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Australian Curriculum V8

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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#### Area and Perimeter Paddock Problems – Worksheets

A set of differentiated area and perimeter worksheets.

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#### Word Problem Worksheets - Year 5 and Year 6

4 mixed operations word problem worksheets with answers.

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#### Reading and Interpreting Timetables Worksheets

Five pages of worksheets that allow students to work on reading and interpreting timetables.

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#### Maths Word Problem Cards (Division and Multiplication) - Upper Primary

Twenty division and multiplication word problem cards for upper primary.

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#### Types of Graphs Posters with Labels

6 posters showing the features and examples of picture graphs, pie charts, line graphs, bar graphs, column graphs and histograms.

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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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#### Year 6 Mental Maths Drills Workbook

Incorporate this mental maths drills booklet into your maths lesson warm-up routine.

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#### Data Representation and Interpretation Worksheets - Year 6

8 data representation and interpretation worksheets linked to the Australian Curriculum.

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#### Numeracy Working Mats

Numeracy working mats to explore place value, operations and fractions.

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#### Daily Maths Word Problems - Year 6 (Worksheets)

A set of 20 problem-solving questions suited to year 6 students.

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

A differentiated whole class Easter egg hunt.

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#### Adding and Subtracting Fractions Worksheets

Three worksheets to use when teaching your students how to add and subtract fractions.

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#### 3D Objects – Interactive PowerPoint Presentation

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

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#### Adding Fractions with Common Denominators Worksheet

A worksheet using fractions with common denominators.

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#### Identifying Prime and Composite Numbers – Worksheet

Use understanding of factors to identify composite and prime numbers with this worksheet.

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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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#### Understanding Positive and Negative Numbers – Worksheet

Explore positive and negative numbers by plotting integers on a number line and identifying opposites with this worksheet.

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#### Measure the Angles Worksheet - Dog

A picture of a dog with different types of angles for your students to identify.

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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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#### 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.

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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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#### Converting Units of Length – Worksheet

Connect decimal representation while converting units of length with this worksheet.

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#### Operations With Decimals PowerPoint

A 26 slide editable PowerPoint Template to use when teaching your students how to add, subtract, multiply and divide using decimal numbers.

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#### Interactive Maths Review – Activities for Years 5, 6 & 7

Review important maths concepts covered in years 5, 6 and 7 with a student-led interactive 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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#### Describe That Decimal Worksheet

A worksheet to deepen students' understanding of decimals.

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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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#### Maths Mazes (Factors)

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

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#### 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.

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#### Adding and Subtracting Fractions PowerPoint

A 17 slide editable PowerPoint Template to use when teaching your students how to add and subtract fractions.

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#### Blank Number Lines Worksheet - Portrait

A blank number line worksheet for number and algebra work.