 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
Simplifying Complex Polynomials in Multiple Brackets
The grouping of algebraic terms using parentheses plays a major role in how an expression gets evaluated. Symbols of grouping used in mathematical expressions include parentheses ( ), brackets [ ], and braces { }, and they all serve the same common purpose, that is, the terms they enclose are to be treated as a single term. Apart from that, they give an expression a sense of hierarchy, allowing a group of terms to be nested within another group. For instance, the innermost group of terms are always placed inside parentheses − these terms get evaluated first. The group containing the first group and all other terms are contained is square brackets. And, if there’s a third group, all preceding groups are placed within curly brackets. The example shown below shows the three signs of segregation discussed:
$\left\{{x}^{2}+5\u2013\left[2+4\left(3+x\right)\right]\right\}+6\phantom{\rule{0ex}{0ex}}{1}^{\mathrm{st}}:\mathbf{3}\mathbf{+}\mathit{x}\phantom{\rule{0ex}{0ex}}{2}^{\mathrm{nd}}:\mathbf{2}+12+4x\phantom{\rule{0ex}{0ex}}{3}^{\mathrm{rd}}:{\mathit{x}}^{\mathbf{2}}\mathbf{+}\mathbf{5}\u201314\u20134x\mathbf{+}\mathbf{6}\phantom{\rule{0ex}{0ex}}\mathrm{Final}\mathrm{answer}:{x}^{2}\u20134x\u20133\phantom{\rule{0ex}{0ex}}$Note that if the +6 wasn’t added to the equation, the curly brackets (braces) wouldn’t be required. The two videos below explore how these symbols are dealt with when it comes to multiplying and simplifying polynomials.