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
Converting Fractions and Decimals – Worksheet
Solve problems that involve converting fractions and decimals with this worksheet.
- Plus Plan
Mega Matcher (Fractions, Decimals and Percentages) Year 6 Interactive Game
Match equivalent fractions, decimals and percentages with this interactive activity with a code cracking twist.
- 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
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.
- Free Plan
Fractions of Whole Numbers – Worksheet
Use these worksheets when working on finding fractions of whole numbers with your class.
- Plus Plan
Build Your Own Theme Park – Project
A project that gives students the opportunity to learn through building their own theme park.
- Plus Plan
Five Wonders Theme Park Resource Bundle
Unlock creativity and engage your learners with this Five Wonders Theme Park resource bundle, consisting of 10 open-ended inquiry projects on a range of topics.
- Plus Plan
Introducing Percentages PowerPoint
A 12 slide editable PowerPoint template to use when introducing percentages to your students.
- Plus Plan
Using Units of Measurement Worksheets - Year 6
10 using units of measurement worksheets linked to the Australian Curriculum.
- Plus Plan
Roll Me a Discount! Board Game
Use this printable interactive dice game to consolidate understanding of discounts and sale price.
- Plus Plan
Positive and Negative Integers Poster
A poster showing when to add and subtract positive and negative integers.
- Plus Plan
Positive and Negative Integers Poster
A poster showing when to add and subtract positive and negative integers.
- Plus Plan
Multiplication Facts PowerPoint - Seven Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Fraction, Percentage and Decimal Wheels
Explore equivalent fractions, decimals and percentages with this set of wheels perfect for hands-on learning.
- Plus Plan
Converting Units of Measurement Games — 'Construction Conversions' Board Game
Introduce converting units of measurement games like our “Construction Conversions” board game to help your students master conversions of metric length.
- Plus Plan
Cartesian Coordinate Plane Activities — Four Quadrant Sort
Play Cartesian coordinate plane activities like this one to enhance student skills in identifying points in all four quadrants.
- Plus Plan
Metric Measurement Conversions Dominoes
Play a game of measurement dominoes to help students practise converting metric measurements.
- 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
Dividing Decimals Task Cards
Sharpen decimal division skills with this set of 24 task cards.
- Free Plan
Measurement Conversion Scoot Game
Grab a handy set of 24 measurement conversion task cards to use as a whole class scoot activity.
- Plus Plan
Converting Fractions and Decimals Match-Up Activity
Have students practise how to convert a fraction to a decimal with this match-up activity perfect for maths rotations.
- Plus Plan
Decimal Operations Maths Mats
Get students reviewing decimal operations with these engaging, puzzle-based math mats.
- Plus Plan
Plan a Halloween Party – Estimation Project
Plan your own Halloween party and practice estimating sums, differences and products of whole numbers and decimals with an engaging maths project!
- 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
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
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
Graphing Numerical Equations – Google Slides Interactive Activity
Recognise and analyse patterns in graphs, input-output tables and equations with this interactive activity.
- Plus Plan
Comparing Fractions – Task Cards
Practise comparing fractions with the same numerator or denominator with this set of 24 task cards.
- Plus Plan
Adding and Subtracting Decimals — Small Group Bingo Game
Review how to add and subtract decimals with a printable small group bingo game.
- Plus Plan
Find the Whole From a Percentage Worksheet
Practise how to find the whole from a percentage with this standard-practice worksheet.
- Plus Plan
Understanding Exponents – Task Cards
Practise rewriting, comparing and evaluating expressions with exponents with this set of task cards.
- Plus Plan
Percent Models I Have Who Has? Game
Practise identifying percentages with visual percent models by playing an exciting 'I Have, Who Has?' game.