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Algebra 1 2-7 Complete Lesson: Solving Proportions

By Matt Richardson
Last updated almost 3 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.

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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Explain your answer.

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Vocabulary: Define ratio in your own words.

Vocabulary: Define proportion in your own words.

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

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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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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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Vocabulary: Consider the proportion. Identify the extremes.

Vocabulary: Consider the proportion. Identify the means.

Vocabulary: Consider the proportion. Identify the cross products.

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

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

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

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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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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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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 __?__

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.

Fill in the blank from the image.

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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.

Reflect: Math Success

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