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The lesson begins with horizontal and vertical lines, first looking at the corresponding sets of points that comprise each, then using the points to find the slope of each type of line.

Modeling: Dev Math, Linear Equations, Functions

Lesson 39: Equations with Algebraic Fractions

The lesson begins with using the lcd to clear the fractions in the equation, and then a review of proportions follows to motivate the "shortcut" of cross multiplication for equations containing on

Exponentials, Rational Functions

Lesson 38: More Operations on Fractions

The lesson begins with a definition of a "complex" fraction and then presents a procedure for simplifying them (multiplying the numerator and the denominator by the lcd of all fractions contained

Exponentials, Rational Functions

Lesson 37: Operations on Algebraic Fractions

The four arithmetic operations on fractions are given here, but in each case examples of using the operation on ordinary fractions is first reviewed, helping to ground the new material in the unde

Exponentials, Rational Functions

Lesson 36: Algebraic Fractions

The lesson begins with the definition of an algebraic fraction and then a quick review of the fundamental principle of fractions.

Exponentials, Rational Functions

Lesson 35: Polynomial Functions

Beginning with the definition of a polynomial, polynomial multiplication and degree of polynomial products are introduced.

Functions

Lesson 34: Logarithmic Scales

This lesson introduces logarithmic scales as a means for plotting data that might otherwise be difficult plot due to their widely varying values.

Logarithms

Lesson 33: Applications of Exponential Functions

The lesson begins with population application problems looking at doubling time, the constant time that it takes for an exponentially modeled population to double.

Exponentials

Lesson 32: Properties of Logarithms

The properties of logarithms are presented after the corresponding laws for exponents are reviewed.

Logarithms

Lesson 31: Logarithms

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.

Logarithms, Development Math