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
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
Multi-Step Word Problem Cards (Division and Multiplication) - Upper Primary
Solve multi-step multiplication and long division word problems with a set of printable maths task cards.
- Free Plan
Nets of 3D Objects
Create a variety of 3D shapes with this comprehensive set of net templates.
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Converting Units of Length – Worksheet
Connect decimal representation while converting units of length with this worksheet.
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Word Problem Worksheets - Year 5 and Year 6
4 mixed operations word problem worksheets with answers.
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The Mathematical Easter Egg Hunt – Whole Class Game
A differentiated whole class Easter egg hunt.
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Reading and Interpreting Timetables Worksheets
Five pages of worksheets that allow students to work on reading and interpreting timetables.
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Area and Perimeter Paddock Problems – Worksheets
A set of differentiated area and perimeter worksheets.
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Year 6 Mental Maths Drills Workbook
Incorporate this mental maths drills booklet into your maths lesson warm-up routine.
- Plus Plan
Adding and Subtracting Fractions Worksheets
Three worksheets to use when teaching your students how to add and subtract fractions.
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Location and Transformation Worksheets - Year 6
4 location and transformation worksheets linked to the Australian Curriculum.
- Plus Plan
Data Representation and Interpretation Worksheets - Year 6
8 data representation and interpretation worksheets linked to the Australian Curriculum.
- Free Plan
Fraction, Decimal and Percentage Bingo
Convert between fractions, decimals and percentages with this engaging Bingo game the whole class can enjoy!
- Free Plan
Factor Trees – Worksheet
Find the prime factors of numbers using factor trees with this worksheet.
- 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
Identifying Prime and Composite Numbers – Worksheet
Use understanding of factors to identify composite and prime numbers with this worksheet.
- Plus Plan
Printable Maths Mats - Graphic Organisers
Practice working on specific math concepts with our set of 5 printable math graphic organisers.
- Plus Plan
Blank Number Lines - Printable
Print a set of open number lines to help you teach a variety of maths skills.
- Plus Plan
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
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
Adding and Subtracting Decimals Word Problems Worksheet
Practise solving word problems by adding and subtracting decimals to the thousandths place with this worksheet.
- Plus Plan
Operations with Decimals Teaching Slides
Teach your students how to add, subtract, multiply and divide using decimal numbers with this comprehensive teaching presentation perfect for upper primary maths lessons.
- Plus Plan
Daily Maths Word Problems - Year 6 (Worksheets)
A set of 20 problem-solving questions suited to year 6 students.
- Plus Plan
Soccer-Themed Maths Problem Solving Worksheets
Practise multiplication, division and problem solving skills with a high-interest soccer-themed scenario activity.
- Free Plan
Multiplying with Decimals – Differentiated Worksheets
Strengthen computation skills with this set of decimal multiplication worksheets.
- Plus Plan
Multi-Digit Multiplication Strategies Poster Pack
Teach your students about different multi-digit multiplication methods with this set of maths posters.
- Plus Plan
Area Worksheets
4 area worksheets.
- Plus Plan
Concepts of Time Assessment - Year 5 and Year 6
Assess your students' knowledge of elapsed time, reading schedules, converting 12 and 24-hour time and reading timelines with a Concepts of Time Test.
- 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
Adding Fractions with Common Denominators Worksheet
A worksheet using fractions with common denominators.
- Free Plan
Patterns in Place Value Worksheet
Use this place value worksheet to get your students analysing decimal place value in numbers.
- Plus Plan
Adding and Subtracting Decimals – Word Problem Task Cards
Have students solve decimal word problems with this set of 16 task cards, perfect for math centers.