# 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
### Year 6 Fractions, Decimals and Percentages Worksheets

Use these fractions, decimals and percentages worksheets in your Year 6 classroom for independent practice or as an assessment activity.

- Free Plan
### Nets of 3D Objects

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

- Plus Plan
### Multi-Step Word Problem Cards (Division and Multiplication) - Year 5-6

Solve multi-step multiplication and long division word problems with a set of printable maths task cards.

- Plus Plan
### Area and Perimeter Paddock Problems – Worksheets

A set of differentiated area and perimeter worksheets.

- Free Plan
### Blank Number Lines - Printable

Print a set of open number lines to help you teach a variety of maths skills.

- Plus Plan
### Types of Angles Poster Pack

Remind your students about the most common types of angles with this set of six classroom posters.

- Plus Plan
### Adding and Subtracting Fractions Worksheets

Use these adding and subtracting fractions worksheets to enable your students to practise this important skill.

- Plus Plan
### Converting Units of Length – Worksheets

Demonstrate an understanding of decimal representations while converting metric units of length with printable measurement conversion worksheets.

- Plus Plan
### Adding and Subtracting Like Fractions Puzzle Pack

Get your students adding and subtracting fractions with like denominators with this set of nine fraction puzzles!

- Free Plan
### Adding, Subtracting, Multiplying and Dividing Fractions Posters

Display these fractions posters in your classroom to remind your students how to perform operations with like and unlike fractions.

- Plus Plan
### Converting Units of Length - Interactive Slides Activity

Make converting lengths of measurement a breeze with a Measurement Conversion Digital Learning Activity.

- Plus Plan
### Converting Units of Measurement Posters

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

- Plus Plan
### Area Worksheets

4 area worksheets.

- Plus Plan
### Location and Transformation Worksheets - Year 6

4 location and transformation worksheets linked to the Australian Curriculum.

- Plus Plan
### Reading and Interpreting Timetables Worksheets

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

- Plus Plan
### Decimals and Percentages Maths Investigation – Plan a Party!

Get your students connecting their maths knowledge to the real world with this decimals and percentages party planning project.

- Plus Plan
### Converting Units of Mass – Worksheet

Convert units of mass including those with decimal representation using this worksheet.

- Plus Plan
### Operations with Decimals Teaching Slides

Teach your students how to add, subtract, multiply and divide using decimal numbers with this comprehensive teaching presentation perfect for upper primary maths lessons.

- Plus Plan
### Missing Angles – Year 6 Maths Worksheet

Download this missing angles worksheet to get your students calculating missing angles on right and straight angles.

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

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

- Plus Plan
### Adding and Subtracting Fractions Maths Investigation — Renovate with a Rug!

Immerse your students in all things fractions with this maths project based around a real-world scenario.

- Plus Plan
### Year 6 Mental Maths Drills Workbook

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

- Plus Plan
### Capacity Vs Volume Poster

A poster explaining the difference between capacity and volume.

- Plus Plan
### Grocery Percentages – Year 6 Maths Worksheet

Use percentages to calculate discounts with this maths worksheet designed for students in years 6 and 7.

- Free Plan
### Converting Units of Capacity Worksheet

A worksheet that focuses on converting units of capacity.

- Free Plan
### Word Problem Worksheet - Money

Money word problem worksheet with answers.

- Plus Plan
### Pandora's Party Palace Maths Activity – Upper Years

Sixteen mathematics problem-solving task cards involving money in a real-world context.

- Plus Plan
### Know Your Measurement Conversions Trivia Game

Practise measurement conversions involving time, length, capacity, and volume with an exciting Know Your Measurement! Trivia Game!

- Free Plan
### Angles at a Point – Year 6 Maths Worksheet

Identify and calculate angles at a point with this one-page maths worksheet.

- Plus Plan
### Mixed Number - Fraction Model Match-Up

Practice matching improper fractions, mixed numbers, bar models, and fraction number lines with this set of 36 match-up cards.

- Plus Plan
### Adding Fractions With Like Denominators Worksheets

Download this set of adding fractions with like denominators worksheets to help your students practise this important maths skill.

- Free Plan
### Fraction, Decimal and Percentage Bingo

Convert between fractions, decimals and percentages with this engaging Bingo game the whole class can enjoy!