Beanie Babies. Name Date. How many spins until you have a complete set of Beanie Babies?

Name Date Beanie Babies 7 8 9 10 6 11 5 12 4 3 2 1 How many spins until you have a complete set of Beanie Babies? 1 Bear 2 Elephant 3 Calf 4 Snake 5 Cat 6 Dog 7 Horse 8 Koala 9 Kangaroo 10 Panda 11 Eagle 12 Rabbit In a local restaurant, after each visit, you get a box with a Beanie Baby packed inside. The toys are packed randomly, so you never know which one you have until you open it. Simulate each visit to the restaurant by spinning the spinner. Place a tally mark by the animal you win on each spin. Stop when you have at least one of each type. Complete the experiment one or more times. Combine your results with those of the rest of the class and make a box plot. What was the minimum number of visits to complete a set? What was the maximum number of visits? What was the median? What is the interquartile range? What does this mean in the context of this experiment? Page 244 Classroom Strategies Blackline Master IV - 1

Name Date Comparing Reaction Times Equipment: Procedure: Data: Calculations: 1 meter stick per group One member of the group holds the meter stick at the 100 cm end. Another member of the group places a hand at the bottom of the stick with thumb and forefinger each two-centimeters to the side of the 0 cm mark. When the person holding the top drops the stick, the other person, looking only at the bottom of the stick, catches the stick as quickly as possible by pressing thumb and forefinger together. After each catch, read the millimeter mark that is just visible above the thumb. Use this reading as an indication of the reaction time. Each group member will catch the meter stick three times. Determine the mean, median, and mode for your group. Calculate quartile 1 and quartile 3. Make a box and whisker plot for your group. Make the same calculations for the entire class. Compare the two box and whisker graphs. Name Reaction Time Classroom Strategies Blackline Master IV - 2 Page 245

Name Date Comparing Reaction Times Group Data: Mean Median Mode Quartile 1 Quartile 3 Box and Whisker Plot <- > 0 10 20 30 40 50 Class Data: Mean Quartile 1 Median Quartile 3 Box and Whisker Plot <- > 0 10 20 30 40 50 Comparison of the two graphs. Page 246 Classroom Strategies Blackline Master IV - 3

Name Date Sponge Toss Materials needed per group: a small rectangular sponge with a dot drawn or glued to its center a tape measure or meter stick paper pencil a target such as a dot on the floor masking tape Each group marks a target on the floor. A tape line is placed on the floor 2 meters from the target. Each member takes turns standing behind the tape line and tossing the sponge at the target. After each toss, the player estimates how far the target is from the sponge. Then another group member measures the actual distance. This is recorded as an ordered pair with actual measurement first and guess second. Each group member tosses the sponge. ten times and makes a scatter plot of his/her data. If time permits, repeat the experiment with the tape line farther away from the target. Have students examine and interpret their own scatter plots. Then each group should make comparisons among their various graphs and present their findings to the other students. Be sure to include the scale you use. Classroom Strategies Blackline Master IV - 4 Page 247

Name Date Complete the data table below for ten students. Arm span is the distance from finger tip to finger tip of two outstretched arms. Use centimeters as your unit of measurement. Arm Span Height 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 1. Graph the data on the grid below. 2. Why are the vertical and horizontal scales broken? 3. Which points show people with equal arm span and height? 4. Which points show people with arm span greater than height? 5. Which points show people with height greater than arm span? Arm Span vs. Height Height (cm) Z 0 Z Arm Span (cm) Page 248 Classroom Strategies Blackline Master IV - 5

Name Date Broadway Show Attendance 1. Graph the data on the grid below. 2. Draw a line that seems to fit the data. 3. According to your line, predict attendance for years 2000 2001 2002. 4. Find almanac data for 2000 and compare with your prediction. 5. Do you think the trend may be interrupted for 2001 and 2002? Why? Year Attendance (millions) 1991 7.3 1992 7.4 1993 7.9 1994 8.1 1995 9.0 1996 9.5 1997 10.6 1998 11.5 1999 11.7 Classroom Strategies Blackline Master IV - 6 Page 249

Name Date U.S. Public Schools Expenditure per Student 1. Graph the data on the grid below. 2. Draw a line that seems to fit the data. 3. According to your line, predict expenditures for years 1999 2000 2001. 4. Find almanac data for 1999 and 2000 and compare with your prediction. 5. What factors affect school expenditures? Year Expenditures (dollars) 1990 4980 1991 5258 1992 5421 1993 5584 1994 5767 1995 5989 1996 6147 1997 6392 Page 250 Classroom Strategies Blackline Master IV - 7

Name Date U.S. Births per Thousand Population 1. Graph the data on the grid below. 2. Draw a line that seems to fit the data. 3. According to your line, predict births for years 1999 2000 2001. 4. Find almanac data for 1999 and 2000 and compare with your prediction. 5. Discuss the graph and prepare a report on your findings. Year Births per 1000 population 1990 16.7 1991 16.3 1992 15.9 1993 15.5 1994 15.2 1995 14.8 1996 14.7 1997 14.5 Classroom Strategies Blackline Master IV - 8 Page 251

0 Name Date Winning Times in the Olympic 100-meter Backstroke 1. Graph the data on the grid below. 2. Draw a line that seems to fit the data. 3. According to your line, predict winning time for 2000. 4. Find almanac data for 2000 and compare with your prediction. 5. When do you think the winning time will break 50.0 seconds? Year Winning time (sec) 1948 66.4 1952 65.4 1956 62.2 1960 61.9 1968 58.7 1972 56.6 1976 55.5 1980 56.3 1984 55.8 1988 55.1 1992 54.0 1996 54.1 Z Z Page 252 Classroom Strategies Blackline Master IV - 9

The MODE 1, 1, 2, 2, 5, 1 The RANGE 1, 1, 2, 2, 5, 1 The MODE 4, 5, 6, 7, 7, 10 The MEAN 3, 3, 3, 31 The RANGE 1, 1, 2, 14, 5, 1 1, 1, 2, 2, 5, 7 The MAXIMUM 1, 1, 2, 2, 5, 1 10, 2, 8 The MODE 12, 15, 11, 13, 11 8, 10, 14, 18, 22 The MEAN 1, 1, 2, 2, 5, 7 The MINIMUM 16, 25, 6, 12 The MEAN 6, 14, 7 8, 10, 14, 22 The MEAN 22, 13, 10 Classroom Strategies Blackline Master IV - 10 Page 253

The MEAN 30, 20, 8, 6 The RANGE 4, 11, 23, 6, 12 The MODE 2, 2, 22, 16, 22, 22 The MEAN 12, 8, 70, 10 The RANGE 40, 55, 61, 68 17, 25, 44, 10, 5 MAXIMUM 3, 3, 3, 7, 14, 20 18, 18, 23, 25,27 The MODE 5,26, 5, 26, 26 16, 29, 42, 11, 50 The MODE 22, 18, 46, 18 The MEAN 22, 22, 30, 10 The MEAN 40, 20, 30, 6 15, 26, 28, 41 The MEAN 25, 25, 40 Page 254 Classroom Strategies Blackline Master IV - 11

The RANGE 37, 20, 8, 6 The MEAN 12, 12, 12, 100 The MODE 32, 53, 44, 10, 6 MAXIMUM 12, 12, 12, 14, 35 The MEAN 50, 30, 19 12, 30, 42, 56 MINIMUM 37, 4, 100, 37 The MEAN 100, 20, 20, 20 The RANGE 22, 56, 25, 65 5, 38, 44, 59, 2 The RANGE 10, 16, 51, 24, 19 41, 41, 47, 48 44, 44, 44, 39 17, 19, 89, 45, 42 The MEAN 70, 30, 30, 50 Classroom Strategies Blackline Master IV - 12 Page 255

MINIMUM The MEAN 50, 54, 46, 54 The MEAN 18, 100, 47 MAXIMUM 100, 100, 25, 10, 5 90, 8 The MODE 3, 50, 7, 10, 20 14, 49, 53, 68 MINIMUM 50, 52, 52, 59 The MEAN 10, 10, 20, 180 The RANGE 210, 244, 268 2, 4, 53, 68, 76 The RANGE 131, 100, 156, 122 41, 55, 63, 78 108, 92, 54, 66 60, 21, 89, 54 MAXIMUM 60, 30, 30, 50 Page 256 Classroom Strategies Blackline Master IV - 13

MINIMUM 124, 65, 156, 61 The MEAN 120, 8 The MODE 44, 42, 88, 80, 62 MAXIMUM 64, 65, 7, 10, 20 The MEAN 90, 50, 49 56, 60, 72, 89 MINIMUM 65, 67, 69, 67 The MEAN 100, 100, 100, 40, 10 The RANGE 300, 344, 373, 319 1, 2, 90, 99, 68 The RANGE 50, 99, 121, 82 70, 70, 86, 74, 86 94, 69, 89, 70 1, 7, 72, 75, 75 The MEAN 20, 80, 120, 80 Classroom Strategies Blackline Master IV - 14 Page 257

Group Discussion Cards Central Tendency Summer Job Hamburger restaurants are often competing to get good part time help. One store has jobs paying the following hourly wages. $5.85, $6.00, $6.00, $6.25, $6.50, $6.75, $7.50 and $18.50. Which method of central tendency is best to report this information? Does it make a difference if you are the restaurant manager or the potential employee as to which one best serves your purposes? Calculate mean, median, and mode and discuss the advantages and disadvantages of each. Bicycle Shop A bicycle shop is trying to restock for the summer. It is your job to find out which bicycle tires should be ordered. You have the previous month s sales to help you decide. Tire size Number sold 18 2 20 5 24 7 27 12 Calculate mean, median, and mode and discuss the advantages and disadvantages of each. Phone Bill Your dad tells you you can have your own phone if you pay the bill. He shows you a list of the calls you made on his bill during the past months. $12, $15, $16, $17, $17, $30, $52 Which method of central tendency is best to make a decision based on this information? Does it make a difference whether you are the dad or the son as to which one best serves your purposes? Calculate the mean, median, and mode, and discuss the advantages and disadvantages of each. Band Practice You need a place for your band to practice. Your mom says you can use the garage, if your band can pay for the electricity. You and the band discuss the amounts you have made from your performances in the previous months. July: $100 August: $80 September: $0 October: $90 November: $0 December: $300 January: $150 February: $75 March: $0 April: $0 Calculate mean, median, and mode and discuss the advantages and disadvantages of each. Page 258 Classroom Strategies Blackline Master IV - 15

Name Date Planning a Survey The students at Marvela Middle School want to change lunch procedures. The school is located within walking distance of a business area with more than five restaurants including hamburger, taco, and pizza stands. The students wish to be able to walk off campus for lunch. No more than 100 students would be at lunch at any given time. Currently about half of the students bring their lunch to school, about half of them eat in the cafeteria. The lunchroom staff, administration, student body, merchants, and parents all have differing opinions about this. The students decide to take a survey to gather information that may be helpful for all factions as they prepare to make a decision. What questions should be asked? How should the poll be conducted? In planning the survey consider the following factors: How expensive will this survey be, and who will pay for it? How many people should be surveyed? Who will be surveyed? How do you avoid bias in selecting those to be surveyed? What time constraints are there for the survey team? How do you keep from using too much time of those surveyed? How will you contact the participants? (phone, letter, on-site interviews, door-to-door interviews) In writing the questions consider the following factors: What questions should be included? Are they clear or ambiguous? Does the wording of the questions show bias toward the opinion of the surveyor? Does the wording of the question show bias by excluding some participants through use of vocabulary or phrasing? Are any operational definitions needed? Will you have time to field test and revise the questions? Note: Convenience Sampling is found by using whichever units of the population are easily accessible. Samples conducted in this way often lead to misleading conclusions. Voluntary response is an example of convenience sampling. This sampling occurs when individuals are asked to call in or write in. Classroom Strategies Blackline Master IV - 16 Page 259

Random Number Table 0 8 2 6 8 9 7 3 3 9 7 4 4 4 3 3 7 6 3 0 5 1 0 0 7 7 5 4 2 6 0 3 2 0 2 1 3 5 5 2 6 6 0 3 6 4 5 5 9 8 0 6 8 1 5 9 9 9 8 4 3 0 3 6 1 9 1 0 2 4 6 4 6 0 7 6 6 7 3 4 1 1 0 5 8 6 3 2 9 5 6 2 4 7 1 2 1 9 3 3 4 6 8 6 6 4 5 0 0 6 3 4 6 8 5 2 5 2 1 9 7 3 1 9 1 1 6 5 2 6 3 9 2 2 0 3 0 1 7 3 5 2 0 9 8 9 9 5 4 8 8 5 1 0 7 3 9 1 0 8 2 9 9 3 7 3 1 2 1 5 3 5 0 5 9 4 0 0 5 3 5 9 0 8 1 7 6 7 3 7 1 6 8 2 1 9 6 0 6 6 2 1 1 2 7 2 4 5 8 1 1 4 5 4 8 2 8 3 2 8 0 2 1 0 4 4 1 0 9 9 9 2 5 4 0 5 6 7 1 0 1 2 6 0 8 6 6 1 3 4 6 1 3 4 2 5 1 8 2 3 2 5 9 9 6 3 3 4 4 7 1 4 4 2 8 6 1 4 5 5 4 6 4 9 8 4 7 0 0 9 6 6 8 8 3 2 4 6 2 0 9 6 7 4 3 4 9 3 9 9 2 5 1 8 8 1 2 3 6 3 7 3 1 7 8 5 6 9 1 5 5 0 0 9 9 5 3 9 3 1 8 9 0 2 4 4 2 4 4 5 5 1 1 5 2 4 9 0 5 1 2 6 4 8 3 7 0 7 3 2 4 8 0 9 3 2 3 9 3 6 1 8 8 9 4 9 8 1 6 5 8 3 1 4 3 3 7 4 6 1 7 1 2 5 3 9 0 5 4 7 0 0 8 8 0 5 3 3 8 5 8 5 1 2 3 8 4 6 2 7 9 6 8 8 7 6 0 0 8 5 7 3 1 6 3 2 7 0 5 5 4 4 7 6 6 0 9 5 4 1 8 6 5 4 5 1 8 1 5 9 2 3 2 5 4 0 8 8 8 9 0 3 2 7 6 5 7 6 9 6 7 2 9 4 4 7 8 1 4 4 1 7 3 8 2 0 7 3 4 7 8 7 2 1 0 8 1 6 8 4 9 6 6 1 1 6 2 8 8 0 6 0 9 9 0 1 6 3 8 8 5 0 1 6 1 7 7 4 1 4 7 1 2 2 9 4 4 7 8 9 8 1 3 7 0 7 9 2 8 8 5 0 8 5 0 5 0 5 7 5 1 5 5 2 5 0 7 1 1 9 4 8 5 7 2 6 3 1 3 9 2 2 8 6 2 8 8 2 6 1 6 7 3 9 7 1 4 9 4 6 3 3 6 7 7 3 8 6 6 4 2 6 0 7 6 4 2 7 4 2 8 9 0 6 9 2 3 3 5 7 3 9 5 9 2 1 4 4 9 7 5 6 6 0 1 5 0 0 6 2 7 2 8 5 8 4 8 7 4 8 7 5 5 4 1 2 3 4 7 5 9 9 4 1 3 1 1 3 1 3 8 4 6 1 3 7 4 5 3 6 6 3 6 2 2 4 7 4 4 0 2 2 5 1 0 0 7 6 1 8 4 9 0 2 2 6 8 4 8 8 2 9 8 5 2 6 7 1 4 3 8 6 6 2 4 3 4 7 6 2 0 0 2 0 9 4 0 4 1 9 3 7 7 4 5 8 3 2 0 9 1 5 9 3 6 7 5 4 6 5 8 4 2 4 0 4 1 8 1 0 8 5 8 4 7 3 9 4 9 5 0 5 0 5 3 6 1 2 6 9 6 7 1 5 0 0 3 3 7 5 5 7 8 3 2 0 1 9 6 3 4 2 2 2 6 2 0 8 6 4 2 9 6 0 3 8 2 7 0 0 5 2 4 0 9 9 9 9 7 8 2 3 8 2 1 8 6 8 8 1 0 0 0 1 3 6 4 4 0 4 2 8 0 1 3 2 0 5 1 7 7 2 6 4 0 7 5 5 6 7 7 5 6 6 7 2 9 9 2 4 4 3 3 6 5 8 7 0 4 6 4 8 7 2 8 8 7 6 7 1 2 3 3 3 7 4 0 6 8 2 3 5 5 7 6 8 8 5 8 4 4 4 2 0 0 8 9 0 2 6 8 1 4 2 1 1 1 4 6 1 4 2 8 3 4 1 2 1 8 9 6 9 2 2 6 1 7 8 8 2 Page 260 Classroom Strategies Blackline Master IV - 17

Name Date Losing Your Marbles Marbles are dropped into the top of this device. After they pass through several junction points, they come out into one of the round containers at the bottom. At each junction point, there are two channels that the marble might follow. There is an equally likely chance that the marble will fall left or right at each junction. If 16 marbles are dropped into the top chute, how many are expected to end up in each of the round containers? What is the probability of a marble falling into each of the five circles? Use a coin to determine whether a marble will fall left or right (heads = right, tails = left). Simulate dropping 16 marbles into The top chute. Record your results. How does the expected compare with the actual results? Do you see a relationship between the theoretical outcome of this activity and Pascal s triangle? If this pyramid had one more row to make six circles at the bottom, how many marbles out of 32 would be expected to fall into each of thesix circles? Expected 1 2 3 4 5 Actual Probability of Falling into a Specific Circle Five circles: 1 2 3 4 5 Six circles: 1 2 3 4 5 6 Classroom Strategies Blackline Master IV - 18 Page 261

Two coins are tossed, what is the probability that both land heads up? Two coins are tossed, what is the probability that the two coins show the same side up (both heads or both tails)? Three coins are tossed, what is the probability that the three coins all land heads up? Three coins are tossed, what is the probability that the three coins show two heads and one tail? 1 2 3 Three coins are tossed, what is the probability that the three coins all show the same side up (all 3 heads or all 3 tails)? Four coins are tossed, what is the probability that the four coins all show the same side up (all 4 heads or all 4 tails)? 4 5 6 Four coins are tossed, what is the probability that the four coins all land heads up? Four coins are tossed, what is the probability that the four coins show one head and 3 tails? A quarter, a nickel, and a dime are in a bank. what is the probability that the quarter falls out first and the nickel falls out second? 7 8 9 Page 262 Classroom Strategies Blackline Master IV - 19

Two dice are rolled. What is the probability that the first one shows 2 and the 2 nd one shows 4? Two dice are rolled. What is the probability that the first one is less than 3 and the 2 nd one is more than 4? Two dice are rolled, what is the probability that the first one is even and the second one is odd? Two dice are rolled. What is the probability that the two dice show the same number? 10 11 12 Two dice are rolled. What is the probability that the first one is 2 and the second one is greater than or equal to 2? Two dice are rolled. What is the probability that the first one is less than 3 and the second shows an odd number? 13 14 15 Three dice are rolled. What is the probability that all three show a number one? Three dice are rolled. What is the probability that all three dice show the same number? Three dice are rolled. What is the probability that the first one is even, the second one is a six, and the last one is greater than 4? 16 17 18 Classroom Strategies Blackline Master IV - 20 Page 263

Two of the five students below are chosen randomly to attend a meeting. What is the probability that Dora is first and a boy is 2 nd? Two of the five students below are chosen randomly to attend a meeting. What is the probability that a boy is picked 1 st and a girl is 2 nd? Two of the five students below are chosen randomly to attend a meeting. What is the probability both names begin with D? Dora Roy Don Two of the five students below are chosen randomly to attend a meeting. What is the probability both are girls? Don Don Dora Dora Dolly Dolly Dolly David David Roy David Roy 19 20 21 Two of the five students below are chosen randomly to attend a meeting. What is the probability that both are boys? Two of the five students below are chosen randomly to attend a meeting. What is the probability that Don is first and Dolly is 2nd? Dora Don Don Don Dora Dora Dolly Dolly Dolly Roy David David David Roy Roy 22 23 24 Three of the five students Three of the five students Three of the five students below are chosen below are chosen below are chosen randomly to attend a randomly to attend a randomly to attend a meeting. What is the meeting. What is the meeting. What is the probability that all 3 are probability all 3 have probability that Roy is boys? names beginning with D? first, Dolly 2 nd, and David 3 rd? Dora Roy Don Don Don Dora Dora Dolly Dolly Dolly Roy Roy David 25 David 26 David 27 Page 264 Classroom Strategies Blackline Master IV - 21

If two gumballs are purchased, what is the probability of both green? If two gumballs are purchased, what is the probability of both white? If two gumballs are purchased, what is the probability of both yellow? Y G W W Y G W Y R W Gumballs 1 Red 2 Green 3 Yellow 4 White Y G W W Y G W Y R W Gumballs 1 Red 2 Green 3 Yellow 4 White Y G W W Y G W Y R W Gumballs 1 Red 2 Green 3 Yellow 4 White 28 29 30 If two gumballs are purchased, what is the probability of red first and yellow second? Y G W W Y G W Y R W Gumballs 1 Red 2 Green 3 Yellow 4 White If three gumballs are purchased, what is the probability of all 3 yellow? Y G W W Y G W Y R W Gumballs 1 Red 2 Green 3 Yellow 4 White If two gumballs are purchased, what is the probability of yellow first and white second? Y G W W Y G W Y R W Gumballs 1 Red 2 Green 3 Yellow 4 White If three gumballs are purchased, what is the probability of all 3 white? Gumballs 1 Red 2 Green 3 Yellow 4 White If two gumballs are purchased, what is the probability of red first and green second? Y G W W Y G W Y R W Gumballs 1 Red 2 Green 3 Yellow 4 White 31 32 33 Y G W W Y G W Y R W If three gumballs are purchased, what is the probability of getting the red ball as one of the three? Y G W W Y G W Y R W Gumballs 1 Red 2 Green 3 Yellow 4 White 34 35 36 Classroom Strategies Blackline Master IV - 22 Page 265

If the cards are placed in a hat and two drawn out, what is the probability that both are blue cards? If the cards are placed in a hat and two drawn out, what is the probability of a vowel first and a consonant second? If the cards are placed in a hat and two drawn out, what is the probability of an E first and an A second? ELA I NE ALAN White cards Blue cards ELA I NE ALAN White cards Blue cards ELA I NE ALAN White cards Blue cards 37 38 39 If the cards are placed in a hat and two drawn out, what is the probability of an L first and an N second? If the cards are placed in a hat and two drawn out, what is the probability of an E first and a vowel second? If the cards are placed in a hat and two drawn out, what is the probability of an I first and a white card second? ELA I NE ALAN White cards Blue cards If the cards are placed in a hat and two drawn out, what is the probability of a white card first and an E second? ELA I NE ALAN White cards ELA I NE ALAN Blue cards White White cards cards 40 41 42 Blue cards If the cards are placed in a hat and three drawn out, what is the probability of all 3 A s? ELA I NE ALAN White cards Blue cards Page 266 Classroom Strategies Blackline Master IV - 23 ELA I NE ALAN ELA I NE ALAN White cards Blue cards If the cards are placed in a hat and three drawn out, what is the probability of all 3 white cards? Blue cards 43 44 45

If the spinner below is spun twice, what is the probability that it lands on a 3 first, and a 2 second? If the spinner below is spun twice, what is the probability that it lands a 2 both times? If the spinner below is spun twice, what is the probability that it lands on a 3 both times? 3 1 2 3 1 3 1 2 46 47 48 2 If the spinner below is spun twice, what is the probability that it lands on a 4 first and a 2 second? If the spinner below is spun twice, what is the probability that it lands on a 1 first, a 2 second, and a 3 third? The spinner below was spun ten times, and it landed on 1 each time. What is the probability that it will land on a 1 the next time it s spun? If the spinner below is spun 3 times, what is the probability that it lands on a 3 all 3 times? If the spinner below is spun 3 times, what is the probability that it will land on a 1 each time? 4 3 1 3 1 4 3 1 2 2 2 49 50 51 If the spinner below is spun 3 times, what is the probability that it will land on 2 the first 2 times and on 3 the last time? 3 1 2 3 1 3 1 2 2 52 53 54 Classroom Strategies Blackline Master IV - 24 Page 267

Name Date Oops! Answers 1. 1 4 10. 1 36 19. 3 20 28. 1 45 2. 1 2 11. 1 9 20. 3 10 29. 2 15 3. 1 8 12. 1 4 21. 3 5 30. 1 15 4. 3 8 13. 1 6 22. 1 10 31. 1 30 5. 1 4 14. 5 36 23. 3 10 32. 2 15 6. 1 8 15. 1 6 24. 1_ 20 33. 1 45 7. 1 16 16. 1_ 216 25. 1 10 34. 1 120 8. 1 4 17. 1 36 26. 2 5 35. 1 30 9. 1 6 18. 1 36 27. 1 60 36. 3 10 37. 1 3 38. 4 15 39. 1 15 40. 2 45 41. 1 9 42. _2 45 43. 4 45 44. 1 120 45. 1 30 46. 1 8 47. 1 4 48. 1 16 49. 1 12 50. 1 4 51. 1 216 52. 1 36 53. 1 27 54. 1 12 Page 268 Classroom Strategies Blackline Master IV - 25

Oops! Game Board Free Turn Oops! Finish Start Slide Ahead Oops! 4 5 0 3 1 2 Slide Ahead Free Turn Slide Ahead Oops! Free Turn Classroom Strategies Blackline Master IV - 26 Page 269

Name Date My Word! Group member A B Task Spin the letter spinner Toss Heads for a vowel: Heads = A Tails = I P B T C Toss for a letter: Heads = B Tails = N S M What is the probability that we make a word. Make a tree diagram to show the possible words. What is the probability of making a word? B T M S P Page 270 Classroom Strategies Blackline Master IV - 27

Name Date II. Do the experiment 25 times. What percentage of the time did your group form a word? Check here if you formed a word 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. III. Compare theoretical probability with experimental probability. IV. Would you play this game? What if a carnival had this experiment as a game? To play you pay 50 cents, and if you make a word, you win 75 cents. Discuss the fairness of this game and the wisdom of playing or running the game. Classroom Strategies Blackline Master IV - 28 Page 271

Spin to Win! 2 5 10 Number of Coins Type of Coin Page 272 Classroom Strategies Blackline Master IV - 29

Name Date Spin to Win! You are going to conduct an experiment in which you will spin both spinners and record the value spun, for example, if you spin a 2 and a dime, you will record 20 cents. 1. What are the possible outcomes? What is the probability of each outcome? 2. Now conduct the experiment 36 times and record your results in the table below. Trial# Coin Number Value Trial # Coin Number Value Trial # Coin Number Value 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 3. How did your actual results compare with the experimental? 25 26 27 28 29 30 31 32 33 34 35 36 4. Now make a pie chart of your results. Show the number of times you got exactly 50 cents, more than 50 cents, and less than 50 cents. 5. Calculate the probability of getting exactly 50 cents, less than 50 cents, more than 50 cents. How does this compare with your pie chart? 6. Suppose this were a carnival game. You must pay 55 cents to play it, and you win what you spin? Discuss the fairness of this game and the wisdom of playing it or running it. Classroom Strategies Blackline Master IV - 30 Page 273

Name Date Catching Fish The container provided for your group contains all the trout in a lake. The Wildlife Commission has asked you to estimate how many there are. Procedure: 1. Count out 20 blue marbles (or other items as designated by your teacher) and place them into the container. Close the container and mix well. (These items represent tagged trout that the wildlife manager puts into the lake.) 2. Use the cup provided (a half cup measure for example) and dip into the bag removing a sample of marbles. (This represents the wildlife managers sampling fish.) Repeat this sampling several times. After each trial, return the captured trout to the lake. Record the results below. Trial # 1 2 3 4 5 Total number of Marbles Number of tagged marbles % of tagged marbles 3. Average the results from the five trials above. Use this as an experimental value for Probability(catching a tagged fish). 4. Use the equation below to calculate an estimate of the number of trout in the lake. P(catching a tagged trout) = Number of tagged trout in the lake Number of total trout in the lake 5. If time permits, exchange containers with another group and repeat the experiment. Compare your results with those of the other group. Page 274 Classroom Strategies Blackline Master IV - 31

Name Date Box Plots and Scatter Plots - 8th Grade 1. Test scores: 55, 70, 67, 93, 100, 85, 85, 60, 72 a) Construct a box plot. 50 55 60 65 70 75 80 85 90 95 100 b) median = c) lower quartile = d) upper extreme = e) range = 2. Arm span (cm) Height (cm) 146 150 166 161 173 181 162 162 170 168 167 170 a) Construct a scatter plot from the data above. b) What type of relationship (correlation) exists, if any? (positive, negative, none, can t determine) c) Sammy is 165 cm tall. Based on the data above, predict his arm span. 3. Joe s history grades are: 100, 80, 0, 95, 77, 80, 85, 92. The teacher has given Joe the choice of the mean, the mode or the median for his report card grade. Which should he choose? Explain. 4. The PTO is trying to decide how to use fundraiser money. One idea is to paint the goal posts in school colors. They ask four people their opinion: the father of the quarterback, the mother of the place kicker, captain of the team, and the coach. Discuss what you think of the polling procedure used by the PTO. Classroom Strategies Blackline Master IV - 32 Page 275

Name Date Probability - 8th Grade There are 3 blue, 8 red, 2 yellow, and 7 green marbles in a jar. 1. If you draw a marble out without looking, what is the probability that the marble is red? 2. What is the probability that the marble is blue or yellow? 3. You and 11 friends are playing a game of musical chairs. Each time the music stops, one person is left without a chair. Assuming you are still in the game, what is the probability that you will be the one without a chair the fifth time the music stops? 4. If you toss a penny 20 times, what is the probability that you will toss heads on the fifth try? 5. If you toss a nickel, dime and a quarter, what is the probability that all three will come up heads? The following chart shows information about students attending a summer camp. Boys Girls total 12 or older 24 36 60 under 12 50 40 90 total 74 76 150 You are assigned to be counselor to one of the students. The selection is totally random. 6. What is the probability you will be assigned a girl? 7. What is the probability you will be assigned a camper under 12? 8. What is the probability that you will be assigned a boy camper under twelve. 9. What is the probability that you will be assigned a girl OR a camper 12 or older? 10. If you know you will be assigned a camper under 12, what is the probability it is a boy? Page 276 Classroom Strategies Blackline Master IV - 33

Name Date Geometry Problem Solving Categories Measure Algebra Problty/ Stats 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500 Classroom Strategies Blackline Master IV - 34 Page 277

GEOM 100 GEOM 400 GEOM 300 GEOM 200 GEOM 500 Point A is directly underneath the kite. Point B is 300 feet from Point A. The kite string is 375 feet long. How high is the kite? A B A fence post which is 8 feet high casts a shadow 6 feet long. How tall is a tree which casts a 15 foot shadow? Figure ABCD is similar to figure PQRS. Give the coordinates of point S. D A P C B Q R A B C O Angle Q is the complement of Angle AOC. Ray OB bisects angle AOC. If the measure of angle Q is 40, find the measure of angle AOB. A B S D C R P Q AP // BQ. If angle RCP is equal to 35 degrees, what is the measure of angle CDB? Page 278 Classroom Strategies Blackline Master IV - 35

PATT 300 PATT 500 PATT 100 PATT 400 PATT 200 Which of the following statements illustrates the distributive property? a) a + (b+c) = (a+b) + c b) a(b+c) = (ab) + (ac) c) a(b+c) = (b+c)a 2 Use the rule (n, (n+3) ) to continue this pattern: (0, 9), (1, 16), (2, 25), (, ), (, ). A certain baseball team has some rookies and some veterans. The formula: 27-2r tells how many hits the team can expect in a game if r is the number of rookies starting in the game. How many hits can be expected if the team has 6 rookies starting? Find 3 ordered pairs to fit the equation: 2x + y = 7. The following ordered pairs fit a certain equation. Is this equation linear? (0,1),(1,2),(2,3),(-1,2) Classroom Strategies Blackline Master IV - 36 Page 279

A frame just fits around a picture which is 36 cm tall and 24 cm wide. If the frame is 6 cm wide all around, find the area of the frame. The distance from city A to town B is 1.09 km. How many meters is this? MEAS 300 MEAS 500 MEAS 100 MEAS 200 MEAS 400 What tool should you use to measure the circumference of a basketball? To what degree of accuracy will you be able to measure? Find the surface area of a right circular cylinder with a radius of 4 cm and a height of 6 cm. What happens to the surface area of a cube when the edge is doubled? Page 280 Classroom Strategies Blackline Master IV - 37

3 married couples are to be seated in 6 chairs in a row. How many ways are there to seat the people if husbands and wives must be seated next to each other? Mary can earn 6% interest per year on her savings account. If she puts $30 per month into her account on Jan 1, how much money will she have after 8 months? Interest figured at the end of eight months. PROB 300 PROB 400 PROB 100 PROB 500 PROB 200 Jim is reading the announcement for a class trip. It states that all class officers are allowed to go. Jim regrets that he cannot go because he is not a class officer. What do you think about his reasoning? Segments Points 1 2 3 4 5 0 1 3 6? A punch recipe for 20 people requires 1.5 cups of pineapple juice. How much pineapple juice is needed to make enough to serve 150 people. If pineapple juice comes in 48 ounce cans, how many cans should we buy? Classroom Strategies Blackline Master IV - 38 Page 281

DATA 400 DATA 100 DATA 200 DATA 500 DATA 300 John and Matt each tossed a penny 10 times and estimated how far it was from the wall. Then they measured how far it was from the wall. A scatter plot is made showing estimation and actual measurement. What conclusion can you draw? John Estimate 50 Estimate 50 50 Actual 50 Actual Matt Make two sets of data with 5 numbers each. Choose the numbers so that both sets have a median of 30, but one has a mean of 30 and the other a mean of 130. Mel has written the prime factors of 210 on separate index cards. Jo does the same with prime factors of 3003. If the cards are placed in a hat and one card is drawn, what is the probability of drawing out a factor of 210 but not 3003? A student survey to explore participation in sports events asks students if they live near the school. Is this a good question? Why or why not? A coin is tossed 3 times. What is the probability of getting heads exactly 2 times? Page 282 Classroom Strategies Blackline Master IV - 39

Square Game 1 15 6 11 19 22 2 20 10 5 7 14 3 23 13 24 21 16 4 18 12 8 17 25 9 Classroom Strategies Blackline Master IV - 40 Page 283

Find the perimeter of each figure. Find the perimeter of the tenth figure in the pattern. 10 21 Find the next number in the pattern. 1, 4, 8, 11, 22, 25, 50, 53, 106, Find the number at the top of the tower. 12-2 5 3-5 -2 7 Find the next number in the pattern. 24-4, 3, -1, 2, 1, 3, Which property is illustrated below? 2x = x 2 1 Associative, Commutative, or Distributive? Page 284 Classroom Strategies Blackline Master IV - 41

Which property is illustrated below? 3(2 x) = (3 2)x 13 Associative, Commutative, or Distributive? 11 14 9 Which property is illustrated below? 24( 3 / 4 + 2 / 3 ) = 24( 3 / 4 ) + 24( 2 / 3 ) Associative, Commutative, or Distributive? The graph compares the costs of taxi service from Company A and Company B. When is it cheaper to use Company B? Find the surface area of the cube shown. Cost in Dollars 10 0 A B 5 10 15 20 25 Number of Miles 3 in. 2 Which of the following figures MUST have 3 congruent angles? Square, rectangle, equilateral triangle, parallelogram, isosceles triangle? Classroom Strategies Blackline Master IV - 42 Page 285

15 A letter P is drawn on graph paper so that the base of the P is at the origin. How will this figure look when rotated 90 about the origin? (Draw it.) Which pair of triangles is congruent? 25 A B C D E Which pair of quadrilaterals is similar? 8 3 A B The distance from Acton to Beton is 40 miles. On a map this distance is 0.8 inches. On the same map, the distance from Acton to Candler is 1.9 in. What is the actual distance from Acton to Candler? A soup can has a diameter of 3.4 inches. The can is 5 inches tall. Find its volume. C D E 16 Page 286 Classroom Strategies Blackline Master IV - 43

7 18 22 4 Name two congruent segments in the figure shown. H E A D A soup can design is changed so that it is twice as tall as before, but the radius is the same. How will the volume change? A soup can design is changed so that the height is the same as before, but the radius is doubled. How will the volume change? A soup can design is changed so that both the height and radius are doubled. How will the volume change? F B G C 17 The distance from Acton to Barberville is 120 miles. On a map this distance is 1.5 inches. The actual distance from Concord to Morristown is 80 miles. How far apart are Concord and Morristown on the map? Classroom Strategies Blackline Master IV - 44 Page 287

20 23 6 5 19 In this box, AB is 15 cm, AD is 8 cm, find DB. H E A D In this box, AB is 15 cm, AD is 8 cm, DH is 10 cm. Find the H E volume of the box. F In a photograph, the height of a tree is 4.5 in and the length of its shadow is 1.6 inches. If the real tree has a shadow of 8 feet, how tall is the real tree? The surface of a large wooden block is painted red. If the block is sliced up into 64 smaller, congruent cubes how many of them have no paint on any surface? A F D B G C G C B A ladder 20 feet long leans against a building. The foot of the ladder is 12 feet from the building wall. How far up the side of the building does the ladder reach? Page 288 Classroom Strategies Blackline Master IV - 45