ZMath 150  - Unit 32: Constructing a Circle Graph and Analyzing Complex Graphs
Survey ten persons about the type of music they like best. Give them four choices. You may want to have an “other” category in case they do not like any of your choices. Make sure you organize your data.

1) Make a tally chart to keep track of the responses. What are the results of the final tally for each of the four categories?

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2) Once you tally all of the responses, write fractions to find what fractional part of the whole each category equals. What fraction did you get for each category?

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3) Then multiply each of the fractions times 360 degrees. What degrees did you get for each category?

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4) Once you figure the size in degrees for each piece of the circle, make a circle graph. Describe the circle graph. Which category expands over the largest portion of the graph? Which category takes up the least portion of the graph?

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5) Add a title and labels and some extras to make the graph appealing for all to see. Share your graph with the persons you surveyed. Describe your circle graph.

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6) Did you get any unexpected results? If you were doing this survey again, how could you improve it?

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7)

Ronald observed some cars that passed by his house one afternoon. He decided to keep a tally of the number of red, white, and black cars to see which car color occurred most often. He then made two graphs about his data. Which graph do you think is most effective in displaying the data? Give at least two reasons why you think it is the most effective way to graph the data.


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8)

Which of the following bar graph groups represents the data from the circle graph? State the letter of your choice and explain how you decided your choice.


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Sandra took a survey of the two fifth grades to see which board game they liked best. This graph displays the results. Use the graph to answer questions #9 through #15.


9) Which game was liked best in both classes?

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10) Which game was liked by the same amount of students in each class?

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11) How many students like Scrabble in Grade 5A?

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12) How many students liked Scrabble in Grade 5B?

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13) How many more students like Scrabble in 5A than in 5B?

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14) Which game was liked least in both classes?

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15) What was the total number of students surveyed in each class?

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Review

16)

Name the given shapes. Choose from cube, rectangular prism, and pyramid. State the letter and then the name of the shape.


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17) Circumference is:

18)

Which formula below will not give circumference? State the letter of the correct answer.


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19)

What is the ordered pair for each of the points graphed below? For example, the ordered pair for V is (4,3). State the other points along with their ordered pair.


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20) What type of graph would best show that the overall popularity of a certain flavor of soda pop is on the decline?

21) You have been asked to wrap the box below for a birthday present. What are the BEST dimensions for a single sheet of wrapping paper, allowing for overlap? Choose from the following: (a.) 5 by 16 (b.) 6 by 14 (c.) 9 by 18 or (d.) 12 by 22 (Hint: Find some old newspapers, old Christmas wrapping paper, plastic bags, or paper bags and actually try to wrap a box that is close in shape to a cube. Observe how wide the paper must be and how long it must be to just cover the cube. Then, apply what you observed to solve this problem. ) Explain how you solved the problem.

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22) At Lincoln Elementary School, the average height of the second grade class was 37 inches. Over the summer, EVERYBODY grew exactly three inches. What was the average height of the group when they came back to school in the fall?

23) What is the difference between the median and mean of a set of data?

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24)

The hands of a clock form a 90 degree or right angle at three o’clock. At which of the following times do the hands of the clock form angles greater than 90 degrees (obtuse angles).


25)

Find the sum.


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