Practice Set · Part 1
Understand Percent
Pick up where we left off
Where we left off
Our goal: With my small group, I can explain a percent as a rate per 100, model it on a decimal grid or tape diagram, and interpret percents greater than 100% — one step at a time, with support.
The big idea: A percent is a ratio comparing a number to 100. The whole is always 100%, so a percent above 100 means MORE than one whole.
Model to copy — Watch me turn a vote into a percent
- Students voted on a mascot, and 4 out of every 10 voters chose the tiger. I want to know how many that is out of 100.
- "4 out of every 10" is a ratio, so I write an equivalent ratio with 100 as the second term. Multiplying both terms by 10 gives 40 out of 100.
- On a decimal grid of 100 squares, I shade 40 squares — one square for each percent.
- 40 out of 100 is written 40%. So 40% of the students voted for the tiger.
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.
Let's do one together: Shanice's gray kitten weighs 4 ounces. The orange kitten weighs 1.5 times as much. What percent of the gray kitten's weight is the orange kitten's weight? The gray kitten is the whole, so its weight is 100%. Draw a tape diagram: one full tape is 100%. The orange kitten needs 1.5 tapes — one whole tape plus half of another. One whole is 100% and half a whole is 50%, so 100% + 50% = 150%. The orange kitten weighs 150% of the gray kitten's weight — more than one whole, which matches it being the heavier kitten.My first step is ___ , because the problem asks for ___ .
Show your work - 2
Warm restartA recipe calls for 2 pounds of apples. How many ounces is that? (1 lb = 16 oz)
- A32 ounces
- B18 ounces
- C8 ounces
- D320 ounces
- 3
Warm restartComplete the table: 1 metre = 100 centimetres, so 7 metres = ___ centimetres.
- A700
- B70
- C7,000
- D107
- 4
Warm restartWhich conversion factor turns minutes into hours?
- A1 hour / 60 minutes
- B60 minutes / 1 hour
- C1 minute / 60 hours
- D60 hours / 1 minute
Practice Set · Part 2
Understand Percent
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 through4 out of every 10 voters chose the tiger. What percent is that?
- A40%
- B4%
- C10%
- D14%
Why is that the answer?
I chose ___ because ___ .
- 6
Think it throughOn a decimal grid of 100 squares, how many squares show 23%?
- A23 squares
- B2.3 squares
- C77 squares
- D230 squares
How do you know?
I chose ___ because ___ .
- 7
Think it throughA percent of 150% tells you the amount is…
- A1.5 times the whole
- BHalf the whole
- C150 items
- DImpossible
Explain your thinking.
I chose ___ because ___ .
- 8
Back to the modelA friend says "a percent can never be more than 100, because you cannot have more than all of something." How would you answer using the mascot vote and the kittens?
A percent compares a number to ___, so ___% just means the amount is ___ than the whole it is compared to.
Sort it again — on paper this time
Write the letter of the group each one belongs in.
- 40%
- 100%
- 150%
- 23%
- 100 out of 100
- 300%
- 0.5%
- 250%
Practice Set · Part 3
Understand Percent
Words and reasoning
Word bank · Banco de palabras
Use the words
Fill each blank with a word from the bank.
- A ratio comparing a number to 100 is a ___.
- The word that means “per hundred” is ___.
- The meaning hidden inside the word percent is ___ ___.
- A 10-by-10 grid of 100 squares used to show a percent is a ___ ___.
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 with percent is scaling only one term of the ratio: reading 7 out of 10 as 7%. - 10
Say moreWhen you wrote percents like 150% and 0.5% as decimals, what did you notice about their size compared to 1?
150% as a decimal is ___ because ___.
- 11
Change one numberGo back to Part 1 and pick one problem you already solved. Change one number in it, then solve your new version. Show every step.
If ___ changed to ___ , then ___ .
Show your work
Practice Set · Part 4
Understand Percent
Show what you know
Last check
These two come from Lesson 3.10. If they are shaky, that is the lesson to revisit — not this one.
- 12
Show what you knowQuick check — you've got this: Four out of every ten voters chose the tiger. What percent chose the tiger, and how do you know?
- A40%, because 4 out of 10 equals 40 out of 100
- B4%, because 4 voters chose the tiger
- C10%, because the ratio is out of 10
- D14%, because 4 + 10 = 14
Explain your choice.
I know it is ___ because ___ .
- 13
From Lesson 3.10Quick check — you've got this: Which is the correct conversion of 5 yards to inches?
- A180 inches
- B60 inches
- C15 inches
- D540 inches
- 14
From Lesson 3.10Will the cabinet fit through the 80-inch doorway?
- ANo, because 84 > 80
- BYes, because 84 < 80
- CYes, because 7 feet is small
- DYou cannot tell without the width
Be honest — this tells your teacher what to do next
| I can… | Not yet | Getting there | Got it |
|---|---|---|---|
| I can explain a percent as a rate per 100, model it on a decimal grid or tape diagram, and interpret percents greater than 100% — one step at a time, with support. | |||
| I can explain why it works: A percent is a ratio comparing a number to 100. The whole is always 100%… | |||
| I can talk through each step out loud using a sentence frame and the lesson's key words. |
One question I want to ask my group next time