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Laabri

Algebra 1 2-7 Complete Lesson: Solving Proportions

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Last updated over 4 years ago
31 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:
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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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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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3.

Vocabulary: Define ratio in your own words.

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4.

Vocabulary: Define proportion in your own words.

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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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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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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.

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16.

Vocabulary: Consider the proportion. Identify the means.

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17.

Vocabulary: Consider the proportion. Identify the cross products.

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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 __?__

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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.

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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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31.

Reflect: Math Success

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Explain your answer.

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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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29.

Fill in the blank from the image.