Topic 1 Block 3 - Mrs. Campbell's Class Page



Topic 1 – Block 4 Name _____________________

Guided Assessment & Constructed Response Date____________ Period ____

Shanda has applied for a clerical position with CIR Communications. Before

applying for the position, she read the online application and noted that applicants

should be able to type 60 words per minute (wpm).

To improve her chances of being hired, Shanda recently completed a typing course.

During the ten-week course, she recorded her speed in words per minute at the end

of each week. She decides to graph the data. She will bring the graph to her interview

so the company management can see how quickly she has improved her keyboarding

skills and how eagerly she wanted to learn the skill.

1. Shanda decided to review some terms before making her graph. Help her by completing each statement by filling in the words from the text boxes.

|dependent |independent |first |second |

Shanda knows that the x-axis usually contains the values of the _______________________ variable of the function rule. She also knows that usually the y-axis contains the values in the ______________________ variable of the function rule.

Use the table below to answer questions 2-5

2. Which speed quantity should Shanda represent on the x-axis in her graph, and why?

A. Typing speed, because the quantity is what she wants to improve.

B. Weeks of experience, because that quantity comes first in the table.

C. Typing speed, because Shanda’s improvement seems to depend on her weeks of experience.

D. Weeks of experience, because Shanda’s improvement in typing speed seems to depend on how much experience she has.

3. Which quantity should Shanda represent on the y-axis in her graph, and why?

A. Weeks of experience, because she knows how many weeks she has been typing.

B. Keyboarding speed, because that quantity comes second in the table.

C. Keyboarding speed, because Shanda’s improvement seems to depend on her weeks of experience.

D. Weeks of experience, because Shanda’s improvement in keyboarding speed seems to depend on how much experience she has.

4. Shanda realizes that her weeks of experience is the independent variable and her keyboarding speed (wpm) is the dependent variable. She has reached this decision about the two variables by understanding that her keyboarding speed depends on how many weeks she has been practicing.

What quadrant or quadrants on the coordinate plane should Shanda use to make her graph?

A. Quadrant I B. Quadrant II

C. Quadrant III D. Quadrant IV

E. all four quadrants

5. Shanda wants to construct a graph that will best display

these data. Set up the graph for her by filling in the blanks

using words from the text box.

|11 |Time |

|44 |0 |

|Speed in wpm |Weeks of |

| |experience |

Use the graph to answer questions 6-10.

6. Did Shanda graph the data correctly?

Write yes or no on the blank.

______________

7. According to the graph, during which one-week interval did Shanda most improve her keyboarding speed?

A. Between weeks 2 and 3 B. Between weeks 3 and 4

C. Between weeks 4 and 5 D. Between weeks 6 and 7

8. According to the graph, during which one-week interval did Shanda’s speed not improve?

A. Between weeks 2 and 3 B. Between weeks 3 and 4

C. Between weeks 4 and 5 D. Between weeks 5 and 6

9. What are the values of the independent variable for the function shown in Shanda’s graph?

A. [pic] B. [pic]

C. According to the graph, the independent variable can be any real number.

10. On this graph, Shanda can see the entire range of her improvements in keyboarding speed. However, she is only interested in the data for her problem situation (her keyboarding speed recorded at the end of each week). Which of the following values on the graph are values for the dependent variable for the problem situation? Select all that apply.

A. 18 B. 23 C. 26 D. 36 E. 40

Tommy’s English teacher told the class an old fable called The Raven and the Jug. The table is as follows:

A thirsty raven flew up to a water jug. Although there was water in the jug, the raven could not reach it. The wise raven then flew away and returned with a pebble. He dropped the pebble into the jug. He continued dropping pebbles into the jug. With each pebble, the water level rose. After a great deal of work on the raven’s part, the water level rose enough that the raven could drink water from the jug.

The moral of the fable is that persistence pays off.

1. Assume the raven used pebbles that were all about the same size. If you were to graph the rise of the water level in the jug, how would you set up the graph? Fill in the blanks using the text box.

|x-axis |dependent |y-axis |independent |

The number of pebbles is the ____________________ variable. This variable will be represented on the __________. The water level is the ____________________ variable. This variable will be represented on the ___________.

2. To explore the raven’s method, Tommy creates a simulation using a cylinder for the jug

and golf balls for the pebbles. The graph explores the relationship between the number of

golf balls (pebbles) and the cylinder (jug) and the height of the water.

Fill in the blanks using the words from the text

box to show the relationship between the

number of golf balls and the height of the

water. (Note: The ruler measures in cm.)

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