Chapter 3 Answers. Problem of the Week p a)

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1 Chapter 3 Answers Problem of the Week p a) How Much Water I Drank Number of glasses 8 b) For example, the data range would go from 3 to 1, so the broken line would move up. It would start at 3 and end at 9.. For example,, 1,, 1, 1,,,,, 1. The mode is. The mean is ; 8, 1, 1,,, 8, 8, 9, 9, 1. The mode is 8. The mean is 9. Chapter 3 Mental Math (Master) pp. 1. a) 1 b) 11 c) 3. Jan = 1; Feb = ; Mar = ; Apr = 3; May = ; June = ; July = 1; Aug = 9; Sept = 1; Oct = 8; Nov = ; Dec = a) b). a) 87 b) 3. a) 77 = ; 77 3 = ; 77 = b). a) 9 b) 1; 33; a) 1 b) Scaffolding for Getting Started Activity (Master) p. A. For example, Number of students For example, J. K. Rowling J. R. R. Tolkien Roald Dahl C. S. Lewis Mon Tues Wed Thurs Fri Sat Sun J.K. J.R.R. Rowling Tolkien Lemony Snicket Roald Dahl Author Day Authors of Favourite Books C.S. Lewis Lemony Snicket Each means students. Copyright by Thomson Nelson Chapter 3 Answers 7

2 3c-NEM-TG-ON-BLM-CH3 7/19/ : PM Page 7 B. For example, I chose a bar graph because it s easy to see how popular J. K. Rowling is compared to the other authors. For example, I used a pictograph because most of the numbers are multiples of 1, so it was easy to show the data with pictures. C. For example, I chose 1 unit = students because the bar for J. K. Rowling is 13 units and all the bars fit on the grid paper and are easy to see. D. For example, probably not. Many adults would probably not choose the Harry Potter books as their favourite book Scaffolding for Do You Remember? (Master) pp a) The intervals b) ; 9; 7; c) No. For example, we only know that the greatest number is somewhere between 3 and 39.. a) 1 cyclists; Thursday: 1; Monday: ; Tuesday: ; Wednesday: ; Friday: b) About 1 c) 1. For example, the greatest number of registrations was on Friday and the least was on Thursday.. On Monday, about half as many people signed up as on Tuesday. 3. For example, Race Registration Number of riders 3 1 Mon Tues Wed Thurs Fri Day of the week Scaffolding for Lesson (Master) p. 9. a) For example, Number of Pizzas Sold Over Days Monday Tuesday Wednesday Thursday Friday Each means pizzas. For example, a pizza; 1 symbol = pizzas; yes, the number of pizzas, sold on the other days can easily be represented by a scale of 1 unit = ; 8 1 b) For example, Monday: 8 = 1 R; so that s 8 whole + one quarter symbols; Tuesday: 9 = 18; so 9 whole symbols; Wednesday: 7 = 1 R; so 7 wholes + one quarter symbols; Thursday: 198 is close to and 1 =, so 1 whole symbols; Friday: 11 = R1; so 11 wholes + one half symbol. 7 Chapter 3: Data Management Copyright by Thomson Nelson

3 Scaffolding for Lesson 9 (Master) p. 7. a) The scale is 1 unit is = 1 score; yes, it s a good choice for a scale because there are only scores in all; there are data for scores; the title is Bowling Scores ; the horizontal axis is labelled Score ; the vertical axis is not labelled; the bars are not even widths; the intervals are not equal. b) For example, Bowling Scores Bowlers Score Chapter 3 Test (Master) pp a) For example,. Precipitation (mm) Precipitation Mon Tue Wed Thu Fri Sat Sun Year b) For example, I chose because the range is 1, which is a multiple of, and the day with the least precipitation is mm. c) For example, the trend is that the week started with no precipitation, then it sharply increased until Wednesday, which received the most precipitation, then it decreased. Favourite Kind of Music pop classical jazz rap Each means 1 people. 3. a) b) For example, I chose intervals of 1 because it is easy to count by tens, there are numbers that fall in each range, and you can start at and move up to 9, which includes all numbers in the chart. Copyright by Thomson Nelson Chapter 3 Answers 77

4 c) Number of jumping jacks Number of students d) Number of students Grade jumping jacks Number of jumping jacks. a) 3; For example, when I model the numbers with linking cubes and make them even, I get 3. b) ; For example, it s the number that appears most often. Chapter 3 Task (Master) pp A. For example, a broken-line graph lets you see trends easily. The line goes up and down when the data numbers increase or decrease. B. Swimsuit Village Sales 1 Number of swimsuits sold 8 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Month C. For example, the number of swimsuits bought each month begins to increase in April. The data increases until August, then it begins to decrease until November. D. For example, most people will buy a swimsuit in the summer when it is hot and they are swimming a lot. E. For example, in the summer because that s when most people are shopping for swimsuits. The store will be filled with customers then. Lesson 1 Answers (continued from p. 1) 1. a) For example, older students might choose a cell phone or a car radio. b) For example, senior citizens might choose the telephone to keep in touch with their family or the radio for entertainment. They wouldn t be likely to choose the Internet. c) For example, in some countries, Grade students might not have access to the Internet or a telephone, so that would affect which technology they could choose.. For example, probably not, because there will be new technologies that don t exist yet. 3. For example, because people of different groups will have different responses to the same survey, depending on their age, where they live, and their interests. 78 Chapter 3: Data Management Copyright by Thomson Nelson

5 Lesson Answers (continued from p. 19) 3. a) For example, the months in which precipitation increases in Cairns tend to be the months in which precipitation decreases in Calcutta and vice versa. b) No. For example, graphs with different scales would show the same precipitation at different heights. You would have to check the data, so you may as well use the table rather than the graph.. a) For example, High Temperatures in Ottawa Temperature ( C) b) For example, temperatures range from 1 C to 3 C. I decided to use a scale where 1 unit = C. Since my highest temperature is 3 C, I had to make the graph go to C, which meant I needed to show 8 units, which seemed reasonable. c) For example, temperatures increase from January to June and then decrease from July to December. d) For example, the lowest temperatures are in winter because that is the coldest season. The increase in temperatures from January to June is because the season is changing from winter to spring and then summer.. a) For example, here are the highest recorded temperatures in C for each month in North Bay. b) For example, Jan Feb Mar Apr May Jun Month Jul Aug Sep Oct Nov Dec Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Temperature ( C) Record High Temperatures Jan Feb Mar Apr May Jun Month Jul Aug Sep Oct Nov Dec c) For example, the temperature increases from January to July because the seasons are changing from winter to spring to summer. The temperature decreases from July to December because the seasons are changing from summer to full to winter. Copyright by Thomson Nelson Chapter 3 Answers 79

6 3c-NEM-TG-ON-BLM-CH3 7/19/ : PM Page 8 Lesson Answers (continued from p. 7). a) b) For example, I ll use bars; =. I m going to make the interval size because that s an easy number to add. c) Estimates of Number of Rhombus Patches Estimates Lesson Answers (continued from p. 31). a) American white pelican 1 circles b) redhead duck 7 3 circles blue-winged teal 9 1 circles ruddy duck 3 circles American white pelican 3 squares redhead duck 3 3 squares blue-winged teal 3 squares ruddy duck 1 squares. a) For example, Number of Pizzas Sold Over Days Monday Tuesday Wednesday Thursday Friday Each means pizzas. b) For example, Wednesday: 7 = 1 R; so 7 wholes + one quarter symbols 8 Chapter 3: Data Management Copyright by Thomson Nelson

7 Lesson Answers (continued from p. 37). a) Graph 1 b) Yes. For example, Graph 1 shows that participation in was between 3 and 31 or about 3 students. Graph shows that participation in was about 3 students. c) For example, probably Graph 1, because it suggests attendance is rapidly increasing and sponsors might be more interested in helping out in future science fairs.. a) For example, Annual Amount of Pop for each Person 1 Year b) For example, my graph shows the entire bar from to, while Sagitha s graph doesn t show that part of the bars. On my graph, the bars for 1971 and 1981 aren t as short as in Sagitha s graph. Skills Bank Answers (continued from p. 3). a) Paper: 1 1 bins; metal cans: 1 3 bins; glass bottles: 11 1 bins; plastics: 11 bins; no recycling done: 1 bins b) Paper: 1 bins; metal cans: 1 bins; glass bottles: 3 bins; plastics: 1 bins; no recycling done: bins c) For example, if each bin means homes, paper: 3 1 bins; metal cans: 3 1 bins; glass bottles: 3 3 bins; plastics: 3 3 bins; no recycling done: 3 1 bins. a) For example, the graph seems to exaggerate the amount of time Simone travels on Mondays and Fridays, compared with the other days. b) For example, Time (minutes) Amount (L) Time Spent Travelling This Week Mon Tue Wed Thu Fri Sat Sun Day of the week. a) The mean is and the mode is 1. b) The mean is and the mode is. c) The mean is 3 and the mode is.) Copyright by Thomson Nelson Chapter 3 Answers 81

8 Problem Bank Answers (continued from p. ) 3. a) Each circle means students. For example, there are whole circles and 1 circle to represent 1. Each whole must mean students because =. The other 1 students are shown as 1 of students. b) For example, or about 8 students.. a) For example, the differences between the heights of the bars stays the same but the bars will all be much higher. b) For example, there are about 11 people with 1 to 3 fish, about 1 people with to fish, about 11 people with 7 to 9 fish, and about 8 people with 1 or more fish. About 3 people answered the survey.. a) For example, 1, 1, 1, 3, ; mode = 1, mean =. b) For example, 3, 3, 3,, ; mode = 3, mean =. c) The new mode and mean are each more than the old mode and mean. d) I predict the mode and mean will be 3 greater if I add 3 to each number. For example,,,,, 7; the mode =, mean =.. a) For example, 1,,, 3 b) For example,,, 3, 7.,, 8 Chapter 3: Data Management Copyright by Thomson Nelson

Math 81 Graphing. Cartesian Coordinate System Plotting Ordered Pairs (x, y) (x is horizontal, y is vertical) center is (0,0) Quadrants:

Math 81 Graphing. Cartesian Coordinate System Plotting Ordered Pairs (x, y) (x is horizontal, y is vertical) center is (0,0) Quadrants: Math 81 Graphing Cartesian Coordinate System Plotting Ordered Pairs (x, y) (x is horizontal, y is vertical) center is (0,0) Ex 1. Plot and indicate which quadrant they re in. A (0,2) B (3, 5) C (-2, -4)