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
Maths Mazes (Factors)
A set of maths mazes that allow students to demonstrate their knowledge of factors.
- Plus Plan
Angle Word Problems – Worksheet
Download these angles word problem worksheets so your students can practise calculating missing angles.
- Plus Plan
Plotting and Comparing Integers – Worksheet
Practise plotting integers on a number line and completing comparison statements with this worksheet.
- Free Plan
Fractions, Decimals and Percentages Polygon Puzzle
A puzzle using fractions, decimals and percentages.
- Plus Plan
Multiplication Facts PowerPoint - Four Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
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.
- 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
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.
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Comparing Fractions Mini-Book
Use this mini-book to help your students learn how to compare fractions with visual models, number lines and mathematical reasoning.
- Plus Plan
Frida's Fiesta Stimulus – Task Cards
39 activity task cards based on the Frida's Fiesta Restaurant menu stimulus poster.
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Number Talks — Order of Operations Task Cards
Build number sense skills with this set of 20 task cards.
- Plus Plan
Money and Financial Mathematics - Upper Years Interactive PowerPoint
An engaging 44 slide interactive PowerPoint to use in the Upper Years classroom when learning about money and financial mathematics
- Free Plan
Mathematics Vocabulary Posters
A teaching resource to help students identify the symbols and associated vocabulary for mathematical operations.
- Plus Plan
Reflection, Translation, Rotation Poster
A visual poster examining the difference between reflection, translation and rotation.
- Plus Plan
Area of 2D Shapes Posters
Area of 2D Shapes - so many rules and formulas to remember!
- Plus Plan
Comparing Fractions – Exit Tickets
Compare fractions with the same numerator or denominator with this set of 24 exit tickets.
- Plus Plan
Adding and Subtracting Decimals Year 6 Worksheet
Practise adding and subtracting decimals to the hundredths place with this worksheet.
- Plus Plan
Maths Warm Ups PowerPoint - Year 6
A PowerPoint providing a series of warm up activities for Year 6 students across the curriculum.
- Plus Plan
Prime Numbers - Assorted Backgrounds
Prime numbers displayed on a hundreds board.
- Plus Plan
Nets of 3D Objects - Poster
A poster highlighting the nets of a selection of 3D Objects.
- Plus Plan
Operation Domination Game
A fun game using addition, subtraction, multiplication and division.
- 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
Multiplication Facts PowerPoint - Two Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Angle Word Problems Teaching Slides
Help your students tackle angle word problems with ease using this step-by-step problem-solving guide.
- Plus Plan
Comparing Fractions, Decimals and Percentages – Worksheet
Strengthen student understanding of how to compare fractions, decimals and percentages with this worksheet.
- Plus Plan
Five Wonders Theme Park: Token Night – Project
A project in which students use stimulus posters to plan the best evening at Five Wonders Theme Park within a given budget and time frame.
- Plus Plan
Five Wonders Theme Park: Flying Visit – Project
Students use their knowledge of maps, timetables and money to plan a well-timed 'flying' visit to Five Wonders Theme Park, between two connecting flights.
- Free Plan
Fractions of Whole Numbers – Worksheet
A set of differentiated worksheets that focus on finding simple fractions of quantities.
- Free Plan
Open Number Line Worksheets
Provide your students with a blank number line worksheet for number and algebra work.
- Plus Plan
Using Units of Measurement Worksheets - Year 6
10 using units of measurement worksheets linked to the Australian Curriculum.
- 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
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.