Year 6 Maths — AC v9
All 24 content descriptions for Year 6 Maths in the Australian Curriculum Version 9, grouped by strand — each one links to its own page, and TeachKoala can turn any of them into a complete lesson (your first is free).
Achievement standard (what coverage means)
- •They solve problems using the properties of prime, composite and square numbers.
- •Students locate an ordered pair in any one of the 4 quadrants on the Cartesian plane.
- •They use all 4 operations with decimals and connect decimal representations of measurements to the metric system.
- •Students conduct simulations using digital tools, to generate and record the outcomes from many trials of a chance experiment.
- •They create tessellating patterns using combinations of transformations.
- •Students critique arguments presented in the media based on statistics.
- •They compare observed frequencies to the expected frequencies of the outcomes of chance experiments.
- •They use the formula for the area of a rectangle and angle properties to solve problems.
- •They identify and explain rules used to create growing patterns.
- •Students identify the parallel cross-section for right prisms.
- •They use mathematical modelling to solve financial and other practical problems involving percentages and rational numbers, formulating and solving the problem, and justifying choices.
- •They assign probabilities using common fractions, decimal and percentages.
- •Students order common fractions, giving reasons, and add and subtract fractions with related denominators.
- •They compare distributions of discrete and continuous numerical and ordinal categorical data sets as part of their statistical investigations, using digital tools.
- •Students convert between common units of length, mass and capacity.
- •By the end of Year 6, students use integers to represent points on a number line and in the Cartesian plane.
- •They interpret and use timetables.
- •Students create and use algorithms to generate sets of numbers, using a rule.
- •Students find unknown values in numerical equations involving combinations of arithmetic operations.
- •Students solve problems involving finding a fraction, decimal or percentage of a quantity and use estimation to find approximate solutions to problems involving rational numbers and percentages.
- AC9M6A01recognise and use rules that generate visually growing patterns and number patterns involving rational numbers
- AC9M6A02find unknown values in numerical equations involving brackets and combinations of arithmetic operations, using the properties of numbers and operations
- AC9M6A03create and use algorithms involving a sequence of steps and decisions that use rules to generate sets of numbers; identify, interpret and explain emerging patterns
- AC9M6M01convert between common metric units of length, mass and capacity; choose and use decimal representations of metric measurements relevant to the context of a problem
- AC9M6M02establish the formula for the area of a rectangle and use it to solve practical problems
- AC9M6M03interpret and use timetables and itineraries to plan activities and determine the duration of events and journeys
- AC9M6M04identify the relationships between angles on a straight line, angles at a point and vertically opposite angles; use these to determine unknown angles, communicating reasoning
- AC9M6N01recognise situations, including financial contexts, that use integers; locate and represent integers on a number line and as coordinates on the Cartesian plane
- AC9M6N02identify and describe the properties of prime, composite and square numbers and use these properties to solve problems and simplify calculations
- AC9M6N03apply knowledge of equivalence to compare, order and represent common fractions including halves, thirds and quarters on the same number line and justify their order
- AC9M6N04apply knowledge of place value to add and subtract decimals, using digital tools where appropriate; use estimation and rounding to check the reasonableness of answers
- AC9M6N05solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions
- AC9M6N06multiply and divide decimals by multiples of powers of 10 without a calculator, applying knowledge of place value and proficiency with multiplication facts; using estimation and rounding to check the reasonableness of answers
- AC9M6N07solve problems that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing efficient calculation strategies and using digital tools where appropriate
- AC9M6N08approximate numerical solutions to problems involving rational numbers and percentages, including financial contexts, using appropriate estimation strategies
- AC9M6N09use mathematical modelling to solve practical problems involving natural and rational numbers and percentages, including in financial contexts; formulate the problems, choosing operations and efficient calculation strategies, and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, justifying the choices made
- AC9M6P01recognise that probabilities lie on numerical scales of 0 – 1 or 0% – 100% and use estimation to assign probabilities that events occur in a given context, using common fractions, percentages and decimals
- AC9M6P02conduct repeated chance experiments and run simulations with an increasing number of trials using digital tools; compare observations with expected results and discuss the effect on variation of increasing the number of trials
- AC9M6SP01compare the parallel cross-sections of objects and recognise their relationships to right prisms
- AC9M6SP02locate points in the 4 quadrants of a Cartesian plane; describe changes to the coordinates when a point is moved to a different position in the plane
- AC9M6SP03recognise and use combinations of transformations to create tessellations and other geometric patterns, using dynamic geometric software where appropriate
- AC9M6ST01interpret 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
- AC9M6ST02identify statistically informed arguments presented in traditional and digital media; discuss and critique methods, data representations and conclusions
- AC9M6ST03plan and conduct statistical investigations by posing and refining questions or identifying a problem and collecting relevant data; analyse and interpret the data and communicate findings within the context of the investigation
Free download
The Year 6 Maths planning scaffold
A one-page planning sheet with the official achievement standard, every content description grouped by strand, and space for your assessment and week-by-week sequence. Print it and plan on paper, or use it as the skeleton for a unit.
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Content descriptions and achievement standard © ACARA, Australian Curriculum Version 9, used under CC BY 4.0. TeachKoala is not affiliated with or endorsed by ACARA.