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)
- Free Plan
Real World Applications of Positive and Negative Numbers – Worksheet
Use positive and negative numbers to represent quantities in real-world scenarios with this worksheet.
- Plus Plan
Digital Christmas Escape Room for the Classroom — Elf Investigation
This exciting Christmas escape room has been created by our teacher team to engage your upper years students this holiday season. Help the Mayor of Elfton catch the person responsible for some mischievous events in his town.
- Plus Plan
Number Talks - Integer Operations Task Cards
Build number sense skills with this set of 24 task cards.
- Plus Plan
Prime and Composite Number Worksheet
A worksheet to consolidate your students' understanding of prime and composite numbers.
- Plus Plan
Number and Place Value Worksheets - Year 6
6 number and place value worksheets linked to the Australian Curriculum.
- Plus Plan
Estimating Decimal Sums and Differences Task Cards
Challenge your students to use rounding and benchmark values to estimate sums and differences of decimals with this set of 24 task cards.
- Plus Plan
The Mathematical Easter Egg Hunt – Whole Class Game
A differentiated whole class Easter egg hunt.
- Plus Plan
Prime Factorisation Match-Up
Practise how to find the prime factorisation of a number with this match-up activity.
- 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.
- Plus Plan
Decimal Patterns Match-Up Activity
Use this match-up activity to determine patterns and extend numerical sequences by adding and subtracting decimals.
- 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
Frida's Fiesta: Layout Confusion – Projects
A project where students apply their measurement and fraction knowledge to determine where furniture goes in a restaurant.
- Plus Plan
Polygon Puzzle - Index Notation with Answers
A puzzle involving index and expanded notation.
- Plus Plan
Multiplication Facts PowerPoint - Fourteen Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Multiplication Facts PowerPoint - Thirteen Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Dividing Decimals Match-Up Activity
Divide decimals and find the correct quotient with this match-up activity.
- Plus Plan
Dividing Decimals Task Cards
Sharpen decimal division skills with this set of 24 task cards.
- Plus Plan
Multiplying Decimals Match-Up Activity
Get students multiplying decimals with this engaging card game, perfect for maths groups.
- 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
Expressions With Exponents – Cut and Paste Message Reveal
Reveal a mystery message by applying the order of operations to solve expressions with exponents.
- Plus Plan
Exponential Expressions – Match-Up Activity
Match numerical expressions with exponents to their expanded expressions and solutions with this match-up activity.
- Free Plan
Integers Polygon Puzzle
A puzzle using positive and negative numbers in number sentences.
- Plus Plan
Money and Financial Mathematics Teaching Resource Pack
A collection of resources exploring money and financial mathematics.
- Plus Plan
Time Teaching Resource Pack
A collection of resources exploring time concepts.
- Plus Plan
Fractions Resource Pack
A collection of resources exploring fractions.
- Plus Plan
Operations with Fractions Unit Plan - Year 5 and Year 6
This Mathematics unit covers a range of concepts relating to fractions.
- Plus Plan
Operations with Decimals and Percentages Unit Plan - Year 5 and Year 6
This Mathematics unit covers a range of concepts relating to decimals and percentages; specifically calculations.
- Plus Plan
Applications of Time Unit Plan - Year 5 and Year 6
This Mathematics unit addresses the concepts of 12- and 24-hour time, timetables and timelines.
- Plus Plan
Reading Timetables
A 60 minute lesson in which students will read and interpret timetables and calculate elapsed time.
- Plus Plan
Adding and Subtracting Related Fractions
A 60 minute lesson in which students will add and subtract fractions with related denominators.
- Plus Plan
Fraction, Decimal and Percentage Equivalence
A 60 minute lesson in which students will make connections between equivalent fractions, decimals and percentages.
- Plus Plan
Multiplying and Dividing by Powers of 10
A 60 minute lesson in which students will multiply and divide decimals by powers of 10.