Teacher Notes This Power Point presentation has been

Teacher Notes • This Power. Point presentation has been designed to support teachers to deliver a lesson on calculating discounts. • It specifically addresses the Australian Curriculum content descriptors for Mathematics: Number and Algebra – Money and financial mathematics. • For additional teaching resources, browse the Money and Financial Mathematics category on the Teach Starter website. Some specific resources to compliment this Power. Point include: Money and Financial Mathematics Worksheets – Year 6 Dan’s Digital World Brochure and Worksheets

Symbols I do: my turn to talk. This is the explanation section of our lesson where you are required to listen. We do: this is where we discuss or work on the concepts together. You do: your turn to be involved. You may be working in a group or on an activity individually.

Calculating Discounts

Discounts in Everyday Life Betty’s dress Dad bought his barbeque on sale maker gave her a 10% discount. for 25% off. Children receive 50% off their skate hire. Can you think of any other examples? Pensioners pay 15% less for movie tickets.

What is a Discount? • A discount is a price reduction that is being applied to the regular price of an item. • Discount rates are usually expressed as a percentage (for example, 50% off). • Once a discount is calculated, it is subtracted from the regular price of the item. • The new price of the item is known as the sale price. regular price – discount = sale price

Calculating Discounts - Methods • There are two methods you can use to calculate discounts. One involves fractions, the other involves decimals. • It is helpful to know both of these methods so you can choose the method that best suits the question you are answering. • Let’s look at some examples of calculating discounts using these two methods.

Calculating Discounts Using Fractions To calculate the discount on the regular price using fractions, follow these steps: 1. Find the discount rate. 2. Express the discount rate as a fraction. Was priced at $42. Now 50% off! 3. Multiply the discount rate (expressed as a fraction) by the regular price.

Calculating Discounts Using Fractions 1. Find the discount rate. The discount rate is 50% off. 2. Express the discount rate as a fraction. 3. Multiply the discount rate (expressed as a fraction) by the regular price. Was priced at $42. Now 50% off! The discount is $21.

Calculating Discounts Using Fractions As a class, calculate the discount in the following example. The discount rate is 10% off. Was priced at $750. Reduced by 10%! The discount is $75.

Calculating Discounts Using Decimals To calculate the discount on the regular price using decimals, follow these steps: 1. Find the discount rate. 2. Express the discount rate as a decimal. Was priced at $42. Now 50% off! 3. Multiply the discount rate (expressed as a decimal) by the regular price.

Calculating Discounts Using Decimals 1. Find the discount rate. The discount rate is 50% off. 2. Express the discount rate as a decimal. 50% expressed as a decimal is 0. 5. 3. Multiply the discount rate (expressed as a decimal) by the regular price. Was priced at $42. Now 50% off! $42 x 0. 5 21. 0 The discount is $21.

Calculating Discounts Using Decimals As a class, calculate the discount in the following example. The discount rate is 10% off. 10% expressed as a decimal is 0. 1. Was priced at $750. Reduced by 10%! $750 x 0. 1 75. 0 The discount is $75.

Calculating Discounts - Review Use the method of your choice to calculate the discounts. Was priced at $400 Reduced by 25% Retail price $2000 Take off 10% Skate hire $13 50% child discount

Calculating Discounts - Answers Was priced at $400 Reduced by 25% Discount = $100 Retail price $2000 Take off 10% Discount = $200 Skate hire $13 50% child discount Discount = $6. 50

Calculating Sale Price - Method • Once you have calculated the discount on an item, you can use this amount to calculate the new, reduced price. This is known as the ‘sale price’. • The sale price is calculated by subtracting the discount amount from the regular price. • Let’s look at how we might calculate the sale price using the previous two examples. 2 $ 5. 7

Calculating Sale Price To calculate the sale price, follow these steps: 1. Calculate the discount using either the fraction or decimals method. Was priced at $42. Now 50% off! 2. Subtract the discount amount from the regular price.

Calculating Sale Price 1. Calculate the discount using either the fraction or decimals method. The discount is $21. 2. Subtract the discount amount from the regular price. Was priced at $42. Now 50% off! $42 - $21 = $21 The sale price is $21.

Calculating Sale Price As a class, calculate the sale price in the following example. The discount is $750 - $75 = $675 The sale price is $675. Was priced at $750. Reduced by 10%!

Calculating Sale Price - Review Use the discounts to calculate the sale prices. Was priced at $400 Reduced by 25% Discount = $100 Retail price $2000 Take off 10% Discount = $200 Skate hire $13 50% child discount Discount = $6. 50

Calculating Sale Price - Answers Was priced at $400 Reduced by 25% Discount = $100 Sale Price = $300 Retail price $2000 Take off 10% Skate hire $13 50% child discount Discount = $200 Discount = $6. 50 Sale Price = $1800 Sale Price = $6. 50