Lesson 3.83.8 · 3.10 · 4.4 · 4.5 Catch-Up
Start hereWords, worked example, and sentence starters
Learning target I can show I am caught up on Lessons 3.8 · 3.10 · 4.4 · 4.5 by using each lesson's big idea in mixed practice.
Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 3.8 · 3.10 · 4.4 · 4.5: 3.8 Solve Problems with Unit Rates, 3.10 Convert Measurement Units, 4.4 Find and Compare with Percentages, 4.5 Determine the Whole Given the Part and Percent. Work one example from each lesson, then prove you're caught up in the mixed practice.
Start hereWords for this lesson
Read each word before you begin. Say it out loud.
| Word | What it means | Example |
|---|---|---|
| Unit RateSpanish: Tasa unitaria | A rate for just 1 of something, like cost for 1 item. | $2.50 per pound means $2.50 for every 1 pound |
| Better BuySpanish: Mejor compra | The choice that costs less for each item. | $0.10 each vs $0.15 each — the $0.10 option is the better buy |
| ComparisonSpanish: Comparación | Looking at two or more amounts to see how they are related. | $3 per game < $4 per game |
| Per UnitSpanish: Por unidad | For each single item. | $0.50 per token means each token costs $0.50 |
| RateSpanish: Tasa | A ratio comparing two amounts with different units, like miles per hour. | 120 miles in 3 hours is a rate (miles and hours are different units) |
| ProportionSpanish: Proporción | A math sentence saying two ratios are equal. It helps find a missing number. | 5/3 = x/12 → x = 20 |
How it worksWorked example
These numbers are not on your problems. The steps are. Follow them with your own numbers.
Fun Supply Co. sells 500 tokens for $60. What is the cost for 1 token?
- Write the deal in the table: 500 tokens : $60
- Divide both numbers by 500: 500 ÷ 500 = 1; $60 ÷ 500 = $0.12
- Write the unit price: $0.12 per token
- The cost is $0.12 per token.
- A cabinet is 5 feet tall. How many inches tall is the cabinet?
- Write the conversion fact in the table: 1 foot : 12 inches
- Find the scale factor: 5 ÷ 1 = 5
- Multiply the inches by 5: 12 × 5 = 60
- The cabinet is 60 inches tall.
- Find 40% of 80.
- Write 100% and the whole in the first column: 100% : 80
- Divide both by 5 to find 20%: 80 ÷ 5 = 16
- Multiply both by 2 to reach 40%: 16 × 2 = 32
- 40% of 80 is 32.
- $42 is 60% of the original price. What was the original price?
- Write the part and its percent in the first column: 60% : 42
- Divide both by 6 to find 10%: 42 ÷ 6 = 7
- Multiply both by 10 to reach 100%: 7 × 10 = 70
- Check that the whole is more than the part: 70 > 42
- The original price was $70.
Now you trySame steps, your turn
The steps are the same as the worked example. The numbers are yours. Do the work.
A store sells 20 tokens for $5. What is the cost for 1 token, in dollars?
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
- If the percent is less than 100%, the given number is a , so the whole must be than it.
Word bank Unit RateBetter BuyComparisonPer UnitRateProportionpartwholebiggersmaller100%percent
Watch out!A common mistake
A common mistake when finding the whole is multiplying by the percent instead of dividing. For "$42 is 60% of the original price," computing 0.6 × 42 = $25.20 makes the original price SMALLER than the sale price
Lesson 3.83.8 · 3.10 · 4.4 · 4.5 Catch-Up
Catch-UpSkill bridge
Learning target I can show I am caught up on Lessons 3.8 · 3.10 · 4.4 · 4.5 by using each lesson's big idea in mixed practice.
Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 3.8 · 3.10 · 4.4 · 4.5: 3.8 Solve Problems with Unit Rates, 3.10 Convert Measurement Units, 4.4 Find and Compare with Percentages, 4.5 Determine the Whole Given the Part and Percent. Work one example from each lesson, then prove you're caught up in the mixed practice.
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1Complete each step, then write the final answer.
6 apples cost $3. What is the cost for 1 apple?
Show your workHint Divide the price by the number of apples: $3 ÷ 6.
Final answer: -
2Complete each step, then write the final answer.
Shop A sells 2 pens for $3. Shop B sells 5 pens for $6. Which shop has the lower cost for 1 pen?
Show your workHint Find the cost for 1 pen at each shop. Then compare.
Final answer: -
3Complete each step, then write the final answer.
There are 3 feet in 1 yard. How many feet are in 7 yards?
Show your workHint The scale factor from 1 yard to 7 yards is 7. Multiply the feet by 7.
Final answer: -
4Complete each step, then write the final answer.
There are 100 centimeters in 1 meter. How many centimeters are in 6 meters?
Show your workHint The scale factor from 1 meter to 6 meters is 6. Multiply the centimeters by 6.
Final answer: -
5Complete each step, then write the final answer.
Find 50% of 26.
Show your workHint Put 100% and 26 in the first column. What do you divide 100 by to get 50?
Final answer: -
6Complete each step, then write the final answer.
A book costs $20. It is 10% off. How many dollars do you save?
Show your workHint Put 100% and 20 in the first column. What do you divide 100 by to get 10?
Final answer: -
7Complete each step, then write the final answer.
$5 is 50% of what amount?
Show your workHint Put 50% and 5 in the first column. What scale factor takes 50% to 100%?
Final answer: -
8Complete each step, then write the final answer.
6 is 25% of what number?
Show your workHint Put 25% and 6 in the first column. What scale factor takes 25% to 100%?
Final answer:
Explain your thinkingHow can you tell, before doing any arithmetic, whether the answer should be bigger or smaller than the number you were given?
Sentence starter If the percent is less than 100%, the given number is a ___, so the whole must be ___ than it.