Warm UP

1. Convert 23 miles to feet. (5280 ft = 1

mi)

2. Convert 120 lbs to kilograms. (0.454 kg

= 1 lbs)

3. Convert 6 feet to miles. (5280 ft = 1 mi)

4. Convert 4 quarts to liters. (1 liter = 1.05

quarts)

5. Convert 0.045 barrels to gallons. (73

gallons = 2 barrels)

121,440 feet

54.48 kg

0.00114 miles

3.8095 Liters

1.6425 gallons

MORE Warm UP

6. Convert 75 minutes to days.

7. Convert 46 inches to miles. (1 mi = 5280 ft)

0.05208 days

0.00072601 miles

Review HW

EQ

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

CCCA 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

4

2

3

x

y

3

1

4

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

power

Examples:3

4

2

3

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 a number

CW/HW

Identifying Parts and Translating Expressions

Practice

WORKSHEET