Use Percent to Solve Problems
I can solve problems involving discounts, markups, tax, and tips using percents.
How to Use This Deck
Click Present or press F11 for fullscreen. Use arrow keys to advance.
Blue boxes show exactly what to say, ask, and how long to spend.
Text boxes, polls, and drag-sort save automatically in the browser.
Press N or click 📝 in the toolbar for pacing tips and answers.
Launch the full HTML activity for independent practice.
File → Print or the print button for handout copies.
🎯 Content Objective / Objetivo de contenido
I can solve problems involving discounts, markups, tax, and tips using percents.
Today's Flow
Total pacing: ~45 min · Progress bar at top tracks your place
LAUNCH
⏱ ~10 min
⏱️ 3 MIN · THINK-PAIR-SHARE
At the prize shop a bear is 25% off but the shop adds 5% tax. Which of these raises the price and which lowers it, and what do the words discount, markup, tax, and tip have in common?
Check for Understanding #1
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Arcade Builder Challenge
Welcome to the arcade prize shop! You've been saving up tickets and now it's time to spend them. Some prizes are on sale with discounts, but the shop also charges a 5% ticket tax on purchases. Plus, there's a 10% markup on limited-edition prizes. Can you figure out the final ticket cost for each prize?
Concept Launch
💡 How do I find a price after a discount and then a tax?
A discount lowers a price. A tax, tip, or markup raises a price. Each one is a percent of the price.
Take the discount off first to get the new lower price, then add the tax on that new price.
Check for Understanding #2
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Now it's your turn
VOCABULARY
⏱ ~8 min
| Term / Término | Meaning / Significado | Example / Ejemplo | Visual |
|---|---|---|---|
| Discount Descuento |
Money taken off the first price to make it cheaper. Dinero que se quita del precio original para que sea más barato. |
20% off $50 → discount is $10 | |
| Markup Recargo (margen) |
Money added to the cost to set the selling price. Dinero que se suma al costo para fijar el precio de venta. |
A $30 item with 10% markup sells for $33 | |
| Tax Impuesto |
Extra money added to a price for the government. Dinero extra que se suma a un precio para el gobierno. |
6% tax on $20 adds $1.20 | |
| Tip Propina |
Extra money you give for good service. Dinero extra que das por un buen servicio. |
15% tip on $40 = $6 | |
| Percent Porcentaje |
A way to compare a number to 100, shown with the % sign. Una manera de comparar un número con 100, con el signo %. |
50% means 50 out of 100 |
Which Word Fits?
An amount taken off the original price is a ___.
Use It In a Sentence
Check for Understanding #3
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Turn & Talk — Launch
At the prize shop a bear is 25% off but the shop adds 5% tax. Which of these raises the price and which lowers it, and what do the words discount, markup, tax, and tip have in common?
👂 Listen For
Students sort discount as lowering price and tax/tip/markup as raising it, and recognize all are a percent of a price.
Extend: Does it matter whether the shop takes the discount first or adds the tax first? Predict, and explain your reasoning before you calculate.
EXPLORE & PRACTICE
⏱ ~18 min
Visual Modeling Workspace
Use the drawing tray below to annotate the visual model. Teacher: say "Click to reveal" on key steps.
Explore Activity
Complete the table to find the final ticket cost for each arcade prize after discounts and taxes.
✍️ Explore Discourse
Why do we apply the discount before calculating the tax?
Whiteboard Moment
Show your work clearly. Be ready to explain your thinking to a partner.
Turn & Talk — Explore
In your table you found the discount, then the tax. Why do we calculate the tax on the price AFTER the discount instead of the original price?
👂 Listen For
Students explain the discount lowers the price first, then tax is applied to that new lower price (e.g., 5% of 72 = 3.6).
Extend: A classmate added the 5% tax and the 25% discount into one '20% off' step. Explain why combining them like that gives the wrong final price.
Practice Check A
A store marks up a $30 item by 40%, then a customer gets 10% off. What is the final price?
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Practice Check B
A restaurant bill is $35. You want to leave a 20% tip. What is the total amount you pay?
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Equivalent Ratio Sort
Complete the interactive activity using today's strategy.
✍️ Justify Your Thinking
Store 4 — Deal Sorter: Sort each mall sign by what it does to the final price.
A classmate turned in the work below. One step has a mistake. Read every step, find it, name it, and fix it.
Choose ONE option to show what you know — then do it in the workspace below.
Use evidence from today's lesson to complete each frame.
Today's key idea is: "Take the discount off first to get the new lower price, then add the tax on that new price." — and it works because ___.
Because Discount means ___, but a tricky part is ___, so I have to ___.
A common mistake with Discount is ___. It happens because ___, and the fix is ___.
I can prove my answer is correct by ___, using Markup to check my work.
✍️ TWR · WRITE 3 SENTENCES · 7 MIN
Take the discount off first to get the new lower price, then add the tax on that new price. because ___
Take the discount off first to get the new lower price, then add the tax on that new price. but ___
Take the discount off first to get the new lower price, then add the tax on that new price. so ___
🌱 TWR · GROW THE KERNEL · 6 MIN
Answer these to add detail
Sentence starters (tap to use)
Student Workspace
Complete the table to find the final ticket cost for each arcade prize after discounts and taxes.
| Prize | Original Price | Discount % | Discount Amount | Price After Discount | 5% Tax | Final Price |
|---|---|---|---|---|---|---|
| Stuffed Bear | 200 tickets | 25% | 50 | 150 | 7.5 | 157.5 |
| LED Keychain | 80 tickets | 10% | ||||
| Foam Dart Gun | 150 tickets | 20% | ||||
| Mini Drone | 400 tickets | 15% | ||||
| Puzzle Set | 60 tickets | 30% |
✏️ Sketch Your Strategy
Differentiation Paths
Step-by-step with a worked model and sentence frames.
A prize costs 120 tickets and is 25% off. What is the sale price?
Core practice aligned to the standard.
Extension with error analysis or multi-step reasoning.
Partner Activity
Work with your partner on the practice problems at your differentiation path level. Explain each step using math vocabulary.
Check for Understanding #4
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Real-World Connection
🌍 Math in the Wild
You want to buy an arcade membership that costs $50. The arcade is running a 30% off sale, and there is a 6% sales tax applied after the discount. Your friend says the total is $37.10.
✍️ Connection Reasoning
Is your friend correct? Show your work to prove it.
First I find the discount: 30% of $50 = $___. The sale price is $50 − $___ = $___. Then I add 6% tax: $___ × 0.06 = $___. The total is $___ + $___ = $___.
Turn & Talk — Connect
An arcade membership is $50, marked 30% off, then 6% tax is added. Your friend says the total is $37.10. Is that right, and how would you prove it?
👂 Listen For
Students compute $15 discount, $35 sale price, $2.10 tax, and $37.10 total, confirming the friend is correct with shown steps.
Extend: Suppose the membership were a tip situation instead: $50 plus a 20% tip. Compare that total to the $37.10 discount-then-tax total and explain why one is so much higher.
CLOSURE & REFLECT
⏱ ~8 min
Today I learned that ___ because ___.
One thing I am still not sure about is ___.
A jacket costs $80 and is 35% off. Sales tax is 5%. What is the final price?
Bonus Exit Check
A prize costs 120 tickets and is 25% off. What is the sale price?
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Reflection & Self-Assessment
Continue Learning
Launch the Full Interactive Activity
Students continue practice in the HTML lesson engine with auto-check, hints, and differentiation.
Family Connection
Share tonight's family homework and discuss one vocabulary word at home.
Open Family Homework ↗Teacher Notes
⏱️ Pacing Guide
- Launch & vocab: 12 min
- I Do / We Do / You Do: 15 min
- Explore & practice: 15 min
- Connect & closure: 8 min
Total: ~45 min
🎯 Listen For · Common Errors
• Students sort discount as lowering price and tax/tip/markup as raising it, and recognize all are a percent of a price.
• Students explain the discount lowers the price first, then tax is applied to that new lower price (e.g., 5% of 72 = 3.6).
• Students compute $15 discount, $35 sale price, $2.10 tax, and $37.10 total, confirming the friend is correct with shown steps.
• Listen for students naming a specific strategy tied to 6.RP.3c — not just "I multiplied." They should connect steps to the key idea.
Common mistake: A common mistake in Use Percent to Solve Problems is skipping the key idea: "Take the discount off first to get the new lower price, then add the tax on that new price." — always check your work against this rule before you submit.
Answer Key (Teacher Appendix)
Hide this slide during presentation or move to the end of your copy.
✓ Practice 1: $37.80 — Markup: $30 × 1.40 = $42. Discount: $42 × 0.10 = $4.20. Final: $42 − $4.20 = $37.80.
✓ Practice 2: $42.00 — Tip: 0.20 × $35 = $7.00. Total: $35 + $7 = $42.00.
✓ Practice 3: 90 tickets — 25% of 120 = 0.25 × 120 = 30. Sale price: 120 − 30 = 90 tickets.
✓ Practice 4: $3.00 — 15% of $20 = 0.15 × 20 = $3.00.
✓ Exit ticket: $54.60 — Discount: 0.35 × $80 = $28. Sale price: $80 − $28 = $52. Tax: 0.05 × $52 = $2.60. Final: $52 + $2.60 = $54.60.