Find the Percent of a Number
I can find the percent of a number using an equation or a model.
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🎯 Content Objective / Objetivo de contenido
I can find the percent of a number using an equation or a model.
Today's Flow
Total pacing: ~45 min · Progress bar at top tracks your place
LAUNCH
⏱ ~10 min
⏱️ 3 MIN · THINK-PAIR-SHARE
On Discount Day the claw machine is 25% off its 60-ticket price. In '25% of 60,' which number is the base (the whole), and what part are you trying to find?
Check for Understanding #1
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Arcade Builder Challenge
It's Discount Day at the arcade! Different games are offering percent-off deals on ticket prices. The claw machine is 25% off its usual 60-ticket price, and the racing game is 40% off 80 tickets. You need to calculate the discounts to figure out how many tickets each game actually costs!
Concept Launch
💡 How do I find the percent of a number?
The base is the whole amount. The part is the piece you get when you take a percent of the base. The word "of" tells you to multiply.
To find the part, change the percent to a decimal, then multiply: part = percent × base.
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 |
|---|---|---|---|
| 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 %. |
30% means 30 out of 100 | |
| Base Base (el todo) |
The whole amount you take a percent of. La cantidad total de la que sacas un porcentaje. |
In '25% of 80,' the base is 80 | |
| Part Parte |
The piece you get when you take a percent of a number. La parte que obtienes al sacar un porcentaje de un número. |
25% of 80 = 20; the part is 20 | |
| Equation Ecuación |
A math sentence with an equal sign showing both sides are the same. Una oración matemática con un signo igual que muestra que ambos lados son iguales. |
part = percent × base | |
| Discount Descuento |
Money taken off the first price to make it cheaper. Dinero que se quita del precio original para que sea más barato. |
$40 shirt at 25% off: discount = $10 |
Which Word Fits?
A number out of 100 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
On Discount Day the claw machine is 25% off its 60-ticket price. In '25% of 60,' which number is the base (the whole), and what part are you trying to find?
👂 Listen For
Students identify 60 as the base, the 25% discount as the part to find, and connect 'of' to the base.
Extend: Without computing exactly, will the discount be more or less than half of 60? Use a benchmark to estimate and explain.
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
Find the percent of each number. Use the equation: Part = Percent × Base. Convert the percent to a decimal first.
✍️ Explore Discourse
What steps do you follow every time you find the percent of a number?
Whiteboard Moment
Show your work clearly. Be ready to explain your thinking to a partner.
Turn & Talk — Explore
What steps did you follow every time to find the percent of a number in the discount table?
👂 Listen For
Students describe the equation part = percent x base, converting the percent to a decimal first (e.g., 0.40 x 80 = 32).
Extend: Compare finding 25% of 60 with the decimal 0.25 versus dividing 60 into 4 equal parts. Why do both methods give the same part?
Practice Check A
An arcade prize costs 240 tickets. If you have a coupon for 15% off, how many tickets do you save?
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Practice Check B
A student scored 72 out of 90 on a test. What percent did they score?
✍️ 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
Each arcade game shows a percent of a number. Sort each one into the correct result bin.
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: "To find the part, change the percent to a decimal, then multiply: part = percent × base." — and it works because ___.
Because Percent means ___, but a tricky part is ___, so I have to ___.
A common mistake with Percent is ___. It happens because ___, and the fix is ___.
I can prove my answer is correct by ___, using Base to check my work.
✍️ TWR · WRITE 3 SENTENCES · 7 MIN
To find the part, change the percent to a decimal, then multiply: part = percent × base. because ___
To find the part, change the percent to a decimal, then multiply: part = percent × base. but ___
To find the part, change the percent to a decimal, then multiply: part = percent × base. so ___
🌱 TWR · GROW THE KERNEL · 6 MIN
Answer these to add detail
Sentence starters (tap to use)
Student Workspace
Find the percent of each number. Use the equation: Part = Percent × Base. Convert the percent to a decimal first.
| Game | Original Tickets | Discount % | Discount as Decimal | Discount Amount |
|---|---|---|---|---|
| Claw Machine | 60 | 25% | 0.25 | 15 |
| Racing Game | 80 | 40% | ||
| Skee-Ball | 50 | 30% | ||
| Air Hockey | 120 | 15% | ||
| Dance Pad | 90 | 20% | ||
| Pinball | 200 | 5% |
✏️ Sketch Your Strategy
Differentiation Paths
Step-by-step with a worked model and sentence frames.
What is 20% of 150?
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
The arcade is donating 12% of Saturday's ticket sales to charity. They sold 1,500 tickets on Saturday. The manager says they will donate 180 tickets. A student says it should be 18 tickets.
✍️ Connection Reasoning
Who is correct, and how do you know?
The ___ is correct because 12% of 1,500 = ___ × 1,500 = ___. The mistake was ___.
Turn & Talk — Connect
The arcade donates 12% of Saturday's 1,500 ticket sales. The manager says 180 tickets, a student says 18. Who is right, and how do you know?
👂 Listen For
Students compute 0.12 x 1,500 = 180 and explain the student likely used 0.012 (divided by 1,000) instead of 0.12.
Extend: Estimate first: 10% of 1,500 is easy to find. Use that to check whether 180 is reasonable for 12%, and explain your reasoning.
CLOSURE & REFLECT
⏱ ~8 min
Today I learned that ___ because ___.
One thing I am still not sure about is ___.
What is 45% of 360?
Bonus Exit Check
What is 20% of 150?
✍️ 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 identify 60 as the base, the 25% discount as the part to find, and connect 'of' to the base.
• Students describe the equation part = percent x base, converting the percent to a decimal first (e.g., 0.40 x 80 = 32).
• Students compute 0.12 x 1,500 = 180 and explain the student likely used 0.012 (divided by 1,000) instead of 0.12.
• 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 Find the Percent of a Number is skipping the key idea: "To find the part, change the percent to a decimal, then multiply: part = percent × base." — 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: 36 tickets — 15% of 240 = 0.15 × 240 = 36 tickets saved.
✓ Practice 2: 80% — 72 ÷ 90 = 0.80 = 80%.
✓ Practice 3: 30 — 20% = 0.20. Multiply: 0.20 × 150 = 30.
✓ Practice 4: 42 — 50% = 0.50. Multiply: 0.50 × 84 = 42. (Or simply divide by 2: 84 ÷ 2 = 42.)
✓ Exit ticket: 162 — 45% = 0.45. Multiply: 0.45 × 360 = 162.