THIS IS With Your Host... Ratios and Rates Proportions Similar and Congruent Scale 100 100 100 200 200 300 Probability And Odds Counting Principle 100 100 100 200 200 200 200 300 300 300 300 300 400 400 400 400 400 400 500 500 500 500 500 500 Write the ratio in simplest form: 8 to 16 A 100 1 to 2 A 100 Find the unit rate: 150 miles 3 hours A 200 50 miles/hour A 200 Find the equivalent rate: 135 mi = x mi 2h 1 min. A 300 1.125 mi/min A 300 Find the unit rate. $.50/10 min. A 400 $.05 1min A 400 A plane goes 5040 miles per hour. How many feet will the plane go in 1 second? A 500 7392 ft./sec. A 500 3 x 5 15 B 100 x 9 B 100 7 x 16 32 B 200 x 14 B 200 14 8 35 x B 300 x 20 B 300 15 10 24 x B 400 x 16 This is tough work! B 400 0.7 14 2 x B 500 x 40 B 500 Find the ratio of the corresponding sides of figure A to B if the figures are similar. 4 8 6 3 C 100 2 to 1 That was easy! C 100 What does congruent mean? C 200 Two figures are congruent if they have the same shape and the same size! Naah, naah, naah naah, naah! C 200 x 35mm If these are similar, then find x. C 300 x 28mm C 300 DAILY Place A Wager DOUBLE C 400 A man is near a flagpole. The man is 74 inches tall. The man’s shadow is 26 inches long. The pole’s shadow is 80 inches long. How tall is the flagpole (nearest inch)? C 400 228 Inches C 400 If these are similar, find the length of x. C 500 8.5m C 500 A map has a scale of 1 in.: 5 km. If a distance is 6 inches on the map, how many km is that? D 100 30km D 100 If a drawing’s scale is 1cm : 3km, then how long on the drawing would 21 km be? D 200 7cm D 200 An architect drew a building with a scale of 1:42. A wall is drawn to be 3 inches. How long is the actual wall? D 300 126 inches D 300 A sofa is 8 feet long. The drawing of the sofa in a scale drawing is 3 inches. What is the scale? D 400 3in : 8 ft Or 1:32 D 400 You are building a model of a roller coaster. The scale is 1:47. The model is 4 feet high. How high is the real roller coaster? D 500 188 ft D 500 What is the probability of rolling a 3 on a die? E 100 1 6 E 100 What are the odds for rolling an even number on a die? E 200 3 to 3 or 1 to 1 E 200 What are the odds against rolling a 2 or 4 on a die? E 300 2 to 1 E 300 The word Mathematics is cut up by letter and put in a bag. What is the probability you will pull out a vowel? E 400 4 11 E 400 What is the difference between experimental probability and theoretical probability? E 500 Experimental probability is based on repeated trials. Theoretical probability is based on knowing all of the likely outcomes of an experiment. E 500 If you have 5 shirts and 3 pants, how many different outfits could you make? F 100 15 F 100 If there are 3 drinks, 4 main dishes, and 5 side dishes, how many different meal choices are there? F 200 60 F 200 If a car comes in two colors, three models, and seven interior designs, how many different combinations of cars are available? F 300 42 F 300 You spin a 4 number spinner once and a 5 number spinner once. What is the probability that you will get a 3 then a 2? F 400 1 20 F 400 You roll an 8 sided die and your friend rolls a 4 sided die. How many different outcomes are possible? F 500 32 F 500 The Final Jeopardy Category is: “Definitions” Please record your wager. How would you define corresponding parts? Sides or angles that have the same relative position in figures. Thank You for Playing Jeopardy!