# Mathematics / Year 7 / Number and Algebra / Real numbers

Curriculum content descriptions

Express one quantity as a fraction of another, with and without the use of digital technologies (ACMNA155)

Elaborations
• using authentic examples for the quantities to be expressed and understanding the reasons for the calculations
General capabilities
• Numeracy Numeracy
• ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Simple fractions

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Year level 7-8
Resource type
Learning area Mathematics

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### 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.

### Expressing one quantity as a fraction of a second

This is a website designed for both teachers and students that addresses the expression of one quantity as a fraction of a second quantity from the Australian Curriculum for year 7 students. It contains material on using the unitary method to solve fraction problems. There are pages for both teachers and students. The student ...

### Pointing out proportions of paint

You need to know what proportions of each colour to use if you want to mix paint consistently to the right shade. In this example, a shade of pink is made using red and white. See how to work out what fraction of the paint is white. First, though, make sure your units of measurement are the same.

### 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 ...

### 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 ...

### Kick the goal: add proper 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 or proper fractions. For example, work out how many twelfths to add to three-eighths to total seven-eighths. There are eight tasks to complete. View and print a report of your results. This assessment ...

### BBC Bitesize: fractions - revision

This is a set of information sheets dealing with fraction concepts, terminology and calculations. Students are presented with practice questions and have access to a short test to assess their learning. This resource is one of a series of online resources from the BBC's Bitesize collection.

### Comparing fractions: assessment

Test your understanding of fractions. Decide which one of a pair of fractions is larger, or if they are the same. Answer 9 or 12 questions, depending on your answers. Receive a report showing all of your answers. This assessment object is one in a series of two objects.

### Comparing fractions: strategies: assessment

Test your understanding of fractions. Decide which one of a pair of fractions is larger, or if they are the same. Choose which strategy you used to compare the two fractions. Answer 9 or 12 questions, depending on your answers. Receive a report showing all of your answers and the strategies you chose. This assessment object ...

### 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 ...

### 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. ...

### 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 ...

### The Numberline

An interactive tool that can help students explore a number line, including points representing integers, fractions and decimals

### How to find fractions on a number line

This interactive animated presentation demonstrates the representation of positive and negative fractions on a number line. Students are required to demonstrate their understanding by naming and locating fractions on the number line.

### 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 ...

### Addition and subtraction of fractions

This is a website designed for both teachers and students that addresses addition and subtraction of fractions. There are pages for both teachers and students. The student pages contain interactive questions for students to check their progress in the topics.

### 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.

### Kick the goal: add improper 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, mixed numbers or improper fractions. For example, work out how many ninths and how many thirds to add together to reach twelve-ninths. There are six tasks to complete. View and print a report ...

### Multiplication and division of fractions

This is a website designed for both teachers and students that addresses multiplication and division of fractions from the Australian Curriculum for year 7 students. It contains material on multiplication and division of fractions and explains how to deal with whole numbers and mixed numbers when multiplying and dividing ...

### Design a school: 10 by 10 grid: assessment

Test your knowledge of percentages and their relationship with proper fractions. Represent given percentages on a 10 by 10 grid. Also show them on a number line marked in tenths. Allocate squares on the grid to match the given percentages for different parts of the school. For example, show 15% of the grid as classrooms. ...