What's in Unit 3?
Unit 3 covers
What is an exponent?
An exponent refers to the number of times a number is multiplied by itself.
Ex. 2 to the 3rd, written like 2^3 means 2 x 2 x 2, which
equals 8. 2^3 DOES NOT equal 6 (2 x 3 = 6).
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The forms of exponents:
Exponential Form: 2^3
Expanded Form: 2 x 2 x 2
Standard Form (the answer): 8
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Order of Operations Lesson
Study Jams on Order of Operations
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Remember PEMDAS from elementary school?
Please Excuse My Dear Aunt Sally
P = Parenthesis
E = Exponents
M, D = multiply or divide (left to right)
A, S = add or subtract (left to right)
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What is a variable?
A symbol for a number we don't know yet. The letter is usually "x" or "y".
Ex. x + 2 = 6, x is the variable
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Algebraic Expressions + Practice
Evaluating Algebraic Expressions (given a value for a variable)
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Finding Equivalent Expressions using "Distributive Property"
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Writing Expressions from Word Phrases
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Unit 3 Vocabulary
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​Exponent: tells the # of times you multiply the base by itself.
Base: the factor being multiplied by itself.
“To the power of”: a way of telling about your exponent.
Squared: a base with the exponent of 2.
Cubed: a base with the exponent of 3.
Variable: a letter that stands for a number.
Algebraic Expression: a number sentence that includes a variable.
Numerical Expression: a number sentence that only includes numbers and operations (it has no variables).
Evaluate: solve by replacing the variable with a value (number).
Constant: a number that does not change.
Coefficient: the number next to a variable (multiplies by the variable).
Term: each part of an expression separated by operation signs.
“Like terms”: terms that contain the same variable or variables (with the same exponents).
