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
Order of Operations – Maths Maze
Evaluate numerical expressions using the order of operations with this math maze!
- Free Plan
Angles at a Point – Year 6 Maths Worksheet
Identify and calculate angles at a point with this one-page maths worksheet.
- Free Plan
Fraction, Decimal and Percentage Bingo
Convert between fractions, decimals and percentages with this engaging Bingo game the whole class can enjoy!
- Plus Plan
Subtracting Fractions With Like Denominators Worksheets
Download this set of subtracting fractions with like denominators worksheets to help your students practise this important maths skill.
- Plus Plan
Adding and Subtracting Fractions Board Game
Use this adding and subtracting fractions game as a fun alternative to worksheets.
- Plus Plan
Printable Maths Mats - Graphic Organisers
Practice working on specific math concepts with our set of 5 printable math graphic organisers.
- Plus Plan
Money and Financial Mathematics - Upper Years Interactive PowerPoint
An engaging 44 slide interactive PowerPoint to use in the Upper Years classroom when learning about money and financial mathematics
- 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
Operations with Decimals Teaching Slides
Teach your students how to add, subtract, multiply and divide using decimal numbers with this comprehensive teaching presentation perfect for upper primary maths lessons.
- Plus Plan
Calculating Missing Angles Interactive Activity
Get your students to find missing angles with this interactive game perfect for Year 6 maths lessons.
- 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
Decimal Number Patterns – Differentiated Worksheets
Practise determining a pattern and next value in a numerical sequence of decimals to the hundredths place.
- Plus Plan
Percentages, Fractions, Decimals Worksheet
A worksheet connecting percentage, decimal and fraction values.
- Free Plan
Multiplying with Decimals – Differentiated Worksheets
Strengthen computation skills with this set of decimal multiplication worksheets.
- 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
Order of Operations – Interactive Activity
Solve expressions by using the order of operations with this interactive activity.
- Free Plan
Connecting Volume and Capacity Posters
A set of three posters to help with connecting and converting units of volume and capacity.
- Plus Plan
Decimals and Percentages Assessment
Assess students' knowledge of various decimals and percentages concepts with this four-page worksheet.
- Plus Plan
Patterns and Algebra Worksheets - Year 6
4 patterns and algebra worksheets linked to the Australian Curriculum.
- Free Plan
Patterns in Place Value Worksheet
Use this place value worksheet to get your students analysing decimal place value in numbers.
- Plus Plan
Location and Transformation Worksheets - Year 6
4 location and transformation worksheets linked to the Australian Curriculum.
- Plus Plan
Adding and Subtracting Decimals – Word Problem Task Cards
Have students solve decimal word problems with this set of 16 task cards, perfect for math centers.
- Plus Plan
Soccer-Themed Maths Problem Solving Worksheets
Practise multiplication, division and problem solving skills with a high-interest soccer-themed scenario activity.
- Free Plan
Multiplying Decimals – Word Problem Task Cards
Solve a variety of word problems by multiplying decimals with this set of 24 task cards.
- Plus Plan
Angle Word Problems – Worksheet
Download these angles word problem worksheets so your students can practise calculating missing angles.
- Plus Plan
Transformation Poster and Worksheets
A poster and worksheets to teach children about transformations.
- 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, Decimals and Percentages Polygon Puzzle
A puzzle using fractions, decimals and percentages.
- Plus Plan
Using Units of Measurement Worksheets - Year 6
10 using units of measurement worksheets linked to the Australian Curriculum.
- Plus Plan
Chance and Probability Upper Years PowerPoint
An engaging 30 slide interactive PowerPoint to use in the classroom when learning about chance and probability in the upper years.
- 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
The Solar System in Our Space — Mathematics Investigation
A mathematics investigation about number and the scale of the solar system, embedded in a real-world context.