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

Curriculum content descriptions

Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies (ACMNA127)

Elaborations
• recognising that finding one third of a quantity is the same as dividing by 3
General capabilities
• Numeracy Numeracy
• ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Simple fractions,  Multiplication

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Year level 5-6
Resource type
Learning area Mathematics

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### Sites2See – number for primary

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

### Fractions

This is a website designed for both teachers and students that addresses components of the arithmetic of fractions. It is particularly relevant for comparison and addition and subtraction of fractions with related denominators. It also contains material on finding a fraction of a quantity where the result is a whole number. ...

### Fraction of a quantity

This is a five-page HTML resource about solving problems involving fractions of a quantity. It contains seven questions, four of which are interactive. The resource discusses and explains solving problems concerning fractions of a quantity to reinforce students' understanding.

### Fraction fiddle: tool

Use a tool to explore what happens when you change the numerals in a fraction. Compare two fractions and find out which is larger. For example, decide whether 4/3 is larger than 7/5. Build the two fractions. Compare the fractions on a number line. A handy tool for use on an interactive whiteboard.

### 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 ...

### 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. ...

### 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 ...

### 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.

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 ...

### The divider: whole number remainders

Solve whole number division problems such as 157/6. Use a partitioning tool to help solve randomly generated division problems. Learn strategies to do complex arithmetic in your head. Split a division problem into parts that are easy to work with. This learning object is one in a series of four objects.

### Kick the goal: add proper fractions 1: assessment

Test your understanding of fractions by creating pairs that would add up to a target number. Target numbers can be whole numbers or proper fractions. For example, work out what fraction to add to four-fifths to total one whole. There are six tasks to complete. View and print a report of your results. This assessment object ...

### School canteen: estimate and check: level 2

Buy supplies online for a school canteen. Purchase given amounts of items such as bottles of orange juice and sesame bars. 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 which ...

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 ...

These seven learning activities, which focus on 'open-ended tasks' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use investigations in order ...

### 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. ...

### 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 ...

### School canteen: restock: level 1

Buy supplies online for a school canteen. Purchase given amounts of items such as muffins or bread rolls. Notice that the unit price of the items remains the same regardless of the quantity purchased. Perform basic calculations to work out how many packs you will need. For example, in order to purchase 80 bread rolls (available ...

### 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 ...

### Equivalent fractions pointer

This is an interactive resource about fractions. It presents students with a fraction and its equivalent visual representations as both the shaded portion of a shape and as the location on a number line. Students are also presented with two other empty shapes, and are required to divide each blank shape into equal portions ...

### Kick the goal: add improper fractions 2: assessment

Test your understanding of fractions by creating pairs that would add up to a target number. Target numbers can be whole numbers, mixed numbers or improper fractions. For example, work out how many eighths to add to five-fourths to reach one and three-quarters. There are eight tasks to complete. View and print a report ...