Unlocking the Mystery_ Finding Original Amounts in Percent Problems!.pptx

Solving for the original amount given the percent value

1. Unlocking the Mystery: Finding Original Amounts in Percent Problems! Gratuity, Tax, Markup, Discount & More — Florida Standards 7th Grade Melvin Flores

2. Today, we'll learn how to solve real-world percent problems! You'll figure out how to find the original price when given things like tip (gratuity), tax, commission, markup, or discounts using diagrams and math expressions! What Are We Learning Today?

3. Florida Benchmark: MA.7.NSO.2.3 This lesson matches Florida's benchmark MA.7.NSO.2.3: Find the original amount in real-world percent problems using diagrams and expressions. Get ready to solve problems like a pro!

4. Sarah buys a T-shirt for $16 after a 20% discount. What was the original price before the discount? Hint: Think backwards and use a diagram or equation! Bell Ringer: Let’s Warm Up! Ready, Set, Solve!

5. Original Price × 80% = $16 Solution: $16 ÷ 0.8 = $20 Reflection: Did you try drawing a model, writing an equation, or both? Which helped more? Bell Ringer Answer & Reflection

6. Bell Ringer Reflection Discussion Let’s share! Did anyone try: - Drawing a bar diagram? - Using an equation? How did it feel to work backwards to find the original price?

7. Have you ever left a tip (gratuity), paid sales tax, or seen items on sale? These are all real-life percent problems! Today, you'll be able to solve them all! Percent Problems All Around Us!

8. Visualizing with Diagrams Diagrams can help us see how a percent increases or decreases an amount. For example, shading 80% of a bar for a 20% discount, with 20% marked as 'discount' and 80% as 'price paid'.

9. A meal costs $36 after including 20% gratuity (tip). What was the meal’s original cost? Step 1: Draw or imagine a bar representing 100% plus the 20% tip. Step 2: Set up the equation: Original × 1.20 = $36 Step 3: Solve! We Do: Solving Together! A Group Example

10. $36 ÷ 1.20 = $30 So, the meal originally cost $30 before the tip. Who can explain this using a diagram? Let’s Check! (We Do Solution)

11. Jamie bought shoes for $72 after paying 8% sales tax. What was the price before tax? (Hint: Original × 1.08 = $72) Try a diagram or equation and show your steps! You Do: Try It Yourself! Practice Problem

12. Let’s Review: Check for Understanding 1. What is a diagram you can draw for these problems? 2. If an item costs $60 after a 25% markdown, what was the original price? 3. What is the difference between markup and discount?

13. Long ago, store owners calculated all tax and discounts by hand before computers! Now you can do it too—with or without a calculator! Fun Fact Time!

14. Complete the worksheet: 1. Grocery bill: $85 after a 6% tax — what was the price before tax? 2. A skateboard now costs $45 after a 40% discount — what was the original price? 3. Challenge: A jacket with a 10% markup is now $77 — what did it originally cost? Assignment: Put Your Skills to the Test! Let’s Practice

15. Today, we: - Found original amounts using percent increases/decreases in real life - Used diagrams and equations - Solved problems with gratuity, tax, markup, discount, and markdown Great job, 7th graders! Recap & Let’s Wrap Up! Quick Review