Algebra 1 2-7 Complete Lesson: Solving Proportions

By Matt Richardson
Last updated over 2 years ago
31 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini-lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
1.

Solve It! You are making beaded necklaces, using a pattern in which 2 large red beads are followed by 3 small blue beads. Each set of 5 beads adds 1.25 in. to the length of the necklace. How many of each color bead will you need for a 20-in necklace?

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2.

Explain your answer.

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3.

Vocabulary: Define ratio in your own words.

4.

Vocabulary: Define proportion in your own words.

5.

Problem 1 Got It? What is the solution of the proportion?

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Problem 2 Got It? What is the solution for the proportion?

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7.

Problem 2 Got It? Would you rather use the Cross Products Property or the Multiplication Property of Equality (to multiply the numerator and denominator of at least 1 ratio by the same number) to solve the proportion? Explain.

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8.

Problem 3 Got It? What is the solution of the proportion?

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9.

Problem 4 Got It? An 8-oz can of orange juice contains about 97 mg of vitamin C.
About how many milligrams of vitamin C are there in a 12-oz can of orange juice?

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14.

Music: A band went to a recording studio and recorded 4 songs in 3 h. How long would it take the band to record 9 songs if they record at the same rate?

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15.

Vocabulary: Consider the proportion. Identify the extremes.

16.

Vocabulary: Consider the proportion. Identify the means.

17.

Vocabulary: Consider the proportion. Identify the cross products.

18.

Reasoning: Consider the proportion.
When solving the proportion, Lisa's first step was to write:
Jen's first step was to write:
Will both methods work? Explain.

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19.

Review Lesson 2-6: Complete the statement.
Enter only a number. Use decimal form, if necessary.

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20.

Review Lesson 2-6: Complete the statement.
Enter only a number. Use decimal form, if necessary.

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21.

Review Lesson 2-6: Complete the statement.
Enter only a number. Use decimal form, if necessary.

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22.

Review Lesson 2-4: Solve the equation. Name the solution or identify the equation as an identity or as having no solution.

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23.

Review Lesson 2-4: Solve the equation. Name the solution or identify the equation as an identity or as having no solution.

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24.

Vocabulary Review: Drag 2 words from the left to fill in the blanks in each equivalent rate statement on the right. Note: The order in which you drag the words does not matter.

  • miles
  • kilometers
  • pound
  • feet
  • hour
  • day
  • dollars
  • second
  • cents
  • 65 mi/h = sixty-five __?__ per __?__
  • 7 ft/day = seven __?__ per __?__
  • $3.99/lb = three dollars ninety-nine __?__ per __?__
  • 11 km/s = eleven __?__ per __?__
25.

Use Your Vocabulary: Complete each sentence on the right with the correct word from the left.

  • proportion
  • ratios
  • proportional
  • A scaled map of the roads in a city is __?__ to the actual roads.
  • When making fruit punch, you have to be sure the amount of ginger ale is in __?__ to the amount of fruit juice.
  • Because 5/8 is not equal to 15/20, the __?__ 5/8 and 15/20 do not form a proportion.
26.

Fill in the blank from the image.

27.

Fill in the blank from the image.

28.

Fill in the blank from the image.

29.

Fill in the blank from the image.

30.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

31.

Reflect: Math Success

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