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Ninth graders know how to solve a system of linear equations, but what happens when the system involves an exponential function? The instructional slideshow teaches viewers to determine solutions to systems of equations with linear and exponential functions by graphing the functions and creating a table of values. Viewers learn how to consider a sign change event for f(x) – g(x) to approximate solutions.
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Instructional Ideas
- Challenge pupils to find closer approximations of solutions to the given examples, perhaps using a calculator
- Provide learners with a set of exercises to practice the skills learned in the slideshow
Classroom Considerations
- Examples use both linear and exponential functions in the systems of equations, so be sure your pupils are familiar with both of these types of functions
Pros
- Reviews function notation and the definition of a function, so the slideshow is accessible to all learners
Cons
- Only considers integer values of x for solutions
- When using a table of values to solve a system, the example stresses a sign change event for f(x) – g(x), even in an example where there is a value of x for which f(x) – g(x) = 0