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
Adding and Subtracting Fractions Board Game
Use this adding and subtracting fractions game as a fun alternative to worksheets.
- 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
Multiplying with Decimals – Differentiated Worksheets
Strengthen computation skills with this set of decimal multiplication worksheets.
- Plus Plan
Decimals and Percentages Assessment
Assess students' knowledge of various decimals and percentages concepts with this four-page worksheet.
- Free Plan
Factor Trees – Worksheet
Find the prime factors of numbers using factor trees with this worksheet.
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Converting Units of Mass – Worksheet
Convert units of mass including those with decimal representation using this worksheet.
- Plus Plan
Decimal Number Patterns – Differentiated Worksheets
Practise determining a pattern and next value in a numerical sequence of decimals to the hundredths place.
- Free Plan
Find and Colour – Prime and Composite Numbers
Encourage your year 6 students to identify prime and composite numbers up to 100 with this free find and colour worksheet.
- Plus Plan
Chance Worksheets - Year 6
4 chance worksheets linked to the Australian Curriculum.
- Free Plan
Measurement Conversion Scoot Game
Grab a handy set of 24 measurement conversion task cards to use as a whole class scoot activity.
- 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.
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Finding Volume – Differentiated Worksheets
Practise finding the volume of rectangular prisms and cubes with this set of differentiated worksheets.
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Location and Transformation Worksheets - Year 6
4 location and transformation worksheets linked to the Australian Curriculum.
- Plus Plan
Angles Maths Investigation – Design a Room
Turn your students into interior designers with this inquiry-based maths project based on drawing and measuring angles.
- Plus Plan
Soccer-Themed Maths Problem Solving Worksheets
Practise multiplication, division and problem solving skills with a high-interest soccer-themed scenario activity.
- Plus Plan
Order of Operations – Interactive Activity
Solve expressions by using the order of operations with this interactive activity.
- 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
Converting Units of Measurement Posters
Use these posters to assist your students to learn and convert the different units of measurement.
- Plus Plan
Geometric Reasoning Worksheets - Year 6
2 worksheets linked to the Australian Curriculum.
- Plus Plan
Describe That Decimal Worksheet
Explore the place value of decimals with this versatile one-page printable worksheet.
- 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.
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Interactive Maths Review – Activities for Years 5, 6 and 7
Review important maths concepts covered in years 5, 6 and 7 with a student-led interactive activity.
- Plus Plan
3D Net Templates - Correct and Incorrect
Explore correct and incorrect representations of 3D object nets with this set of templates.
- Plus Plan
BODMAS Classroom Poster
Hang this BODMAS poster in the classroom to guide students through the order of operations.
- Plus Plan
Adding and Subtracting Decimals Word Problems Worksheet
Practise solving word problems by adding and subtracting decimals to the thousandths place with this worksheet.
- Free Plan
Converting Units of Capacity Worksheet
A worksheet that focuses on converting units of capacity.
- Plus Plan
Advanced Angles Teaching Slides
Teach your students about advanced angle types with this teaching presentation perfect for upper primary school maths lessons.
- 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
Graphing on the Cartesian Plane Teaching Slides
Teach your students how to plot points on a graph using ordered pairs from input-output tables with this set of teaching slides.
- Plus Plan
Printable Maths Mats - Graphic Organisers
Practice working on specific math concepts with our set of 5 printable math graphic organisers.
- Plus Plan
Number Talks — Order of Operations Task Cards
Build number sense skills with this set of 20 task cards.
- Plus Plan
Capacity Vs Volume Poster
A poster explaining the difference between capacity and volume.