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 Year 6 Worksheet
Practise adding and subtracting decimals to the hundredths place with this worksheet.
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3D Net Templates - Correct and Incorrect
Explore correct and incorrect representations of 3D object nets with this set of templates.
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Money and Financial Mathematics - Upper Years Interactive PowerPoint
An engaging 44 slide interactive PowerPoint to use in the Upper Years classroom when learning about money and financial mathematics
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Reflection, Translation, Rotation Poster
A visual poster examining the difference between reflection, translation and rotation.
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3D Objects Maths Investigation - Make Me a Radical Robot!
Relate knowledge of 3D shapes to the real world with this student-led mathematics project.
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I Have, Who Has? Game - Fraction, Decimal and Percentage Equivalence
Reinforce students' understanding of fraction, decimal and percentage equivalence with a whole-class game.
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Chance and Probability Upper Years PowerPoint
An engaging 30 slide interactive PowerPoint to use in the classroom when learning about chance and probability in the upper years.
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Volume and Capacity Definition Poster
Display this volume and capacity definition poster in the classroom to help students identify the main difference between capacity and volume.
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Riddle Me! Converting Units of Length – Worksheet
Sharpen measurement conversion skills with a set of 3 Maths riddle worksheets.
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Colour by Missing Angles Worksheets
Get students to find the size of missing angles on right angles, straight angles and angles at a point with this maths worksheet with a difference!
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Pizza Fraction Posters
Display information about fractions, decimals and percentages with this poster pack.
- Free Plan
Fractions of Whole Numbers – Worksheet
A set of differentiated worksheets that focus on finding simple fractions of quantities.
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Number Talks — Order of Operations Task Cards
Build number sense skills with this set of 20 task cards.
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Build Your Own Theme Park – Project
A project that gives students the opportunity to learn through building their own theme park.
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Money and Financial Mathematics Worksheets - Year 6
2 money and financial mathematics worksheets linked to the Australian Curriculum.
- Free Plan
Time Zones World Map
A poster to display in the classroom to show the different time zones of the world.
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Developing a Timetable Task
An open-ended task to practise developing a daily timetable of activities.
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Multiplication Facts PowerPoint - Two Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Function Machine Interactive Game
Share this function machine interactive game with your students, providing them a fun way to practise identifying and continuing number patterns.
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Measurement Conversion Games — Matching Lengths
Provide students with measurement conversion games like this matching activity to give them practice converting between common units of length.
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Conversion of Measurements Worksheets — ‘Riddle Me!’
Laugh and learn with our conversion of measurements worksheets that give students practice converting metric units of length, capacity and mass.
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Converting Units of Measurement Games — 'Construction Conversions' Board Game
Introduce converting units of measurement games like our “Construction Conversions” board game to help your students master conversions of metric length.
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Patterns in Place Value Teaching Slides
Strengthen student understanding of decimal place value and the relationship between place value positions with this instructional slide deck.
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Angle Word Problems – Worksheet
Download these angles word problem worksheets so your students can practise calculating missing angles.
- Plus Plan
Angle Word Problems Teaching Slides
Help your students tackle angle word problems with ease using this step-by-step problem-solving guide.
- Plus Plan
Long Division Worksheet
Practising solving long division problems with this computation worksheet.
- Free Plan
Converting Percentages Year 6 Worksheet
Print a year 6 maths worksheet about converting a percent to a decimal or a fraction.
- Free Plan
Fractions, Decimals and Percentages Polygon Puzzle
A puzzle using fractions, decimals and percentages.
- Plus Plan
Chance Worksheets - Year 6
4 chance worksheets linked to the Australian Curriculum.
- Plus Plan
2D Symmetry Poster - Reflection and Rotational
This 2D symmetry poster explores both reflection and rotational symmetry.
- Plus Plan
Decimal Operations Worksheet
Get students applying the four operations to decimal numbers with this set of two maths worksheets.
- Plus Plan
Metric Conversion Word Problems Worksheet Set
Assign our metric conversion word problems worksheet set to strengthen your students’ understanding of measurement conversions.