Warm up 5 word prediction. Guess the meanings of the following words: Variable, expression, base, constant, & factor.

Standards MGSE9-12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MGSE9-12.A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients, in context. MGSE9-12.A.SSE.1b Given situations which utilize formulas or expressions with multiple terms and/or factors, interpret the meaning (in context) of individual terms or factors.

Learning Target Identify the different parts of the expression and explain their meaning within the context of a problem. Simplify and/or use the operations of addition, subtraction.

Identifying Parts Guided NOTES Definitions Identifying Parts Guided NOTES

Algebraic Expression Can have variables, numbers, addition, subtraction, multiplication, division, parenthesis, square roots, exponents… Examples:

Variable Symbols or letters used to represent an unknown Examples: 

Term How many items are being added, subtracted, divided Examples: 3 4

Like Terms Same variable raised to the same power Examples:

Coefficient The number in front of a variable Examples: 123 9 1

3 12 4 Exponent The number up in the air next to a base The number of times you multiply something times itself Examples: 3 12 4

2 x y Base What the exponent sits on The part that has been raised to a power Examples: 2 x y

-42 5 -8 Constant A number that has no variable It can be positive or negative Examples: -42 5 -8

1 and 6…. Or 2 and 3 9 and x and y (x + 2) and (y – 3) 3 and (z – 9) Factors Items that are being multiplied together Can be numbers, variables, parenthesis Examples: 1 and 6…. Or 2 and 3 9 and x and y (x + 2) and (y – 3) 3 and (z – 9)

-18 Order of Operations Simplify inside parenthesis Take care of exponents In order from left to right, multiplication or division In order from left to right, addition or subtraction Examples: -18

Which is it?

Translations

ADDITION Sum Plus Add More Than Increased Together

SUBTRACTION Difference Minus Decreased Less Than (swaps the order) Take away

DIVISION Quotient Half Divide by

MULTIPLICATION Product Twice Double Triple Times

EXPONENTS Square Cubed To the power of Raised to a power

Translate The sum of a number and 10 x + 10

Translate The product of 9 and x squared 9x2

Translate 9 less than g to the fourth power g4 – 9

Translate 8 + 3x Eight increased by three times x

Translate and Solve 1. Five times a number increased by 5 is the same as 3 times the same number decreased by 7. 2. Four times a number plus 10 minus two times the same number is 6.

Unit 1 Operations & Rules

Degree of the Polynomial Highest (largest) exponent of the polynomial

Standard Form Terms are placed in descending order by the DEGREE. Answers will always be written in this form.

Degree Name by degree 0 Constant 1 Linear 2 Quadratic 3 Cubic (largest exponent) Name by degree 0 Constant 1 Linear 2 Quadratic 3 Cubic

1. What is the degree name? Linear

2. What is the degree name? Cubic

Drop the parenthesis & combine like terms Adding Polynomials Drop the parenthesis & combine like terms

3. 3x2 + x + 2

4. x2 + 2x – 2

5. Find the perimeter of the rectangle. 10x + 12

Subtracting Polynomials Distribute the negative & combine like terms

6. 3a2 + 10a – 8a2 + a – 5a2 + 11a

7. 3x2 + 2x – 4 – 2x2 – x + 1 x2 + x – 3

Writing an Expression Practice Worksheet Classwork Writing an Expression Practice Worksheet