1 / 10

Using Ratios (Proportions) to Make Predictions

Using Ratios (Proportions) to Make Predictions. TEKS 6.3 A/C Lesson 4 (3 rd 6 Weeks). Proportion. Two equivalent ratios or rates EX: Are and equivalent (proportional)?. Two equivalent ratios or rates EX: Are and equivalent (proportional)?.

mika
Download Presentation

Using Ratios (Proportions) to Make Predictions

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. Using Ratios (Proportions) to Make Predictions TEKS 6.3 A/C Lesson 4 (3rd 6 Weeks)

  2. Proportion • Two equivalent ratios or rates • EX: Are and equivalent (proportional)? • Two equivalent ratios or rates • EX: Are and • equivalent (proportional)? • Two equivalent ratios or rates • EX: Are and • equivalent (proportional)? • Two equivalent ratios or rates • EX: Are and • equivalent (proportional)? • Two equivalent ratios or rates • EX: Are and • equivalent (proportional)? 3 3 3 3 3 6 6 6 6 6 9 9 9 9 9 18 18 18 18 18

  3. 3 3 1 • Simplify both fractions. • Since both fractions can be simplified to the same fraction, the ratios are equal. ÷ = 3 9 3 6 1 6 ÷ = 18 3 6

  4. 3 6 = 9 18 • Therefore, • The proportion is read as 3 is to 9 as 6 is to 18. is a proportion.

  5. Proportions can be written in different ways, as long as the relationship between the numbers stays the same. • EX: x 2 x 2 9 18 3 6 or = = 6 9 18 3 x 2 x 2 or or ÷ 2 ÷ 2 18 9 6 3 = or = 6 3 18 9 ÷ 2 ÷ 2

  6. x 2 x 2 9 18 3 6 or = = 6 9 18 3 x 2 x 2 or or • All four of these proportions represent the same relationship. ÷ 2 ÷ 2 18 9 6 3 = or = 6 3 18 9 ÷ 2 ÷ 2

  7. Using proportions to make predictions • In some situations a ratio can be used to predict how often a related event will happen. • The related event can be described with an equivalent ratio. • Use the proportion method from lesson 3 to solve such problems.

  8. EX: If 6 limes cost 99 cents, how much do 42 limes cost? • Set up proportion. • (Sideways T chart [Ratio Table]) • Label the terms • Solve for the unknown. 6 99 7 x 7 x Limes 6 42 6 9 3 x Cost 99¢ 693¢ x 7 Work

  9. EX: Liliana takes 4 breaths per 10 seconds during yoga. At this rate, about how many breaths would Liliana take in 2 minutes of yoga? 2 mins. = 120 secs. x 12 Breaths 48 b 4 10 120 Seconds x 12

  10. EX: Billy feeds his horse 3 bales of hay every 5 days. About how many bales will Billy’s horse need for 31 days? x 6 hay 3 18 h days 5 31 x 6

More Related