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
Estimating Decimal Sums and Differences Interactive Activity
Take your students on a safari adventure while practicing how to estimate decimal sums and differences with this interactive activity.
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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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Estimating Sums and Differences With Decimals Worksheet for Year 6
Teach your students how to estimate decimal sums and differences with this year 6 maths worksheet.
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Dot Day Tarsia - Division Practice Sheets
Practise dividing two-digit by one-digit numbers with Tarsia-Style Division Practice Sheets.
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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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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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Order of Operations – Differentiated Bump Game
Use this set of Bump games to sharpen your students’ computation skills by using the order of operations to evaluate expressions.
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Evaluating Expressions With Exponents – Task Cards
Solve expressions with exponents by using the order of operations with this set of 24 task cards.
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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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Comparing Unit Fractions – War Game
Improve student understanding of how to compare fractions with an exciting game of war!
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Evaluating Expressions – Match-Up Activity
Practise substituting values for variables while evaluating expressions with this match-up 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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Comparing Fractions – Exit Tickets
Compare fractions with the same numerator or denominator with this set of 24 exit tickets.
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Comparing Fractions – Differentiated Cut and Paste Worksheets
Compare fractions with like numerators and denominators with this cut and paste worksheet.
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Fractions and Decimals Number Line Puzzles
Practise identifying fractions and decimals on a number line with this set of 2- and 3-piece puzzles.
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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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Percent Bingo Game
Engage your students with a lively bingo game while practising how to match percent models and fractions to various percentages.
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Evaluating Expressions – Worksheet
Challenge your students to evaluate expressions with one or two variables by completing this 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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Percent of a Number Match-Up Activity
Practise how to find the percent of a number with this match-up activity.
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Decimal Patterns Maths Mazes
Find your way through this set of maths mazes by determining the addition or subtraction pattern in a sequence of decimal numbers.
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Converting Decimals, Fractions and Percentages – Worksheet
Strengthen your students’ understanding of how to convert a percent to a decimal and a fraction with this worksheet.
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Converting Fractions and Decimals – Worksheet
Solve problems that involve converting fractions and decimals with this worksheet.
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Numerical Expressions Sort
Solve and sort numerical expressions according to different categories with this sorting activity.
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Digital Christmas Escape Room for the Classroom — Elf Investigation
This exciting Christmas escape room has been created by our teacher team to engage your upper years students this holiday season. Help the Mayor of Elfton catch the person responsible for some mischievous events in his town.
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Save Santa's Workshop – Whole Class Escape Game
Solve clues to save Santa's Workshop with this fun and festive escape room game.
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Missing Angle Task Cards
Practise how to find the measure of a missing angle with this set of 18 task cards.
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3D Object Halloween Character Templates
Build some spooky Halloween characters with this set of five 3-D net templates.
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Mega Matcher (Fractions, Decimals and Percentages) Year 6 Interactive Game
Match equivalent fractions, decimals and percentages with this interactive activity with a code cracking twist.