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
Probability Experiments — Mystery Bucket Challenge
Conduct probability experiments like our ‘Mystery Bucket Challenge’ to give your students hands-on experience with concepts of chance.
- Plus Plan
Function Machine Matching Game
Match input/output tables to their rules in this function machine game with an engaging robot theme.
- Plus Plan
Converting Mass Worksheet Set
Download this converting mass worksheet set to give your students the practice they need to master conversions of metric mass.
- 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
Cartesian Plane Worksheet Set (Real-World Scenarios)
Differentiate with our Cartesian plane worksheet set full of real-world maths scenarios.
- Plus Plan
Comparing and Ordering Integers Worksheet Set
Integrate this comparing and ordering integers worksheet set into your unit on positive and negative numbers.
- Plus Plan
Cartesian Plane Games — "Roll and Graph"
Play our Cartesian plane games in your classroom to enhance students’ ability to plot points and find the distance between them.
- Free Plan
Ordering Integers Activity — Task Cards
Introduce this ordering integers activity to your students to give them experience ordering positive and negative numbers.
- 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
Animal Shelter Operations - Metric Conversion Maths Task
Bring metric conversions into the real world with an engaging Animal Shelter Metric Conversions Maths Task.
- Plus Plan
Riddle Me! Converting Units of Length – Worksheet
Sharpen measurement conversion skills with a set of 3 Maths riddle worksheets.
- Plus Plan
Converting Units of Length - Maths Mazes
Strengthen measurement conversion skills while converting units of length with this set of maths mazes.
- 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
Mixed Operations - Length Word Problems Worksheets
Solve multi-step length word problems with a printable pack of 3-act Maths Word Problem Worksheets.
- Plus Plan
Order of Operations Quiz - Year 6
Assess your students' ability to write and evaluate numerical expressions by using the order of operations with this Year 6 maths assessment.
- Plus Plan
Subtracting Fractions With Like Denominators Interactive Maze
Get your students to subtract like fractions to find their way out of a space-themed digital maze!
- 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
Dividing Decimals Maths Mazes
Review how to divide a decimal by a decimal and a whole number with this set of maths mazes.
- 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
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
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
Dot Day Colour By Number Printable - Upper Years
Integrate Dot Day concepts into your maths lessons with printable Dot Day Multiplication and Division colour-by-number worksheets.
- Plus Plan
Rounding Decimals Worksheet Set
Practise rounding numbers to the nearest whole, tenth, hundredth and thousandth with this worksheet set.
- Plus Plan
Angle Word Problems – Worksheet
Download these angles word problem worksheets so your students can practise calculating missing angles.
- Plus Plan
Building With Angles – Interactive Game
Transport your students to a local construction site to solve building-related angle problems with this interactive maths game.
- Plus Plan
Graphing on the Cartesian Plane Teaching Slides
Teach your students how to plot points on a graph using ordered pairs from input-output tables with this set of teaching slides.
- 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
Understanding Positive and Negative Numbers – Worksheet
Explore positive and negative numbers by plotting integers on a number line and identifying opposites with this worksheet.
- Plus Plan
Comparing Integers – Maths Mazes
Compare positive and negative numbers while you work your way through this set of maths mazes.
- 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
Long Division Worksheet
Practising solving long division problems with this computation worksheet.