Mathematics 8

Vocabulary
Absolute Value	Additive Inverse	Algebraic expression
Base (of an exponent)	Coefficient (of a variable)	Constant term
Exponent	Integers	Irrational numbers
Like terms	Multiplicative inverse	Natural numbers
Opposite numbers	Order of Operations	Perfect square
Power	Principle square root	Real numbers
Reciprocal	Repeating decimal	Square root
Term	Terminating decimal	Variable
Whole numbers

Vocabulary
Cross products	Cross multiplication	Identity
Percent	Proportion	Rate
Ratio	Scale	Solution (of an equation)
Solution set (of and equation)	Unit rate	Formulas
Literal equations	Number line	Positive and negative numbers

What Is Mathematics?

Mathematics is simply a language of patterns. We identify patterns in the world around us to survive the challenges of life. To do this well, we need a reliable sense of numbers.

For example, if some day we find ourselves wandering down an ancient jungle path only to run into one angry bear on the right and five angry bears on the left—with all else being equal—every self-respecting humanoid knows to sit down, put on their running shoes, and sprint like a bat outa hell to the rear. OK, bad example, but that’s the point. You already know how to make the example better.

Ron

Flipping Digits

These digit flipping challenges are tough at first, but with practice you can become a pro.

Ron

Decimal System

The Decimal Number System, also called Hindu-Arabic number system, is a positional numeral system that uses 10 as the base and requires 10 different symbols which are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. It also uses a dot (the decimal point) to represent fractions. In this system, the numerals used to show a value take different place values depending upon position. In a base-10 system the number 543.21 represents the sum:

Ron

Vocabulary

Term	Description
Cartesian Plane	a two-dimensional plane divided into four quadrants using x- and y-axis
Slope	a ratio of the rate at which the dependent variable is changing versus the rate at which the independent variable is changing; frequently expressed as $\frac{RISE}{RUN}$, or $\frac{\textit{The change in y}}{\textit{The change in x}}$
Parallel Lines	lines having the same slope and different y-intercepts.
Perpendicular Lines	lines having opposite and inverse slopes.
Oposite Number	numbers that are the exact same distance from zero, but on opposite sides of zero, such as $2$ and $-2$. ß
Inverse Number	numbers that when multiplied together equal 1, such as $ \frac{2}{1} \times \frac{1}{2} = 1$. Also called reciprocals.

Parallel Lines

Lines that are parallel have the same slope and different y-intercepts.

Eighth Grade Topics

1: Foundations of Algebra

2: Equations

What Is Mathematics?

Flipping Digits

Decimal System

Data Visualization

Exponents

Functions

Glossary Mathematics

Glossary Algebra

Parallel and Perpendicular Lines

Vocabulary

Parallel Lines

1: Foundations of Algebra

2: Equations

Vocabulary

Parallel Lines

Sections