Mathematics / Year 8 / Number

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Curriculum content descriptions

use mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts; formulate problems, choosing efficient calculation strategies and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model (AC9M8N05)

Elaborations
  • modelling situations involving weather and environmental contexts including temperature or sea depths by applying operations to positive and negative rational numbers; for example, involving average temperature increases and decreases
  • modelling situations that involve percentage increases or decreases and explaining why it is an increase or decrease, such as mark-ups, discounts, Goods and Services Tax, changes in populations or recycling rates
  • modelling situations involving personal income tax, interpreting tax tables to determine income tax at various levels of income, including overall percentage of income allocated to tax
  • modelling situations involving percentage increase or decrease such as market trends, effects on population, or effects on the environment over extended time periods
General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Numeracy Numeracy
ScOT terms

Mathematical expressions,  Calculators,  Justification (Reasoning),  Proportions,  Mathematical problem solving

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14 direct matches to AC9M8N05 | 6 other related resources
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Financial Mathematics: Simple Interest - Calculate

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This unit introduces the calculation of simple interest, as a starter for learning about compound interest. Students learn about a range of ways in which interest generally is used and applied in the real world and then use the formula for calculating simple interest to solve borrowing, saving and investment problems.

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Mathematics, moon phases, and tides

  • TLF-IDA003762

Through this activity, students will learn the relationship between lunar phases and tides, graphically plotting the tidal range versus Moon phase over an annual cycle for a selected Australian port, as well as determining the mean tidal range for each lunar phase. Students will then focus on determining the relationship ...

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Different ways to pay

  • TLF-IDA002781

This lesson challenges students to explore the pros and cons of various payment options, how they spend their money, different consumer products and where to go for more information about saving money and debt. During the lesson, students investigate multiple payment options to choose those that suit their circumstances, ...

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Moving out of home

  • TLF-IDA005438

This lesson explores costs and responsibilities associated with moving out of home and setting up living arrangements. The resource is part of a suite of lesson plans and activities from MoneySmart, designed to bring everyday financial topics into the classroom.

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Mrs Sim's Dollars and Sense - Calculate

  • TLF-IDA004333

This alternate assessment task focuses on calculating gross and net wages before and after tax; operating and solving problems using simple and compound interest; and making valid comparisons between total accumulated costs and the initial (principal) amounts of money borrowed or invested.

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Percentages - Calculate

  • TLF-IDA004261

In this unit, let’s look at how percentages are used in everyday life to compare changes in things and measure rates of change.

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Video

How does income tax work?

  • TLF-IDM025251

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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My Five Cents: Why borrowing can cost you more

  • TLF-IDM025250

Think credit cards are basically free money? Gen Fricker will make you think again. Learn how interest rates and fees affect the money you borrow, and why they may be more expensive in the long run. Oh dear! Then test yourself with ASIC MoneySmart's "Things to think about" classroom exercises.  

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BTN: What is the GST?

  • TLF-IDM021150

The Goods and Services Tax (GST) is a tax placed on things people buy with money or things people do for money. Can you name some goods and services that have GST? What about some goods and services that don't have GST? Find out when and why the GST was first introduced.

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Australia's Trade through Time

  • TLF-IDM025126

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

  • TLF-IDM008820

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

  • TLF-IDM008813

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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My Five Cents: Why investing can be risky

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Planning to get rich quick by investing one day? Before you jump in, let Gen Fricker explain some of the risks involved with different types of investments. Then test yourself with ASIC MoneySmart's "Things to think about" classroom exercises.  

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Video

Big data, better hospitals

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Overcrowding in hospitals is one of the biggest challenges facing our healthcare system . In order to reduce hospital waiting times, the Patient Admission Prediction Tool (PAPT) uses historical data to predict how many patients, and with what kinds of injuries, are expected to arrive at the emergency department each day ...

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Proportional reasoning video

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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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MathXplosion, Ep 50: How to use a tetrahedron to solve the tree problem

  • TLF-IDM024991

How can you place four trees exactly the same distance apart from one other? By making a model! By using miniature trees to make a model of the problem, it becomes clear that a 2D solution is impossible. We learn how objects can help us visualise the problem situation, which in this case requires a 3D solution: a tetrahedron.

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Catalyst: Take the Phi Golden challenge

  • TLF-IDM015446

The golden ratio, Phi: fact or fallacy? What about the Fibonacci sequence? We are told this ratio and its cousin Fibonacci occur everywhere in nature. Let's see which of these claims stacks up when put to the test.

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Video

Can you guess the weight of Uluru?

  • TLF-IDM025420

What is the "wisdom of a crowd"? Mathematician Lily Serna investigates a mathematical phenomenon that suggests that if you have a large enough crowd, with a broad variety of people making estimates, then the mean (average) answer of the crowd will be accurate! Find out if a crowd can guess the weight of Uluru from the ground ...

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MathXplosion, Ep 33: On the grid

  • TLF-IDM025009

Explore graphs, grids and mapping with a focus on reading and writing location data using coordinate geometry. Grids and maps illustrate the concepts of parallel/perpendicular lines (axes or labelled number lines), ordered pairs and intersection points.

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Comparing fuel consumption

  • TLF-IDM021132

Is it more fuel efficient to drive or fly between two places? Watch this clip and learn how to calculate the answer. What are the various factors that need to be taken into account? This video was made using the American measurement of gallons per hour, American firgures for the average number of passengers in a car and ...

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