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
Order of Operations – Mini Book
Learn how to solve equations using the order of operations with this mini book.
- 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
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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Pandora's Party Palace Maths Activity – Upper Years
Sixteen mathematics problem-solving task cards involving money in a real-world context.
- Plus Plan
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!
- Plus Plan
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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Soccer-Themed Maths Problem Solving Worksheets
Practise multiplication, division and problem solving skills with a high-interest soccer-themed scenario activity.
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Number Talks — Order of Operations Task Cards
Build number sense skills with this set of 20 task cards.
- Plus Plan
Calculating Discounts and Sale Price Teaching Slides
Teach your students how to calculate discounts and sale prices using fractions and decimals with this comprehensive teaching presentation.
- Free Plan
Fractions of Whole Numbers – Worksheet
A set of differentiated worksheets that focus on finding simple fractions of quantities.
- Plus Plan
Advanced Angles Poster Pack
Teach your students about alternate, co-interior, corresponding and vertically opposite angles with this set of classroom posters.
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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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Introducing Percentages PowerPoint
A 12 slide editable PowerPoint template to use when introducing percentages to your students.
- Plus Plan
Adding and Subtracting Decimals – Word Problem Task Cards
Have students solve decimal word problems with this set of 16 task cards, perfect for math centers.
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Adding and Subtracting Decimals Year 6 Worksheet
Practise adding and subtracting decimals to the hundredths place with this worksheet.
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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
- Plus Plan
Dan's Digital World – Financial Maths Worksheets
Teach financial literacy to your students using this electronics store catalogue with accompanying worksheets.
- Plus Plan
2D Symmetry Poster - Reflection and Rotational
This 2D symmetry poster explores both reflection and rotational symmetry.
- Plus Plan
Money and Financial Mathematics Worksheets - Year 6
2 money and financial mathematics worksheets linked to the Australian Curriculum.
- Plus Plan
Nets of 3D Objects - Poster
A poster highlighting the nets of a selection of 3D Objects.
- Plus Plan
Grocery Percentages – Year 6 Maths Worksheet
Use percentages to calculate discounts with this maths worksheet designed for students in years 6 and 7.
- Plus Plan
Mixed Number - Fraction Model Match-Up
Practice matching improper fractions, mixed numbers, bar models, and fraction number lines with this set of 36 match-up cards.
- Plus Plan
Maths Mazes (Equivalent Fractions, Decimals and Percentages)
Determine equivalent fractions, decimals and percentages in this puzzling maths maze.
- Plus Plan
Volume and Capacity Maths Investigation – Splash World
A mathematics investigation about volume and capacity, embedded in a real-world context.
- Plus Plan
The Solar System in Our Space — Mathematics Investigation
A mathematics investigation about number and the scale of the solar system, embedded in a real-world context.
- Plus Plan
Decimal Operations Worksheet
Get students applying the four operations to decimal numbers with this set of two maths worksheets.
- Plus Plan
Multiplication Facts PowerPoint - Two Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
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.
- Plus Plan
Angle Word Problems – Worksheet
Download these angles word problem worksheets so your students can practise calculating missing angles.
- Plus Plan
Fraction Fact File Worksheet
Explore all things fractions with this one-page printable worksheet.
- Plus Plan
I Have, Who Has? Game - Fraction, Decimal and Percentage Equivalence
Reinforce students' understanding of fraction, decimal and percentage equivalence with a whole-class game.
- Plus Plan
Adding and Subtracting Decimals – Differentiated Mystery Image Worksheets
Have students practise adding and subtracting decimals with this mystery image worksheet.