SWBAT recognize and represent proportional relationship between quantities (7.RP.2). reason abstractly and quantitatively (MP #2).

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1 Name Period Date th Grade Mathematics Ms. Ullian, Ms. Ferraro, Mr. Guzzio - SWBAT recognize and represent proportional relationship between quantities (.RP.). reason abstractl and quantitativel (MP #). Is It Proportional?. A new self-serve frozen ogurt store opened this summer that sells its ogurt at a price based upon the total weight of the ogurt and its toppings in a dish. Each member of Isabelle s famil weighed their dish and this is what the found. Determine if the cost is proportional to the weight. Weight (ounces). Cost ($). The cost the weight.. John is filling a bathtub that is inches deep. He notices that it takes two minutes to fill the tub with three inches of water. He estimates it will take ten more minutes for the water to reach the top of the tub if it continues at the same rate. Is he correct? Eplain.. Using the ratio provided, create a table that shows mone received is proportional to the number of cand bars sold. Plot the points in our table on the grid. Cand Bars Sold Mone Received ($) 9 9

2 Etra Credit Points Donations Matched b Benefactor ($) Admission Price ($) Name Period Date th Grade Mathematics Ms. Ullian, Ms. Ferraro, Mr. Guzzio - SWBAT recognize and represent proportional relationship between quantities (.RP.). reason abstractl and quantitativel (MP #). Is It Proportional?. In the back of a recipe book, a diagram provides eas conversions to use while cooking. Determine if the number of ounces is proportional to the number of cups. Cups Ounces The ounces (is/is not) proportional to the cups.. Determine whether or not the following graphs represent two quantities that are proportional to each other. Eplain our reasoning. a. b. Donated Mone vs. Donations Matched b Benefactor Mone Donated Age vs. Admission Price Age (ears) a. b. c. Etra Credit vs. Number of Problems Number of Problems Solved c.

3 . You have decided to walk in a long distance race. There are two teams that ou can join. Team A walks at a constant rate of. miles per hour. Team B walks miles the first hour and then miles per hour after that. (Hint) Create a table for each team showing the distances that would be walked for times of,,,,, and hours. Using our tables, answer the questions that follow. a. For which team is distance proportional to time? Eplain our reasoning. b. Eplain how ou know distance for the other team is not proportional to time.. Create a table and a graph for the ratios :, to, and :. Does the graph show that the two quantities are proportional to each other? Eplain wh or wh not.

4 . During Jose s phsical education class toda, students visited activit stations. Net to each station was a chart depicting how man calories (on average) would be burned b completing the activit. Calories Burned while Jumping Rope Time (minutes) Calories Burned Is the number of calories burned proportional to time? How do ou know?. Bella tpes at a constant rate of words per minute. Is the number of words she can tpe proportional to the number of minutes she tpes? Create a table to determine the relationship. Eplain our reasoning, Minutes Number of Words. Mark recentl moved to a new state. During the first month he visited five state parks. Each month after he visited two more. Complete the table below and use the results to determine if the number of parks visited is proportional to the number of months.. Lucas and Brianna read three books each last month. The table shows the number of pages in each book and the length of time it took to read the entire book. Pages Lucas Read Time (hours) 9 Pages Brianna Read Time (hours)

5 a. Which of the tables, if an, shows a proportional relationship? b. Both Lucas and Brianna had specific reading goals the needed to accomplish. What different strategies did each person emplo in reaching those goals? 9. Isaiah sold cand bars to help raise mone for his scouting troop. The table shows the amount of cand he sold compared to the mone he received. Cand Bars Sold Mone Received ($) 9 Is the amount of cand bars sold proportional to the mone Isaiah received? How do ou know?. Graph the following tables and identif if the two quantities are proportional to each other on the graph. Eplain wh or wh not. c

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