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
Data Representation and Interpretation Worksheets - Year 6
8 data representation and interpretation worksheets linked to the Australian Curriculum.
- Plus Plan
Graphing Data Worksheets (Cartesian Plane)
Introduce these graphing data worksheets to your students to give them practise graphing real-world situations on the Cartesian plane.
- Free Plan
Nets of 3D Objects
Create a variety of 3D shapes with this comprehensive set of net templates.
- Plus Plan
Cartesian Plane Games — "Roll and Graph"
Play our Cartesian plane games in your classroom to enhance students’ ability to plot points and find the distance between them.
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Area and Perimeter Paddock Problems – Worksheets
Use these worksheets when working on finding the area and perimeter of shapes using familiar metric units.
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Prime Numbers - Assorted Backgrounds
Prime numbers displayed on a hundreds board.
- Free Plan
Metric Measurement Conversion Worksheet Set
Utilise our metric measurement conversion worksheet set to give your students practise converting units of metric length, mass and capacity.
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Multi-Step Word Problem Cards (Division and Multiplication) - Year 5-6
Solve multi-step multiplication and long division word problems with a set of printable maths task cards.
- Free Plan
Chance and Data Maths Investigation - Roll Me a Six!
A mathematics investigation involving chance and data, embedded in a real-world context.
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Number and Place Value Worksheets - Year 6
6 number and place value worksheets linked to the Australian Curriculum.
- Plus Plan
Decimal Exit Tickets (Place Value, Rounding, Ordering and Computation)
Assess student understanding of decimal place value, rounding, ordering and computation with this set of 21 exit tickets.
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Comparing Integers – Maths Mazes
Compare positive and negative numbers while you work your way through this set of maths mazes.
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Word Problem Worksheets - Year 5 and Year 6
4 mixed operations word problem worksheets with answers.
- Free Plan
Real World Applications of Positive and Negative Numbers – Worksheet
Use positive and negative numbers to represent quantities in real-world scenarios with this worksheet.
- Free Plan
Angles at a Point – Year 6 Maths Worksheet
Identify and calculate angles at a point with this one-page maths worksheet.
- Free Plan
Order of Operations Dice Game
A set of 6 order of operations dice activity mats.
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Mini-Mystery – Who Won the Race?
A fun, logic-based activity where students read clues to solve the mystery.
- Plus Plan
Describe That Decimal Worksheet
Explore the place value of decimals with this versatile one-page printable 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
- Free Plan
Mathematics Vocabulary Posters
A teaching resource to help students identify the symbols and associated vocabulary for mathematical operations.
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Multiplication Facts PowerPoint - Three Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
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Multiplying and Dividing by Powers of 10 Anchor Chart Set
Display our multiplying and dividing by powers of 10 anchor chart set in your classroom for an easy reference for students learning operations with powers of 10.
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Maths Warm Ups PowerPoint - Year 6
A PowerPoint providing a series of warm up activities for Year 6 students across the curriculum.
- Free Plan
Adding, Subtracting, Multiplying and Dividing Fractions Posters
Display these fractions posters in your classroom to remind your students how to perform operations with like and unlike fractions.
- Plus Plan
Composite Numbers - Assorted Backgrounds
Composite numbers displayed on a hundreds board.
- Plus Plan
Nets of 3D Objects - Poster
A poster highlighting the nets of a selection of 3D Objects.
- Plus Plan
Operation Domination Game
A fun game using addition, subtraction, multiplication and division.
- Plus Plan
Algebra Questions Year 6 Worksheet Set
Share these algebra questions year 6 worksheets with your students to level up their skills in identifying number patterns and following the order of operations.
- Plus Plan
Cartesian Coordinate Plane Activities — Four Quadrant Sort
Play Cartesian coordinate plane activities like this one to enhance student skills in identifying points in all four quadrants.
- Plus Plan
Soccer-Themed Maths Problem Solving Worksheets
Practise multiplication, division and problem solving skills with a high-interest soccer-themed scenario activity.
- Plus Plan
Operations with Decimals Teaching Slides
Teach your students how to add, subtract, multiply and divide using decimal numbers with this comprehensive teaching presentation perfect for upper primary maths lessons.
- Free Plan
Integers Polygon Puzzle
A puzzle using positive and negative numbers in number sentences.