Mathematics / Year 7 / Number and Algebra / Real numbers

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

Connect fractions, decimals and percentages and carry out simple conversions (ACMNA157)

Elaborations
  • justifying choices of written, mental or calculator strategies for solving specific problems including those involving large numbers
  • understanding that quantities can be represented by different number types and calculated using various operations, and that choices need to be made about each
  • calculating the percentage of the total local municipal area set aside for parkland, manufacturing, retail and residential dwellings to compare land use
General capabilities
  • Numeracy Numeracy
ScOT terms

Simple fractions,  Percentages,  Decimals

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

Choose your own statistics

Explore the way in which statistics are presented using a wide range of graphs types for ten topics related to human rights. Customise and publish graphs and download data to a spreadsheet program such as Excel to enable further exploration.

Interactive resource

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. ...

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

The Numberline

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

Interactive Resource

Percentage discounts

This is a five-page HTML resource about solving problems concerning percentage discounts. It contains five questions and two videos. The resource discusses and explains solving problems with percentage discounts to reinforce students' understanding.

Interactive resource

Exploring combined percentages

Examine sports statistics for successfully completed passes in a gridiron match. Adjust the number of completions and passes needed in a second match to produce a given combined percentage. Watch a video showing how performance statistics change during a match.

Interactive Resource

Converting decimals to percentages

This interactive resource consists of a series of questions about converting decimals into percentages. The viewer is required to convert a decimal number into a percentage and enter the answer in a window on the screen. The answer can be checked and, if correct, the viewer moves to the next question. Help is available ...

Assessment resource

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. ...

Assessment resource

Design a park: 5 by 5 grid: assessment

Test your knowledge of percentages and their relationship with proper fractions. Represent given percentages on a 5 by 5 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 park. For example, show 24% of the grid as bushland. Add ...

Teacher resource

Mental computation: ratio and percentage

This is a teacher resource that is part of a wider series; it provides a strategies-based approach to mental computation of problems involving ratios and percentages for primary level. It provides 13 classroom activities that enable students to develop mental-computation skills in sequence by building conceptual understanding ...

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.

Teacher resource

Ordering and comparing fractions - 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.

Teacher resource

TIMES Module 20: Number and Algebra: percentages - teacher guide

This is a 15-page guide for teachers. This module introduces percentages and their many uses in science, commerce and measurement.

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

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 ...

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

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

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: 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

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 ...

Interactive resource

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.

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

A mathematical focus on 'Choose your own statistics'

This teaching resource demonstrates ways in which real data can be interpreted and analysed. It is based on the interactive learning resource Choose your own statistics, in which data is presented as infographics, graphical representations and tables. The focus of the supporting teaching and learning activities is on analysing ...