Signed Fractions: Summary: Signed Fractions
This clip summarizes signed fractions. It explains that negative fractions are just as useful as any other kind of negative number. The clip then re-visits the question of what exactly constitutes a negative fraction. It states that, if the numerato...
Signed Fractions: What Is It That's Negative About a Negative Fraction?
This clip asks the question, "What is it that's negative about a negative fraction?", then considers examples when the numerator or the denominator is negative, or when both are. The clip works through each of these scenarios to determine which, if ...
Exponents: Summary: Exponents
This clip summarizes the key ideas in the exponents lesson, including powers, factors, bases, and the concepts of squared, square root, and cubed. It also explains how all these ideas can be used to develop a new form of expanded notation.
Multiplying Signed Numbers: Summary: Multiplying Signed Numbers
This clip reviews the basic rules that apply to multiplying signed numbers. If the two signs are the same, the answer is positive. If they're different, the answer is negative. And, when multiplying more than two signed numbers, if there's an even n...
Solving Equations: Summary: Solving Equations
This clip summarizes how to solve equations. It describes the relationship between word problems, number sentences and equations, noting that the latter are, "
nothing more than a statement that two mathematical expressions are equal." The clip rev...
Solving Equations: Solving An Equation
This clip describes the steps in solving a simple equation. It states that "...the important thing is to study the equation, decide what you want to move around or get rid of, and proceed step by step." It also advises that "
it's usually easiest t...
Square Roots: Couple of Practical Problems Involving Square Roots, A
This clip presents practical square root problems involving a garden and swimming pools. It explains that if we know the area of a square, we can figure out its side, because the side must be the square root of the area.
Ratio and Proportion: Simplifying the Comparing of Fractions by Cross Multiplying
This clip explains that cross multiplying is a shortcut which allows us to determine if two fractions are the same. The fractions are compared by multiplying the numerator of each by the denominator of the other. If the products are the same, then t...
Solving Equations: Building and Solving A New Equation
This clip explains how to work through an equation step by step, beginning by "collecting" all the unknowns on one side of the equation and all the constants on the other.
Signed Numbers: Introducing Negative Numbers
This clip uses the number line to illustrate that there can be negative numbers as well as positive numbers. Negative numbers on the number line are located to the left of the zero, rather than to the right.