In Module 1 you will examine the correct order in which to perform addition, subtraction, multiplication, division, parenthesis, and exponents.
In Module 2 we will explore the Distributive Property including the common errors that students often make.
Linear equations of the type generated when we are solving systems of equations are very common in Geometry. These are typically equations in one variable, e.g. x. How do we go about solving for x ? Generally, we aim to isolate the variable by performing the same algebraic operation on both sides of the equation (algebraic properties of equality), thus simplifying the equation until we get to a answer. By the way, the methods discussed in this module apply to any equation in a single variable. Let's watch the video to examine some examples.
In Module 4 we will investigate proportions. What is a proportion? How to solve them efficiently and effectively.
In Module 5 we explore linear functions in slope-intercept form and point-slope-form, concentrating on the relationships to their graphs.
In this module we look at the slopes of parallel and perpendicular lines. As a special case, we consider horizontal and vertical lines.
In Module 1 we will apply the properties of exponents to simplify or rewrite expressions involving powers.
In this module we will take a look at methods for simplifying radicals. Remember: in mathematics, we are commonly interested in the exact answer. Whenever we round decimals, we are approximating the number. If our answer contains a square root of a number that is not a perfect square, the number is irrational, meaning it is decimal that is non-terminating and non-repeating. To maintain its exact value, we need to present the number as a radical (root). Of course, we want it simplified. We call this Simplest Radical Form.
In this module we will derive the formulas for the distance and midpoint formulas then see how they can be used to solve problems.
In this module we look at the concept of a function, one of the most important concepts in mathematics. We define the term 'function' and introduce the formal notation for a function.
In this module we look at the domain and range of a function. We represent functions both graphically and algebraically to shed light on this concept.
In Module 9 we take a look at the strategies for factoring quadratic expressions when the leading coefficient is 1 and when it is greater than 1.
In Module 13, we investigate quadratic equations. After putting the quadratic equation into standard form, we examine methods for solving a few different forms of quadratic equations.
In this module we will explore how to find x and y intercepts of linear functions algebraically.