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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.

   Let's try together: Let's change 1/5 into a fraction out of 100, then a decimal and a percent. What do we multiply the denominator 5 by to get 100? (20) Now multiply the numerator by that same 20: 1 × 20 = ? (20) So 1/5 = 20/100. 20 out of 100 is what percent? (20%) And as a decimal? (0.2)

   My first step is ___ , because the problem asks for ___ .

   Show your work
2. 2

   Warm restartOn a 100-square grid, 37 squares are shaded. What percent of the grid is shaded?

   1. A37%
   2. B0.37%
   3. C63%
   4. D3.7%
3. 3

   Warm restartPercent means 'per ___'.

   1. A100
   2. B10
   3. C1
   4. D1,000
4. 4

   Warm restartA tape diagram is split into 4 equal parts and 3 parts are shaded. What percent is shaded?

   1. A75%
   2. B34%
   3. C43%
   4. D30%

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 through'3/5 off' means 3 of the 5 equal parts come off the price. Which friend is right?

   1. AThe friend who said 35% off
   2. BThe friend who said 60% off
   3. CBoth are the same amount
   4. DNeither — 3/5 is not a percent

   Why is that the answer?

   I chose ___ because ___ .
2. 6

   Think it throughWrite 3/5 as a decimal.

   1. A0.35
   2. B0.6
   3. C3.5
   4. D0.53

   How do you know?

   I chose ___ because ___ .
3. 7

   Think it throughThe game costs $40 and 3/5 comes off. How much is taken off?

   1. A$14
   2. B$24
   3. C$16
   4. D$35

   Explain your thinking.

   I chose ___ because ___ .
4. 8

   Back to the modelWhat number did you multiply by to turn each denominator into 100, and how did that fraction out of 100 give you the percent?

   I multiplied the top and bottom of ___ by ___ to get ___/100, so the percent is ___%.

Use the words

Fill each blank with a word from the bank.

• Three equivalent ways to name the same part of a whole are ___, ___ and ___.
• A ratio that compares a number to 100, written with a % sign, is a ___.
• A number that uses a point to show parts of a whole is a ___.
• Having the same value but written a different way is being ___.

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 in Relate Fractions, Decimals, and Percents is treating the numerator and denominator as the percent's digits — turning 3/5 into "35%" by just reading the 3 and the 5.
2. 10

   Say moreHow did you turn a fraction like 3/5 into a fraction out of 100, and then into a decimal and a percent?

   To make the denominator of ___ equal 100 I multiplied by ___.
3. 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

Last check

These two come from Lesson 4.1. If they are shaky, that is the lesson to revisit — not this one.

1. 12

   Show what you knowQuick check — you've got this: Which shows 0.45 as a fraction and a percent?

   1. A9/20 and 45%
   2. B45/10 and 4.5%
   3. C4/5 and 45%
   4. D9/20 and 4.5%

   Explain your choice.

   I know it is ___ because ___ .
2. 13

   From Lesson 4.1Quick check — you've got this: 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
3. 14

   From Lesson 4.1A percent of 150% tells you the amount is…

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

Be honest — this tells your teacher what to do next