Lesson 3.23.2 · Section 3
Start hereWords, worked example, and sentence starters
Learning target I can write a comparison as a fraction, divide to find the unit rate, and use the unit rates to decide which option is the better value.
Start hereWords for this lesson
Read each word before you begin. Say it out loud.
| Word | What it means | Example |
|---|---|---|
| Rates and Unit RatesSpanish: Tasas y tasas unitarias | A rate compares different units; a unit rate compares a quantity to 1 unit. | 180 miles in 3 hours = 60 miles per 1 hour. |
| RateSpanish: Tasa | A ratio comparing two amounts with different units, like miles per hour. | $12 for 4 games is a rate |
| Unit RateSpanish: Tasa unitaria | A rate for just 1 of something, like cost for 1 item. | $3 per 1 game |
| PerSpanish: Por | For each one. Example: 5 dollars per book. | 60 miles per hour means 60 miles for every 1 hour |
| RatioSpanish: Razón | A way to compare two amounts, like 3 to 2. | 5 to 3 or 5:3 |
| Unit priceSpanish: Precio unitario | A unit rate that gives the cost of exactly 1 item, like $0.60 per game. | $3 for 5 games → $0.60 per 1 game |
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
Word bank Rates and Unit RatesRateUnit RatePerRatioUnit price
Watch outA common mistake
Two essential things to watch: First, always divide Top by Bottom (Cost ÷ Amount) so you find dollars per item. If you flip it upside down (3 ÷ 15), you find items per dollar instead. Second, the rate is originally over 1 (5/1 = $5 for 1 ticket), but we do NOT keep the 1 in everyday writing — we drop the 1 and write '$5 per ticket'. Finally, never decide from the total price alone: $15 for 3 tickets is $5 each, while $20 for 5 tickets is $4 each, making $20 the better value.
Lesson 3.23.2 · Section 3
Apply Day · Version ASupported practice
Learning target I can write a comparison as a fraction, divide to find the unit rate, and use the unit rates to decide which option is the better value.
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1Complete the table. Show how you found each value.
Movie tickets. Theater A sells 3 tickets for $15. Theater B sells 5 tickets for $20. Write each ratio as a fraction, then divide to find the unit rate.
Option Total Cost Amount Ratio as a Fraction Unit Rate Theater A $15 3 tickets Theater B $20 5 tickets Hint The fraction is total cost over amount: dollars on top, tickets on the bottom.
Show your work
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2Circle the letter of the best answer. Show how you know.
A small popcorn costs $3.60 for 12 ounces. A medium popcorn costs $5.00 for 20 ounces. Which size is the better value?
- AThe medium, at $0.25 per ounce
- BThe small, at $0.30 per ounce
- CThe small, because $3.60 is less than $5.00
- DThey are the same value per ounce
Hint Write each one as a fraction first: 3.60/12 and 5.00/20.
Show your work -
3Circle the letter of the best answer. Show how you know.
Store A sells 3 T-shirts for $48. What is the unit rate in dollars per shirt?
- A$16 per shirt
- B$45 per shirt
- C$144 per shirt
- D$0.06 per shirt
Hint Write the ratio as a fraction: 48/3.
per 1 - 1LabelWrite what each column is.
- 2Find per 1Divide to get one.
- 3ScaleMultiply up to what is asked.
- 4CheckDoes the size make sense?
Lesson 3.23.2 · Section 3
Apply Day · Version BCore practice
Learning target I can write a comparison as a fraction, divide to find the unit rate, and use the unit rates to decide which option is the better value.
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1Complete the table. Show how you found each value.
Laundry detergent. Tide costs $12.16 for 64 loads. Gain costs $21.00 for 100 loads. Fill in the unit rate for each brand, rounded to the nearest cent.
Option Total Cost Amount Ratio as a Fraction Unit Rate Tide $12.16 64 loads 12.16/64 Gain $21.00 100 loads 21.00/100 Show your work
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2Circle the letter of the best answer. Show how you know.
McDonald's sells 11 hamburgers for $14.19. Wendy's sells 2 hamburgers for $5.98. Which restaurant is the better value per hamburger?
- AMcDonald's, at $1.29 per hamburger
- BWendy's, at $2.99 per hamburger
- CWendy's, because $5.98 is less than $14.19
- DYou cannot compare them — the amounts are different
Show your work -
3Circle the letter of the best answer. Show how you know.
Store A sells 3 candy bars for $3.45. Store B sells 5 candy bars for $5.45. Which store is the better value?
- AStore B, at $1.09 per candy bar
- BStore A, at $1.15 per candy bar
- CStore A, because $3.45 is the smaller total
- DStore B, because it sells more candy bars
Show your work
Lesson 3.23.2 · Section 3
Apply Day · ChallengeExtension
Learning target I can write a comparison as a fraction, divide to find the unit rate, and use the unit rates to decide which option is the better value.
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1Circle the letter of the best answer. Show how you know.
A McDonald's hamburger costs $1.29 for 4.3 ounces of meat. A Wendy's hamburger costs $2.99 for 6.5 ounces. Which is the better value per ounce?
- AMcDonald's, at about $0.30 per ounce
- BWendy's, at about $0.46 per ounce
- CWendy's, because it has more meat
- DMcDonald's, because $1.29 is the smaller price
Show your work -
2Circle the letter of the best answer. Show how you know.
Two students compare Theater A (3 tickets for $15) and Theater B (5 tickets for $20). Maya says Theater A is the better value because $15 is less than $20. What is wrong with Maya's reasoning?
- AShe compared totals for different numbers of tickets instead of the cost of one ticket
- BShe divided 15 by 3 instead of 3 by 15
- CShe should have added the two prices together
- DNothing is wrong — the smaller total price is always the better value
Show your work
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3Answer in complete sentences.
A store offers the same juice in two sizes: 12 ounces for $2.88 and 18 ounces for $4.14. Find both unit rates in dollars per ounce, decide which is the better value, and explain how you know.
Write your answer