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6-8 Accelerated 6 Unit 3 Lesson 12

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•Accelerated 6 Accelerated 7

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 •Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19 Lesson 20 Lesson 21 Lesson 22 Lesson 23

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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Unit 3, Lesson 12

Solving Problems Involving Fractions (Optional)

Accelerated 6

Practice

Problem 1

An orange has about \(\frac14\) cup of juice. How many oranges are needed to make \(2\frac12\) cups of juice?

Select all the equations that represent this question.

\( {?} \boldcdot \frac 14= 2\frac12\)
\(\frac14 \div 2\frac12 = {?}\)
\({?} \boldcdot 2\frac12 = \frac14\)
\(2\frac12 \div \frac14 = {?}\)

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Lesson 12 Resources

Student Materials

Problem 2

Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances.

Parking lot: \(\frac34\) mile
Summit: \(1\frac12\) miles

Mai says: “We are one third of the way there.”
Clare says: “We have to go twice as far as we have already gone.”
Tyler says: “The total hike is three times as long as what we have already gone.”

Do you agree with any of them? Explain your reasoning.

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Problem 3

Priya’s cat weighs \(5\frac12\) pounds and her dog weighs \(8\frac14\) pounds. First, estimate the number that would complete each sentence. Then, calculate the answer. If any of your estimates were not close to the answer, explain why that may be.

The cat is \(\underline{\hspace{.5in}}\) as heavy as the dog.
Their combined weight is \(\underline{\hspace{.5in}}\) pounds.
The dog is \(\underline{\hspace{.5in}}\) pounds heavier than the cat.

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Problem 4

ForLesson 11: Volume of Prisms

Before refrigerators existed, some people had blocks of ice delivered to their homes.

Suppose a delivery wagon had a storage box in the shape of a rectangular prism that was \(7\frac{1}{2}\) feet by \(4\frac{1}{2}\) feet by 6 feet. The cubic ice blocks stored in the box had side lengths \(1\frac{1}{2}\) feet. How many ice blocks fit in the storage box?

\(202\frac12\)
\(3\frac38\)
60
180

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Problem 5

ForLesson 1: Size of Divisor and Size of Quotient

Fill in the blanks with 0.001, 0.1, 10, or 1000 so that the value of each quotient is in the correct column.

Close to \(\frac{1}{100}\)

\(\underline {\hspace{.75 in}} \div 9\)
\(12 \div \underline {\hspace{.75 in}} \)

Close to 1

\(\underline {\hspace{.75 in}} \div 0.12\)
\(\frac18 \div \underline {\hspace{.75 in}} \)

Greater than 100

\(\underline {\hspace{.75 in}} \div \frac13\)
\(700.7 \div \underline {\hspace{.75 in}} \)

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Problem 6

ForLesson 25: Finding This Percent of That

A school club sold 300 shirts. 31% were sold to fifth graders, 52% were sold to sixth graders, and the rest were sold to teachers. How many shirts were sold to each group—fifth graders, sixth graders, and teachers? Explain or show your reasoning.

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Problem 7

ForLesson 12: Part-Part-Whole Ratios

Jada has some pennies and dimes. The ratio of Jada’s pennies to dimes is 2 to 3.

From the information given, can you tell how many coins Jada has?
If Jada has 55 coins, how many of each kind of coin does she have?
How much are her coins worth?

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