Understand Percent

Interpret percent as a rate per 100 and connect percents to visual models like 100-grids.

6.AT.A.3c · Understand & Use Percentages
Level
Guided practice with vocabulary support

🟠 Level 0 — Extra Support

Sentence starters: “First, I…” · “The answer is… because…” · “I know this because…”
W

Warm-Up

2 questions
Warm-Up 1
What does percent mean?
Vocabulary: The word percent comes from the Latin words meaning "per" (for each) and "cent" (hundred). So percent literally means per 100.
✓Correct! Percent means "per 100." For example, 25% means 25 out of every 100.
✗Not quite. "Percent" literally means "per hundred." The answer is B: Per 100.
Warm-Up 2
A 100-grid has 40 squares shaded. What percent of the grid is shaded?
Hint: A 100-grid has exactly 100 squares. Each shaded square represents 1%. Count the shaded squares to find the percent.
✓Correct! 40 out of 100 squares are shaded, so 40% of the grid is shaded.
✗Each square in a 100-grid equals 1%. If 40 squares are shaded, that is 40% (answer C).
P

Practice

5 questions
Practice 1
Write 75% as a fraction with a denominator of 100.
Remember: Percent means out of 100. So 75% = 75 out of 100. Write it as a fraction: ___ / 100.
/ 100
Explain your reasoning:

Sentence frame: "75% means ___ out of 100, so the fraction is ___/100."

✓Correct! 75% = 75/100. The percent tells you the numerator when the denominator is 100.
✗Since percent means "per 100," 75% is simply 75/100.
Practice 2
A store has 100 apples. If 15% of the apples are green, how many green apples are there?
Strategy: 15% means 15 out of every 100. Since there are exactly 100 apples, 15% of 100 = 15.
Show your work:

Sentence frame: "15% means ___ per 100. Since there are 100 apples, there are ___ green apples."

✓Correct! 15% of 100 = 15 green apples.
✗15% means 15 per 100. With exactly 100 apples, there are 15 green apples (answer B).
Practice 3
Sort each value into the correct percent category based on the 100-grid model.
Remember: Percent = parts per 100. A value less than 100% means less than all of the grid. Equal to 100% means the entire grid. Greater than 100% means more than one full grid.
25%
100%
150%
73%
200%
8%
Less than 100%
Equal to 100%
Greater than 100%
✓All correct! 25%, 73%, and 8% are less than 100%. 100% equals a full grid. 150% and 200% are more than 100%.
✗Some items are in the wrong group. Think about whether each percent is less than, equal to, or greater than one full 100-grid.
Practice 4
Fill in each blank to express the percent as hundredths.
Key idea: Percent means hundredths. So 30% = 30 hundredths = 0.30. Write the number of hundredths for each.
a. 50% = hundredths
b. 7% = hundredths
c. 100% = hundredths

Sentence frame: "___% means ___ hundredths because percent means per 100."

✓All correct! 50% = 50 hundredths, 7% = 7 hundredths, 100% = 100 hundredths.
✗Remember: the percent number IS the number of hundredths. 50% = 50 hundredths, 7% = 7 hundredths, 100% = 100 hundredths.
Practice 5
Marcus says that 110% is impossible because you can never have more than 100%. Is he correct?
Think about it: Can you shade more than one full 100-grid? If you shade all 100 squares and then 10 more squares on a second grid, that is 110 out of 100, or 110%.
Explain Marcus's error:

Sentence frame: "Marcus is incorrect because percents ___ than 100% are possible. 110% means ___ out of 100, which is more than ___."

✓Correct! Percents greater than 100% are possible. 110% means 110 out of 100, or more than one whole.
✗Marcus is wrong. Percents can be greater than 100%. 110% means 110 per 100 -- more than one whole. The answer is B.
★

Challenge

1 question
Challenge
A school survey shows that 63 out of 100 students prefer pizza for lunch. Another survey of 200 students at a different school finds that 130 prefer pizza. Which school has a higher percent of pizza fans? Explain your reasoning.
Strategy: For the first school, 63 out of 100 = 63%. For the second school, find the rate per 100: 130 out of 200. To convert to percent, think: 200 is 2 groups of 100, so divide 130 by 2 to find how many per 100.
Explain how you compared the percents:

Sentence frame: "The first school has ___%. The second school has 130 out of 200 = ___%. Since ___% is greater, the ___ school has more pizza fans."

✓Correct! 130 / 200 = 65%, which is greater than 63%. The second school has the higher percent of pizza fans.
✗Convert 130/200 to a percent: 130 ÷ 2 = 65 per 100, so 65%. Since 65% > 63%, the second school has more pizza fans (answer B).