Lesson 3.23.2 Small Group · Group 1
Start hereWords, worked example, and sentence starters
Learning target With my small group, I can find a unit rate to compare prices and decide the better buy — one step at a time, with support.
Why This Matters This is your support small group for Lesson 3.2. We're going to slow this down and build it together, one step at a time. You can ask a question any time — that's what this group is for.
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. | 96 pages / 3 hours |
| Unit RateSpanish: Tasa unitaria | A rate for just 1 of something, like cost for 1 item. | 32 pages per 1 hour |
| PerSpanish: Por | For each one. Example: 5 dollars per book. | miles per hour, cost per pound |
| 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 |
How it worksWorked example
These numbers are not on your problems. The steps are. Follow them with your own numbers.
A printer prints 90 pages in 6 minutes at a steady rate. How many pages in 7 minutes? How long for 45 pages?
- Divide: 90 ÷ 6 = 15 pages per minute.
- 7 minutes: 15 × 7 = 105 pages.
- 45 pages: 45 ÷ 15 = 3 minutes.
Answer: 105 pages; 3 minutes
Now you trySame steps, your turn
The steps are the same as the worked example. The numbers are yours. Do the work.
A booth charges $4 for 8 games. What is the unit price, the cost for 1 game?
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
- The rate is for every .
- I divided by to find the unit rate.
- The unit rate is per .
- To find the amount for , I .
Word bank rateunit ratepereachdividemultiplyfor everyspeedpredictconstanthourpound
Watch out!A common mistake
A common mistake in Rates and Unit Rates is comparing total costs instead of unit rates: a student sees Pack X at $4.00 for 10 tokens and Pack Y at $6.00 for 16 tokens and picks Pack X just because $4.00 is the smaller number, without dividing to find the cost per token ($0.40 for Pack X vs. $0.375 for Pack Y
Lesson 3.23.2 Small Group · Group 1
Group 1Supported practice
Learning target With my small group, I can find a unit rate to compare prices and decide the better buy — one step at a time, with support.
Why This Matters This is your support small group for Lesson 3.2. We're going to slow this down and build it together, one step at a time. You can ask a question any time — that's what this group is for.
-
1Complete each step, then write the final answer.
Find the cost for 1 game. A booth charges $6 for 4 games. What is the unit price, the cost for 1 game?
- 1What do we divide 4 games by to get 1 game?
- 2Divide $6 by 4 too. What is the cost for 1 game?
- 3Write the unit rate with both units.
Final answer: -
2Complete each step, then write the final answer.
Find the pages for 1 day. Ana reads 36 pages in 4 days. She reads the same number each day. How many pages does she read per day?
- 1What do we divide 4 days by to get 1 day?
- 2Divide 36 pages by 4 too. How many pages?
- 3Write the unit rate with both units.
Final answer: -
3Complete each step, then write the final answer.
A pack of 5 pencils costs $2. What is the cost for 1 pencil?
Show your workHint Divide the cost by the number of pencils.
Final answer: -
4Complete each step, then write the final answer.
Booth C at the fair charges $4.50 for 6 games. What is the unit price?
Show your workHint The unit price is the cost for 1 game. Divide the cost by the games.
Final answer: -
5Complete each step, then write the final answer.
A car travels 150 miles on 5 gallons of gas. How many miles does it travel per gallon?
Show your workHint Per gallon means for 1 gallon. Divide the miles by the gallons.
Final answer: -
6Circle the letter of the best answer. Show how you know.
Compare both booths at 10 games. Booth A charges $4 for 5 games. Booth B charges $6 for 10 games. Which booth is the better buy?
- ABooth B — $0.60 per game
- BBooth A — $0.80 per game
- CBooth A — it costs less in all
- DThey cost the same per game
Hint Find the cost for 1 game at each booth. Then compare.
Show your work
Explain your thinkingBooth A costs less in all. Why can Booth B still be the better buy? Use the unit prices.
Sentence starter To find the unit price, I divide ___ by ___. · Booth ___ is the better buy because ___.