- 0 lessons
- 0 quizzes
- 10 week duration
Here you'll be introduced to the bare basics of mathematics. Topics include commonly used words and phrases, symbols, and how to follow the order of operations.
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.
Trigonometry with Right Triangles
Here we focus on right angle triangles within quadrant I of an x-y plane. None of the angles we evaluate here are greater than 90°. A unit on trigonometry with oblique triangles is covered later.
Trigonometry with Oblique Triangles
This unit is a continuation of trigonometry with right triangles except we'll extend our understanding to deal with angles *greater* than 90°. Resolving and combining vectors will be covered at the end of this unit.
Introduction to Algebra
Functions and Graphs
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
Introduction to Statistics
Substituting into Equations and Formula
A major part of this course is algebra-based, namely, learning how manipulate equations, combine like-term, and evaluate expressions. This lesson will give you a sense of what’s to come in future lessons.
A formula is an equation expressing some general mathematical or physical fact, such as the formula for the area of a circle of radius r:
Notice how the formula has 2 unknowns, A and r – π isn’t an unknown, it represents approximately 3.14159… To find the area of any circle, you substitute any value in for r. For example, if r = 4 cm:
On the contrary, you could substitute a value in for A, then solve for r via algebraic manipulation, which we’ll cover later on in the course. Regardless of what you’re looking for, it’s always appropriate to enclose the number you substitute in parentheses (round brackets), as shown in the example above.
Therefore, to substitute into a formula or equation means to replace the letter quantities in the formula with their numerical values, and evaluate. Let’s do a few examples where we substitute values into formulas: