Year 6
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 describing properties of different sets of numbers, using fractions and decimals to describe probabilities, representing fractions and decimals in various ways and describing connections between them, and making reasonable estimations
- fluency includes representing integers on a number line, calculating simple percentages, using brackets appropriately, converting between fractions and decimals, using operations with fractions, decimals and percentages, measuring using metric units and interpreting timetables
- problem-solving includes formulating and solving authentic problems using fractions, decimals, percentages and measurements, interpreting secondary data displays and finding the size of unknown angles
- reasoning includes explaining mental strategies for performing calculations, describing results for continuing number sequences, explaining the transformation of one shape into another and explaining why the actual results of chance experiments may differ from expected results.
(source: www.australiancurriculum.edu.au)
Achievement Standard
By the end of Year 6, students recognise the properties of prime, composite, square and triangular numbers. They describe the use of integers in everyday contexts. They solve problems involving all four operations with whole numbers. Students connect fractions, decimals and percentages as different representations of the same number. They solve problems involving the addition and subtraction of related fractions. Students make connections between the powers of 10 and the multiplication and division of decimals. They describe rules used in sequences involving whole numbers, fractions and decimals. Students connect decimal representations to the metric system and choose appropriate units of measurement to perform a calculation. They make connections between capacity and volume. They solve problems involving length and area. They interpret timetables. Students describe combinations of transformations. They solve problems using the properties of angles. Students compare observed and expected frequencies. They interpret and compare a variety of data displays including those displays for two categorical variables. They interpret secondary data displayed in the media.
Students locate fractions and integers on a number line. They calculate a simple fraction of a quantity. They add, subtract and multiply decimals and divide decimals where the result is rational. Students calculate common percentage discounts on sale items. They write correct number sentences using brackets and order of operations. Students locate an ordered pair in any one of the four quadrants on the Cartesian plane. They construct simple prisms and pyramids. Students describe probabilities using simple fractions, decimals and percentages.
(source: www.australiancurriculum.edu.au)
- Plus Plan

Adding and Subtracting Decimals Dominoes for Year 6
Use this year 6 maths game of dominoes to strengthen computation skills by adding and subtracting decimals through the thousandths place.
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Comparing Unit Fractions – War Game
Improve student understanding of how to compare fractions with an exciting game of war!
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Fraction Comparison Worksheet – Differentiated
Use visual models to create fraction comparisons with this cut-and-paste worksheet designed for year 5 students.
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Comparing Fractions Board Game
Improve student understanding of how to compare fractions with the same numerators or denominators with this comparing fractions game.
- Free Plan

Fraction, Percentage and Decimal Word Wall Vocabulary
Print your own fraction, percentage and decimal vocabulary for use on a maths word wall.
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Using Tape Diagrams to Find the Whole From a Percentage – Worksheet
Calculate the whole from a percentage using tape diagrams with this worksheet.
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Percent Bingo Game
Engage your students with a lively bingo game while practising how to match percent models and fractions to various percentages.
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Find the Whole From a Percent — Year 6 Maths Mazes
Print a set of 3 maths mazes for year 6 to practise solving percentage problems.
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Converting Percentages – Maths Mazes
Practise converting fractions, decimals and percentages with this set of maths mazes.
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Decimal Patterns Match-Up Activity
Use this match-up activity to determine patterns and extend numerical sequences by adding and subtracting decimals.
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Estimating Decimal Sums and Differences — Year 6 Worksheet
Refine year 6 students' rounding skills with an estimating decimal sums and differences worksheet.
- Free Plan

Finding Volume – Differentiated Worksheets
Practise finding the volume of rectangular prisms and cubes with this set of differentiated worksheets.
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Class Carnival – Probability STEM Challenges
A set of four carnival-themed STEM challenges where students create fun games that incorporate probability.
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Fractions, Decimals and Percentages Vocabulary Poster
A poster to help students learn the vocabulary associated with fractions, decimals and percentages.
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Frida's Fiesta: Layout Confusion – Projects
A project where students apply their measurement and fraction knowledge to determine where furniture goes in a restaurant.
- Free Plan

Connecting Volume and Capacity Posters
A set of three posters to help with connecting and converting units of volume and capacity.
- Plus Plan

Number Talks – Decimal Operations Task Cards
Explore decimal operations with your students using this set of 26 number talk task cards.
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Multiplication Facts PowerPoint - Fourteen Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
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Multiplication Facts PowerPoint - Thirteen Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
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Money and Financial Mathematics Teaching Resource Pack
A collection of resources exploring money and financial mathematics.
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Time Teaching Resource Pack
A collection of resources exploring time concepts.
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Fractions Resource Pack
A collection of resources exploring fractions.
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Applications of Time Unit Plan - Year 5 and Year 6
This Mathematics unit addresses the concepts of 12- and 24-hour time, timetables and timelines.
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Reading Timetables
A 60 minute lesson in which students will read and interpret timetables and calculate elapsed time.
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12- and 24-Hour Time
A 60 minute lesson in which students will understand the relationship between 12- and 24-hour time systems.
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Developing Timetables
A 60 minute lesson in which students will develop a timetable of daily activities.
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Applications of Time Assessment - Year 5 and Year 6
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The Missing Mona Lisa – Chapter 6: Evidence and Opportunity
The Adventure Agents will begin bringing all the information from the witnesses and evidence together to start forming a picture of what happened on the night the Mona Lisa was stolen.