1 / 9

Proportions and Ratios

Proportions and Ratios. by Kylan Parayao. Vocabulary and Examples . Ratio : A comparison of two numbers or quantities Numerical Example : 1 apple : 3 oranges This ratio compares apples to oranges. It means for every apple there are 3 oranges. Algebraic Example: A /B

zuri
Download Presentation

Proportions and Ratios

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 and Ratios by Kylan Parayao

  2. Vocabulary and Examples • Ratio: A comparison of two numbers or quantities Numerical Example:1 apple : 3 oranges This ratio compares apples to oranges. It means for every apple there are 3 oranges. Algebraic Example:A/B • Proportions: Is an algebraequation that states two ratios are equal Numerical Example:1/2 = 2/4 2 * 2 = 1 * 4 4 = 4 Algebraic Example:1/2 = x/6 x * 2 = 1 * 6 2x = 6 x = 3

  3. Vocabulary and Examples continued • Extremes: the numbers that are located on the top left and the bottom right of the equation. • Means: the numbers that are located on the top right and the bottom left. Source: http://www.algebrahelp.com/lessons/proportionbasics/index.htm

  4. Necessary Prior Knowledge • Cross products property • Cross Products is a method of checking proportions to see if the the two ratios are equal, which would make the sentence correct. • For Example: 4 feet/8 people = 12 feet/p people. • Source: http://eclass1.wsd.k12.ca.us/moodle/mod/resource/view.php?id=481

  5. Main Ideas • A proportion is a comparison of two ratios that are often in fraction form. • A ratio is a comparison between two values. • Cross products are a method of checking to see if the two proportions are equal.

  6. Formulas and examples • Ratio: • A:B or A/B • 1 apple:3 oranges • 1 apple/3 oranges • Proportion: • A/B = C/D • 1/2 = x/6 • Cross Products: • A/B = C/D • A*D = B*C

  7. Example Problems • Problem 1 • Jane has a box of apples and oranges in the ratio of 2:3. If she has six apples, how many oranges does she have? • Problem 2 • Solve for x: • x students/6 teachers = 209 students/11 teachers

  8. Answers • Problem 1 • Jane has a box of apples and oranges in the ratio of 2:3. If she has six apples, how many oranges does she have? • Answer: 2 apples/3 oranges = 6 apples/x oranges 2*x = 6*3;2x = 18; x = 9 9 oranges • Problem 2 • Solve for x: • x students/6 teachers = 209 students/11 teachers • Answer: x*11 = 209*6; 11x = 1254; x = 114 114 students

  9. References • Class Notes: Unit 2, Concept:Proportions Date:9/22/12 • Internet Resources: • http://www.algebrahelp.com/lessons/proportionbasics/index.htm • http://eclass1.wsd.k12.ca.us/moodle/mod/resource/view.php?id=481

More Related