Mathematics / Year 7 / Number and Algebra / Real numbers

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

Solve problems involving addition and subtraction of fractions, including those with unrelated denominators (ACMNA153)

Elaborations
  • exploring and developing efficient strategies to solve additive problems involving fractions (for example by using fraction walls or rectangular arrays with dimensions equal to the denominators)
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Subtraction,  Denominators,  Addition

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Year level 7-8
Resource type
Learning area Mathematics
Assessment resource

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 ...

Assessment resource

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 ...

Moving Image

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.

Text

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.

Assessment resource

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 ...

Teacher resource

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 ...

Interactive resource

Integer cruncher: addition and subtraction

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

Interactive resource

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.

Interactive resource

Integer cruncher: addition

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

Interactive resource

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 ...

Interactive resource

Exploring integers

Calculate the change in temperature between two days. Notice that the temperature difference may be positive or negative. For example, if the temperature is 17 °C one day and 14 °C the next day, then the temperature change is -3 °C. Watch a video showing how temperature is expressed using integers. Find out why temperature ...

Teacher resource

Number talks

Use these tasks and resources to provide opportunities for students to explain mental strategies for performing calculations. Present a number of mathematical statements for students to investigate whether they are true or false. As a further challenge include statements about percentages and improper fractions.

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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.

Teacher resource

Australia's Trade through Time

Using an interactive timeline created by the Department of Foreign Affairs and Trade, this Teacher guide provides 12 series of learning experiences that engage students in the analysis and interpretation of data about Australian trade from 1900 to the present day. Students study videos, tables, images and texts in order ...

Teacher resource

TIMES Module 19: Number and Algebra: whole number arithmetic - teacher guide

This is a 17-page guide for teachers, a module that introduces addition of whole numbers.

Teacher resource

TIMES Module 7: Number and Algebra: addition of whole numbers - teacher guide

This is a 16-page guide for teachers. This module introduces addition of whole numbers.

Teacher resource

TIMES Module 8: Number and Algebra: subtraction of whole numbers - teacher guide

This is a 16-page guide for teachers. This module continues the consideration of whole numbers.