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)
- Free Plan
Nets of 3D Objects
Create a variety of 3D shapes with this comprehensive set of net templates.
- Plus Plan
Area and Perimeter Paddock Problems – Worksheets
Use these worksheets when working on finding the area and perimeter of shapes using familiar metric units.
- Plus Plan
Year 6 Fractions, Decimals and Percentages Worksheets
Use these fractions, decimals and percentages worksheets in your Year 6 classroom for independent practice or as an assessment activity.
- Plus Plan
Adding and Subtracting Fractions Worksheets
Use these adding and subtracting fractions worksheets to enable your students to practise this important skill.
- Free Plan
Chance and Data Maths Investigation - Roll Me a Six!
A mathematics investigation involving chance and data, embedded in a real-world context.
- Plus Plan
Missing Angles – Year 6 Maths Worksheet
Download this missing angles worksheet to get your students calculating missing angles on right and straight angles.
- Plus Plan
Decimals and Percentages Maths Investigation – Plan a Party!
Get your students connecting their maths knowledge to the real world with this decimals and percentages party planning project.
- Plus Plan
Decimal Place Value Worksheets
Use these decimal place value worksheets to help your students analyse patterns in decimal place values out to the thousandths place.
- Free Plan
Converting Capacity Worksheet Set
Assign these converting capacity worksheet pages to give your students essential practice converting metric units of capacity.
- Plus Plan
Analysing Data Worksheet Set
Share this analysing data worksheet set with your students to give them varied practice interpreting multiple data representations.
- Free Plan
Metric Measurement Conversion Worksheet Set
Utilise our metric measurement conversion worksheet set to give your students practise converting units of metric length, mass and capacity.
- Plus Plan
Read and Interpret Timetables Worksheets
Five pages of worksheets that allow students to work on reading and interpreting timetables.
- Plus Plan
Types of Angles Poster Pack
Remind your students about the most common types of angles with this set of six classroom posters.
- Plus Plan
3D Net Templates - Correct and Incorrect
Explore correct and incorrect representations of 3D object nets with this set of templates.
- Free Plan
Angles at a Point – Year 6 Maths Worksheet
Identify and calculate angles at a point with this one-page maths worksheet.
- Plus Plan
Chance Worksheets - Year 6
4 chance worksheets linked to the Australian Curriculum.
- Plus Plan
Fraction Decimal Percent Activity
Download this fraction decimal percent activity to give your students hands-on practice matching fraction, decimal and percent equivalents.
- Plus Plan
Probability Experiments — Mystery Bucket Challenge
Conduct probability experiments like our ‘Mystery Bucket Challenge’ to give your students hands-on experience with concepts of chance.
- Plus Plan
Algebra Questions Year 6 Worksheet Set
Share these algebra questions year 6 worksheets with your students to level up their skills in identifying number patterns and following the order of operations.
- 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.
- Plus Plan
Adding Fractions With Like Denominators Worksheets
Download this set of adding fractions with like denominators worksheets to help your students practise this important maths skill.
- Plus Plan
Area Worksheets
4 area worksheets.
- Plus Plan
Word Problem Worksheets - Year 5 and Year 6
4 mixed operations word problem worksheets with answers.
- Plus Plan
Year 6 Mental Maths Drills Workbook
Incorporate this mental maths drills booklet into your maths lesson warm-up routine.
- Free Plan
Converting Length Worksheets
Download our converting length worksheets to allow your students to demonstrate an understanding of decimal representations while converting units of metric length.
- Plus Plan
Financial Mathematics Maths Investigation – Let's Play Mini Golf!
A mathematics investigation about financial mathematics and measurement, embedded in a real-world context.
- Plus Plan
Chance and Probability Upper Years PowerPoint
An engaging 30 slide interactive PowerPoint to use in the classroom when learning about chance and probability in the upper years.
- Plus Plan
Order of Operations – Maths Maze
Evaluate numerical expressions using the order of operations with this math maze!
- Plus Plan
Adding Fractions with Common Denominators Worksheet
Use this adding fractions with common denominators worksheet to get your upper primary students practising this key maths skill.
- Plus Plan
3D Objects Maths Investigation - Make Me a Radical Robot!
Relate knowledge of 3D shapes to the real world with this student-led mathematics project.
- Plus Plan
Cartesian Plane Worksheet Set (Real-World Scenarios)
Differentiate with our Cartesian plane worksheet set full of real-world maths scenarios.
- Plus Plan
Adding and Subtracting Like Fractions Puzzle Pack
Get your students adding and subtracting fractions with like denominators with this set of nine fraction puzzles!