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.

Concepts

function notation, solution set, solving systems by graphing

Show More Show Less

Additional Tags

math

Show More Show Less

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