and algebra, measurement and geometry, and statistics and probability. They describe what is to be taught and learnt.
PDF documents
Resources and support materials for the Australian Curriculum: Mathematics are available as PDF documents.Mathematics: Sequence of content
Mathematics: Sequence of achievement
Glossary
Year 5
Year 5 Level Description
The proficiency strands understanding, fluency, problem-solving and reasoning are an integral part of mathematics content across the three content strands: number and algebra, measurement and geometry, and statistics and probability. The proficiencies reinforce the significance of working mathematically within the content and describe how the content is explored or developed. They provide the language to build in the developmental aspects of the learning of mathematics. The achievement standards reflect the content and encompass the proficiencies.
At this year level:
- understanding includes making connections between representations of numbers, using fractions to represent probabilities, comparing and ordering fractions and decimals and representing them in various ways, describing transformations and identifying line and rotational symmetry
- fluency includes choosing appropriate units of measurement for calculation of perimeter and area, using estimation to check the reasonableness of answers to calculations and using instruments to measure angles
- problem-solving includes formulating and solving authentic problems using whole numbers and measurements and creating financial plans
- reasoning includes investigating strategies to perform calculations efficiently, continuing patterns involving fractions and decimals, interpreting results of chance experiments, posing appropriate questions for data investigations and interpreting data sets.
Year 5 Content Descriptions
Number and place value
Identify and describe factors and multiples of whole numbers and use them to solve problems
(ACMNA098 - Scootle
)
Use estimation and rounding to check the reasonableness of answers to calculations
(ACMNA099 - Scootle
)
Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies
(ACMNA100 - Scootle
)
Solve problems involving division by a one digit number, including those that result in a remainder
(ACMNA101 - Scootle
)
Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
(ACMNA291 - Scootle
)
Fractions and decimals
Compare and order common unit fractions and locate and represent them on a number line
(ACMNA102 - Scootle
)
Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
(ACMNA103 - Scootle
)
Recognise that the place value system can be extended beyond hundredths
(ACMNA104 - Scootle
)
Compare, order and represent decimals
(ACMNA105 - Scootle
)
Patterns and algebra
Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction
(ACMNA107 - Scootle
)
Find unknown quantities in number sentences involving multiplication and division and identify equivalent number sentences involving multiplication and division
(ACMNA121 - Scootle
)
Using units of measurement
Choose appropriate units of measurement for length, area, volume, capacity and mass
(ACMMG108 - Scootle
)
Compare 12- and 24-hour time systems and convert between them
(ACMMG110 - Scootle
)
Shape
Connect three-dimensional objects with their nets and other two-dimensional representations
(ACMMG111 - Scootle
)
Location and transformation
Use a grid reference system to describe locations. Describe routes using landmarks and directional language
(ACMMG113 - Scootle
)
Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries
(ACMMG114 - Scootle
)
Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original
(ACMMG115 - Scootle
)
Geometric reasoning
Estimate, measure and compare angles using degrees. Construct angles using a protractor
(ACMMG112 - Scootle
)
Chance
List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions
(ACMSP116 - Scootle
)
Recognise that probabilities range from 0 to 1
(ACMSP117 - Scootle
)
Data representation and interpretation
Pose questions and collect categorical or numerical data by observation or survey
(ACMSP118 - Scootle
)
Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies
(ACMSP119 - Scootle
)
Describe and interpret different data sets in context
(ACMSP120 - Scootle
)