1 / 9

Proportions

Proportions. Lesson 6-3:. Vocabulary. A proportion is an equation stating that two ratios or rates are equal.

hyman
Download Presentation

Proportions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Proportions Lesson 6-3:

  2. Vocabulary • A proportion is an equation stating that two ratios or rates are equal. To prove that two ratios form a proportion, you must prove that they are equivalent. To do this, you must demonstrate that the relationship between numerators is the same as the relationship between denominators.

  3. Examples: Do the ratios form a proportion? x 3 Yes, these two ratios DO form a proportion, 7 21 , 10 30 x 3 ÷ 4 8 2 No, these ratios do NOT form a proportion, because the ratios are not equal. , 9 3 ÷ 3

  4. Completing a Proportion • Determine the relationship between two numerators or two denominators (depending on what you have). • Execute that same operation to find the part you are missing.

  5. Example ÷ 5 35 7 = 40 8 ÷ 5

  6. Proportion with Unit Rate Determine if the quantities in each pair of rates are proportional. Explain your reasoning and express each proportional relationship as a proportion Example: 5 laps swum in 8 minutes 11 laps swum in 16 minutes No; Since the rates are NOT proportional 5 laps 11 laps ≠ 16 min 8min

  7. Example #2 8 corrals with 56 horses 4 corrals with 28 horses ÷ 2 8 corrals 4 corrals = 56 horses 28 horses ÷ 2 Yes, this is an equal proportion since the fractions are equivalent.

  8. How to Determine If a pair of rates or ratios are proportional: 1. Use unit rates….to see if the same (from 6-1). 2. Use equal proportions

  9. Practice Time P331 # 1-5

More Related