1 / 12

Lesson 2-6

Lesson 2-6. Ratios and Proportions. Review. Express the statement using an equation involving absolute value. Do not solve. The fastest and slowest recorded speeds of a speedometer varied 3 miles per hour from the actual speed of 25 miles per hour. Try these:.

denton-moss
Download Presentation

Lesson 2-6

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. Lesson 2-6 Ratios and Proportions

  2. Review • Express the statement using an equation involving absolute value. Do not solve. The fastest and slowest recorded speeds of a speedometer varied 3 miles per hour from the actual speed of 25 miles per hour.

  3. Try these: Solve ǀj-2 ǀ = 4 Graph the solution set. Find four consecutive integers whose sum is 154. Solve ǀp+ 3 ǀ = 5 Graph the solution set. Find three consecutive even integers whose sum is -72.

  4. Try these • Solve ǀ2k + 1ǀ =7 Graph the solution set. • A refrigerator is guaranteed to maintain a temperature no more than 2.4⁰F from the set temperature. If the refrigerator is set at 40⁰F, what are the least and the greatest temperatures covered by the guarantee? • { }

  5. Solve ǀx + 8 ǀ = 13 Graph the solution set Content standards: Explain each step in solving a simple equations following from the quality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution Solve linear equations and inequalities inon variable, including equation with coeffients represented by letters. Attend to precision (accuracy)

  6. Objectives: • Compare ratios • Solve proportions • Vocabulary: • Ratio- • Proportions • Means • Extremes • Rate • Unit rate • Scale • Scale model

  7. Determine whether ratios are equivalent • Determine whether 7/8 and 49/56 are equivalent ratios. Justify your answer. • Determine whether 5/6 and 40/49 are equivalent ratios.

  8. Key concept: Means-Extremes Property of Proportion Use cross products to determine whether the pair of ratios below forms a proportion. .25/.6 = 1.25/2

  9. More examples: Use cross products to determine whether the of ratios below forms a proportion .5/1.3, .45/1.17 5/6, 12/15 Solve the proportion n/12 = 3/8 Solve the proportion (x+4)/12 = 3/4

  10. Try these: Solve the proportion r/9 = 7/10 (x-6)/16 = 5/8 The ratio of a gear on a bicycle is 8:5. This means that for every eight turns of the pedals, the wheel turns five times. Suppose the bicycle wheel turns about 2435 times during the tip. How many times would you have to crand the pedals during the trip:

  11. Try these: Trent goes on 30 mile bike ride every Saturday. He rides the distance in 4 hours. At this rate, how far can he ride in 6 hours? In a road atlas, the scale for the map of Connecticut is 5 inches = 41 miles. What is the distance in miles represented by 2 ½ inches on the map?

  12. Real World Example • The scale on a map of the United Staes is 1 3/8 inches = 750 miles. The distance, on the map, between Los Angeles and Washington, D.C., is about 3 7/8 inches. What is the distance in miles between the two locations?

More Related