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
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
Maths Mazes (Equivalent Fractions, Decimals and Percentages)
Determine equivalent fractions, decimals and percentages in this puzzling maths maze.
- Free Plan
Metric Units of Measurement Connectors
A worksheet connecting units of measurement.
- Plus Plan
BODMAS Classroom Poster
Hang this BODMAS poster in the classroom to guide students through the order of operations.
- Plus Plan
Australian Money Word Wall Vocabulary
Seventy-five money vocabulary cards.
- Plus Plan
Pandora's Party Palace Maths Activity – Upper Years
Sixteen mathematics problem-solving task cards involving money in a real-world context.
- Plus Plan
Dot Day Division Tarsia Puzzle
Practise dividing two-digit by one-digit numbers with a Dot Day tarsia puzzle.
- Plus Plan
Comparing Unit Fractions – War Game
Improve student understanding of how to compare fractions with an exciting game of war!
- Plus Plan
Comparing Fractions – Task Cards
Practise comparing fractions with the same numerator or denominator with this set of 24 task cards.
- Plus Plan
Pizza Fraction Posters
Display information about fractions, decimals and percentages with this poster pack.
- Plus Plan
Long Division Worksheet
Practising solving long division problems with this computation worksheet.
- Plus Plan
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.
- Plus Plan
Year 6 Numeracy Exit Tickets – Worksheets
23 Numeracy Exit Ticket activities for students to provide evidence of their learning progress.
- Plus Plan
Five Wonders Theme Park – Stimulus Posters
A number of stimulus posters all themed around Five Wonders Theme Park.
- Plus Plan
Coordinates Drawing - Rocket
Students create this rocket by following the directions.
- Plus Plan
3D Net Templates - Correct and Incorrect
Explore correct and incorrect representations of 3D object nets with this set of templates.
- Plus Plan
Dan's Digital World – Financial Maths Worksheets
Teach financial literacy to your students using this electronics store catalogue with accompanying worksheets.
- Plus Plan
Multiplication Facts PowerPoint - Nine Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Free Plan
Dividing Decimals Bingo
Master the ability to divide with decimals by playing a whole-class bingo game.
- Plus Plan
Converting Fractions and Decimals Match-Up Activity
Have students practise how to convert a fraction to a decimal with this match-up activity perfect for maths rotations.
- Plus Plan
Evaluating Expressions With Exponents – Worksheet
Practise evaluating expressions with exponents with this order of operations worksheet for year 6 and 7 students.
- Plus Plan
Five Wonders Theme Park: Token Night – Project
A project in which students use stimulus posters to plan the best evening at Five Wonders Theme Park within a given budget and time frame.
- Plus Plan
Volume and Capacity Maths Investigation – Splash World
A mathematics investigation about volume and capacity, embedded in a real-world context.
- Plus Plan
Coordinates Drawing - House
Students create this house by following the directions.
- Plus Plan
Decimal Operations Worksheet
Get students applying the four operations to decimal numbers with this set of two maths worksheets.
- Plus Plan
Adding Fractions With Like Denominators Teaching Slides
Teach your students how to add fractions with like denominators using a variety of strategies with this comprehensive slide deck.
- Plus Plan
Multiplying Decimals – Riddle Worksheets
Get students solving decimal multiplication problems with this set of 3 differentiated riddle worksheets.
- Plus Plan
Prime Factorisation Match-Up
Practise how to find the prime factorisation of a number with this match-up activity.
- Plus Plan
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.
- Free Plan
Converting Percentages Year 6 Worksheet
Print a year 6 maths worksheet about converting a percent to a decimal or a fraction.
- Plus Plan
Missing Angle Task Cards
Practise how to find the measure of a missing angle with this set of 18 task cards.
- Plus Plan
Coordinates Drawing - Lion
Students create this lion by following the directions.