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
Multi-Step Word Problem Cards (Division and Multiplication) - Year 5-6
Solve multi-step multiplication and long division word problems with a set of printable maths task cards.
- Plus Plan
Area and Perimeter Paddock Problems – Worksheets
A set of differentiated area and perimeter worksheets.
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Reading and Interpreting Timetables Worksheets
Five pages of worksheets that allow students to work on reading and interpreting timetables.
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Area Worksheets
4 area worksheets.
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Adding and Subtracting Like Fractions Word Problems Worksheets
Download these adding and subtracting fractions with like denominators word problems to provide your students with practice in this valuable maths skill.
- Plus Plan
Year 6 Mental Maths Drills Workbook
Incorporate this mental maths drills booklet into your maths lesson warm-up routine.
- Free Plan
Blank Number Lines - Printable
Print a set of open number lines to help you teach a variety of maths skills.
- Plus Plan
Adding Fractions With Like Denominators Worksheets
Download this set of adding fractions with like denominators worksheets to help your students practise this important maths skill.
- Free Plan
Order of Operations Dice Game
A set of 6 order of operations dice activity mats.
- Plus Plan
Types of Angles Poster Pack
Remind your students about the most common types of angles with this set of six classroom posters.
- Plus Plan
Converting Units of Length – Worksheet
Connect decimal representation while converting units of length with this worksheet.
- Plus Plan
Multi-Digit Multiplication Strategies Poster Pack
Teach your students about different multi-digit multiplication methods with this set of maths posters.
- Plus Plan
Adding Fractions With Like Denominators Teaching Slides
Teach your students how to add fractions with like denominators using a variety of strategies with this comprehensive slide deck.
- Plus Plan
Converting Units of Mass – Worksheet
Convert units of mass including those with decimal representation using this worksheet.
- Plus Plan
Measuring Angles in Images Worksheets
Get your students using their protractors to measure acute, obtuse, right, straight and reflex angles with this set of differentiated angles worksheets.
- Plus Plan
Order of Operations – Maths Maze
Evaluate numerical expressions using the order of operations with this math maze!
- 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
Calculating Missing Angles Interactive Activity
Get your students to find missing angles with this interactive game perfect for Year 6 maths lessons.
- Plus Plan
Decimal Number Patterns – Differentiated Worksheets
Practise determining a pattern and next value in a numerical sequence of decimals to the hundredths place.
- 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
Identifying Prime and Composite Numbers – Worksheet
Use understanding of factors to identify composite and prime numbers with this worksheet.
- Plus Plan
Drawing and Constructing 3D Objects – Interactive Activity
Construct digital and physical nets of some common 3D objects with this hands-on digital learning activity.
- Free Plan
Converting Units of Capacity Worksheet
A worksheet that focuses on converting units of capacity.
- Plus Plan
Capacity Vs Volume Poster
A poster explaining the difference between capacity and volume.
- Free Plan
Multiplying with Decimals – Differentiated Worksheets
Strengthen computation skills with this set of decimal multiplication worksheets.
- Plus Plan
Order of Operations – Interactive Activity
Solve expressions by using the order of operations with this interactive activity.
- Plus Plan
Finding Volume – Differentiated Worksheets
Practise finding the volume of rectangular prisms and cubes with this set of differentiated worksheets.
- Plus Plan
Soccer-Themed Maths Problem Solving Worksheets
Practise multiplication, division and problem solving skills with a high-interest soccer-themed scenario activity.
- Plus Plan
Number Talks — Order of Operations Task Cards
Build number sense skills with this set of 20 task cards.
- Plus Plan
Advanced Angles Teaching Slides
Teach your students about advanced angle types with this teaching presentation perfect for upper primary school maths lessons.
- Plus Plan
Adding and Subtracting Decimals Word Problems Worksheet
Practise solving word problems by adding and subtracting decimals to the thousandths place with this worksheet.
- Free Plan
Fractions Number Line - Halves, Fifths and Tenths
Demonstrate the concept of fractions on a number line with a printable number line display and student reference sheets.