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 Dominoes for Year 6
Use this year 6 maths game of dominoes to strengthen computation skills by adding and subtracting decimals through the thousandths place.
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Adding and Subtracting Decimals — Small Group Bingo Game
Review how to add and subtract decimals with a printable small group bingo game.
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Using Tape Diagrams to Find the Whole From a Percentage – Worksheet
Calculate the whole from a percentage using tape diagrams with this worksheet.
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Find the Whole From a Percentage Worksheet
Practise how to find the whole from a percentage with this standard-practice worksheet.
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Understanding Exponents – Task Cards
Practise rewriting, comparing and evaluating expressions with exponents with this set of task cards.
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Percent Models I Have Who Has? Game
Practise identifying percentages with visual percent models by playing an exciting 'I Have, Who Has?' game.
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Decimal Patterns Match-Up Activity
Use this match-up activity to determine patterns and extend numerical sequences by adding and subtracting decimals.
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Graphing on the Cartesian Plane
Use this maths poster with your students when learning about graphing on a Cartesian plane.
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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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Mini-Mystery – Who Won the Race?
A fun, logic-based activity where students read clues to solve the mystery.
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Complex Dot-to-Dot – Fractions and Decimals Puzzle for Year 6
Challenge year 6 students with a complex dot-to-dot where students demonstrate understanding of fractions and decimals.
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Number Talks – Adding and Subtracting Fractions with Unlike Denominators Task Cards
Explore addition and subtraction of fractions with your students using this set of 24 number talk task cards.
- Free Plan
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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Five Wonders Theme Park Resource Bundle
Unlock creativity and engage your learners with this Five Wonders Theme Park resource bundle, consisting of 10 open-ended inquiry projects on a range of topics.
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Advanced Angles Factsheet
Teach your students about angles and their properties with with this easy reference fact sheet.
- Free Plan
Metric Units of Measurement Connectors
A worksheet connecting units of measurement.
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Multiplying with Decimals Bingo Game
Get your students multiplying decimals by whole numbers with this engaging Bingo game.
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Positive and Negative Integers Poster
A poster showing when to add and subtract positive and negative integers.
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Multiplication Facts PowerPoint - Five Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
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Cartesian Planes and Graphing – Vocabulary Cards
Introduce cartesian planes to your students with this set of 18 vocabulary cards.
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Metric Measurement Conversions Dominoes
Play a game of measurement dominoes to help students practise converting metric measurements.
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Dividing Decimals Match-Up Activity
Divide decimals and find the correct quotient with this match-up activity.
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Multiplying Decimals Match-Up Activity
Get students multiplying decimals with this engaging card game, perfect for maths groups.
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Estimating Decimal Sums and Differences Task Cards
Challenge your students to use rounding and benchmark values to estimate sums and differences of decimals with this set of 24 task cards.
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Top Secret Scavenger Hunt – Estimating Decimal Sums and Differences
Join the decimal scavenger hunt adventure! Download our printable scavenger hunt and guide your students to sharpen their estimation skills by using decimal benchmark values when finding sums and differences.
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Building With Angles – Interactive Game
Transport your students to a local construction site to solve building-related angle problems with this interactive maths game.
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It's a Match! – Rounding With Decimals Puzzle
Practise rounding decimals up to the thousandths place with 34 puzzle pair matching pieces.
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Graphing Numerical Equations – Google Slides Interactive Activity
Recognise and analyse patterns in graphs, input-output tables and equations with this interactive activity.
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Units of Measurement Word Wall Vocabulary
Print a pack of measurement vocabulary cards to help your students review academic vocabulary.
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Comparing Fractions Board Game
Improve student understanding of how to compare fractions with the same numerators or denominators with this comparing fractions game.
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Integers on Number Lines - Interactive Task Cards
Teach your students to locate positive and negative integers on a number line with a Google Slides interactive number line activity.
- Plus Plan
Percent Bingo Game
Engage your students with a lively bingo game while practising how to match percent models and fractions to various percentages.