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 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
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.
- Plus Plan
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.
- Plus Plan
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
It's a Match! – Rounding With Decimals Puzzle
Practise rounding decimals up to the thousandths place with 34 puzzle pair matching pieces.
- Plus Plan
Adding and Subtracting Integers - Tarsia Puzzle
Practise adding and subtracting integers with a printable Tarsia puzzle!
- Plus Plan
Comparing Unit Fractions – War Game
Improve student understanding of how to compare fractions with an exciting game of war!
- Free Plan
Comparing Fractions – Sorting Activity
Strengthen fraction comparison skills by sorting cards according to the inequality symbol that makes each statement true.
- Plus Plan
Understanding Exponents – Task Cards
Practise rewriting, comparing and evaluating expressions with exponents with this set of task cards.
- 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
Plotting and Comparing Integers – Worksheet
Practise plotting integers on a number line and completing comparison statements with this worksheet.
- 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
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.
- Plus Plan
Frida's Fiesta: Layout Confusion – Projects
A project where students apply their measurement and fraction knowledge to determine where furniture goes in a restaurant.
- Plus Plan
Number Talks – Decimal Operations Task Cards
Explore decimal operations with your students using this set of 26 number talk task cards.
- Plus Plan
Multiplication Facts PowerPoint - Fourteen Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Multiplication Facts PowerPoint - Thirteen Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Multiplication Facts PowerPoint - Nine Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Multiplication Facts PowerPoint - Seven Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Multiplication Facts PowerPoint - Five Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Multiplication Facts PowerPoint - One Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Fractions Resource Pack
A collection of resources exploring fractions.
- Plus Plan
The Missing Mona Lisa – Chapter 6: Evidence and Opportunity
The Adventure Agents will begin bringing all the information from the witnesses and evidence together to start forming a picture of what happened on the night the Mona Lisa was stolen.