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
Fraction, Percentage and Decimal Word Wall Vocabulary
Print your own fraction, percentage and decimal vocabulary for use on a maths word wall.
- Plus Plan
Find the Whole From a Percentage Worksheet
Practise how to find the whole from a percentage with this standard-practice 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
Cartesian Plane Coordinates Matching Activity
Practise identifying coordinates and describing the process for graphing with a year 6 matching activity.
- Plus Plan
Missing Angle Small Group Bingo
Practise how to find the measurement of a missing angle with this small group bingo game.
- Plus Plan
Missing Angle Task Cards
Practise how to find the measure of a missing angle with this set of 18 task cards.
- Plus Plan
Five Wonders Theme Park: Token Night – Project
A project in which students use stimulus posters to plan the best evening at Five Wonders Theme Park within a given budget and time frame.
- Plus Plan
Five Wonders Theme Park: Slither House Sketch – Project
An inquiry project that encourages students to research animals and their habitats and design a reptile house in a theme park.
- Plus Plan
Five Wonders Theme Park: Takeout Takeover – Project
A project for students to create a menu and food truck model for Five Wonders Theme Park based on the Frida's Fiesta menu.
- Plus Plan
Year 6 Numeracy Exit Tickets – Worksheets
23 Numeracy Exit Ticket activities for students to provide evidence of their learning progress.
- Plus Plan
Fractions, Decimals and Percentages Vocabulary Poster
A poster to help students learn the vocabulary associated with fractions, decimals and percentages.
- Plus Plan
Five Wonders Theme Park: Induction Booklet – Project
A project where students study the Five Wonders Theme Park stimulus poster to understand and use real world learning skills.
- 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
International Holiday at Five Wonders Theme Park – Inquiry Project
A inquiry project where students study the Five Wonders Theme Park stimulus poster while inquiring about an international city.
- Plus Plan
Number Talks - Integer Operations Task Cards
Build number sense skills with this set of 24 task cards.
- Plus Plan
Colossal Cinemas – Task Cards
54 activity task cards based on the Colossal Cinemas stimulus poster.
- Plus Plan
Number Talks – Decimal Operations Task Cards
Explore decimal operations with your students using this set of 26 number talk task cards.
- Plus Plan
Build Your Own Theme Park – Project
A project that gives students the opportunity to learn through building their own theme park.
- Plus Plan
Five Wonders Theme Park Stimulus – Task Cards
103 activity task cards based on the Five Wonders Theme Park stimulus posters.
- Plus Plan
Five Wonders Theme Park: Wonderful Expansion – Project
An engaging project that students can use to design their own additional theme for Five Wonders Theme Park.
- Plus Plan
Measurement Word Search with Solution
A fun word search to help your students learn measurement vocabulary.
- Plus Plan
Word Problem Worksheet - Number
Number word problem worksheet with answers.
- Plus Plan
Positive and Negative Integers Poster
A poster showing when to add and subtract positive and negative integers.
- Plus Plan
Multiplication Facts PowerPoint - Twelve Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Multiplication Facts PowerPoint - Eight Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Multiplication Facts PowerPoint - One Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Fraction, Percentage and Decimal Wheels
Explore equivalent fractions, decimals and percentages with this set of wheels perfect for hands-on learning.
- Plus Plan
Index Notation Worksheet — Tarsia Puzzle
Share this index notation worksheet with your students to give them practice evaluating exponential expressions in a fun puzzle format.
- Free Plan
Cartesian Plane Template Set
Download this Cartesian plane template set for use in your Cartesian planes or graphing unit.
- Plus Plan
Metric Measurement Conversions Dominoes
Play a game of measurement dominoes to help students practise converting metric measurements.
- Plus Plan
Subtracting Fractions With Like Denominators Task Cards
Get your students subtracting fractions with like denominators using this set of task cards focusing on a variety of strategies.
- Plus Plan
Adding Fractions With Like Denominators Task Cards
Get your students adding fractions with like denominators using this set of task cards focusing on a variety of strategies.