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)
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teaching resource
Chance and Data Maths Investigation - Roll Me a Six!
A mathematics investigation involving chance and data, embedded in a real-world context.
- Free Plan
teaching resource
Nets of 3D Objects
Create a variety of 3D shapes with this comprehensive set of net templates.
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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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teaching resource
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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teaching resource
Reading and Interpreting Timetables Worksheets
Five pages of worksheets that allow students to work on reading and interpreting timetables.
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teaching resource
The Escape From Millbrook Manor – Whole Class Escape Game
An exciting escape room game where students use their maths skills to escape Millbrook Manor.
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Printable Maths Mats - Graphic Organisers
Practice working on specific math concepts with our set of 5 printable math graphic organisers.
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Area Worksheets
4 area worksheets.
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teaching resource
Types of Angles Poster Pack
Remind your students about the most common types of angles with this set of six classroom posters.
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teaching resource
Capacity Vs Volume Poster
A poster explaining the difference between capacity and volume.
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teaching resource
Time Assessment - Year 5 and Year 6
A three-page assessment, covering various time concepts.
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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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teaching resource
Missing Angles – Year 6 Maths Worksheet
Download this missing angles worksheet to get your students calculating missing angles on right and straight angles.
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teaching resource
Data Representation and Interpretation Worksheets - Year 6
8 data representation and interpretation worksheets linked to the Australian Curriculum.
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teaching resource
Time Zones World Map
A poster to display in the classroom to show the different time zones of the world.
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teaching resource
Converting Units of Mass – Worksheet
Convert units of mass including those with decimal representation using this worksheet.
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teaching resource
Chance Worksheets - Year 6
4 chance worksheets linked to the Australian Curriculum.
- Free Plan
teaching resource
Fraction, Decimal and Percentage Bingo
32 different bingo cards using fractions, decimals and percentages.
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teaching resource
Graphing on the Cartesian Plane Teaching Slides
Teach your students how to plot points on a graph using ordered pairs from input-output tables with this set of teaching slides.
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teaching resource
Interactive Maths Review – Activities for Years 5, 6 & 7
Review important maths concepts covered in years 5, 6 and 7 with a student-led interactive activity.
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Pandora's Party Palace Maths Activity – Upper Years
Sixteen mathematics problem-solving task cards involving money in a real-world context.
- Free Plan
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Connecting Volume and Capacity Posters
A set of three posters to help with connecting and converting units of volume and capacity.
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teaching resource
Number and Algebra Mathematics Investigation — The Solar System in Our Space
A mathematics investigation about number and the scale of the solar system, embedded in a real-world context.
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teaching resource
Area and Perimeter Paddock Problems – Worksheets
A set of differentiated area and perimeter worksheets.
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teaching resource
Location and Transformation Worksheets - Year 6
4 location and transformation worksheets linked to the Australian Curriculum.
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teaching resource
Measuring Angles in Images Worksheets
Get your students using their protractors to measure acute, obtuse, right, straight and reflex angles with this set of differentiated angles worksheets.
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teaching resource
Volume Worksheets
3 volume worksheets.
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teaching resource
Maths Word Problem Cards (Division and Multiplication) - Upper Primary
Twenty division and multiplication word problem cards for upper primary.
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teaching resource
Adding and Subtracting Fractions PowerPoint
A 17 slide editable PowerPoint Template to use when teaching your students how to add and subtract fractions.
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teaching resource
Drawing and Constructing 3D Objects – Interactive Activity
Construct digital and physical nets of some common 3D objects with this hands-on digital learning activity.
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teaching resource
Money and Finances Maths Investigation – Pop–Up Shop on Wheels
A project where students use their mathematic skills to plan a fundraiser for a charity of choice.
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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.