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 Decimals, Fractions and Percentages – Worksheet
Strengthen your students’ understanding of how to convert a percent to a decimal and a fraction with this worksheet.
- Plus Plan
Estimating Decimal Sum and Differences — Year 6 Maths Mazes
Year 6 students can practise estimating solutions to decimal addition and subtraction equations with this set of maths mazes.
- 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.
- Free Plan
Metric Units of Measurement Connectors
A worksheet connecting units of measurement.
- Plus Plan
Measurement Word Search with Solution
A fun word search to help your students learn measurement vocabulary.
- Plus Plan
Geometric Reasoning Worksheets - Year 6
2 worksheets linked to the Australian Curriculum.
- Free Plan
Positive and Negative Numbers Worksheet & Answers
Four pages of worksheets using positive and negative numbers.
- Plus Plan
Multiplication Facts PowerPoint - Ten Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Multiplication Facts PowerPoint - Five Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Multiplying Decimals Bingo
Solve for products of decimals to the hundredths place with a whole-class bingo game.
- Plus Plan
Dividing Decimals by Whole Numbers Teaching Slides
Teach your students how to divide decimals by whole numbers using visual models and the standard algorithm using this step-by-step teaching presentation.
- 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
Units of Measurement Word Wall Vocabulary
Print a pack of measurement vocabulary cards to help your students review academic vocabulary.
- Plus Plan
Decimal Patterns Maths Mazes
Find your way through this set of maths mazes by determining the addition or subtraction pattern in a sequence of decimal numbers.
- Plus Plan
Estimating Decimal Sums and Differences — Year 6 Worksheet
Refine year 6 students' rounding skills with an estimating decimal sums and differences worksheet.
- 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.
- Plus Plan
Five Wonders Theme Park: Induction Booklet – Project
A project where students study the Five Wonders Theme Park stimulus poster to understand and use real world learning skills.
- Plus Plan
Number Talks – Decimal Operations Task Cards
Explore decimal operations with your students using this set of 26 number talk task cards.
- Plus Plan
Coordinates Drawing - Lion
Students create this lion by following the directions.
- Plus Plan
Prime and Composite Number Worksheet
A worksheet to consolidate your students' understanding of prime and composite numbers.
- Plus Plan
Roll Me a Discount! Board Game
Use this printable interactive dice game to consolidate understanding of discounts and sale price.
- Plus Plan
Multiplication Facts PowerPoint - Eight Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Multiplying Decimals Task Cards
Get your students multiplying decimals by decimals and whole numbers with this set of 24 task cards perfects for maths rotations.
- Plus Plan
Dividing Decimals by Whole Numbers Worksheet Pack
Download these dividing decimals by whole numbers worksheets to provide your students with practice using visual models and the standard algorithm.
- 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
Rounding Decimals Worksheet Set
Practise rounding numbers to the nearest whole, tenth, hundredth and thousandth with this worksheet set.
- Plus Plan
Comparing Fractions Board Game
Improve student understanding of how to compare fractions with the same numerators or denominators with this comparing fractions game.
- Plus Plan
Comparing Fractions, Decimals and Percentages – Worksheet
Strengthen student understanding of how to compare fractions, decimals and percentages with this worksheet.
- Plus Plan
Numerical Expressions Sort
Solve and sort numerical expressions according to different categories with this sorting activity.
- Plus Plan
Percent Matching Game for Year 6 Maths
Match fractions, decimals and percentages with this printable matching game for year 6.
- 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.