 42 lessons
 0 quizzes
 10 week duration

Measurements
An introduction to numerical computation. Emphasis is placed on scientific and engineering notation, the rule of significant figures, and converting between SI and Imperial units.

Fractions, Percentage, Ratios and Proportion
Emphasis here is placed on understanding fractions, percent, and using ratios to compare quantities and set up proportions to solve problems.

Introduction to Algebra

Factoring

Solving Equations

Functions and Graphs

Geometry
This unit focuses on analyzing and understand the characteristics of various shapes, both 2D and 3D.
 Identify, measure, and calculate different types of straight lines and angles
 Calculate the interior angles of polygons
 Solve problems involving a variety of different types of triangles
 Calculate the area of a variety of different types of quadrilaterals
 Solve problems involving circles
 Calculate the areas and volumes of different solids
Parametric Equations
Sometimes the input variable, x, and the output variable, y, of an equation might be influenced by a separate factor, t. In other words, the variable, t, influences both the x and the y separately. Such a scenario can be modeled using a parametric. For example, finding the solution to x = t + 1 and y = t ÷ 2 at t = 4 gives the ordered pair:
$x\left(t\right)=t+4\phantom{\rule{0ex}{0ex}}x\left(4\right)=4+4\phantom{\rule{0ex}{0ex}}x\left(4\right)=8\phantom{\rule{0ex}{0ex}}$  $y\left(t\right)=\raisebox{1ex}{$t$}\!\left/ \!\raisebox{1ex}{$2$}\right.\phantom{\rule{0ex}{0ex}}y\left(4\right)=\raisebox{1ex}{$4$}\!\left/ \!\raisebox{1ex}{$2$}\right.\phantom{\rule{0ex}{0ex}}y\left(4\right)=2\phantom{\rule{0ex}{0ex}}$ 
∴ Ordered pair: (8, 2)
Notice how the ordered pairs generated from the parametric equations form a parabola. If you’d like to find out the equation to the curve without creating a table of values, you can isolate t from one equation and substitute it into the other equation. The equations again were:
 x = 2t
 y = t² – 2
The easier of the two equations to isolate for t is (1) because all you need to do is divide both sides of 2:
$\frac{t}{2}=\frac{\overline{)2}x}{\overline{)2}}\phantom{\rule{0ex}{0ex}}t=\frac{x}{2}\phantom{\rule{0ex}{0ex}}$This gets substituted into (2):
$y={\mathit{t}}^{2}\u20132\phantom{\rule{0ex}{0ex}}y={\left(\frac{x}{2}\right)}^{2}\u20132\phantom{\rule{0ex}{0ex}}y=\frac{{x}^{2}}{{2}^{2}}\u20132\phantom{\rule{0ex}{0ex}}y=\frac{{x}^{2}}{4}\u20132\mathbf{or}\mathbf{}\mathbf{}\mathbf{}y=\frac{1}{4}{x}^{2}\u20132\phantom{\rule{0ex}{0ex}}$The equation in terms of xy is called a Cartesian equation, and will produce the exact same parabola as the one in the video.