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
Volume and Capacity Definition Poster
Display this volume and capacity definition poster in the classroom to help students identify the main difference between capacity and volume.
- Free Plan
Cartesian Plane Template Set
Download this Cartesian plane template set for use in your Cartesian planes or graphing unit.
- Plus Plan
Number Talks — Order of Operations Task Cards
Build number sense skills with this set of 20 task cards.
- Free Plan
Fractions, Decimals and Percentages Polygon Puzzle
A puzzle using fractions, decimals and percentages.
- Plus Plan
Reflection, Translation, Rotation Poster
A visual poster examining the difference between reflection, translation and rotation.
- Plus Plan
Money and Financial Mathematics Worksheets - Year 6
2 money and financial mathematics worksheets linked to the Australian Curriculum.
- Free Plan
Word Problem Worksheet - Money
Money word problem worksheet with answers.
- Plus Plan
Multiplication Facts PowerPoint - Two Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Function Machine Interactive Game
Share this function machine interactive game with your students, providing them a fun way to practise identifying and continuing number patterns.
- Plus Plan
Measurement Conversion Games — Matching Lengths
Provide students with measurement conversion games like this matching activity to give them practice converting between common units of length.
- Plus Plan
Graphing Data Worksheets (Cartesian Plane)
Introduce these graphing data worksheets to your students to give them practise graphing real-world situations on the Cartesian plane.
- Plus Plan
Cartesian Planes Worksheets
Utilise this Cartesian plane worksheet set to give your students practise locating and plotting points on the Cartesian plane.
- Plus Plan
Riddle Me! Converting Units of Length – Worksheet
Sharpen measurement conversion skills with a set of 3 Maths riddle worksheets.
- Plus Plan
Adding and Subtracting Decimals – Differentiated Mystery Image Worksheets
Have students practise adding and subtracting decimals with this mystery image worksheet.
- Plus Plan
Angle Word Problems Teaching Slides
Help your students tackle angle word problems with ease using this step-by-step problem-solving guide.
- 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
Long Division Worksheet
Practising solving long division problems with this computation worksheet.
- Plus Plan
Chance Worksheets - Year 6
4 chance worksheets linked to the Australian Curriculum.
- Plus Plan
2D Symmetry Poster - Reflection and Rotational
This 2D symmetry poster explores both reflection and rotational symmetry.
- Plus Plan
Describe That Decimal Worksheet
Explore the place value of decimals with this versatile one-page printable worksheet.
- Plus Plan
Developing a Timetable Task
An open-ended task to practise developing a daily timetable of activities.
- Plus Plan
Metric Conversion Word Problems Worksheet Set
Assign our metric conversion word problems worksheet set to strengthen your students’ understanding of measurement conversions.
- Plus Plan
Conversion of Measurements Worksheets — ‘Riddle Me!’
Laugh and learn with our conversion of measurements worksheets that give students practice converting metric units of length, capacity and mass.
- Free Plan
Ordering Integers Activity — Task Cards
Introduce this ordering integers activity to your students to give them experience ordering positive and negative numbers.
- Free Plan
Measurement Conversions - Length – Worksheet
Use ratio reasoning to practise converting units of length with this worksheet.
- Plus Plan
Adding and Subtracting Like Fractions Bingo
Download this fractions bingo game to get your students adding and subtracting fractions with like denominators.
- 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.
- Plus Plan
Colour by Missing Angles Worksheets
Get students to find the size of missing angles on right angles, straight angles and angles at a point with this maths worksheet with a difference!
- Plus Plan
Drawing and Constructing 3D Objects – Interactive Activity
Construct digital and physical nets of some common 3D objects with this hands-on digital learning activity.
- Plus Plan
Adding and Subtracting Integers - Tarsia Puzzle
Practise adding and subtracting integers with a printable Tarsia puzzle!
- Plus Plan
Comparing Fractions – Teaching Presentation
Teach your students about comparing fractions with like numerators or denominators by means of visual models, number lines and mathematical reasoning.
- Plus Plan
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.