The Exercise Bike Problem Jennifer Bostic Schmalzbach MATH 565 Adapted from a lesson idea from Dr. Bardzell
Student Outline Objective: Students will explore the relationship between work and “steepness” of the landscape by sketching a graph of the elevation required to achieve a sample exercise bike workout Warm-up: Sketch a graph that demonstrates a positive or negative correlation between two variables. • Discussion: exercise bikes, effort, and reading the screen of an exercise machine • Activity: You will be asked to sketch the landscape that would be responsible for the workout that you are presented • Discussion: the relationship between effort and elevation, the relationship between effort and “steepness”
Summary Question Create a sketch of the landscape elevation that would be required for this exercise profile.
Differentiation • There are times throughout the lesson for the teacher to have a 1 on 1 conversation and lesson with students that struggle • Students that lack the vocabulary and background knowledge for a discussion on slope can discuss the activity in terms of “steepness” • Alternate Activity: Some students may find it difficult to go from the abstract (bike screen) to the real world (elevation). Alternatively, some students could be given the assignment in reverse. With a given elevation sketch, they would have to chart the effort required over time to ride the terrain