# Year 5

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 making connections between representations of numbers, using fractions to represent probabilities, comparing and ordering fractions and decimals and representing them in various ways, describing transformations and identifying line and rotational symmetry**fluency**includes choosing appropriate units of measurement for calculation of perimeter and area, using estimation to check the reasonableness of answers to calculations and using instruments to measure angles**problem-solving**includes formulating and solving authentic problems using whole numbers and measurements and creating financial plans**reasoning**includes investigating strategies to perform calculations efficiently, continuing patterns involving fractions and decimals, interpreting results of chance experiments, posing appropriate questions for data investigations and interpreting data sets.

(source: www.australiancurriculum.edu.au)

## Achievement Standard

By the end of Year 5, students solve simple problems involving the four operations using a range of strategies. They check the reasonableness of answers using estimation and rounding. Students identify and describe factors and multiples. They identify and explain strategies for finding unknown quantities in number sentences involving the four operations. They explain plans for simple budgets. Students connect three-dimensional objects with their two-dimensional representations. They describe transformations of two-dimensional shapes and identify line and rotational symmetry. Students interpret different data sets.

Students order decimals and unit fractions and locate them on number lines. They add and subtract fractions with the same denominator. Students continue patterns by adding and subtracting fractions and decimals. They use appropriate units of measurement for length, area, volume, capacity and mass, and calculate perimeter and area of rectangles. They convert between 12- and 24-hour time. Students use a grid reference system to locate landmarks. They measure and construct different angles. Students list outcomes of chance experiments with equally likely outcomes and assign probabilities between 0 and 1. Students pose questions to gather data, and construct data displays appropriate for the data.

(source: www.australiancurriculum.edu.au)

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### Nets of 3D Objects

Create a variety of 3D shapes with this comprehensive set of net templates.

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### Identifying Angles PowerPoint

A 22 slide editable PowerPoint template to use when identifying angles.

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### Area and Perimeter Paddock Problems – Worksheets

A set of differentiated area and perimeter worksheets.

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### Multiplication and Division Word Problems Task Cards (2-Digit by 1-Digit)

Use a range of strategies to solve 2-digit by 1-digit multiplication and division problems that exceed the facts of the 12 times tables.

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### Fractions on a Number Line Worksheets

Represent fractions greater than zero and less than or equal to one with a pack of fraction number line worksheets.

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### Appropriate Units of Measurement – Worksheet

A worksheet that allows students to choose appropriate units of measurement.

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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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### Printable Maths Mats - Graphic Organisers

Practice working on specific math concepts with our set of 5 printable math graphic organisers.

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### 3D Objects – Interactive PowerPoint Presentation

Explore the names and properties of a range of three-dimensional objects with this comprehensive interactive PowerPoint presentation.

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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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### Year 5 Mental Maths Drills Workbook

Get the mental strategies flowing with this ten-page mental maths booklet covering the four operations.

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### Finding Volume – Differentiated Worksheets

Practise finding the volume of rectangular prisms and cubes with this set of differentiated worksheets.

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### Multiplication Chart

A chart that plots the times tables 1–12 formatted as a grid.

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### Perimeter Worksheets

Worksheets to help consolidate your students' understanding of perimeter.

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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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### Area and Perimeter Word Problems

A collection of 13 area and perimeter word problems with answers.

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### Introduction to Area PowerPoint

A 24-slide editable PowerPoint template to use when introducing the concept of area.

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### Compass Directions Worksheet

A worksheet to use when exploring grids, grid references and direction.

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### Year 5 Numeracy Exit Tickets – Worksheets

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

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### 2D Shapes - Interactive PowerPoint Presentation

An interactive PowerPoint presentation that teaches the features of 2D shapes.

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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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### 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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### Converting Time Worksheet

A one-page worksheet with answers to consolidate students' understanding of time conversions.

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### Adding Fractions with Common Denominators Worksheet

A worksheet using fractions with common denominators.

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### How Much Does It Measure? Interactive PowerPoint

A 20-question interactive quiz to reinforce a range of measurement concepts.

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### Daily Maths Word Problems - Year 5

A set of 20 problem solving questions suited to year 5 students.

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### Fractions on a Number Line - Instructional Deck

Teach your students how to identify and work with fractions on a number line with an interactive, explicit instructional teaching presentation.

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### Number Talks - Perimeter and Area Task Cards

Build number sense skills with this set of 28 task cards.

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### Tangram Treats – Task Cards and Templates

Explore the properties of geometric shapes with this set of scaffolded tangram shapes task cards and cut-out tangram templates.

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### 3D Objects and Their Nets - Worksheet

Connect 3D objects with their nets and other 2D representations with this differentiated worksheet.

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### 3D Objects and Nets - Interactive Activity

Explore the connection between 3D objects and their nets with this engaging digital activity.