PPT-By the Pound Topic Proportional Relationships, Lines &

Linear Equations Common Core State Standards 8EE5 Task 2 Copyright 2016 The Regents of the University of California This work was supported by grant number DRL1020393 from the National Science Foundation and grant number 20128075 from the William and Flora Hewlett Foundation. 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. A proportionalrelationship between two quantities is one in which the two quantities vary directly with one and other. If one item is doubled, the other, related item is also doubled. Because of Many natural (physical) phenomena exhibit . variation. = one quantity (quantities) changing on account of another (or several) . Principle is some kind of dependence. What things can we think about that depend on another action/object? . 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 . Parallel Lines and Transversal. Alternate interior angles are congruent if the lines are parallel. Corresponding angles are congruent if the lines are parallel. Given the picture list all corresponding angles, list all Alternate interior angles (assume lines are parallel). Look for the similar Triangles. Parallel Lines and Transversal. Alternate interior angles are congruent if the lines are parallel. Corresponding angles are congruent if the lines are parallel. Could use SSI to prove lines parallel. 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. . 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? . Institution. Date. Replace this box with key image to introduce talk’s scope, importance, or background. Replace with . your Logo. Title of Presentation in Initial Capitals:. 36 Points, Calibri Bold. Take your pulse for 2 minutes and record your results. . Use your results to determine the number of beats for . minute. .  . ----Beats in 2 minutes = ? . . ----. . . Number of beats. in 1 minute. 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 Standard: . 7.RP.A.2a, d. Recognize and represent proportional relationships between quantities.. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.. Weight (ounces). 12.5. 10. 5. 8. Cost ($). 5. 4. 2. 3.2. Example 1: . A new self-serve frozen yogurt store opened this summer that sells its yogurt at a price based upon the total weight of the yogurt and its toppings in a dish. Each member of Isabelle’s family weighed his/her dish and this is what they found. .