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
Find the Whole From a Percent — Year 6 Maths Mazes
Print a set of 3 maths mazes for year 6 to practise solving percentage problems.
- 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
Percent of a Number Match-Up Activity
Practise how to find the percent of a number with this match-up activity.
- Plus Plan
3D Object Halloween Character Templates
Build some spooky Halloween characters with this set of five 3-D net templates.
- 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
Number Talks – Decimal Operations Task Cards
Explore decimal operations with your students using this set of 26 number talk task cards.
- Plus Plan
Multiplication Facts PowerPoint - Fourteen Times Tables
A 30 slide PowerPoint to use when learning about multiplication.
- Plus Plan
Multiplication Facts PowerPoint - Thirteen 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
Time Teaching Resource Pack
A collection of resources exploring time concepts.
- Plus Plan
Fractions Resource Pack
A collection of resources exploring fractions.
- Plus Plan
Reading Timetables
A 60 minute lesson in which students will read and interpret timetables and calculate elapsed time.
- Plus Plan
Applications of Time Unit Plan - Year 5 and Year 6
This Mathematics unit addresses the concepts of 12- and 24-hour time, timetables and timelines.
- Plus Plan
Developing Timetables
A 60 minute lesson in which students will develop a timetable of daily activities.
- Plus Plan
Applications of Time Assessment - Year 5 and Year 6
- Plus Plan
12- and 24-Hour Time
A 60 minute lesson in which students will understand the relationship between 12- and 24-hour time systems.
- Plus Plan
The Missing Mona Lisa – Chapter 6: Evidence and Opportunity
The Adventure Agents will begin bringing all the information from the witnesses and evidence together to start forming a picture of what happened on the night the Mona Lisa was stolen.