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
Estimation Activity - Estimating Space Worksheet Set
Use estimation activities like this estimating space worksheet set to give your students practice estimating, converting measurements and problem solving.
- Plus Plan
Index Notation Worksheet — Tarsia Puzzle
Share this index notation worksheet with your students to give them practice evaluating exponential expressions in a fun puzzle format.
- Plus Plan
Function Machine Matching Game
Match input/output tables to their rules in this function machine game with an engaging robot theme.
- 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.
- Plus Plan
Printable Measurement Games Task Card Set
Share this printable measurement games task card set with your students to help them master conversions of length, mass, and capacity.
- Plus Plan
Year 6 Metric Conversions Practice Sheets - Length
Practise converting, comparing, and ordering metric measurements with a Year 6 Metric Conversions worksheet pack.
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Year 7 Maths Test - Measuring Volume
Assess your students' skills with measuring volume using a printable Year 6 Volume Assessment.
- Plus Plan
Subtracting Fractions With Like Denominators Worksheets
Download this set of subtracting fractions with like denominators worksheets to help your students practise this important maths skill.
- Free Plan
Dividing Decimals Bingo
Master the ability to divide with decimals by playing a whole-class bingo game.
- Free Plan
Dividing Decimals Maths Mazes
Review how to divide a decimal by a decimal and a whole number with this set of maths mazes.
- Plus Plan
Multiplying Decimals Match-Up Activity
Get students multiplying decimals with this engaging card game, perfect for maths groups.
- Plus Plan
Multiplying Decimals – Riddle Worksheets
Get students solving decimal multiplication problems with this set of 3 differentiated riddle worksheets.
- Plus Plan
Plan a Halloween Party – Estimation Project
Plan your own Halloween party and practice estimating sums, differences and products of whole numbers and decimals with an engaging maths project!
- 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.
- 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.
- Plus Plan
Rounding Decimals Worksheet Set
Practise rounding numbers to the nearest whole, tenth, hundredth and thousandth with this worksheet set.
- 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.
- 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
Comparing Unit Fractions – War Game
Improve student understanding of how to compare fractions with an exciting game of war!
- Plus Plan
Percent Models I Have Who Has? Game
Practise identifying percentages with visual percent models by playing an exciting 'I Have, Who Has?' game.
- Plus Plan
Decimal Patterns Match-Up Activity
Use this match-up activity to determine patterns and extend numerical sequences by adding and subtracting decimals.
- Plus Plan
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.
- Plus Plan
Estimating Decimal Sums and Differences — Year 6 Worksheet
Refine year 6 students' rounding skills with an estimating decimal sums and differences worksheet.
- Plus Plan
Complex Dot-to-dot – Square Numbers (Skateboarder) – Worksheet
A complex dot-to-dot where students order square numbers.
- Plus Plan
Number Talks — Order of Operations Task Cards
Build number sense skills with this set of 20 task cards.
- Plus Plan
Prime and Composite Number Worksheet
A worksheet to consolidate your students' understanding of prime and composite numbers.
- Plus Plan
Prime Numbers - Assorted Backgrounds
Prime numbers displayed on a hundreds board.
- Plus Plan
Composite Numbers - Assorted Backgrounds
Composite numbers displayed on a hundreds board.
- 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
Decimal Operations Worksheet
Get students applying the four operations to decimal numbers with this set of two maths worksheets.
- Free Plan
Time Zones World Map
A poster to display in the classroom to show the different time zones of the world.
- Plus Plan
Input Output Activities — Bingo
Play input output activities like this Bingo game in your maths lessons for maximum engagement.