Foundation
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AC9MFN02
recognise and name the number of objects within a collection up to 5 using subitising
Number
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AC9MFM01
identify and compare attributes of objects and events, including length, capacity, mass and duration, using direct comparisons and communicating reasoning
Measurement
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AC9MFSP01
sort, name and create familiar shapes; recognise and describe familiar shapes within objects in the environment, giving reasons
Space
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AC9MFSP02
describe the position and location of themselves and objects in relation to other people and objects within a familiar space
Space
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AC9MFST01
collect, sort and compare data represented by objects and images in response to given investigative questions that relate to familiar situations
Statistics
Year 1
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AC9M1N03
quantify sets of objects, to at least 120, by partitioning collections into equal groups using number knowledge and skip counting
Number
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AC9M1A01
recognise, continue and create pattern sequences, with numbers, symbols, shapes and objects, formed by skip counting, initially by twos, fives and tens
Algebra
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AC9M1A02
recognise, continue and create repeating patterns with numbers, symbols, shapes and objects, identifying the repeating unit
Algebra
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AC9M1M01
compare directly and indirectly and order objects and events using attributes of length, mass, capacity and duration, communicating reasoning
Measurement
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AC9M1M02
measure the length of shapes and objects using informal units, recognising that units need to be uniform and used end-to-end
Measurement
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AC9M1SP01
make, compare and classify familiar shapes; recognise familiar shapes and objects in the environment, identifying the similarities and differences between them
Space
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AC9M1SP02
give and follow directions to move people and objects to different locations within a space
Space
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AC9M1ST01
acquire and record data for categorical variables in various ways including using digital tools, objects, images, drawings, lists, tally marks and symbols
Statistics
Year 2
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AC9M2A01
recognise, describe and create additive patterns that increase or decrease by a constant amount, using numbers, shapes and objects, and identify missing elements in the pattern
Algebra
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AC9M2M01
measure and compare objects based on length, capacity and mass using appropriate uniform informal units and smaller units for accuracy when necessary
Measurement
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AC9M2M02
identify common uses and represent halves, quarters and eighths in relation to shapes, objects and events
Measurement
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AC9M2SP01
recognise, compare and classify shapes, referencing the number of sides and using spatial terms such as “opposite”, “parallel”, “curved” and “straight”
Space
Year 3
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AC9M3N05
estimate the quantity of objects in collections and make estimates when solving problems to determine the reasonableness of calculations
Number
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AC9M3M02
measure and compare objects using familiar metric units of length, mass and capacity, and instruments with labelled markings
Measurement
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AC9M3SP01
make, compare and classify objects, identifying key features and explaining why these features make them suited to their uses
Space
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AC9M3SP02
interpret and create two-dimensional representations of familiar environments, locating key landmarks and objects relative to each other
Space
Year 4
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AC9M4M02
recognise ways of measuring and approximating the perimeter and area of shapes and enclosed spaces, using appropriate formal and informal units
Measurement
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AC9M4SP01
represent and approximate composite shapes and objects in the environment, using combinations of familiar shapes and objects
Space
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AC9M4SP03
recognise line and rotational symmetry of shapes and create symmetrical patterns and pictures, using dynamic geometric software where appropriate
Space
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AC9M4ST02
analyse the effectiveness of different displays or visualisations in illustrating and comparing data distributions, then discuss the shape of distributions and the variation in the data
Statistics
Year 5
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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
Measurement
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AC9M5M02
solve practical problems involving the perimeter and area of regular and irregular shapes using appropriate metric units
Measurement
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AC9M5SP01
connect objects to their nets and build objects from their nets using spatial and geometric reasoning
Space
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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
Space
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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
Statistics
Year 6
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AC9M6SP01
compare the parallel cross-sections of objects and recognise their relationships to right prisms
Space
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AC9M6ST01
interpret and compare data sets for ordinal and nominal categorical, discrete and continuous numerical variables using comparative displays or visualisations and digital tools; compare distributions in terms of mode, range and shape
Statistics
Year 7
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AC9M7M02
solve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate units
Measurement
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AC9M7M05
demonstrate that the interior angle sum of a triangle in the plane is 180° and apply this to determine the interior angle sum of other shapes and the size of unknown angles
Measurement
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AC9M7SP01
represent objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representations
Space
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AC9M7SP02
classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships
Space
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AC9M7SP04
design and create algorithms involving a sequence of steps and decisions that will sort and classify sets of shapes according to their attributes, and describe how the algorithms work
Space
- Plan this
AC9M7ST02
create different types of numerical data displays including stem-and-leaf plots using software where appropriate; describe and compare the distribution of data, commenting on the shape, centre and spread including outliers and determining the range, median, mean and mode
Statistics
- Plan this
AC9M7ST03
plan and conduct statistical investigations involving data for discrete and continuous numerical variables; analyse and interpret distributions of data and report findings in terms of shape and summary statistics
Statistics
Year 8
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AC9M8M01
solve problems involving the area and perimeter of irregular and composite shapes using appropriate units
Measurement
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AC9M8M02
solve problems involving the volume and capacity of right prisms using appropriate units
Measurement
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AC9M8SP01
identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations
Space
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AC9M8SP03
describe the position and location of objects in 3 dimensions in different ways, including using a three-dimensional coordinate system with the use of dynamic geometric software and other digital tools
Space
- Plan this
AC9M8SP04
design, create and test algorithms involving a sequence of steps and decisions that identify congruency or similarity of shapes, and describe how the algorithm works
Space
Year 9
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AC9M9M01
solve problems involving the volume and surface area of right prisms and cylinders using appropriate units
Measurement
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AC9M9SP02
apply the enlargement transformation to shapes and objects using dynamic geometry software as appropriate; identify and explain aspects that remain the same and those that change
Space
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AC9M9ST03
represent the distribution of multiple data sets for numerical variables using comparative representations; compare data distributions with consideration of centre, spread and shape, and the effect of outliers on these measures
Statistics
Year 10
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AC9M10M01
solve problems involving the surface area and volume of composite objects using appropriate units
Measurement
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AC9M10M05
use mathematical modelling to solve practical problems involving proportion and scaling of objects; formulate problems and interpret solutions in terms of the situation; evaluate and modify models as necessary, and report assumptions, methods and findings
Measurement
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AC9M10SP01
apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems
Space
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AC9M10ST02
compare data distributions for continuous numerical variables using appropriate data displays including boxplots; discuss the shapes of these distributions in terms of centre, spread, shape and outliers in the context of the data
Statistics
Questions teachers ask
- Where does shapes and objects appear in the Australian Curriculum?
- 51 Mathematics content descriptions from Foundation to Year 10 mention shapes and objects. They are listed here by year with their codes.
- Can Heapso make shapes and objects worksheets?
- Yes. Choose "Plan this" next to a content description for a lesson set to that year, or make a worksheet at three levels so every student can practise the same skill.
Other maths topics
- Place value
- Addition and subtraction
- Multiplication and division
- Fractions
- Decimals and percentages
- Money and financial maths
- Patterns and algebra
- Time
- Length, mass and capacity
- Area, perimeter and volume
- Angles
- Location and transformation
- Statistics and data
- Probability
- Integers and indices
- Trigonometry and Pythagoras