Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.NOS.1

Lesson 6.116.11 · Part II

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can solve real-world problems by deciding whether the question asks how many groups fit or how much is in one group, writing a fraction division equation, and checking the solution by multiplying.

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

Word	What it means	Example
ModelSpanish: Modelo	A picture or math way to show a problem so you can solve it.	A bar model showing 3/4 split into 1/8-size pieces, or the equation 3/4 ÷ 1/8 = 6
EquationSpanish: Ecuación	A math sentence with an equal sign showing both sides are the same.	3/4 ÷ 1/8 = 6 — the left side (division) equals the right side (answer)
SolutionSpanish: Solución	A number that makes the equation or inequality true.	In 3/4 ÷ 1/8 = 6, the solution is 6 portions
ReasonablenessSpanish: Razonabilidad	Checking if your answer makes sense.	3 ÷ 1/4 = 12. Is 12 reasonable? Yes, because 1/4 is small so many pieces fit into 3.
Inverse operationsSpanish: Operaciones inversas	Two math actions that undo each other, like × and ÷.	If 3/4 ÷ 1/8 = 6, then 6 × 1/8 = 6/8 = 3/4. Multiplication checks division.

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

Word bank ModelEquationSolutionReasonablenessInverse operations

Watch outA common mistake

A common mistake in Fraction Division Problem Solving is reversing which fraction is the dividend and which is the divisor when setting up the equation from a word problem. For example: a pitcher holds 3/4 cup of punch, and each serving is 1/8 cup — how many servings? The correct setup is total ÷ group size = 3/4 ÷ 1/8 = 3/4 × 8/1 = 24/4 = 6 servings. A student who reverses the setup calculates 1/8 ÷ 3/4 = 1/8 × 4/3 = 4/24 = 1/6, an answer smaller than 1 that can't possibly be a serving count. Before you submit, check: does my answer make sense as a NUMBER OF GROUPS? If the setup gives a fraction less than 1 for a 'how many' question, you likely swapped the dividend and divisor.

Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.NOS.1

Lesson 6.116.11 · Part II

Apply Day · Version ASupported practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice

Name Date Period

Learning target I can solve real-world problems by deciding whether the question asks how many groups fit or how much is in one group, writing a fraction division equation, and checking the solution by multiplying.

1Complete each step, then write the final answer.

A jug has 3/5 gallon of water. Each cup holds 1/5 gallon. How many cups can you fill?
Show your work
Hint Write total ÷ size of one cup.
Final answer:
2Complete each step, then write the final answer.

Agent Torres has 2 pounds of clay. Each cast uses 1/3 pound. How many casts can she make?
Show your work
Hint The total is 2 pounds. Divide 2 by 1/3.
Final answer:
3Complete each step, then write the final answer.

A bottle has 7/10 liter of juice. Each glass holds 1/10 liter. How many glasses can you fill?
Show your work
Hint Write 7/10 ÷ 1/10. Then multiply 7/10 by 10.
Final answer:

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help

Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.NOS.1

Lesson 6.116.11 · Part II

Apply Day · Version BCore practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice

Name Date Period

Learning target I can solve real-world problems by deciding whether the question asks how many groups fit or how much is in one group, writing a fraction division equation, and checking the solution by multiplying.

1Complete each step, then write the final answer.

Leo has 1/2 pound of beads. Each bracelet uses 1/12 pound. He writes 1/12 ÷ 1/2 and gets 1/6. How many bracelets can he really make?
Show your work
Final answer:
2Complete each step, then write the final answer.

A jar holds 9/10 pound of dust. Each test uses 3/20 pound. How many tests can Agent Torres run?
Show your work
Final answer:
3Complete each step, then write the final answer.

A ribbon is 9/10 meter long. Each bow uses 3/10 meter. How many bows can you make?
Show your work
Final answer:

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help

Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.NOS.1

Lesson 6.116.11 · Part II

Apply Day · ChallengeExtension

Mastery check☐ Exceeds☐ Meets target☐ Needs practice

Name Date Period

Learning target I can solve real-world problems by deciding whether the question asks how many groups fit or how much is in one group, writing a fraction division equation, and checking the solution by multiplying.

1Circle the letter of the best answer. Show how you know.
A ribbon is 4 1/2 feet long. Marta cuts the whole ribbon into pieces that are each 3/4 foot long. How many pieces does she get?
1. A1/6 of a piece
2. B3 3/8 pieces
3. C5 1/4 pieces
4. D6 pieces
Show your work
2Complete each step, then write the final answer.

Max has 1 1/5 liters of juice. Each glass holds 2/5 liter. He multiplies and gets 12/25 glass. How many glasses can he really fill?
Show your work
Final answer:
3Complete each step, then write the final answer.

23 of the door uses 25 gallon.
A painter used 2/5 gallon of paint to cover 2/3 of a door. How much paint does the whole door need?
Show your work
Final answer:

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help