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
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
Identifying Prime and Composite Numbers – Worksheet
Use understanding of factors to identify composite and prime numbers with this worksheet.
- Plus Plan
Mini-Mystery – Who Won the Race?
A fun, logic-based activity where students read clues to solve the mystery.
- Plus Plan
Money and Finances Maths Investigation – Pop–Up Shop on Wheels
A project where students use their mathematic skills to plan a fundraiser for a charity of choice.
- Free Plan
Fractions, Decimals and Percentages Polygon Puzzle
A puzzle using fractions, decimals and percentages.
- Free Plan
Factor Trees – Worksheet
Find the prime factors of numbers using factor trees with this worksheet.
- Plus Plan
Multiplying and Dividing by Powers of 10 Anchor Chart Set
Display our multiplying and dividing by powers of 10 anchor chart set in your classroom for an easy reference for students learning operations with powers of 10.
- 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
Cartesian Plane Worksheet Set (Real-World Scenarios)
Differentiate with our Cartesian plane worksheet set full of real-world maths scenarios.
- Free Plan
Cartesian Plane Template Set
Download this Cartesian plane template set for use in your Cartesian planes or graphing unit.
- Free Plan
Multiplying with Decimals – Differentiated Worksheets
Strengthen computation skills with this set of decimal multiplication worksheets.
- Plus Plan
Multiplying Decimals Maths Mazes
Complete decimal multiplication problems while finding your way through this set of three math mazes.
- Free Plan
Dividing Decimals Maths Mazes
Review how to divide a decimal by a decimal and a whole number with this set of maths mazes.
- Free Plan
Real World Applications of Positive and Negative Numbers – Worksheet
Use positive and negative numbers to represent quantities in real-world scenarios with this worksheet.
- Plus Plan
Long Division Worksheet
Practising solving long division problems with this computation worksheet.
- Plus Plan
Mega Matcher (Fractions, Decimals and Percentages) Year 6 Interactive Game
Match equivalent fractions, decimals and percentages with this interactive activity with a code cracking twist.
- 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
Number Talks – Adding and Subtracting Fractions with Unlike Denominators Task Cards
Explore addition and subtraction of fractions with your students using this set of 24 number talk task cards.
- Free Plan
Connecting Volume and Capacity Posters
A set of three posters to help with connecting and converting units of volume and capacity.
- Plus Plan
3D Net Templates - Correct and Incorrect
Explore correct and incorrect representations of 3D object nets with this set of templates.
- 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
Measurement Word Search with Solution
A fun word search to help your students learn measurement vocabulary.
- 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
Multiplication Facts PowerPoint - Four Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- 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
Cartesian Plane Games — "Roll and Graph"
Play our Cartesian plane games in your classroom to enhance students’ ability to plot points and find the distance between them.
- Free Plan
Ordering Integers Activity — Task Cards
Introduce this ordering integers activity to your students to give them experience ordering positive and negative numbers.
- Plus Plan
Translations, Reflections and Rotations Worksheet Pack
Assign this translations, reflections, and rotations worksheet to give your students practise with transformations and positioning on the Cartesian plane.
- 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 Decimals – Word Problem Task Cards
Solve a variety of word problems by multiplying decimals with this set of 24 task cards.
- Plus Plan
Reading and Interpreting Timetables Worksheets
Five pages of worksheets that allow students to work on reading and interpreting timetables.
- Plus Plan
Dot Day Colour By Number Printable - Upper Years
Integrate Dot Day concepts into your maths lessons with printable Dot Day Multiplication and Division colour-by-number worksheets.