Welcome BACK! Common Core Math 1 Part 2 Time to get Serious EOC

Differences from Part 1 Semester Grading: 1 st Quarter 37.5%2 nd Quarter 37.5% EOC 25% Must get a level 3 on the EOC to pass CCM1

Staying the SAME Tests/Quizzes/Classwork/Homework 50% 25% 15% 10%

TUTORIALS EVERY Tuesday Afternoon from 3:15-4:45 in room 2622

Welcome LETTER You sign the student Success Contract Get your Parents to sign the Student Success Contract BRING BACK TOMORROW!!!! Must be returned by Friday, Jan. 25

Review from CCM1 Part 1 Take about 5 minutes INDIVIDUALLY to fill out the tables on the worksheet. Write down anything you remember about the specific topic

Take about 3 minutes to talk about your answers with your partner!

What do I remember from CCM1 A?

Describing Data Describing Data: Address Shape, Outliers, Center, Spread Mean Mean- average Median Median- middle number StandardDeviation Standard Deviation- How much variation exists from the average Range Range-The difference between the highest and lowest number

Box Plot Box Plot- Use the 5 number summary Dot Plot Dot Plot- Histogram Histogram-

5 Number Summary 5 Number Summary- Minimum, Q1, Median, Q3, and Maximum IQR IQR- The difference between Q3 and Q1 (Q3-Q1) Outliers Outliers- A number that is numerically distant from the rest of the data

Categorical Categorical – data that can be separated by category EX) sorting students by the model of car they have Quantitative Quantitative – data that can be separated by numerical values EX) sorting students by the number of siblings they have

Algebraic Expressions evaluate (simplify or solve) Algebraic Expressions- Does not have an equal sign, You evaluate (simplify or solve) Algebraic Expressions Algebraic Equations Algebraic Equations- has an equal sign Order of Operations Order of Operations- (PEMDAS) – Parenthesis – Exponents – Multiplication/Division – Addition/Subtraction Evaluate Evaluate- means to simplify or solve

Solving Equations Solving Equations- Follow reverse order of operations to get the variable by its self on one side of the equation Whole Numbers Whole Numbers- Includes zero and all the positives (no fractions or decimals) Integer Integer- Includes all negatives, zero, and all positives (No fractions or decimals) Variable Variable- a symbol that stands for a number Ex) x – 2 = 10 X is the variable

Subtracting Negatives Subtracting Negatives- Keep, change, change Multiplying Negatives Multiplying Negatives- Neg·Neg = Pos Neg·Pos = Neg Pos·Neg = Neg Pos·Pos = Pos Dividing Negatives Dividing Negatives Neg ÷ Neg = Pos Neg ÷ Pos = Neg Pos ÷ Neg = Neg Pos ÷ Pos = Pos

Distributive Property Distributive Property- Distribute to EVERYTHING inside the parenthesis Constant Constant- just a number, does not have a variable Coefficient Coefficient- The NUMBER in front of (multiplied by) a variable Like Terms Like Terms-Terms with the same exact variables Substitution Substitution- Putting a number in place of a variable to simplify an expression Equivalent expression Equivalent expression- two expressions that have the same most simplified form

Less Than < Less than or equal to ≤ Greater Than > Greater Than or Equal To ≥ Open Circle- Use for Closed Circle- Use for ≤ or ≥ Solving Inequalities Solving Inequalities- Solve like you solve equations; Follow reverse order of operations ** Flip the inequality symbol when multiplying or dividing by a NEGATIVE

Domain Domain Independent Variable X’s Goes on x-axis Goes in L1 when finding line of best fit Range Range Dependent Variable Y’s Goes on y-axis Goes in L2 when finding line of best fit

Function Notation Function Notation f(x) = Example: f(x)= 2x + 4 Now-Next Rule Now-Next Rule: A recursive rule found by relating a number to what comes before it. – Written as Ex) NEXT = NOW + 4 NEXT = NOW/2

Direct Variation Direct Variation- Equation: y=kx K = constant of variation Goes through the origin on a graph Finding slope through 2 ordered pairs Finding slope through 2 ordered pairs: (x 1, y 1 ) (x 2, y 2 ) Slope- Intercept Form Slope- Intercept Form: y = mx + b M = slope; B = y-intercept Point Slope Point Slope: y – y 1 = m( x – x 1 ) M = slope; X 1, y 1 are from the ordered pair Standard Form Standard Form: Ax + By = C No Fractions, C is a constant

Parallel Lines Parallel Lines- never intersect, have the SAME SLOPE Perpendicular Lines Perpendicular Lines- Slopes are opposite reciprocal + change to – – change to + Flip the fraction

Pay if Forward

1. How many people would receive a Pay It Forward good deed at each of the next several stages of the process? Stage 1:Stage 2: Stage 3:Stage 4: Stage 5:Stage 6: 2. What is your best guess for the number of people who would receive Pay It Forward good deeds at the tenth stage of the process?

3. Which of the graphs below do you think is most likely to represent the pattern by which the number of people receiving Pay It Forward good deeds increases as the process continues over time? Graph Number: ___________

4. Take your values for each stage (from #1) and graph the data. Hint: Your x-axis needs to be the stage number and your y-axis needs to be the number of people receiving Pay It Forward.

Mathematical terminology EXPONENTIAL This graphs represents EXPONENTIAL growth. EXPONENTIAL FUNCTIONS. These data sets display properties of EXPONENTIAL FUNCTIONS.

HOMEWORK!!!! Complete 5.1 Homework