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Understanding Percent Discounts and Sale Calculations

This lesson focuses on calculating percentages of quantities to solve problems involving discounts, sales, and tips. Students will apply prior knowledge of decimal multiplication and converting percentages to decimals in real-world scenarios. The primary goals include determining cost after applying coupons or discounts, computing savings, and understanding sale prices. Collaborative activities encourage teamwork in comparing prices across stores. By the end of the lesson, students will confidently perform calculations and solve at least 3 of the 4 exit ticket questions correctly.

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Understanding Percent Discounts and Sale Calculations

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  1. Percent Discounts

  2. NS 1.4 Calculate given percentages of quantities and solve problems involving discounts at sales, interests earned, and tips. • Today’s objective: use our previous topics of decimal multiplication, converting percents to decimals, and percents of numbers to calculate how much items will cost after coupons/sales are applied. • Learning target: Answer at least 3 of the 4 questions correctly on the exit ticket.

  3. The savings is how much less than usual the item costs. This is what we have been calculating so far. • The sale price is how much the item actually costs. • What is the difference between the savings and the sale price?

  4. Original price – savings = sales price • $12 - $3 = $9 • How do the savings and the sales price relate? • I have a $3 off coupon for a $12 DVD. How much will it cost?

  5. 20% = 0.20 = 0.2 • $30× 0.2 • $60 • $30- $6$24 • A $30 toy is on sale for 20% off. How much is the savings? • What is the sale price? = $6.00 = $6 .

  6. 14% = 0.14 • $20 ×.14 • 80+200 • $280 • A shirt normally costs $20 but I have a 14% off coupon. How much money will I save? .

  7. $20 - $2.80 • When subtracting decimals, line up the decimal points vertically. • $20 = $20.00 • $20.00- $2.80 • $17.20 • What is the sale price?

  8. Direct Station • We will work together on word problems that involve finding percents of numbers.

  9. Collaborative Station • You and your partner are shopping for various items. Of course, you want to find the cheapest prices, but it’s hard to tell because all the stores are having sales and coupons. • For each item, you and your partner(s) will each calculate how much the item costs at a different sore.

  10. Collaborative Station • Set up your paper like this: • For each item, you and your partner(s) will each calculate how much the item costs at a different sore.

  11. Collaborative Station Example • Store A sells printers for $30 and they have a 25% off sale.

  12. Independent Station • Continue working on ST Math’s multiplying decimals unit. As you saw, correctly multiplying decimals is a key part of finding the percent of a number! • Write down the multiplication calculations on your work paper.

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