Algebra 1 2-7 Complete Lesson: Solving Proportions
By Matt Richardson
Last updated about 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.
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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.
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Vocabulary: Define proportion in your own words.
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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.
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Vocabulary: Consider the proportion. Identify the means.
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Vocabulary: Consider the proportion. Identify the cross products.
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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 __?__
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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.
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Fill in the blank from the image.
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Fill in the blank from the image.
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Fill in the blank from the image.
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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.
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Reflect: Math Success
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