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Perform parallel calculations to find equal slopes. Using the formula for the equation of the tangent line to a point, the resource sets out to find two points with a difference of one that have parallel tangent lines.The 25th video in a series of 31 calculates both tangent line equations. Setting the two slopes together, the presenter finds the values that have parallel tangent lines.
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Instructional Ideas
- Lead a discussion on whether there is a simpler method
Classroom Considerations
- The class should remember the relationship between the slopes of parallel lines
- Individuals should be able to solve quadratic equations
- This video is hosted on YouTube
Pros
- Shows all the steps in the process of simplifying the expressions
- Makes connections with the equations of the tangent lines
Cons
- Uses a more complex solution path than an easier, direct path