Australian Curriculum Categories

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)

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)

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resources for those 'aha' moments

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### Maths Mazes (Equivalent Fractions, Decimals and Percentages)

Determine equivalent fractions, decimals and percentages in this puzzling maths maze.

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### Save Santa's Workshop – Whole Class Escape Game

A fun and festive escape room game where students solve clues to save Santa's Workshop.

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### The Escape From Millbrook Manor – Whole Class Escape Game

An exciting escape room game where students use their maths skills to escape Millbrook Manor.

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### Maths Mazes (Factors)

A set of maths mazes that allow students to demonstrate their knowledge of factors.

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### 3D Objects – Interactive PowerPoint Presentation

An interactive PowerPoint presentation that teaches the features of 3D Objects.

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### 3D Objects Maths Investigation - Make Me a Radical Robot!

A mathematics investigation about 3D objects, embedded in a real-world context.

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### Chance and Data Maths Investigation - Roll Me a Six!

A mathematics investigation involving chance and data, embedded in a real-world context.

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### Factor Trees – Worksheet

A worksheet with factor trees that are used to find the prime factors of numbers.

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### Fractions, Decimals and Percentages Polygon Puzzle

A puzzle using fractions, decimals and percentages.

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### Volume and Capacity Maths Investigation – Splash World

A mathematics investigation about volume and capacity, embedded in a real-world context.

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### Fractions of Whole Numbers – Worksheet

A set of differentiated worksheets that focus on finding simple fractions of quantities.

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### Area and Perimeter Paddock Problems – Worksheets

A set of differentiated area and perimeter worksheets.

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### Time Assessment - Year 5 and Year 6

A three-page assessment, covering various time concepts.

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### Converting Units of Measurement Posters

Use these posters to assist your students to learn and convert the different units of measurement.

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### The Mathematical Easter Egg Hunt – Whole Class Game

A differentiated whole class Easter egg hunt.

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### Multiplying and Dividing By 1000 Poster

A poster to display in the classroom when multiplying and dividing by 1000.

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### Complex Dot-to-dot – Prime Numbers (Gymnast) – Worksheet

A complex dot-to-dot where students demonstrate their knowledge of prime numbers.

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### Complex Dot-to-dot – Square Numbers (Skateboarder) – Worksheet

A complex dot-to-dot where students order square numbers.

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### Complex Dot-to-dot – Fractions and Decimals (Cat) – Worksheet

A complex dot-to-dot where students demonstrate order fractions and decimals.

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### Measurement Conversion Scoot Game

A set of 24 measurement conversion task cards to use as a whole class scoot activity.

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### Year 6 Numeracy Exit Tickets – Worksheets

23 Numeracy Exit Ticket activities for students to provide evidence of their learning progress.

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### Maths Warm Ups PowerPoint - Year 6

A PowerPoint providing a series of warm up activities for Year 6 students across the curriculum.

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### Mini-Mystery – Who Won the Race?

A fun, logic-based activity where students read clues to solve the mystery.

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### Class Carnival – Probability STEM Challenges

A set of four carnival-themed STEM challenges where students create fun games that incorporate probability.

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### Connecting Volume and Capacity Posters

A set of three posters to help with connecting and converting units of volume and capacity.

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### Converting Units of Capacity Worksheet

A worksheet that focuses on converting units of capacity.

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### Blank Number Lines Worksheet - Landscape

A blank number line worksheet for number and algebra work.

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### Blank Number Lines Worksheet - Portrait

A blank number line worksheet for number and algebra work.

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### Money and Finances Maths Investigation – Pop–Up Shop on Wheels

A project where students use their mathematic skills to plan a fundraiser for a charity of choice.

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### 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.