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
Cartesian Plane Worksheet Set (Real-World Scenarios)
Differentiate with our Cartesian plane worksheet set full of real-world maths scenarios.
- 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
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
Maths Brain Teasers Task Cards
Spark critical thinking with maths brain teasers embedded in real-world scenarios to engage and challenge your upper primary students.
- Plus Plan
Misleading Statistics Teaching Slides
Use our misleading statistics teaching slides to increase statistical literacy and teach your students how to look at data displays with a critical eye.
- 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.
- 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
Identifying Prime and Composite Numbers – Worksheet
Use understanding of factors to identify composite and prime numbers with this worksheet.
- Plus Plan
Order of Operations – Maths Maze
Evaluate numerical expressions using the order of operations with this math maze!
- Plus Plan
Adding and Subtracting Decimals Year 6 Worksheet
Practise adding and subtracting decimals to the hundredths place with this worksheet.
- Plus Plan
Nets of 3D Objects - Poster
A poster highlighting the nets of a selection of 3D Objects.
- Plus Plan
Adding Fractions With Like Denominators Interactive Maze
Get your students to add like fractions to find their way out of a space-themed digital maze!
- Plus Plan
Measuring Angles in Images Worksheets
Get your students using their protractors to measure acute, obtuse, right, straight and reflex angles with this set of differentiated angles worksheets.
- Plus Plan
Introducing Percentages PowerPoint
A 12 slide editable PowerPoint template to use when introducing percentages to your students.
- Plus Plan
Volume and Capacity Activity — 'Splash World' Maths Investigation
Use this volume and capacity activity to expose your students to real-world volume applications by letting them design 'Splash World' — their very own waterpark!
- Plus Plan
Converting Mass Worksheet Set
Download this converting mass worksheet set to give your students the practice they need to master conversions of metric mass.
- Plus Plan
Riddle Me! Converting Units of Length – Worksheet
Sharpen measurement conversion skills with a set of 3 Maths riddle worksheets.
- 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 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
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
Measurement Escape Room
‘Escape’ the ordinary in your classroom with this measurement escape room that will engage your students as they solve measurement conversion problems.
- Plus Plan
Year 6 Metric Conversions Practice Sheets - Length
Practise converting, comparing, and ordering metric measurements with a Year 6 Metric Conversions worksheet pack.
- Plus Plan
Converting Units of Measurement Posters
Use these posters to assist your students to learn and convert the different units of measurement.
- Free Plan
Multiplying with Decimals – Differentiated Worksheets
Strengthen computation skills with this set of decimal multiplication worksheets.
- Plus Plan
Decimal Number Patterns – Differentiated Worksheets
Practise determining a pattern and next value in a numerical sequence of decimals to the hundredths place.
- Plus Plan
Grocery Percentages – Year 6 Maths Worksheet
Use percentages to calculate discounts with this maths worksheet designed for students in years 6 and 7.
- 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
Adding and Subtracting Fractions Maths Investigation — Renovate with a Rug!
Immerse your students in all things fractions with this maths project based around a real-world scenario.
- Plus Plan
Converting Units of Length - Interactive Slides Activity
Make converting lengths of measurement a breeze with a Measurement Conversion Digital Learning Activity.
- Plus Plan
Finding the Area of 2D Shapes Poster
Display this math poster showing the area formula for different 2D shapes during your space and measurement lessons.
- Plus Plan
Angle Word Problems – Worksheet
Download these angles word problem worksheets so your students can practise calculating missing angles.
- Plus Plan
Maths Mazes (Equivalent Fractions, Decimals and Percentages)
Determine equivalent fractions, decimals and percentages in this puzzling maths maze.