Proportional relationships #7

Master proportional relationships! Practice unit rates, equations, and graphs.

DO NOW:GROWTH MINDSET PATTERN TASK 1) Fill in the table to represent the growth of the pattern. Case number (x - values) Number of hearts (y - values) Case 0 o Case 1 1 Case 2 2 Case 3 3 2) If the pattern continues to grow, how many hearts would be in case 10? 10 hearts 15 hearts 20 hearts 25 hearts 3) Which equation represents any case number? ( C = case number, H = number of hearts) C = 2H C= 1H H= 1C H =2C Direct Instruction:I can solve proportional relationship problems. Unit rate is a comparison of two quantities where one of the quantities is equal to 14) What does the unit rate mean in context of the problem? 60 miles were traveled in 1 hour 1 mile was traveled in 60 hours 120 miles were traveled in 1 hour 1 mile was traveled in 120 hours 5) When a relationship is NOT proportional, the unit rate DOES NOT stay the same.The table below shows the relationship between the amounts of money in Sarah’s savings account and the number of months she has been saving money.Which statement is NOT true? Sara saves less money each month Sara is able to save $31.50 each month Sara saved more money from 2 months to 5 months than she did from 5 months to 7 months Sara saved less money from 5 months to 7 months than she did from 2 months to 5 months. 6) Write an equation to represent the relationship between x and y. y = 3x+ 1 x = 3y y = 3x x = 3y +1 Guided Practice: 7) Fill in the table below # hours worked Amount earned ($) 1 2 18 3 5 45 10 15 135 20 180 8) If Felix works 35 hours, how much does he earn? $220 dollars $315 dollars $450 dollars $135 dollars 9) EXIT TICKET:OPEN RESPONSE On a separate piece of paper, answer the following questions:1) Locate 4 points on the graph and write down the ordered pair (x,y coordinates)2) Does this graph show a proportional relationship between dollars and quarters?3) What is the unit rate and what does it mean in context of this problem?4) Write two reasons why this graph may or may not show a proportional relationship.