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This lesson focuses on finding appropriate non linear functions to model real world phenomena.

To motivate the convention for negative and zero exponents, the lesson begins by observing the halving pattern found in continuously decreasing the exponent of a power of two by one.

Exponential notation for \(n\)th roots and radicals is introduced.

Using Kleiber's rule- which linked an animals metabolic rate to its mass- to motivate working with rational exponents, this lesson begins by linking work with \(n\)th roots from the last le

The lesson begins by associating the distance between two points with the right triangle that may be formed by joining the points and extending horizontal and vertical lines through the points.
The lesson begins with the product and quotient rules for radicals, highlighting the frequently made mistakes of students by overgeneralizing the rules.

The lesson begins with an emphasis on isolating the radical expression in a radical equation and then highlights the importance of checking for extraneous solutions that may be generated when t

The lesson begins with a discussion about growth factors and percent increase, leading to the presentation of the compound interest formula.

Beginning with a formal definition of an exponential function, the lesson then compares the graphs of increasing and decreasing exponential functions.

The lesson begins with an application problem to motivate the necessity and use of a logarithm. The formal definition linking logs and exponents is then introduced.