BOOT CAMP DAY SOL’S 6.1, 6.5, 6.6, 6.10, 6.11, 6.12, 6.14, 6.16, 6.19, 6.20

PROBABILITY SOL 6.16 Independent event - two events whose occurrence of one event DOES NOT affect the likelihood that the other event will occur Dependent event - two events whose occurrence of one event DOES affect the likelihood that the other event will occur

PROBABILITY SOL 6.16

CIRCLE GRAPHS SOL 6.14 Circle graphs are used to display data that is part of a whole, or any percentage data. The percentages in a circle graph always add up to 100% Circle graphs can be used to tell how parts relate to a whole. For example, we could draw a circle graph to show how we spend our day or our allowance.

Example 60 Students were asked about their modes of transportation to school. This bar graph and this circle graph show the results of the survey. Which graph would you use to find out how many students walk to school? Which graph would you use to find what percent of the students walk to school? Number of Students Form of Transportation

Ratio SOL 6.1 Describe situations in which they might want to compare the quantity of one thing to the quantity of another. When listing a ratio, order does matter. There are three ways to write a ratio like this: 1) 7 to 10 ( the word “to”) 2) 7/10 (fraction form) 3) 7 : 10 (colon) 2) Define COMPARE: 3) Define QUANITY:

Write the ratio of sandwiches to coke bottles 3 different ways. Ratio SOL 6.1 Write the ratio of sandwiches to coke bottles 3 different ways.

Exponents/Perfect Squares SOL 6.5  

Exponents/Perfect Squares SOL 6.5

+ - x and divide Fractions SOL 6.6   Remember to stack and then get a common denominator.

+ - x and divide Fractions SOL 6.6   Remember to stack and then get a common denominator. Don’t forget to check mark!

+ - x and divide Fractions SOL 6.6   K eep the first fraction F lip the second fraction C hange to multiplication

+ - x and divide Fractions SOL 6.6 Check Mark

FORMULAS SOL 6.10 Pi – the ratio of the circumference of a circle to it’s diameter 4 ways to wite Pi 3.14 22/7 C/D C/2r

FORMULAS SOL 6.10

FORMULAS SOL 6.10

FORMULAS SOL 6.10

COORDINATE PLANE SOL 6.11 Coordinate Plane- a plane in which a horizontal number line and a vertical number line intersect at their zero points. X-axis- the horizontal number line Y-axis- the vertical number line Origin- the point where the number lines intersect at their zero points (0,0) Quadrants- the x-axis and the y-axis separate the coordinate plane into four regions Ordered pair- a pair of numbers used to locate a point in the coordinate plane. Written (x-coordinate, y-coordinate) or (x, y) X-coordinate- the first number of an ordered pair (positive = right, negative = left) Y-coordinate- the second number of an ordered pair (positive = up, negative = down)

II (-, +) I (+, +) III (-, -) IV (+, -) The 4 Quadrants II (-, +) I (+, +) III (-, -) IV (+, -)

Example 1 Identify the ordered pair that names the point P. Then identify its quadrant. Step1 Start at the origin. Move right on the x- axis to find the x-coordinate of point P, which is 2. Step 2 Move down the y-axis to find the y-coordinate, which is -4. • P

Your Turn Identify the ordered pair that names the point A. Then identify its quadrant. • A

CONGRUENCE SOL 6.12 Congruent figures – figures that have the same shape and the same size

INEQUALITIES SOL 6.20 Inequality -a mathematical sentence that compares expressions. It contains the symbols <, >, ≤, or ≥. To write an inequality, look for the following phrases to determine where to place the inequality symbol.

Is greater than or equal to Key Symbols Inequality Symbols Symbol < > Key Phrases Is less than Is fewer than Is greater than Is more than Is less than or equal to Is at most Is no more than Up to and including Is greater than or equal to Is at least Is no less than An inequality contains the symbols <, >, ≤, or ≥. To write an inequality, look for the above phrases to determine where to place the inequality symbol.

Graphing an Inequality An open circle ○ is used when a number is not a solution. When the “or equal to” is not there. A closed circle ● is used when a number is a solution. An arrow to the left or right shows that the graph continues in that direction. When the “or equal” to is there. Remember the variable must be listed first.

Graphing an Inequality

PROPERTIES SOL 6.19 Property Key Concept Additive Identity adding zero Multiplicative Identity multiplying by 1 Multiplicative Inverse flip the fraction Multiplicative Property of zero multiplying by 0

Ask yourself, “What do I add to a number to keep that same number Additive identity Remember… Ask yourself, “What do I add to a number to keep that same number (its identity)? EX. 1 7+0=7 Ex. 2 0+5=5

Multiplicative Identity Remember… Ask yourself, “What do I multiply a number by to keep that same number (its identity)? Ex. 1 9x1=9 Ex. 2 1x6=6 1

Multiplicative Inverse or Inverse property of multiplication Ex. 1 5 1 5 = 1 Ex. 2 1 9 9 = 1 Remember… Inverse means FLIP THE FRACTION

Multiplicative Property of zero Ex. 1 8 x 0 = 0 Ex. 2 0 x 7 = 0 Remember… Any number times 0 equals 0!

PROPERTIES SOL 6.19