The goods and service tax

SubjectMathematics YearSenior secondary Curriculum Time170

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Introduction

This set of resources provides opportunities for students to use percentages, rates and proportions and technology (calculators and spreadsheets) in the context of the goods and services tax (GST).

These activities link to percentages, rates and proportions using the context of GST
 

Australian Curriculum or Syllabus

General Mathematics

Unit 1

Topic 1: Consumer arithmetic

Applications of rates and percentages:

  • review rates and percentages (ACMGM001).
  • calculate weekly or monthly wage from an annual salary, wages from an hourly rate including situations involving overtime and other allowances and earnings based on commission or piecework (ACMGM002).
  • apply percentage increase or decrease in various contexts; for example, determining the impact of inflation on costs and wages over time, calculating percentage mark-ups and discounts, calculating GST, calculating profit or loss in absolute and percentage terms, and calculating simple and compound interest (ACMGM006).

Use of spreadsheets:

  • use a spreadsheet to display examples of the above computations when multiple or repeated computations are required; for example, preparing a wage-sheet displaying the weekly earnings of workers in a fast food store where hours of employment and hourly rates of pay may differ, preparing a budget, or investigating the potential cost of owning and operating a car over a year. (ACMGM009)

Essential Mathematics

Unit 1

Topic 1: Calculations, percentages and rates

Percentages:

  • calculate a percentage of a given amount (ACMEM011)
  • determine one amount expressed as a percentage of another (ACMEM012)
  • apply percentage increases and decreases in situations; for example, mark-ups, discounts and GST. (ACMEM013)

Teacher resources

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Video

Goods and services tax (GST)

 
Visualiser

Using spreadsheets

Student learning resources

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Worksheet

Sales, GST and profit

 
Investigation

Impact of GST

Suggested activity sequence

This sequence is intended as a framework to be modified and adapted by teachers to suit the needs of a class group. If you assign this activity to a class, your students will be assigned all student resources on their 'My learning' page. You can also hand-pick the resources students are assigned by selecting individual resources when you add a work item to a class in 'My classes'.

Part A: GST and how it works

  1. Play: Goods and services tax (GST). This video explains what the GST is and how it works.
  2. Use a grouping strategy to organise students in groups of 3 or 4.
  3. Groups construct a brief definition of GST and an explanation of how it works. Each group writes their definition and explanation on the board.
  4. When all definitions and explanations are displayed, discuss the concept of GST and develop a simple class definition and explanation.

Part B: Calculating GST

  1. Explicitly teach students how to calculate GST from both the GST exclusive price and the GST inclusive price (that is, working forwards and backwards). Calculating GST at 10 percent – How-to-sheet might be a helpful resource for students.

    You might like to get students to complete a table like this one as a practice activity:

    Price (excluding GST)

    GST

    Price (including GST)

    $20.00

     

     

     

     

    $20.00

     

     

    $2,500.00

    $2,500.00

     

     

     

     

    $300.00

    $300.00

     

     

    $90.09

     

     

     

     

    $90.09

    $45.91

     

     

     

     

    $45.91

  2. Students complete part 1 of the worksheet.

Part C: Investigating GST, profit and profit margins

  1. As a class, read through part 2 of the worksheet. If necessary, use examples to demonstrate how to calculate profit, profit margins and percentage increase and decrease.
  2. If students need support in setting up spreadsheets, display and explain how to use spreadsheets using the Using spreadsheets – Visualiser.
  3. Reinforce learning by modelling the process of setting up an excel spreadsheet using the following scenario. If you’re all working together on this, everyone will need access to a computer with spreadsheet software.
    You work in an outdoor store and one of your tasks is to price items. The store wants to sell its down jackets for $118, beanies for $11, hiking shoes for $145 and backpacks for $46. How much GST do they need to add to each one and what will the final price on the price tag be?
    Refer students to Making an Excel spreadsheet using GST as an example – How-to-sheet if needed.
  4. Students complete parts 2 and 3 of the worksheet.
  5. Walk students through the investigation instructions, reminding them of the similarities to the problem you modelled.
  6. Students complete the investigation. Students may benefit from working individually and/or in small discussion groups.
  7. As a class, discuss students’ findings.