PPT-7.2 Proportional Variation and Solving Proportions

Remember to Silence Your Cell Phone and Put It In Your Bag Proportional Variance Two quantities vary proportionally iff as their corresponding values increase or decrease the ratios of the two quantities are always equivalent. An introduction. Ratios express . relationships. 1 dozen eggs . $2.50. 2 cups of flour. 1 cake. This expresses the relationship that 1 dozen eggs cost $2.50. . This expresses the relationship that 2 cups of flour are needed to make 1 cake. In this section we will be able to give real life examples of Fractions and Proportions. We will also learn how to solve and evaluate Fractions and Proportions in word problems.. Lesson plan goals. We are constantly using fractions everyday. Most of the time not really even noticing that we are using fractions. Have you ever checked the clock or a watch for the time? Guess what the time is a fraction of a day so any time you use a watch, clock. . & . Types of Variation. Rearranging formulas containing rational expressions. Variation. Variation. Inverse. Joint. Combined. 6.8. 1. Electronics:. “Solving” formulas for different variable. Bell Ringer…. Are 2/3 and 6/12 proportional?. No; 6/12 = 1/2 ≠ 2/3. Are 2/3 and 10/15 proportional?. Yes; 2/3 = (2*5)/(3*5) = 10/15. Are 2/3 and 4/9 proportional?. No; both are simplified. Proportional Shapes. Ratios. A . ratio. is a comparison of . two. numbers.. Example: Tamara has 2 dogs and 8 fish. The ratio of dogs to fish can be written in three different ways. ..  .  . ***. Be careful with the . A professional development program to help teachers better understand the mathematical reasoning needed for ratio, proportion, and proportional reasoning.. To understand the importance and significance of ratio, proportion, and proportional reasoning in the middle grades mathematics curriculum.. 3/28/17. How do we write ratios?. How do we write and simplify rates?. How do we decide whether two ratios/rates are proportional?. Today We’ll Discuss. Definition:. The . ratio. of two numbers . Stepping out in faith. 1. Stewardship is discipleship. God loves us and is calling us into relationship with Him.. Stewardship and Discipleship are about . how you live your life. as a result and reflection of that relationship.. When the statement of a problem says that A varies directly as B or that A is directly proportional to B, the equation . . A = . kB. Is implied. . When the statement says that A varies inversely as B or that A is inversely proportional to B, the equation. John Barker & Jennifer Thomas. Nevada Math Project. March 2015. Big Ideas. Ratio – A ratio is used to measure two different things in two different units.. Ex. How far a car drives with how long it takes to get to the destination. . Yawn Seed?. Subject. Yawned?. Yes. No. Total. Yes. 10. 4. 14. No. 24. 12. 36. Total. 34. 16. 50. Trial. Number who yawned in yawn seed group. Number who yawned in no yawn seed group. Difference in proportions (yawn. 1-41..  Make a table and a graph to represent each of the situations below.. Parvin. often cleans the dishes for her mother.  She can clean 17 plates in 10 minutes.  How many plates can she clean in different amounts of time? . y = . kx. , where k ≠ 0. . The constant of variation for a direct variation . k. is the coefficient of . x.. Example of direct variation. : The time it takes to hear thunder varies directly with the distance from lightning. (As the distance from lightning increases, so does the time it takes you to hear the thunder!). Proportion – Learning Outcomes Express quantities as proportions of each other using fractions, decimals, ratios, and percentages. Divide quantities into a given proportion. Express errors as a proportion.