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
Subtracting Fractions With Like Denominators Teaching Slides
Teach your students how to subtract fractions with like denominators using a variety of strategies with this comprehensive slide deck.
- Plus Plan
3-Act Maths Tasks - Time Word Problems
Practise problem-solving skills and time conversions with a printable pack of 3 Act Maths Task worksheets.
- 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.
- Plus Plan
Capacity Vs Volume Poster
A poster explaining the difference between capacity and volume.
- Plus Plan
Maths Mazes (Factors)
A set of maths mazes that allow students to demonstrate their knowledge of factors.
- Free Plan
Fraction, Decimal and Percentage Bingo
Convert between fractions, decimals and percentages with this engaging Bingo game the whole class can enjoy!
- Plus Plan
Percentages, Fractions, Decimals Worksheet
A worksheet connecting percentage, decimal and fraction values.
- Plus Plan
Adding Fractions With Like Denominators Task Cards
Get your students adding fractions with like denominators using this set of task cards focusing on a variety of strategies.
- Plus Plan
Mixed Number - Fraction Model Match-Up
Practice matching improper fractions, mixed numbers, bar models, and fraction number lines with this set of 36 match-up cards.
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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
- Plus Plan
Decimal Operations Worksheet
Get students applying the four operations to decimal numbers with this set of two maths worksheets.
- Plus Plan
Nets of 3D Objects - Poster
A poster highlighting the nets of a selection of 3D Objects.
- Free Plan
Fractions of Whole Numbers – Worksheet
A set of differentiated worksheets that focus on finding simple fractions of quantities.
- Plus Plan
Mass Vs Weight Poster
A poster explaining the difference between mass and weight.
- Plus Plan
BODMAS Classroom Poster
Hang this BODMAS poster in the classroom to guide students through the order of operations.
- 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
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
Order of Operations – Mini Book
Learn how to solve equations using the order of operations with this mini book.
- 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
Geometric Reasoning Worksheets - Year 6
2 worksheets linked to the Australian Curriculum.
- Plus Plan
Using Units of Measurement Worksheets - Year 6
10 using units of measurement worksheets linked to the Australian Curriculum.
- Plus Plan
Pandora's Party Palace Maths Activity – Upper Years
Sixteen mathematics problem-solving task cards involving money in a real-world context.
- Plus Plan
Operation Domination Game
A fun game using addition, subtraction, multiplication and division.
- 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
Decimal Exit Tickets (Place Value, Rounding, Ordering and Computation)
Assess student understanding of decimal place value, rounding, ordering and computation with this set of 21 exit tickets.
- Plus Plan
Rounding Decimals Worksheet Set
Practise rounding numbers to the nearest whole, tenth, hundredth and thousandth with this worksheet set.
- Plus Plan
Year 6 Numeracy Exit Tickets – Worksheets
23 Numeracy Exit Ticket activities for students to provide evidence of their learning progress.
- Plus Plan
Coordinates Drawing - Rocket
Students create this rocket by following the directions.
- 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
I Have, Who Has? Game - Fraction, Decimal and Percentage Equivalence
Reinforce students' understanding of fraction, decimal and percentage equivalence with a whole-class game.
- 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.