Practice Set · Part 1
Find and Compare with Percentages
Pick up where we left off
Where we left off
Our goal: I can find the percent of a number using an equation or a model, explain what each part stands for, and build one for a situation I have not seen before.
The big idea: Write the percent as a decimal (move the point 2 places left), then multiply it by the base: part = percent × base — and you can say why it is true, and where it would stop being true.
Model to copy — Watch me
- The claw machine costs 60 tickets, and it is 25% off. I need 25% of 60.
- Step 1 — find the base (the whole): the number after “of” is 60.
- Step 2 — the percent as a decimal: 25% means 25 out of 100, so 25 ÷ 100 = 0.25.
- Step 3 — multiply: 0.25 × 60 = 15.
- The discount is 15 tickets. Check: 15 is about a quarter of 60, so that makes sense.
Start here
You did these with your group. Now do them on your own — the model above is yours to copy.
- 1
Same stepsFinish what the group started. Use the model above, step for step.
Try it together — then prove it: Find 40% of 80. Step 1 — what is the base? (80, the number after “of”) Step 2 — 40% as a decimal? (40 ÷ 100 = 0.40) Step 3 — multiply: 0.40 × 80 = ? (32) Does 32 make sense? 40% is a little less than half, and half of 80 is 40. ✓ Now prove it: say why that move had to work at all — not just that it did.Show your work - 2
Warm restartWhich benchmark percent is closest to 9%?
- A10%
- B1%
- C25%
- D50%
How do you know?
- 3
Warm restartEstimate 24% of 80 using a benchmark percent.
- Aabout 20
- Babout 24
- Cabout 40
- Dabout 8
How do you know?
- 4
Warm restartA jacket costs $39.75. Estimate a 20% discount.
- Aabout $8
- Babout $4
- Cabout $20
- Dabout $2
How do you know?
Practice Set · Part 2
Find and Compare with Percentages
Keep going
You answered these out loud. Now write them.
Answer, then say how you know — the reason is the part that counts.
- 5
Think it throughWhat is 12% written as a decimal?
- A0.12
- B1.2
- C12
- D0.012
Why is that the answer?
- 6
Think it throughWhat is 12% of 1,500 tickets?
- A180
- B18
- C1.8
- D1,800
How do you know? Give a second reason as well.
- 7
Think it throughCheck with a benchmark: what is 10% of 1,500?
- A150
- B15
- C1.5
- D100
Explain your thinking. What would have to change for a different choice to be right?
- 8
Back to the modelWhat steps do you follow every time you find the percent of a number?
Practice Set · Part 3
Find and Compare with Percentages
Words and reasoning
Word bank · Banco de palabras
Use the words
Fill each blank with a word from the bank.
- A part found by multiplying a number by a percent in decimal form is the ___ ___ ___ ___.
- A number out of 100 is a ___.
- The whole amount you start with, right after the word “of,” is the ___.
- The amount you get out of the whole is the ___.
Explain the thinking
- 9
Find the mistakeAnother student made this exact mistake in this lesson. Explain why it is wrong, then write what they should have done.
The mistake: A common mistake in Find the Percent of a Number is multiplying by the percent number itself instead of its decimal form — for example, finding 30% of 80 by computing 30 × 80 = 2,400 instead of 0. - 10
Say moreWhat steps did you follow every time to find the percent of a number in the discount table?
- 11
Write your ownWrite your own problem about this situation, then solve it and show the answer. The situation: Five phone battery icons are lined up in order. The first is full at 5 bars out of 5, and each one after it has one fewer bar. The last icon has 1 bar left, and the caption says about 1 hour remains.
Show your work
Practice Set · Part 4
Find and Compare with Percentages
Show what you know
Last check
These two come from Lesson 4.3. If they are shaky, that is the lesson to revisit — not this one.
- 12
Show what you knowExplain your thinking — What is 45% of 360?
- A162
- B45
- C315
- D180
Explain your choice.
- 13
From Lesson 4.3Explain your thinking — Estimate 19% of 412 using benchmarks or compatible numbers.
- AAbout 80
- BAbout 8
- CAbout 200
- DAbout 40
How do you know?
- 14
From Lesson 4.3Photos take up 3.5 of the 4 GB of used storage. About what percent of the used storage is photos?
- AAbout 87%
- BAbout 58%
- CAbout 35%
- DAbout 99%
How do you know?
Be honest — this tells your teacher what to do next
| I can… | Not yet | Getting there | Got it |
|---|---|---|---|
| I can find the percent of a number using an equation or a model, explain what each part stands for, and build one for a situation I have not seen before. | |||
| I can explain why it works: Write the percent as a decimal (move the point 2 places left)… | |||
| I can justify my answer to a skeptic and connect it to a second strategy or representation. |
One question I want to ask my group next time