1 / 16

Solving Proportions

Solving Proportions. Math Connections II Fall 2012 Ms. Catalan. Objectives. Students will be able to:. (1) DESCRIBE a proportional relationship using an equation. (2) SOLVE proportions. (3) USE proportions to solve real-world problems. Definition. RATIO

menora
Download Presentation

Solving 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. Solving Proportions Math Connections II Fall 2012 Ms. Catalan

  2. Objectives Students will be able to: (1) DESCRIBE a proportional relationship using an equation (2) SOLVE proportions (3) USE proportions to solve real-world problems

  3. Definition RATIO a comparison of two quantities by division Example: In a recipe for chocolate chip cookies, there are TWO cups of flour for every ONE cup of sugar Ratio:

  4. PROPORTION An equation stating that two ratios are equal Definition Example: In the recipe for chocolate chip cookies, there are TWO cups of flour for every ONE cup of sugar If you double the recipe, then you will need FOUR cups of flour and TWO cups of sugar. Proportion:

  5. Write Your Own Proportion The wait time for a roller coaster is 20 minutes when there are 160 people in line. At this rate, how long is the wait time when 220 people are in line? ANSWER: x = number of minutes of wait time when there are 220 people in line

  6. Let’s Solve… • Cross Multiply 160 x = 20 (220)

  7. Let’s Solve… 2. Solve for x. 160 x = 20 (220) 160 x = 4400 160 x= 4400 160 160 x = 27.5 minutes

  8. “I’m Proportional and I Know It…” Click to view video

  9. But How Tall Is It?? The Washington Monument in Washington, DC was completed in 1884. It is the world's tallest stone structure and the world's tallest obelisk. (click here for definition)

  10. But How Tall Is It?? In this picture, the monument is 5 inches tall and the flags surrounding it are 0.05 inches tall. 5 in. The flags are 70 inches tall is real life. Write a proportion and solve to find how tall the Washington Monument is. 0.05 in.

  11. But How Tall Is It?? x = height of monument 350 = 0.05 x 7,000 in. = x The monument is approximately 7,000 inches tall!

  12. Click here for 10 amazing facts about the Washington Monument.

  13. Solve for the heights of these monuments. 5 in. 7.5 in. 1 in. 2 in. The Martin Luther King Jr. Memorial The Jefferson Memorial (the tour guide is 72 inches tall in real-life) (the man is 62 inches tall in real-life)

  14. The MLK Jr. Memorial is the newest memorial in Washington, DC, opening is August 2011, and stands approximately 360 inches tall! The Jefferson Memorial, built in 1947, stands approximately 230 inches tall!

  15. How Did You Do? Click link for Ticket to Leave Homework Access homework at Ms. Catalan’s homepage

  16. References Carter, J. A., Cuevas, A. J., Day, R., & Malloy, C. (2012). Pre-algebra. New York, NY: Mc-Graw Hill Education. Indiana Honey. (Photographer) (2009). Honey chocolate chip cookies [Web]. Retrieved from http://www.indianahoney.com/ihf/cookies/cookies.html LaaLoosh. (Photographer) (n.d.). Chocolate chip cookies recipe – 1 point value [Web]. Retrieved from http://www.laaloosh.com/2009/02/11/weight-watchers-chocolate-chip-cookies-recipe/ My Teenage Werewolf. (Photographer) (n.d.). The wide ride >> roller coaster [Web]. Retrieved from http://www.myteenagewerewolf.com/lauren/the-wild-ride/attachment/roller-coaster/ Washington Monument – 10 Amazing Facts. (n.d.). YouTube. Retrieved June 24, 2012, from http://www.youtube.com/watch?v=Rs25V7VsrWY

More Related