Find and Compare with Percentages

Calculate the percent of a number and compare quantities using percent reasoning.

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 is 20% of 50?
Strategy: To find the percent of a number, convert the percent to a decimal and multiply. 20% = 0.20. So 0.20 × 50 = ?
✓Correct! 20% of 50 = 0.20 × 50 = 10.
✗20% = 0.20. Multiply: 0.20 × 50 = 10 (answer B).
Warm-Up 2
True or false: 30% of 40 is greater than 40% of 30.
Hint: Calculate both. 30% of 40 = 0.30 × 40 = 12. 40% of 30 = 0.40 × 30 = 12. Are they the same or different?
✓Correct! Both equal 12, so the statement is false -- they are equal, not greater.
✗30% of 40 = 12 and 40% of 30 = 12. They are equal, so the statement is false.
P

Practice

5 questions
Practice 1
Find 35% of 200.
Method: Convert to a decimal: 35% = 0.35. Multiply: 0.35 × 200 = ? Or use a proportion: 35/100 = ?/200.
35% of 200 =
Show your work:

Sentence frame: "35% of 200 = 0.35 × 200 = ___."

✓Correct! 0.35 × 200 = 70.
✗35% = 0.35. 0.35 × 200 = 70.
Practice 2
A class has 30 students. 60% passed the test. How many students passed?
Strategy: Find the percent of a number. 60% of 30 = 0.60 × 30 = ?
Show your calculation:

Sentence frame: "60% of 30 = 0.60 × 30 = ___. So ___ students passed."

✓Correct! 0.60 × 30 = 18. So 18 students passed.
✗0.60 × 30 = 18 students (answer C).
Practice 3
Match each percent calculation to its answer.
Method: Convert each percent to a decimal, then multiply. Compare your results.
12
45
16
35
25% of 48 =
75% of 60 =
40% of 40 =
50% of 70 =
✓All correct! 25% of 48 = 12, 75% of 60 = 45, 40% of 40 = 16, 50% of 70 = 35.
✗Some matches are wrong. Recalculate: 25% of 48 = 12, 75% of 60 = 45, 40% of 40 = 16, 50% of 70 = 35.
Practice 4
Calculate each percent of a number.
Steps: Convert percent to decimal, then multiply. Use proportion reasoning if it helps: percent / 100 = part / whole.
a. 15% of 60 =
b. 80% of 25 =
c. 5% of 300 =

Sentence frame: "___% of ___ = ___ because I multiplied ___ × ___ = ___."

✓All correct! 15% of 60 = 9, 80% of 25 = 20, 5% of 300 = 15.
✗Check: 0.15 × 60 = 9, 0.80 × 25 = 20, 0.05 × 300 = 15.
Practice 5
Team A won 18 out of 24 games. Team B won 15 out of 20 games. Which team has a higher winning percentage?
Strategy: Compare by converting to percents. Team A: 18/24 = ?%. Team B: 15/20 = ?%. To convert, divide and multiply by 100.
Show how you compared:

Sentence frame: "Team A won ___/24 = ___%. Team B won ___/20 = ___%. Since ___% = ___%, they are ___."

✓Correct! Team A: 18/24 = 75%. Team B: 15/20 = 75%. They are equal at 75%.
✗18 ÷ 24 = 0.75 = 75%. 15 ÷ 20 = 0.75 = 75%. They are equal (answer D).
★

Challenge

1 question
Challenge
A store sells two brands of juice. Brand X: 120 mL of juice in a 150 mL bottle. Brand Y: 200 mL of juice in a 250 mL bottle. Which brand has a higher percent of actual juice?
Strategy: Find the percent of a number for each. Brand X: 120/150 × 100 = ?%. Brand Y: 200/250 × 100 = ?%. Then compare.
Show your percent calculations:

Sentence frame: "Brand X: ___/150 = ___%. Brand Y: ___/250 = ___%. Since both are ___%, they are ___."

✓Correct! Brand X: 120/150 = 80%. Brand Y: 200/250 = 80%. They are equal.
✗120 ÷ 150 = 0.80 = 80%. 200 ÷ 250 = 0.80 = 80%. They are equal (answer C).