Station 1 For the graphs that are proportional

Station 1: For the graphs that are proportional, write the equation in the form y = kx. If the graph does not show a proportional relationship, write NP (not propoertional). If k is not a whole number, write it as a fraction (not decimal). A. B. C. D. Station 2: For the tables that are proportional, write an equation using the variables given. If the table does not show a proportional relationship, write NP (not proportional). A. Relating w (weight) and d (distance) C. Relating t (time) and d (distance) Time (sec) Distance (in) 4 5 6 7 1/2 5/8 3/4 7/8 B. Relating m (months) and d (dollars) Months 2 4 6 8 $ Spent on Cable 82 180 300 520 D. Relating t (time) and d (distance) Time Distance 1 1½ 2 3 3 4½

Station 3:

Station 4: Station 5: Station 6:

Station 7: Car or Motorcycle? The table gives information on the world’s fastest car and fastest motorcycle. Suppose the car and motorcycle race for 10 minutes at the rates shown. Which vehicle would win the race (that is, which vehicle would travel farther)? What would be the margin of victory? 1) A. Find the unit rate of the car B. Find the unit rate of the motorcycle C. Which vehicle is faster? 2) A. Complete the given tables for the car and motorcycle. B. Are the relationships proportional? C. What is the constant of proportionality for the car? D. What is the constant of proportionality for the motorcycle? E. Write an equation relating time and distance for the car. F. Write an equation relating time and distance for the motorcycle. G. Use your tables and/or your equations to graph the relationship for the car and the relationship for the motorcycle. Graph both relationships on the coordinate plane given. 3). A. Use your tables or equations to determine how far each vehicle travels in 10 minutes. B. Complete the table provided to find the margin of victory. C. Speeds of cars and motorcycles are most familiar when they are written in miles per hour (mi/h). Use these tables and proportional reasoning to find the speed of each vehicle in miles per hour.

Station 8 Mixing Paint The students in Ms. Baca’s art class were mixing yellow and blue paint. She told them that two mixtures will be the same shade of green if the blue and yellow paint are in the same ratio. The table below shows the different mixtures of paint that the students made. 1) How many different shades of paint did the students make? ______ 2) Some of the shades of paint were bluer than others. Which mixture(s) were the bluest? Show work or explain how you know. 3) Carefully plot a point for each mixture on the coordinate plane. Label each point by letter. 4) Draw a line connecting each point to (0, 0). What do the mixtures that are the same shade of green have in common? Station 9 If an object has constant speed, then the speed can be computed by the change in distance divided by the change in time (meters per second). Information about objects A, B, C and D are shown. Objects A, B, C and D all have constant speed. Find the speed of each object. Based on the information given, list the object names in order from greatest speed to least speed.

Station 10: Speedy Reading On Friday, three friends shared how much they read during the week. • Barbara read the first 100 pages from a 320 -page book in the last 4 days. • Colleen read the first 54 pages from a 260 -page book in the last 3 days. • Nancy read the first 160 pages from a 480 -page book in the last 5 days. 1) Find the reading speed of each friend. 2) List the friends’ reading rates in order from fastest to slowest. 3) Find the number of days it will take each friend to finish her book if the three friends continue to read everyday at their rates. 4) Order the friends from first finisher to last. (This is not the same answer as number two because their books are different lengths!) Station 11 Mr. Townsend, Ms. Bennett, Mr. Krahn and Mrs. Bryand are planning a huge party for all the teachers at Heritage. They are planning to bake cookies for the party, but they need to make sure they have enough cookies, so they will have to increase the recipe proportionally. Which of the teachers will have a recipe that tastes the same as the original? Cups of Butter Cups of Sugar Cups of Brown Sugar Cups of Chocolate Chips Original Recipe Mr. Townsend’s 1 3 Ms. Bennett’s Mr. Krahn Mrs. Bryand Station 12 1) A. Fewer than 10 40 B. Between 10 and 24 C. Between 25 and 40 D. More than 2) Each bag contains two pencils and 30 index cards. How much will each bag cost? Round to the nearest penny if needed.

Station 13 Decide which of the lines show a proportional relationship or not. Use the coordinate if needed. Line A contains points (1, 3) and (4, 3) Line B contains points (2, 6) and (1, 3) Line C contains points (0, 9) and (2, 7) Line D contains points (2, 3) and (10, 15) Line E contains points (3, 1) and (9, 3) Line F contains points (2, 8) and (4, 6)

Name____________ Proportionality Stations Station 1: A. ________ Station 5: B. ________ C. ________ D. ________ Station 2: A. ________ B. ________ C. ________ D. ________ Station 3: Drinks _________ Proportional? ______ Why or why not? ___________________________ Station 4: Josiah ______________ Tillery Station 6: A. ________ B. ________ C. ________ Proportional? ______ Why or why not? D. ______________________________ ______________ E. ______________________

Station 7: 1) A. _______ 2) A. B. _______ C. ____________ Car Time (min) 1 2 Distance (mi) B. ________ Motorcycle 3 4 5 Time (min) B. C. 2 3 Distance (mi) C. ________ E. ________ F. _________ 3) 1 D. _________ G. A. Car _______ Motorcycle ______ 4 5

Station 8 1) _______ Name_________________ Proportionality Stations Part 2 2) _______ 3) Station 11 _________________________________ Station 12 1) _____________ 2) _____________ 4) __________ Station 9 A _______ B _______ Station 13 Lines that are proportional: C ____________________ D _______ Lines that are not proportional: Least to Greatest: ____________ Station 10 1) Barbara _______ Colleen _______ Nancy _______ 2) ________________ 3) Barbara _______ Colleen _______ Nancy ____________________