Mathematics / Year 7 / Number and Algebra / Number and place value

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

Compare, order, add and subtract integers (ACMNA280)

Elaborations
  • understanding that arithmetic laws are powerful ways of describing and simplifying calculations
General capabilities
  • Numeracy Numeracy
ScOT terms

Subtraction,  Addition,  Integers,  Numerical order

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Year level 7-8
Resource type
Learning area Mathematics
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

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

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

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

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 ...

Interactive resource

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 ...

Moving Image

Positive about negative numbers?

Do you know how to deal with negative integers (numbers) when carrying out the four operations? In the first example, see how to add and subtract negative numbers. It uses temperature to help you understand how it's done. The next examples are multiplication and division.

Teacher resource

TIMES Module 15: Number and Algebra: the integers - teacher guide

This is a 24-page guide for teachers. The module introduces the integers, order of the integers and operations on the integers.

Interactive Resource

Greater than half?: balloon pop game

This is an interactive game that requires students to solve a variety of problems involving all four operations and to identify if the solution is greater than half. The student is presented with problems to be solved involving integers, fractions, decimals and percentages. If the solution is greater than half, the student ...

Text

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.

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 ...

Interactive Resource

The Numberline

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

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 ...

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 ...

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.

Interactive Resource

Fractions

This Android app is a mathematical game that tests the user's ability to identify equalities among fractions, percentages, integers and arithmetic expressions involving addition or subtraction. At the start of the game a grid of 2x2, 3x3 or 4x4 squares is randomly generated. Each side of the squares is labelled with a mathematical ...

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.

Teacher resource

TIMES Module 19: Number and Algebra: multiples, factors and powers - teacher guide

This is a 33-page guide for teachers. It introduces the concepts of primes, composites, prime factorisation, factors, multiples, odd and even numbers, the least common multiple and the highest common factor.

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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.

Moving Image

Add and subtract fractions

Do you know how to add and subtract fractions? What about fractions like 1/4 and 1/3 that have different denominators? See what you need to do to the denominator before you can add or subtract fractions. You'll see another way to find an answer, too.