Bar Graph- uses bars to represent data (usually compares different categories)

Line Graph – shows a line relationship between two data sets (usually shows changes over time)

Fish

Dog

Snake

Cat

4

3

2

1

020

30

1988

1989

1990

1991

1992

1993

1994

Number of Postmasters

Postmasters

years

Kids

Pets

1.1 Bar Graphs and Line Graphs

Favorite Pets

Frequency Table- shows classes of things, a tally, and the frequency at which they occur

Example – Hours watching TV

0, 1, 5, 4, 0, 1, 4, 1, 3

Histogram – are useful when displaying intervals

Hours Tally Frequency

0-1 IIII 5

2-3 I 1

4-5 III 30-1 2-3 4-5

Hours

Students

Hours watching TV6

5

4

3

2

1

1.1 Histograms

• Order of Operations: – PEMDAS

• Parenthesis first

• Exponents

• Multiply and Divide from left to right at the same time

• Add and Subtract from left to right at the same time

M8A3.3.1 M8A2.1.1

1.2 Order of Operations

addition subtraction multiplication division

Plus Minus Times Divided by

Sum Difference Product Quotient

More than Less than Double Half of

Increased by Decreased by By Separate equally

Gain of Less of per

Examples: 6 more than a number → 6 + n8 less than twice a number → 2t – x

M7D2.2.1; M8D2.2.1; M8D2.2.2

1.3 Writing Algebraic Expressions

• Algebraic expression – an expression that contains a variable. Ex. T+5 ; 6n; y

• Evaluate – substitute the value in and simplify (do it)• Equation – when two quantities are equal (has an

equal sign)• Solve – find the value of the variable (do it)• Solution – the answer

Examples: Evaluate 8y +4 for y=108y + 4 = 8(10) + 4 = 80 + 4 = 84

Solve m - 3 = 15 m = 18

M7D2.1.2, M7D2.1.1; M8D2.1.3; M8D2.1.2

1.3 Algebraic Expressions and Equations

53 is a way to show repeated multiplication.5 - is the base3 - is the exponent, or the power

53 = 5 x 5 x 5 = 125

-2(9-6)2 + 15 = -2(3)2 +15 = -2(9)+15 = -18 + 15 = -3

Expanded form Evaluated form

M8A1.1.1 M8A1.1.2 M8A2.1.1 M7A2.1.1

1.4 Powers and Exponents

• Variable – a letter that represents a number or numbers• Substituting – replacing a variable with a number

Example: x+5 = 12, does x = 9 work? 9 + 5 = 12?

14 = 12? NO!

Solve 5x = 45 Do the opposite so 45/ 5 = 9WATCH FOR THE SWITCHERO!!!!!In Division and subtraction when the variable is second! 10 – c =4 do switchero 10-4 = 6 20 = 5 do switchero 20 / 5 = 4 y

1.5 Equations and Solutions

1.6 Perimeter and Area