Mathematics / Year 7 / Number and Algebra / Real numbers

Curriculum content descriptions

Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies. (ACMNA158)

Elaborations
  • using authentic problems to express quantities as percentages of other amounts
General capabilities
  • Numeracy Numeracy
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Percentages

Video

How does income tax work?

Gen Fricker makes income tax interesting! Learn about income tax - what it is, how it works and when you have to pay it. Easy-peasy! Then test yourself with ASIC Moneysmart's "Things to think about" classroom exercises.

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TIMES Module 17: Number and Algebra: the unitary method - teacher guide

This is an 18-page guide for teachers. This module introduces the idea of ratios and rates.

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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.

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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 ...

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7N05A Percentages - Ochre Education

This unit of work focuses on percentages. Students represent percentages, including percentages greater than 100%; convert between decimals, fractions, and percentages; write one number as a percentage of another (including where the percentage is greater than 100%) and find a percentage of a number (including using percentages ...

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7N03A Fractions - Ochre Education

This unit of work focuses on fractions. Students represent and convert between equivalent forms, such as improper and mixed numeral and equivalent and simplified fractions; compare and order positive and negative fractions; add, subtract, multiply, divide (including writing one number as a fraction of another and finding ...

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7N04A Decimals - Ochre Education

This unit of work focuses on decimals. Students represent, compare, and order positive and negative decimals; convert between terminating decimals and fractions; add, subtract, multiply, divide (including writing one number as a decimal of another and finding a decimal of a number), square, cube, square root and cube root ...

Downloadable

The wide wide world of sports betting

This lesson explores the difference between perfectly predictable events (like the roll of a die) and less certain events (such as sports). Students investigate mathematically how sports bookmakers create odds to guarantee themselves a profit and pay gamblers less for a win than they deserve. The lesson is outlined in ...

Downloadable

Can you beat the system?

In this lesson, students calculate the average expected value of losses on a roulette wheel over time, and use these values to analyse the cost of gambling on these games. They also study the flaws inherent in betting systems to determine whether these systems are weighted in the favour of game operators making a profit. ...

Downloadable

Prediction vs. reality

This lesson explores how we perceive randomness. Students toss coins and record their observations while half of the class fake their results. They will then explore the differences between the random results and fake results sets and investigate theoretical probabilities for large numbers of coin flips. The lesson is outlined ...

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Introduction to games of chance

This lesson explores how to predict outcomes of games of chance. Students investigate the concepts of luck, skill and fairness, using dice games. They calculate probabilities for one and two dice rolls and compare the odds for different combinations of dice in a variety of game scenarios. The lesson is outlined in detail ...

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All operations: Year 7 – planning tool

This planning resource for Year 7 is for the topic of All operations. Students use all operations with positive rational numbers and to choose the most appropriate and efficient approach when solving a variety of problems.

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Mathematical modelling (Number): Year 7 – planning tool

This planning resource for Year 7 is for the topic of Mathematical modelling. Students use knowledge of the other topics in the Number strand, so that applying knowledge and skills can be modelled. This can be done in groups or as a whole class, as well as individually. Collaborative learning works well for practical problems.

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Graphs: formulas and variables

In this lesson, students use algebra and linear equations to model two real-world scenarios to find information to make the best choice. Students set the aim of saving for a mobile phone (or similar goal) and use linear equations to model the pay rates of two part-time jobs to help make the better decision. This lesson ...

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Practical numbers: Part 2

In this lesson we use the context of an ancient bazaar to investigate measurement systems. Students select a name and base number for their system of measurement, using weights made from clay or similar material. They divide their clay into possible unit fractions to generate their set of weights. They assign a fictional ...

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Estimating and rounding decimals

In this lesson, students draw on prior knowledge of rounding whole numbers to develop their understanding and fluency when rounding decimals and are encouraged to reason and problem-solve through a variety of contextual activities. Students will also develop an appreciation of the role of estimation in mathematics and science.

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Practical numbers: Part 1

In this lesson, students explore standardised measuring systems. They encounter the challenge of a shopkeeper who must determine how to weigh different quantities of spices most efficiently. Working in a financial context, students model this scenario using fractions, percentages and ratios, and communicate their solution ...

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Proportional reasoning video

Use this video as a springboard to explore scaling or proportional thinking, and to apply that thinking in a food context, drawing on reasoning and mathematical modelling.

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Algebraic equations: video and teaching guide

This video uses an everyday scenario of three people sharing a taxi ride to explore algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning and mathematical modelling. Use the video with the supporting teacher guide as a springboard to explore mathematical concepts. The teacher guide ...

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Tax, Super + You

Tax, Super + You is designed to provide teachers and parents with practical resources to help students in Years 7-12 understand the value of tax and superannuation, and have confidence when entering the workforce. Registration for a free account is required to access the full suite of materials.