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)
- Free Plan
Dividing Decimals Bingo
Master the ability to divide with decimals by playing a whole-class bingo game.
- 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!
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Halloween Mystery Escape - Multiplication and Division for Year 5 and 6
Uncover the identify of the thief who stole the pumpkin projects with a printable Year 5 multiplication and division Halloween escape room activity.
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Coffee Shop Calculations – Estimation With Decimals Task Cards
Download this set of 24 task cards to help your students practise estimating decimal sums and differences with benchmark numbers.
- 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.
- Free Plan
Fractions Number Line - Halves, Fifths and Tenths
Demonstrate the concept of fractions on a number line with a printable number line display and student reference sheets.
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Comparing Fractions – Task Cards
Practise comparing fractions with the same numerator or denominator with this set of 24 task cards.
- Free Plan
Comparing Fractions – Sorting Activity
Strengthen fraction comparison skills by sorting cards according to the inequality symbol that makes each statement true.
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Prime Factorisation Match-Up
Practise how to find the prime factorisation of a number with this match-up activity.
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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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Estimating Decimal Sum and Differences — Year 6 Maths Mazes
Year 6 students can practise estimating solutions to decimal addition and subtraction equations with this set of maths mazes.
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Addition and Subtraction with Decimals – Task Cards
Practise adding and subtracting multi-digit decimals with this set of 16 task cards.
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Maths Mazes (Equivalent Fractions, Decimals and Percentages)
Determine equivalent fractions, decimals and percentages in this puzzling maths maze.
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Year 6 Numeracy Exit Tickets – Worksheets
23 Numeracy Exit Ticket activities for students to provide evidence of their learning progress.
- Free Plan
Fractions of Whole Numbers – Worksheet
Use these worksheets when working on finding fractions of whole numbers with your class.
- 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
Adding Fractions with Common Denominators Worksheet
Use this adding fractions with common denominators worksheet to get your upper primary students practising this key maths skill.
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Dodging Equations Active Learning
A whole class active game that encourages learning through a physical setting.
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Geometric Reasoning Worksheets - Year 6
2 worksheets linked to the Australian Curriculum.
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Adding and Subtracting Fractions Maths Investigation — Renovate with a Rug!
Immerse your students in all things fractions with this maths project based around a real-world scenario.
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Word Problem Worksheet - Number
Number word problem worksheet with answers.
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Financial Mathematics Maths Investigation – Let's Play Mini Golf!
A mathematics investigation about financial mathematics and measurement, embedded in a real-world context.
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Developing a Timetable Task
An open-ended task to practise developing a daily timetable of activities.
- Plus Plan
Multiplication Facts PowerPoint - Fourteen Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Input Output Game — ‘Under the Sea’ Board Game
Play this ‘Under the Sea’ input output game to engage your students as they learn about algebraic patterns.
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Input and Output Poster
Hang this input and output poster in your classroom to serve as a quick reference during a unit on number patterns.
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Additive and Multiplicative Patterns Worksheet
Analyse additive and multiplicative patterns in a fun ‘this’ or ‘that’ format that encourages students to reason logically and defend their answers.
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Input and Output Activities — Additive and Multiplicitive Patterns Match - Up
Use input and output activities like this additive and multiplicative patterns match-up game to give your students practice thinking algebraically.
- Plus Plan
Metric Conversion Word Problems Worksheet Set
Assign our metric conversion word problems worksheet set to strengthen your students’ understanding of measurement conversions.
- Plus Plan
Animal Shelter Operations - Metric Conversion Maths Task
Bring metric conversions into the real world with an engaging Animal Shelter Metric Conversions Maths Task.
- Plus Plan
Mass Vs Weight Poster
Display this poster to help students remember the difference between weight and mass.
- Plus Plan
Converting Units of Length - Interactive Slides Activity
Make converting lengths of measurement a breeze with a Measurement Conversion Digital Learning Activity.