Lesson 6.16.1 Small Group · Group 1
Start hereWords, worked example, and sentence starters
Learning target With my small group, I can use models to divide a whole number by a fraction and a fraction by a whole number — one step at a time, with support.
Why This Matters This is your support small group for Lesson 6.1. 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 |
|---|---|---|
| DividendSpanish: Dividendo | The total number being divided into equal groups (the number inside the division bracket). | In 8 ÷ 1/2, 8 is the dividend. |
| DivisorSpanish: Divisor | The number of equal groups you are dividing into (the number outside the division bracket). | In 8 ÷ 1/2, 1/2 is the divisor. |
| QuotientSpanish: Cociente | The answer when you divide. | 8 ÷ 1/2 = 16 is the quotient. |
| ReciprocalSpanish: Recíproco | A fraction turned upside down. | 1/4 → 4/1 |
| Unit fractionSpanish: Fracción unitaria | A fraction with 1 on top, like 1/4. | 1/3, 1/8, 1/10 |
| Multiplicative inverseSpanish: Inverso multiplicativo | Two numbers whose product is 1; each is the reciprocal of the other. | 4 and 1/4 · 2/3 and 3/2 |
How it worksWorked example
These numbers are not on your problems. The steps are. Follow them with your own numbers.
A cook has 4 cups of broth. How many 1/3-cup servings can she pour?
- Write the division: 4 ÷ 1/3.
- Keep 4, change ÷ to ×, flip 1/3 to 3: 4 × 3 = 12.
- Check: 12 × 1/3 = 4 cups.
Answer: 12 servings
Now you trySame steps, your turn
The steps are the same as the worked example. The numbers are yours. Do the work.
Find 2 ÷ 1/3. How many thirds fit in 2 wholes?
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
- To divide by a fraction, I multiply by its .
- I wrote over 1 so both numbers are fractions.
- The quotient is because that many groups fit inside.
- Dividing by a fraction smaller than one whole makes the quotient .
Word bank reciprocalquotientdividenddivisorunit fractionkeepchangeflipmultiplygroupsfit insidelarger
Watch out!A common mistake
A common mistake in Interpret Division of Fractions is assuming that dividing always makes the answer smaller. For 4 ÷ 1/3, students reason 'dividing shrinks the number' and compute 4 ÷ 3 ≈ 1.3 instead of asking how many 1/3-foot pieces fit into 4 feet (each whole foot holds 3 thirds, so 4 × 3 = 12). Before you submit, check: if the divisor is a fraction smaller than 1, the quotient must be BIGGER than the dividend, not smaller.
Lesson 6.16.1 Small Group · Group 1
Group 1Supported practice
Learning target With my small group, I can use models to divide a whole number by a fraction and a fraction by a whole number — one step at a time, with support.
Why This Matters This is your support small group for Lesson 6.1. 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.
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1Complete each step, then write the final answer.
Find 3 ÷ 1/2.
Show your workHint Write 3 as 3/1. Then keep, change, flip.
Final answer: -
2Complete each step, then write the final answer.
Find 3/5 ÷ 2.
Show your workHint Write 2 as 2/1. Flip only the number you divide by.
Final answer:
-
3Complete each step, then write the final answer.
Each foot holds 3 pieces. A rope is 3 feet long. You cut it into pieces that are 1/3 foot long. How many pieces do you get? Find 3 ÷ 1/3.
- 1Put a 1 under the whole number. What do you get?
- 2Keep, Change, Flip. What is the new problem?
- 3Multiply the tops. Multiply the bottoms. How many pieces?
Final answer: -
4Complete each step, then write the final answer.
Split 25 into 3 equal pieces. Ana has 2/5 yard of ribbon. She cuts it into 3 equal pieces. How long is each piece? Find 2/5 ÷ 3.
- 1Put a 1 under the whole number. What do you get?
- 2Keep, Change, Flip. What is the new problem?
- 3Multiply across. How long is each piece?
Final answer: -
5Complete each step, then write the final answer.
Jamal has 6 cups of trail mix. He puts 1/4 cup in each bag. How many bags can he fill?
Show your workHint Find how many 1/4-cup parts fit in 6 cups. Find 6 ÷ 1/4.
Final answer: -
6Complete each step, then write the final answer.
Leo says 1/2 ÷ 4 is 8. He flipped the 1/2 and multiplied: 2 × 4 = 8. Is he right? Find the correct answer.
Show your workHint Keep the first number. Flip only the number you divide by. Write 4 as 4/1 first.
Final answer:
Explain your thinkingWhy does 3 ÷ 1/3 give a big answer, but 2/5 ÷ 3 gives a small answer?
Sentence starter Dividing by {1/3} gives more pieces because ___. · Dividing by 3 makes each piece ___ because ___.