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Addition and subtraction of fractions

Here are some tips for adding and subtracting fractions. See how to ensure the denominators match. You'll use your knowledge of equivalent fractions too. Remember to write your answers in the simplest form.

Tablet friendly (Interactive resource)

Cassowary ecology quiz

Explore facts about the life of cassowaries: physical characteristics; diet; habitat; life cycles; and locations. Interact with graphs to see how much people can help cassowaries. Work through ecology notes and resources. Answer questions as you go; express your answers as fractions. This learning object is one in a series ...

Interactive resource

Design a park

Help a town planner to design a site plan for a park. Assign regions on a grid for different uses such as picnic tables, swings, sandpits or ponds. Use this tool to explore how to express fractions and display them in different ways. Select boxes within the grid and view or enter corresponding fractions and their equivalents. ...

Interactive resource

Design your own park

Help a town planner to design a site plan for a park. Set the site dimensions to make a grid. Assign regions on the grid for different uses such as picnic tables, swings, sandpits or ponds. Use this tool to explore how to express fractions and display them in different ways. Select boxes within the grid and view or enter ...

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 a city

Help a town planner to design a site plan for a city. Using a 10x20 grid, design areas for two regions (schools and terraces) 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 and decimals for the percentages ...

Interactive resource

Design a farm

Help a town planner to design a site plan for a farm. Using a 10x20 grid, design areas for two regions (orchards and houses) based on the decimals given. Assign the area for an additional six regions, using decimals of your choice. Observe the number line displaying equivalent fractions and percentages for the decimals ...

Interactive resource

Neighbourhood fractions

Help a town planner to design site plans. Assign regions on a 10x20 grid for different uses. Calculate the percentage and the fraction of the total site used for each region. Use a number line to display fractions and equivalent decimals. Design site plans for a: 1. Neighbourhood; 2. City; 3. Farm. This learning object ...

Interactive resource

Park fractions

Help a town planner to design two site plans for a park. Assign regions on a grid for different uses such as picnic tables, swings, sandpits or ponds. Use this tool to explore how to express fractions and display them in different ways. Select boxes within the grid and view or enter corresponding fractions and their equivalents. ...

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

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 ...

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

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)

Cassowary fractions

Help a park ranger to arrange fencing in a wildlife sanctuary. Divide common geometric shapes into equal-sized sections for keeping cassowaries. Group the enclosures to form a quarantine zone for sick or injured birds. Then express the divisions of the enclosures as fractions. This learning object is one in a series of ...

Interactive resource

The foul food maker: go figure

This tutorial is suitable for use with a screen reader. It explains how the use of simple words can describe the likelihood of everyday events. How likely is an event: certain, likely, equal chance, unlikely or certainly not? Answer some questions using these words and then build your own examples. Learn how to describe ...

Interactive resource

Spinners: match up

Predict the results of testing coloured spinners (dials with pointers). Choose two spinners that are likely to generate similar results. For example, choose a four-part spinner with two blue sectors and two yellow sectors. Match it with an equivalent spinner divided into blue and yellow halves. Test the pair of spinners ...

Tablet friendly (Interactive resource)

Fraction fiddle: matching cake fractions

Fill orders in a cake shop. Match a fraction to parts of a cake. For example, identify the fraction of a cake remaining after it has had one quarter removed. Check your prediction by making the fraction and seeing what it looks like as part of a circle. Watch the circle change as you adjust the numerals in the numerator ...

Interactive resource

Fraction fiddle: comparing unit fractions

Two kiwis each gobble up part of a worm. Identify which bird ate the most. For example, decide whether one-third (1/3) is larger than one-quarter (1/4). Build the fraction that each bird ate. Compare the fractions on a number line. Check which fraction is bigger. This learning object is one in a series of seven objects.

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

Fraction fiddle: reach the target

Help a boy to hit a bullseye with his paper plane. Build two fractions that add up to a target number up to two. Complete the numerators of both fractions (one may have a fixed denominator). For example, work out how many thirds and how many sixths can be added together to total 4/3. Look at fraction bars and a number line ...