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
Maths Brain Teasers Task Cards
Spark critical thinking with maths brain teasers embedded in real-world scenarios to engage and challenge your upper primary students.
- Free Plan
Metric Measurement Conversion Worksheet Set
Utilise our metric measurement conversion worksheet set to give your students practise converting units of metric length, mass and capacity.
- 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.
- Free Plan
Converting Length Worksheets
Download our converting length worksheets to allow your students to demonstrate an understanding of decimal representations while converting units of metric length.
- Plus Plan
Decimal Exit Tickets (Place Value, Rounding, Ordering and Computation)
Assess student understanding of decimal place value, rounding, ordering and computation with this set of 21 exit tickets.
- Plus Plan
Cartesian Plane Coordinates Matching Activity
Practise identifying coordinates and describing the process for graphing with a year 6 matching activity.
- 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
BODMAS Classroom Poster
Hang this BODMAS poster in the classroom to guide students through the order of operations.
- Free Plan
Integers Polygon Puzzle
A puzzle using positive and negative numbers in number sentences.
- Plus Plan
Reading and Interpreting Timetables Worksheets
Five pages of worksheets that allow students to work on reading and interpreting timetables.
- 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
Order of Operations – Maths Maze
Evaluate numerical expressions using the order of operations with this math maze!
- Free Plan
Chance and Data Maths Investigation - Roll Me a Six!
A mathematics investigation involving chance and data, embedded in a real-world context.
- Plus Plan
Adding and Subtracting Fractions Worksheets
Use these adding and subtracting fractions worksheets to enable your students to practise this important skill.
- Plus Plan
Converting Units of Measurement Posters
Use these posters to assist your students to learn and convert the different units of measurement.
- Plus Plan
The Escape From Millbrook Manor – Whole Class Escape Game
Practise computation skills by solving puzzles with this differentiated Halloween escape room game.
- Plus Plan
Comparing Integers – Maths Mazes
Compare positive and negative numbers while you work your way through this set of maths mazes.
- Plus Plan
Area and Perimeter Paddock Problems – Worksheets
Use these worksheets when working on finding the area and perimeter of shapes using familiar metric units.
- Plus Plan
Interpreting Data Year 6 Escape Room
Play our interpreting data year 6 escape room to give your students engaging practise identifying and correcting misleading data displays.
- Plus Plan
Cartesian Planes Worksheets — Plotting and Perimeter
Provide your students with these Cartesian planes worksheets to help them master plotting and perimeter on the Cartesian plane.
- 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.
- Plus Plan
Decimals and Percentages Maths Investigation – Plan a Party!
Get your students connecting their maths knowledge to the real world with this decimals and percentages party planning project.
- Plus Plan
Metric Measurement Conversion Lesson - Teaching Slides
Teach your students conversions of length with our metric measurement conversion lesson that is easy to download and use!
- Plus Plan
Algebra Questions Year 6 Worksheet Set
Share these algebra questions year 6 worksheets with your students to level up their skills in identifying number patterns and following the order of operations.
- Plus Plan
Converting Units of Length - Interactive Slides Activity
Make converting lengths of measurement a breeze with a Measurement Conversion Digital Learning Activity.
- 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.
- Plus Plan
Describe That Decimal Worksheet
Explore the place value of decimals with this versatile one-page printable worksheet.
- Plus Plan
Input Output Games - 'The Cupcake Catastrophe' Escape Room
Play input output games like this ‘Cupcake Catastrophe’ escape room to put the 'FUN' in functions!
- Free Plan
Multiplying with Decimals – Differentiated Worksheets
Strengthen computation skills with this set of decimal multiplication worksheets.
- Plus Plan
Adding and Subtracting Integers - Tarsia Puzzle
Practise adding and subtracting integers with a printable Tarsia puzzle!
- Free Plan
Adding, Subtracting, Multiplying and Dividing Fractions Posters
Display these fractions posters in your classroom to remind your students how to perform operations with like and unlike fractions.
- Plus Plan
Misleading Statistics Teaching Slides
Use our misleading statistics teaching slides to increase statistical literacy and teach your students how to look at data displays with a critical eye.