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1-16-13 Proportional Relationships and Slope

1-16-13 Proportional Relationships and Slope EQ: Why would you need to identify the unit rate in graphs, tables and equations? What are three professions where a person would need to know how to find a unit rate? . BOP: Find the unit rate $13.41 for 12 gallons.

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1-16-13 Proportional Relationships and Slope

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  1. 1-16-13 Proportional Relationships and Slope EQ: Why would you need to identify the unit rate in graphs, tables and equations? What are three professions where a person would need to know how to find a unit rate? BOP: Find the unit rate $13.41 for 12 gallons DWP: Carlos and Jennie are building scale models of different vehicles for a class project. They just completed a 4 inch long model of a car that is 15 feet in length. If they use the same scale, what will be the length of a scale model of a truck that is 31.5 feet long? If the actual distance between Springfield and Travis Heights is 157.5 mi, and the distance on the map is 1 ¾ inches, what is scale of the map?

  2. Carlos and Jennie are building scale models of different vehicles for a class project. They just completed a 4 inch long model of a car that is 15 feet in length. If they use the same scale, what will be the length of a scale model of a truck that is 31.5 feet long? 8.4 inches Taken directly from the former Grade 7 indicators If the actual distance between Springfield and Travis Heights is 157.5 mi, and the distance on the map is 1 ¾ inches, what is scale of the map? 1 in. : 90 mi Taken from Holt Course 2, Standardized Test Practice

  3. Handout D76 Proportional Relationships Walking Rates

  4. Workbook page 97 and handout “Using Scale Factor” 5 42.5 36 e=21.3 f = 16.8 5.5 m ¾ inch 2 ¾ inches 8 ½ inches 32 miles 80 miles 56 miles 160 miles 128 miles 118 miles

  5. UNIT 6 REVIEW: THINK: Unit Rate - What is a unit rate and how do you find it? Proportion - What is a proportion? Constant of Proportionality - What is constant of proportionality and how do you know? What are the characteristics of a proportional relationship? SHARE YOUR THOUGHTS WITH A FRIEND

  6. TOOLBOX

  7. To find the CONSTANT OF PROPORTIONALITY create a chart using points from the graph. (2, 20), (4, 40), (6, 60), etc. Divide the POUNDS by the PRICE to find the ratio: RATIO: 1:10 Constant = 10 Equation: y =kx y = 10x

  8. Interpret the following graphs to find the CONSTANT OF PROPORTIONALITY Constant of proportionality? y = kx

  9. Constant of proportionality? y = kx

  10. Constant of proportionality? y = kx

  11. Constant of proportionality? y = kx

  12. Constant of proportionality? y = kx

  13. Company A and B both sell widgets. The company you work for has put you in charge of buying widgets. Use the information on the next screen to answer the following: 1. Which company sells widgets at the lower price? 2. Explain to you boss how you know which company sells widgets at the lower price.

  14. $50/1000 = Unit price $8/200 = Unit price

  15. 3/4 2/3 3/5 1

  16. Goes through the origin and - Points fall on a straight line.

  17. Kara’s will be the strongest because there are more lemons than either of the other girls for the same amount of water.

  18. Kara’s is still the strongest because it uses the least water for the same number of lemons. Jessie’s will be the weakest because it uses the most water for the same number of lemons.

  19. 0 1.50 3.00 4.50 6.00 7.50 9.00 10.50 12.00 13.50 15.00 16.50 18.00 19.50 0 2.50 5.00 7.50 10.00 12.50 15.00 17.50 20.00 22.50 25.00 27.50 30.00 32.50 4.00 4.75 5.50 6.25 7.00 7.75 8.50 9.25 10.00 10.75 11.50 12.25 13.00 13.75

  20. Summary: Write three to four sentences that answer today’s essential questions. Homework: Handout - Interpreting From Graphs

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