Mathematics / Year 7 / Number and Algebra / Real numbers

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

Multiply and divide fractions and decimals using efficient written strategies and digital technologies (ACMNA154)

Elaborations
  • investigating multiplication of fractions and decimals, using strategies including patterning and multiplication as repeated addition, with both concrete materials and digital technologies, and identifying the processes for division as the inverse of multiplication
General capabilities
  • Numeracy Numeracy
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Division,  Simple fractions,  Multiplication,  Decimals

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

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 ...

Interactive Resource

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.

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.

Teacher resource

Multiplication and division of decimals

This is a website designed for both teachers and students that addresses multiplication and division of decimals from the Australian Curriculum for year 7 students. It contains material on multiplication and division of decimals and helps students to understand multiplication and division as inverses of each other. There ...

Teacher resource

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 ...

Interactive Resource

Division with decimals

This is a four-page HTML resource about the division of decimals. It contains one video and six questions for students to complete, one of which is interactive. The resource discusses and explains division of decimals to reinforce the students' understanding. It begins with division of a decimal by a whole number and progresses ...

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 ...

Teacher resource

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 ...

Interactive Resource

Rounding decimals

This is a six-page HTML resource about solving problems concerning rounding. It contains one video and eight questions, four of which are interactive. The resource discusses and explains solving problems with rounding of decimals to reinforce students' understanding.

Interactive Resource

Multiplication of decimals by a whole number

This is a four-page HTML resource about solving problems concerning the multiplication of decimals. It contains one video and four questions, two of which are interactive. The resource discusses and explains solving problems involving multiplying a decimal by a whole number to reinforce the students' understanding.

Interactive resource

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 ...

Interactive resource

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. ...

Interactive resource

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 ...

Interactive resource

School canteen: best buy: level 2

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. In this level, perform slightly harder calculations to work out how many packs you will need, and which available pack size ...

Interactive resource

School canteen: two traders: level 1

Buy supplies online for a school canteen. Purchase given amounts of items such as bottles of orange juice and cheese sticks. For each item on the shopping list, check the prices and package sizes of two traders. Perform basic calculations to select the cheaper deal for each item. Compare the total cost of the items from ...

Interactive resource

School canteen: two traders: level 2

Buy supplies online for a school canteen. Purchase given amounts of items such as bottles of water and cheese sticks. For each item on the shopping list, check the prices and package sizes of two traders. In this level, perform slightly harder calculations to select the cheaper deal for each item. Compare the total cost ...

Assessment resource

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.

Assessment resource

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 ...

Teacher resource

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.

Moving Image

What are factors?

What are factors? Watch as the jelly babies in this clip show you! What are the factors of 12? How many factors does the number 11 have? Try explaining to a friend what a prime number is.