Start here

You did these with your group. Now do them on your own — the model above is yours to copy.

1. 1

   Same stepsFinish what the group started. Use the model above, step for step.

   Try it together — then prove it: 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. Now prove it: say why that move had to work at all — not just that it did.

   Show your work
2. 2

   Warm restartA recipe calls for 2 pounds of apples. How many ounces is that? (1 lb = 16 oz)

   1. A32 ounces
   2. B18 ounces
   3. C8 ounces
   4. D320 ounces

   How do you know?
3. 3

   Warm restartComplete the table: 1 metre = 100 centimetres, so 7 metres = ___ centimetres.

   1. A700
   2. B70
   3. C7,000
   4. D107

   How do you know?
4. 4

   Warm restartWhich conversion factor turns minutes into hours?

   1. A1 hour / 60 minutes
   2. B60 minutes / 1 hour
   3. C1 minute / 60 hours
   4. D60 hours / 1 minute

   How do you know?

You answered these out loud. Now write them.

Answer, then say how you know — the reason is the part that counts.

1. 5

   Think it through4 out of every 10 voters chose the tiger. What percent is that?

   1. A40%
   2. B4%
   3. C10%
   4. D14%

   Why is that the answer?
2. 6

   Think it throughOn a decimal grid of 100 squares, how many squares show 23%?

   1. A23 squares
   2. B2.3 squares
   3. C77 squares
   4. D230 squares

   How do you know? Give a second reason as well.
3. 7

   Think it throughA percent of 150% tells you the amount is…

   1. A1.5 times the whole
   2. BHalf the whole
   3. C150 items
   4. DImpossible

   Explain your thinking. What would have to change for a different choice to be right?
4. 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?

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%

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

1. 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%.
2. 10

   Say moreWhen you wrote percents like 150% and 0.5% as decimals, what did you notice about their size compared to 1?
3. 11

   Write your ownWrite your own problem about this situation, then solve it and show the answer. The situation: The arcade leaderboard shows one player scored 150% of the weekly goal. A rare bonus round adds a 0.5% point boost.

   Show your work

Last check

These two come from Lesson 3.10. If they are shaky, that is the lesson to revisit — not this one.

1. 12

   Show what you knowExplain your thinking — Four out of every ten voters chose the tiger. What percent chose the tiger, and how do you know?

   1. A40%, because 4 out of 10 equals 40 out of 100
   2. B4%, because 4 voters chose the tiger
   3. C10%, because the ratio is out of 10
   4. D14%, because 4 + 10 = 14

   Explain your choice.
2. 13

   From Lesson 3.10Explain your thinking — Which is the correct conversion of 5 yards to inches?

   1. A180 inches
   2. B60 inches
   3. C15 inches
   4. D540 inches

   How do you know?
3. 14

   From Lesson 3.10Will the cabinet fit through the 80-inch doorway?

   1. ANo, because 84 > 80
   2. BYes, because 84 < 80
   3. CYes, because 7 feet is small
   4. DYou cannot tell without the width

   How do you know?

Be honest — this tells your teacher what to do next