The Big Climb @ PCMS

In the following problem four students will be climbing the stairs in our school. Be prepared to make a prediction about the four students and their climbing. This problem will take some time. Use all of the knowledge that you have acquired during Chapter 2 and apply it to this problem. Once you followed all of the directions for one climber you will repeat the process for the other climbers.

Watch the video below to predict which student will climb to the top faster...


Submit your guess here!



Watch the video below and answer the following subproblems in your notes...

1. If all climbers are starting at the bottom of the stairs, and the bottom represents sea level, what is the elevation of each hiker at the beginning?

2. If "x" represents seconds climbing, and "y" represents number of stairs that they climbed, start an x→y table to represent data from the climbers. Use the template FOUND HERE to complete the table.

3. What is the elevation in number of stairs for Climber L after one second? two seconds? After three seconds? After four seconds? After five seconds? Write the ordered pairs in your x→y table that represents Climber L's progress.

4. Write a variable expression representing Climber L's progress.

5. Use your table and what you have learned from silent board problems to find the rule that applies to Climber L ascent.

6. Use your rule to calculate the remaining climb and complete the table. There are a total of 21 steps to climb.

7. Graph the information from your table. Be sure to label all axis and title. Use the correct intervals on your scale.

8. Draw a continuous line through the points on your graph.

9. At Climber L's rate (your expression), how long will it take for her to reach the top of the stairs? 

10. Complete steps 1-9 for Climbers D, K, and G. There information should be on the same table and graph as Climber L. What would be a good idea so that each climber's data is clearly understood on the graph?

11. After completing, all the work...who do you calculate will make it to the top first? Submit Your Answer

12. See the video below to discover who reaches the top first!

13 Writing Prompt: