*Beginning with a general introduction to conics and how they are formed, circles are first presented and then ellipses are motivated by looking at the general equation of a circle centered at the*

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*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*

*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*

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

*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.*

*The lesson begins with a comparison of data tables and graphs of two functions, one directly proportional (cost of gas) and the other exponential (population), before a definition for direct va*