I.S. 239 – Mark TwainName: ______

7______ID______Date: ______

HONORS Performance Task 2 Sheet 1: Slope From a Graph

Marie and Jackie are training for the Iron Man triathlon. They must train a lot since the event requires a 2.4-mile swim, 26-mile run, and 112-mile bike ride. The graphs of the two functions below show both Marie’s and Jackie’s training for the bike ride portion for the competition.

1a. Using the graph, calculate the slope for both Marie and Jackie.

Regardless of your chosen method to calculate the slope, show your work:

Marie

Jackie

1b. Explain, in full sentences, the meaning of each slope.

______

2. Write an equation that can be used to represent each of their graphs. Show all work and box your final answer.

Marie Jackie

3a. Explain what the point (0,0) means based on the given graphs.

______

3b. Explain what point (1, 16.2) and point (1, 22.5) mean for Marie and Jackie, respectively.

______

4. Based on the information gathered from the graphs, how long would it take for each to complete the 112-mile bike ride? Show all work and box your final answer.

Marie Jackie

I.S. 239 – Mark TwainName: ______

7______ID______Date: ______

HONORS Performance Task 2 Sheet 2: Slope From a Table

Table A. Table B.

x / 0 / 5 / 10 / 15 / x / 2 / 3 / 4 / 5
y / 0 / 1 / 3 / 3 / y / -8 / -12 / -16 / -20
  1. Which of the tables above represents a proportional relationship? In full sentences, explain how you know. (are ratios of y to x equal?) (pass through origin)

______

  1. For the above table that is not a proportional relationship, correct the incorrect entry in order to make it satisfy both conditions of proportional relationships. Enter your new table below:

x
y
  1. For your corrected table in part 2,

a.) Find the slope of the function using any method.

b.) Create the equation that correctly matches this table.

c.) Graph your equation and label your graph. (On graph paper)

d.) Create your own real-life scenario that can be represented by the values in the table.

  1. This will be the cover of your performance task – be creative and make it beautiful, as your presentation, neatness and effort is worth 10 points!

I.S. 239 – Mark TwainName: ______

7______ID______Date: ______

HONORS Performance Task 2 Sheet 3: Slope From 2 Given Points

Sammy is running low on pencils and needs some new ones for math class. She created the graph of a line representing the relationship between number of bags of pencils she could buy and the total number of pencils she would have. If two points on her graph were (2, 10) and (4, 18) what was the slope of her line? Show all work and box your final answer.

Work:

Create a function that can be used to represent Sammy’s graph. Show all work and box your final answer.

Work:

Sammy’s brother Matthew created a graph of a linear function with a slope of and the same y-intercept as Sammy’s graph. On the back of this sheet, graphically prove that Matthew’s function differs from Sammy’s and explain why it doesn’t apply to the situation described above.

Sammy’s GraphMatthew’s Graph

Explanation:

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