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 Mental Maths Drills Workbook
Incorporate this mental maths drills booklet into your maths lesson warm-up routine.
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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.
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Comparing and Ordering Integers Worksheet Set
Integrate this comparing and ordering integers worksheet set into your unit on positive and negative numbers.
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Place Value Slider Set
Break out this place value slider set for a hands-on way to demonstrate multiplying and dividing whole numbers and decimals by powers of ten.
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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.
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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.
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Patterns in Place Value Teaching Slides
Strengthen student understanding of decimal place value and the relationship between place value positions with this instructional slide deck.
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Understanding Positive and Negative Numbers – Worksheet
Explore positive and negative numbers by plotting integers on a number line and identifying opposites with this worksheet.
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Identifying Prime and Composite Numbers – Worksheet
Use understanding of factors to identify composite and prime numbers with this worksheet.
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Printable Maths Mats - Graphic Organisers
Practice working on specific math concepts with our set of 5 printable math graphic organisers.
- Free Plan
Ordering Integers Activity — Task Cards
Introduce this ordering integers activity to your students to give them experience ordering positive and negative numbers.
- 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.
- Free Plan
Factor Trees – Worksheet
Find the prime factors of numbers using factor trees with this worksheet.
- Free Plan
Cartesian Plane Printable Poster
Display this Cartesian plane printable poster in your classroom when teaching units about graphing on cartesian planes.
- Plus Plan
Cartesian Plane Game — Galaxy Escape Room!
Play this engaging Cartesian plane game with your students to help refine their plotting skills as they make their escape!
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Plotting and Comparing Integers – Worksheet
Practise plotting integers on a number line and completing comparison statements with this worksheet.
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Analysing Data Worksheet Set
Share this analysing data worksheet set with your students to give them varied practice interpreting multiple data representations.
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Cartesian Plane Pictures
Present these Cartesian plane pictures to your students to enhance their skills in plotting points in all four quadrants.
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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.
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The Escape From Millbrook Manor – Whole Class Escape Game
Practise computation skills by solving puzzles with this differentiated Halloween escape room game.
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Integers on Number Lines - Interactive Task Cards
Teach your students to locate positive and negative integers on a number line with a Google Slides interactive number line activity.
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Cartesian Plane Mystery Pictures
Practise graphing on the Cartesian plane with this set of differentiated mystery pictures.
- Plus Plan
Daily Maths Word Problems - Year 6 (Worksheets)
A set of 20 problem-solving questions suited to year 6 students.
- 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
Multiplication Facts PowerPoint - Two Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Free Plan
Expanded Notation Poster
Explore the world of expanded notation with a printable classroom poster that easily explains the concept for students!
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Tessellating Shapes Worksheet Set
Download this tessellating shapes worksheet set to introduce your students to the beauty of tesselations.
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Cartesian Plane Worksheet Set (Real-World Scenarios)
Differentiate with our Cartesian plane worksheet set full of real-world maths scenarios.
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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
Data Representation and Interpretation Worksheets - Year 6
8 data representation and interpretation worksheets linked to the Australian Curriculum.
- Free Plan
Nets of 3D Objects
Create a variety of 3D shapes with this comprehensive set of net templates.
- Plus Plan
Prime Numbers - Assorted Backgrounds
Prime numbers displayed on a hundreds board.