PPT-7 th Grade Ratios and Proportional Relationships

John Barker amp 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 . Grades 6 – 7 Ratios and Proportional Relationships. Grade 8 Functions. Progressions for the Common Core State Standards in Mathematics (draft). Ratio Proportional Progression 6 – 7 . ©The Common Core Standards Writing Team 26 December 2011. 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. 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.. Graphs of Proportional Relationships. Flour. (Cups). Cookies. (Dozens). ---. -----. --. 4. 6 8. 9 12. 12 16. Yes, it is proportional. The ratio of cookies divided. by flour is always 4/3 or 1.3333.. I love chocolate, so I’m going to get a slice of the 6-layer cake!. I want the one that has more chocolate flavor, so I’m getting the 3-layer cake!. The . Chocolatey. Cake Debate. . If you wanted to buy a slice of the cake that had the . Magumba. Lecture 3 . Proportionality. Ratios. If the ratio of A:B is 1:3 then A = 1/3 of B. For instance if you were to divide 20 oranges between A and B in the ratio 1:3 it means you have a total of 1 + 3 or 4 equal parts and each part is equal to 20/4 or 5 oranges, A gets 1 * 5 oranges and B gets 3 * 5 oranges. Building Mathematical Knowledge and. High-Leverage Instruction for Student Success. February 25, 2016. Using Representations to . Make Sense of Rates. Learning Intentions & Success Criteria. Learning Intentions:. 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 . 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? . the Rhode Island Department of Education. by. Kristina Sparfven. The Rigors of Ratio and Proportional Reasoning in the Common Core State Standards. Agenda. Examine the progression of ratio and proportion in the middle grades.. Adapted from a WORKSHOP prepared for the Rhode Island Department of Education by Kristina Sparfven The Rigors of Ratio and Proportional Reasoning in the Common Core State Standards Agenda Examine the progression of ratio and proportion in the middle grades. Topic A: Proportional Relationships Lesson 3 Identifying Proportional and Non-Proportional Relationships in Table Topic A Overview Lesson 1: An Experience in Relationships as Measuring Rate Lesson 2: Proportional Relationships . ratio and rate . quiz . Thursday. Warm Up - convert each rate to a unit rate.. 42 miles in 7 hours 2) 108 sit ups in 6 minutes. 4) 4.5 gallons in . ⅝ minutes. State if the two ratios form a proportion..