Mathematics / Year 7 / Number and Algebra / Real numbers

Curriculum content descriptions

Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line (ACMNA152)

Elaborations
• exploring equivalence among families of fractions by using a fraction wall or a number line (for example by using a fraction wall to show that 2/3 is the same as 4/6 and 6/9)
General capabilities
• Literacy Literacy
• Numeracy Numeracy
ScOT terms

Number lines,  Mixed numbers,  Equivalent fractions

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Year level 7-8
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Learning area Mathematics

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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.

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.

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.

Equivalent fractions and the use of the number line

This is a website designed for both teachers and students that addresses equivalent fractions from the Australian Curriculum for year 7 students. It contains material on equivalent fractions, and explains how equivalence can be demonstrated on the number line. There are pages for both teachers and students. The student ...

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 ...

TIMES Module 14: Number and Algebra: fractions - teacher guide

This is a 16-page guide for teachers that provides an introduction to fractions. It covers ordering, the four basic arithmetic operations, cancelling, writing in simplest form, the use of the area model for multiplication and the use of the number line for ordering, adding and subtracting. A history of the development of ...

Fraction action - unit of work

In this unit of work students move from working with tenths, hundredths and thousandths to relating common and decimal fractions and percentages.

Using 'Fraction action' - Teacher idea

This Teacher idea recounts the experiences of using R11475 'Fraction action - unit of work' with four year 7 classes. The focus was on students understanding the interchangeable relationship between common fractions, decimal fractions and percentages.

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 ...

Scale matters: range of numbers

Explore the use of scale on a number line. Select a ruler displaying a scale such as ones, tenths or hundredths. Look at a pair of numbers marked on a number line. Identify the number corresponding to another point. Or locate another point on the number line to complete a series of three numbers. Apply a marked scale to ...

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 ...

Scale matters: negatives

Explore the use of scale on a number line. Select a ruler displaying a helpful scale such as ones. Look at a pair of numbers such as -5 and -2 marked on a number line. Identify the number corresponding to another point. Or locate another point on the number line to complete a series of three numbers. Apply a marked scale ...

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 ...

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 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 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 ...

Exploring measures of central tendency

Examine the mean and median values for a data set recording emergency response times. Predict changes to the mean and median as new results are added.

Integer cruncher: subtraction

Use counters to model the subtraction of integers, for example (-3)-(-5)=(+2). See the calculations represented in an alternate form on a number line. This learning object is one in a series of four objects.

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 ...