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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

Conic Sections

Lesson 28: Radical Equations

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

Radicals, Development Math

Lesson 27: Working with Radicals

The lesson begins with the product and quotient rules for radicals, highlighting the frequently made mistakes of students by overgeneralizing the rules.

Radicals

Lesson 26: The Distance and Midpoint Formulas

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.

Conic Sections

Lesson 25: Rational Exponents

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

Exponentials, Development Math

Lesson 24: Roots and Radicals

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

Exponentials, Development Math

Lesson 23: Integer Exponents

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.

Exponentials, Development Math

Lesson 22: Functions as Models

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

Functions

Lesson 21: Variation

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

Variation, Development Math

Lesson 20: Some Basic Graphs

A short lesson introducing the cube root and absolute value functions and their graphs.

Functions