Lesson Plans

LESSON SEQUENCE CONTENT INDICATORS EXAMPLES OF WORKING MATHEMATICALLY

Lesson 1

Investigating & Calculating GST-inclusive Items

Syllabus Dot Points

Investigate the Goods and Services Tax (GST), with and without the use of digital technologies

calculate GST and GST-inclusive prices for goods purchased in Australia, given the pre-GST price

Working Mathematically Indicators

› interpret GST information contained on receipts (Communicating)

› investigate efficient methods of computing the GST and GST-inclusive prices (Problem Solving)

› explain why the value of the GST itself is not equivalent to 10% of the GST-inclusive price (Communicating, Reasoning)

Resources

Video: Behind the News "GST Changes" https://www.abc.net.au/btn/classroom/gst-changes/10527446
JB-HiFi Online Catalogue: https://www.jbhifi.com.au/

Lesson 2

Determining pre-GST Prices

Syllabus Dot Points

determine the pre-GST prices for goods, given the GST-inclusive price

Working Mathematically Indicators

› interpret GST information contained on receipts (Communicating)

› explain why the pre-GST price is not equivalent to 10% off the GST-inclusive price (Communicating, Reasoning)

Resources

Shopping receipts

Lesson 3

Special Offers and Percentage Discounts

Syllabus Dot Points

Investigate and calculate 'best buys', with and without the use of digital technologies(ACMNA174)

solve problems involving discounts, including calculating the percentage discount

Working Mathematically Indicators

› evaluate special offers, such as percentage discounts, 'buy-two-get-one-free', 'buy-one-get-another-at-half-price', etc, to determine how much is saved (Communicating, Problem Solving)

Resources

Duelling Discounts - http://threeacts.mrmeyer.com/duelingdiscounts/

Lesson 4

'Best Buys'

Syllabus Dot Points

calculate 'best buys' by comparing price per unit, or quantity per monetary unit, eg 500 grams for $4.50 compared with 300 grams for $2.75

Working Mathematically Indicators

› investigate 'unit pricing' utilised by retailers and use this to determine the best buy (Problem Solving)

› recognise that in practical situations there are considerations other than just the 'best buy', e.g. the amount required, waste due to spoilage (Reasoning)

› justify 'best value' for money decisions (Reasoning, Problem Solving)

Resources

Grocery Unit Prices ACCC link
Advertising brochures or online supermarket catalogues

Lesson 5

Value for Money

Syllabus Dot Points

calculate 'best buys' by comparing price per unit, or quantity per monetary unit, eg 500 grams for $4.50 compared with 300 grams for $2.75

Working Mathematically Indicators

› recognise that in practical situations there are considerations other than just the 'best buy', eg the amount required, waste due to spoilage (Reasoning)

› use price comparison websites to make informed decisions related to purchases under given conditions (Problem Solving)

Resources

Price Comparison Websites

Lesson 6

Express Profit/Loss as a % of Cost Price

Syllabus Dot Points

Solve problems involving profit and loss, with and without the use of digital technologies(ACMNA189)

express profit/loss as a percentage of the cost price

Working Mathematically Indicators

› explain why profit or loss is expressed as a percentage of the buying price ( i.e. the cost price) and not of the selling price (Reasoning, Communication, Fluency)

› identify strategies (e.g. special offers, discounts etc.) used by retailers to maximise profit and use this to determine profit as a percentage of the original cost (Problem Solving)

Resources

Tree Tops - https://nrich.maths.org/918

Lesson 7

Calculate the Selling Price from Profit/Loss %

Syllabus Dot Points

calculate the selling price, given the percentage profit/loss on the cost price

Working Mathematically Indicators

› identify that:

selling price = cost price + profit;

selling price = (100 + profit or loss %) x cost price/100 (Reasoning)

› evaluate the role of up-selling items (Communicating, Problem Solving)

› recognise that in practical situations, selling prices are increased to maximise the amount of profit (Reasoning)

Resources

Stock Market Game [See Worksheet 7 for teaching resources]

Lesson 8

Calculate Cost Price

Syllabus Dot Points

calculate the cost price, given the selling price and percentage profit/loss

Working Mathematically Indicators

› identify that:

cost price = selling price - profit;

cost price = selling price × 100 / (100 + profit%) (Reasoning)

› investigate the overall cost of items if the selling price and profit/loss margin are known (Problem Solving)

› recognise that in practical situations, the margin of profit increases as selling price > cost price (Reasoning)

Resources

Muffin Bakery: Price Setting http://www.scootle.edu.au/ec/viewing/L3238/index.html

Note for Teachers:

Students in this Unit of Work will be using the Year 8: Jacaranda Maths Quest 8 AC 3e learnON & Print [ISBN: 9780730346746; Publication Date: November 2017]. Homework or follow up activities that refer to 'Textbook' will be in reference to this edition.

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