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
Top Secret Scavenger Hunt – Estimating Decimal Sums and Differences
Join the decimal scavenger hunt adventure! Download our printable scavenger hunt and guide your students to sharpen their estimation skills by using decimal benchmark values when finding sums and differences.
- Plus Plan
Estimating Sums and Differences With Decimals Worksheet for Year 6
Teach your students how to estimate decimal sums and differences with this year 6 maths worksheet.
- Plus Plan
Dot Day Division Tarsia Puzzle
Practise dividing two-digit by one-digit numbers with a Dot Day tarsia puzzle.
- Plus Plan
Coffee Shop Calculations – Estimation With Decimals Task Cards
Download this set of 24 task cards to help your students practise estimating decimal sums and differences with benchmark numbers.
- Plus Plan
Fractions and Decimals Number Line Puzzles
Practise identifying fractions and decimals on a number line with this set of 2- and 3-piece puzzles.
- Plus Plan
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.
- Plus Plan
Evaluating Expressions – Worksheet
Challenge your students to evaluate expressions with one or two variables by completing this worksheet.
- Plus Plan
Find the Whole From a Percent — Year 6 Maths Mazes
Print a set of 3 maths mazes for year 6 to practise solving percentage problems.
- Plus Plan
Converting Percentages – Maths Mazes
Practise converting fractions, decimals and percentages with this set of maths mazes.
- Plus Plan
Graphing on the Cartesian Plane
Use this maths poster with your students when learning about graphing on a Cartesian plane.
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Estimating Decimal Sums and Differences — Year 6 Worksheet
Refine year 6 students' rounding skills with an estimating decimal sums and differences worksheet.
- Plus Plan
Fractions, Decimals and Percentages – Task Cards
Practise converting percentages into decimals and fractions with this set of 24 task cards.
- Plus Plan
Numerical Expressions Sort
Solve and sort numerical expressions according to different categories with this sorting activity.
- Plus Plan
Five Wonders Theme Park: Slither House Sketch – Project
An inquiry project that encourages students to research animals and their habitats and design a reptile house in a theme park.
- Plus Plan
Complex Dot-to-Dot – Fractions and Decimals Puzzle for Year 6
Challenge year 6 students with a complex dot-to-dot where students demonstrate understanding of fractions and decimals.
- Plus Plan
Colossal Cinemas: Which Popcorn Popper? – Project
A project that encourages students to use imperial and customary units to measure popcorn poppers and the popcorn they produce.
- Plus Plan
Five Wonders Theme Park: Wonderful Expansion – Project
An engaging project that students can use to design their own additional theme for Five Wonders Theme Park.
- Free Plan
Metric Units of Measurement Connectors
A worksheet connecting units of measurement.
- Plus Plan
Dodging Equations Active Learning
A whole class active game that encourages learning through a physical setting.
- Plus Plan
My Recipe Rules - Measurement Worksheet
A worksheet using money and measurement concepts.
- Plus Plan
Australian Money Word Wall Vocabulary
Seventy-five money vocabulary cards.
- Plus Plan
Multiplying with Decimals Bingo Game
Get your students multiplying decimals by whole numbers with this engaging Bingo game.
- Free Plan
Positive and Negative Numbers Worksheet & Answers
Four pages of worksheets using positive and negative numbers.
- Plus Plan
Multiplication Facts PowerPoint - Eleven Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Multiplication Facts PowerPoint - Ten Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
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Multiplication Facts PowerPoint - Seven Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Multiplication Facts PowerPoint - Six Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Multiplication Facts PowerPoint - One Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Year 7 Maths Test - Measuring Volume
Assess your students' skills with measuring volume using a printable Year 6 Volume Assessment.
- Free Plan
Dividing Decimals Bingo
Master the ability to divide with decimals by playing a whole-class bingo game.
- Plus Plan
Multiplying Decimals Maths Mazes
Complete decimal multiplication problems while finding your way through this set of three math mazes.
- Plus Plan
Estimating Decimal Sums and Differences Interactive Activity
Take your students on a safari adventure while practicing how to estimate decimal sums and differences with this interactive activity.