1. 5 word prediction. Guess the meanings of the following words: Variable, expression, base,...

Warm up

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

EQ

Why is it important to understand the “language” of mathematics?

GSE Unit 1

Definitions

Identifying PartsGuided NOTES

Algebraic Expression Can have variables, numbers,

addition, subtraction, multiplication, division, parenthesis, square roots, exponents…

Examples: 2

3 2

5 7

5

xx

b c d

xy

Variable Symbols or letters used to represent

an unknown

Examples:x

Term How many items are being added,

subtracted, divided

Examples:2

2

5 2 3

2

a xy

P xa b

3

4

Like Terms Same variable raised to the same

power

Examples:2 2

2 2

5 and 8

7 and 22y

x y x y

y

Coefficient The number in front of a variable

Examples:

3 2

123

9

xy

xy z

x

123

9

1

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

3 7

x

y

3

12

4

Base What the exponent sits on The part that has been raised to a

power

Examples:3

12

4

2

3 7

x

y

2

x

y

Constant A number that has no variable It can be positive or negative

Examples:

2 4

42

3 5

5 3 8

x

x y

-42

5

-8

Factors Items that are being multiplied

together Can be numbers, variables,

parenthesis Examples:

6

9

2 3

3 9

xy

x y

z

1 and 6…. Or 2 and 39 and x and y

(x + 2) and (y – 3)

3 and (z – 9)

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: 25 3 2 1 4 -18

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

TranslateThe sum of a number and 10

x + 10

TranslateThe product of 9 and x squared

9x2

Translate9 less than g to the fourth power

g4 – 9

Translate

8 + 3xEight increased by three times x

Translate and Solve

2. Four times a number plus 10 minus two times the same number is 6.

1. Five times a number increased by 5 is the same as 3 times the same number decreased by 7.

Class Work

Writing an Expression Practice Worksheet

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HOMEWORK

Writing an Expression Worksheet

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