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

2. 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.

3. 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.

4. Identifying Parts Guided NOTES
Definitions
Identifying Parts
Guided NOTES

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

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

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

8. Like Terms
Same variable raised to the same power
Examples:

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

10. 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

11. 2 x y Base What the exponent sits on
The part that has been raised to a power
Examples: 2 x y

12. -42 5 -8 Constant A number that has no variable
It can be positive or negative
Examples:
-42 5 -8

13. 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)

14. -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

15. Which is it?

16. Translations

17. ADDITION
Sum
Plus
Add
More Than
Increased
Together

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

19. DIVISION
Quotient
Half
Divide by

20. MULTIPLICATION
Product
Twice
Double
Triple
Times

21. EXPONENTS
Square
Cubed
To the power of
Raised to a power

22. Translate
The sum of a number and 10
x + 10

23. Translate
The product of 9 and x squared
9x2

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

25. Translate
8 + 3x
Eight increased by
three times x

26. 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.

27. Unit 1 Operations & Rules

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

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

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

31. 1. What is the degree name?
Linear

32. 2. What is the degree name?
Cubic

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

34. 3.
3x2 + x + 2

35. 4.
x2 + 2x – 2

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

37. Subtracting Polynomials
Distribute the negative & combine like terms

38. 6.
3a a – 8a2 + a
– 5a2 + 11a

39. 7.
3x2 + 2x – 4 – 2x2 – x + 1
x2 + x – 3

40. Writing an Expression Practice Worksheet
Classwork
Writing an Expression Practice Worksheet