1 / 13

Mastering Ratios and Proportions for Efficient Problem Solving

Dive into computing ratios and using proportions effectively in various scenarios, from simplifying ratios to solving proportions with examples. Explore how ratio and proportion concepts apply in real-life situations to enhance problem-solving skills.

slinda
Download Presentation

Mastering Ratios and Proportions for Efficient Problem Solving

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. Chapter 8 Similarity

  2. Section 1Ratio and Proportion

  3. GOAL 1: Computing Ratios If a and b are two quantities that are measured in the same units, then the ratio of a to b is a/b. The ratio of a to b can also be written as a:b. Because a ratio is a quotient, its denominator cannot be zero. Ratios are usually expressed in simplified form. For instance, the ratio of 6:8 is usually simplified as 3:4.

  4. Example 1: Simplifying Ratios

  5. Example 2: Using Ratios The perimeter of rectangle ABCD is 60 centimeters. The ratio of AB:BC is 3:2. Find the length and width of the rectangle.

  6. Example 3: Using Extended Ratios The measure of the angles in ∆JKL are in the extended ratio of 1:2:3. Find the measures of the angles.

  7. Example 4: Using Ratios The ratios of the side lengths of ∆DEF to the corresponding side lengths of ∆ABC are 2:1. Find the unknown lengths.

  8. GOAL 2: Using Proportions

  9. Example 5: Solving Proportions

  10. Example 6: Solving a Proportion Painting: The photo shows Bev Doolittle’s paint Music in the Wind. Her actual painting is 12 inches high. How wide is it?

  11. Example 7: Solving a Proportion Estimate the length of the hidden flute in Bev Doolittle’s actual painting. (Note: in the photo, the flute is 1 7/8 inches long)

  12. EXIT SLIP

More Related