Mathematics / Year 6 / Number and Algebra / Fractions and decimals

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Make connections between equivalent fractions, decimals and percentages (ACMNA131)

Elaborations
  • connecting fractions, decimals and percentages as different representations of the same number, moving fluently between representations and choosing the appropriate one for the problem being solved
General capabilities
  • Numeracy Numeracy
ScOT terms

Percentages,  Decimals,  Equivalent fractions

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Year level 5-6
Resource type
Learning area Mathematics
Interactive Resource

Sites2See – number for primary

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

Interactive resource

Design a neighbourhood

Help a town planner to design a site plan for a neighbourhood. Using a 10x20 grid, design areas for four regions (apartments, hospitals, sports fields and schools) based on the fractions, decimals or percentages given. Assign the area required for an additional two regions, using a percentage and a decimal of your choice. ...

Interactive resource

Design your own school

Help a town planner to design a site plan for a school. Using a 10x10 grid, design areas for two regions (playgrounds and classrooms) based on the percentages given. Assign the area for an additional six regions, using percentages of your choice. Observe the number line displaying equivalent fractions for the percentages ...

Teacher resource

Connecting fractions, decimals and percentages

This is a website designed for both teachers and students that addresses the connections between fractions, decimals and percentages from the Australian Curriculum for year 6 students. It contains material on the relationship between fractions, decimals and percentages and helps students understand that although there are ...

Teacher resource

Percentage discounts

This is a website designed for both teachers and students that refers to making connections between percentages, decimals and fractions, as well as calculating percentages and percentage discounts from the Australian Curriculum for year 6 students. It contains material on calculating percentages of an amount and calculating ...

Teacher resource

MoneySmart: It's raining cats and dogs...

This is a year 6 mathematics unit of work about keeping pets. The unit is intended to take about 12 hours of teaching and learning time, and is recommended for near the end of the school year. It consists of an introduction, seven sets of student activities, and teacher notes. The student activities include building a word ...

Teacher resource

reSolve: Reconciliation data

This lesson prompts students to examine data from the Reconciliation Barometer report, collect their own local data and compare with the national findings. Students discuss the meaning of reconciliation, explore statements from Reconciliation Barometer report, design a survey to collect local data relating to the statements ...

Interactive Resource

Virtual manipulatives - iTunes app

Explore the relationship between equivalent fractions, decimals and percentages. This resource has great application for use on an interactive whitebaord or at home as a family maths focus. Annotate and save your work to your device. Free when reviewed on 12/5/2015.

Tablet friendly (Interactive resource)

Playground percentages

Help a town planner to design two site plans for a school. Assign regions on a 10x10 grid for different uses such as a playground, canteen, car park or lawn. Calculate the percentage of the total site used for each region. Use a number line to display fractions and equivalent fractions.

Interactive resource

Wishball: thousandths

Test your understanding of decimal place value with numbers that include thousandths. Receive a starting number, such as 3.569, and work towards turning it into a target number, such as 7.832. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. ...

Interactive resource

School canteen: best buy: level 1

Buy supplies online for a school canteen. Purchase given amounts of items such as bottles of orange juice and boxes of sultanas. Notice that the unit prices are different for packs of different sizes. Perform basic calculations to work out how many packs you will need, and which available pack size will be the cheapest. ...

Interactive resource

Dynamic fractions

Use a tool to explore how to express fractions and display them in different ways. Create a grid with a number of rectangles ranging from 1 to 100 (up to a 10x10 array). Select boxes within the grid and view or enter corresponding fractions and their equivalents. Interact with a dynamic number line to express fractions ...

Tablet friendly (Interactive resource)

Wishball: hundredths

Test your understanding of decimal place value with numbers that include hundredths. Receive a starting number, such as 46.87, and work towards turning it into a target number, such as 85.32. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. ...

Interactive resource

Fraction fiddle: shoot the hoop

Help a girl to throw her ball through a hoop. Build two fractions to make a total of one whole. Complete the denominator of a fraction (at least one fraction may have a fixed numerator). For example, work out how many tenths can be added to three-fifths to total one whole. Look at fraction bars and a number line to compare ...

Interactive resource

Wishball: tournament

Challenge your understanding of place value in whole numbers and decimal fractions, from 0.001 to 9999. Either add or subtract numbers to reach a target number. For example, receive a starting number of 39.61. Spin the number 5 and decide whether to add or subtract 0.05, 0.5, 5 or 50 to reach your target number of 70.12 ...

Interactive resource

School canteen: estimate and check: level 1

Buy supplies online for a school canteen. Purchase given amounts of items such as bottles of orange juice and boxes of sultanas. Notice that unit prices vary depending on the multiples in which items are sold. Look at the shopping list and check the prices and package sizes from the price catalogues of two traders. Estimate ...

Interactive resource

School canteen: two traders: level 1

Buy supplies online for a school canteen. Purchase given amounts of items such as bottles of orange juice and cheese sticks. For each item on the shopping list, check the prices and package sizes of two traders. Perform basic calculations to select the cheaper deal for each item. Compare the total cost of the items from ...

Interactive resource

Design a school

Help a town planner to design a site plan for a school. Using a 10x10 grid, design areas for four regions (library, car park, lawn and canteen) based on the percentages given. Assign the area for an additional two regions, using percentages of your choice. Use a number line to indicate the equivalent fractions for two regions. ...

Interactive resource

Wishball challenge: ultimate

Test your understanding of decimal place value with whole numbers or numbers that include tenths, hundredths or thousandths. Receive a starting number, such as 3569, 356.9, 35.69 or 3.569, and work towards turning it into a target number, such as 7832, 783.2, 78.32 or 7.832. Spin a random digit, choose its decimal place ...

Interactive resource

Hopper challenge: ultimate

Help a frog to jump along a number line. Estimate the exact finishing point on a number line, after adding or subtracting multiples of tenths or whole numbers to a starting number. For example, 29.5+(12 x 0.2) = 31.9. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern ...