p.141 Maintenance Sheet Due Friday *Powerschool Benchmark & AR Due – Fri Missing/Makeup Work Due Friday

*I can represent proportional relationships by equations, tables, and graphs.  *I can verify if two quantities are directly proportional. *I can solve real world problems using equivalent ratios. Opener: Write a letter or note (3-5 sentences) to another person, character, political figure, etc. telling him/her something you know or think about constant of proportionality.

*I can represent proportional relationships by equations, tables, and graphs.  *I can verify if two quantities are directly proportional. *I can solve real world problems using equivalent ratios.

*I can represent proportional relationships by equations, tables, and graphs.  *I can verify if two quantities are directly proportional. *I can solve real world problems using equivalent ratios. 1 2 2, 7 3, 6 3 4 1, 4 5, Discuss Extension: Choose one set of data that models a proportional relationship to create a story that describes the data in context.

*I can represent proportional relationships by equations, tables, and graphs.  *I can verify if two quantities are directly proportional. *I can solve real world problems using equivalent ratios. A D B E C F Extension: Choose one set of data that models a proportional relationship to create a story that describes the data in context.

2;The constant remains the same proportional *I can represent proportional relationships by equations, tables, and graphs.  *I can verify if two quantities are directly proportional. *I can solve real world problems using equivalent ratios. proportional 2;The constant remains the same x y 1 2 2/1 = 2 4 4/2 = 2 3 6 6/3 = 2 8 8/4 = 2 5 10 10/5 = 2 12 12/6 = 2 7 14 14/7 = 2 16 16/8 = 2 𝑘= 𝑦 𝑥

The change is NOT constant, it varies *I can represent proportional relationships by equations, tables, and graphs.  *I can verify if two quantities are directly proportional. *I can solve real world problems using equivalent ratios. Non-proportional x y 1 1/1 =1 2 4 4/2 = 2 3 9 9/3 =3 16 16/4 = 4 𝑘= 𝑦 𝑥 The change is NOT constant, it varies

proportional 6;The constant remains the same *I can represent proportional relationships by equations, tables, and graphs.  *I can verify if two quantities are directly proportional. *I can solve real world problems using equivalent ratios. proportional x y 1 6 6/1 = 6 2 12 12/2 = 6 3 18 18/3 = 6 4 24 24/4 = 6 6;The constant remains the same

*I can represent proportional relationships by equations, tables, and graphs.  *I can verify if two quantities are directly proportional. *I can solve real world problems using equivalent ratios. The relationship is NOT proportional because the “rate of change” is not constant as the ordered pairs change. It does not go through the origin. The relationship is NOT proportional because the “rate of change” is not constant as the ordered pairs change. It does not go through the origin.

28 140 ÷ 5 = 28 words per minute 196 ÷ 7 = 28 words per minute *I can represent proportional relationships by equations, tables, and graphs.  *I can verify if two quantities are directly proportional. *I can solve real world problems using equivalent ratios. 28 140 𝑤𝑜𝑟𝑑𝑠 5 𝑚𝑖𝑛𝑢𝑡𝑒𝑠 = 𝑝𝑒𝑟 𝑚𝑖𝑛𝑢𝑡𝑒 196 𝑤𝑜𝑟𝑑𝑠 7 𝑚𝑖𝑛𝑢𝑡𝑒𝑠 = 𝑝𝑒𝑟 𝑚𝑖𝑛𝑢𝑡𝑒 140 ÷ 5 = 28 words per minute 196 ÷ 7 = 28 words per minute

225 ÷ 9 = 25 pages per hour 192 ÷ 7 = 27.43 pages per hour *I can represent proportional relationships by equations, tables, and graphs.  *I can verify if two quantities are directly proportional. *I can solve real world problems using equivalent ratios. The rate is not constant 192 𝑝𝑎𝑔𝑒𝑠 8 ℎ𝑜𝑢𝑟𝑠 = 𝑝𝑒𝑟 ℎ𝑜𝑢𝑟 225 𝑝𝑎𝑔𝑒𝑠 9 ℎ𝑜𝑢𝑟𝑠 = 𝑝𝑒𝑟 ℎ𝑜𝑢𝑟 225 ÷ 9 = 25 pages per hour 192 ÷ 7 = 27.43 pages per hour

*I can represent proportional relationships by equations, tables, and graphs.  *I can verify if two quantities are directly proportional. *I can solve real world problems using equivalent ratios. Y = 4x is proportional because it is a straight line that goes through the origin. Y = 4x + 2 is NOT proportional because it does not go through the origin.

*I can represent proportional relationships by equations, tables, and graphs.  *I can verify if two quantities are directly proportional. *I can solve real world problems using equivalent ratios.