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Warm-Up 1 Find the slope of the line passing through the points (1, -9) and (4, 6). 2. Sarah has been clothes shopping each Saturday for the past 6 weeks. She spent the following amounts: $112, $68, $96, $15, $99, $89 a) Find the mean b) Find the median 3. Solve:
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Time to get Serious 7 school days till your exam
Welcome BACK! Time to get Serious 7 school days till your exam
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Review of 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
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Take about 10 minutes to talk about your answers with your partner
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What do I remember from CCM1 A?
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Describing Data: Address Shape, Outliers, Center, Spread
Mean- average Median- middle number Standard Deviation- How much variation exists from the average Range-The difference between the highest and lowest number
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Box Plot- Use the 5 number summary
Dot Plot- Histogram-
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5 Number Summary- Minimum, Q1, Median, Q3, and Maximum
IQR- The difference between Q3 and Q1 (Q3-Q1) Outliers- A number that is numerically distant from the rest of the data
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Categorical – data that can be separated by category
EX) sorting students by the model of car they have Quantitative – data that can be separated by numerical values EX) sorting students by the number of siblings they have
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Algebraic Equations- has an equal sign Order of Operations- (PEMDAS)
Algebraic Expressions- Does not have an equal sign, You evaluate (simplify or solve) Algebraic Expressions Algebraic Equations- has an equal sign Order of Operations- (PEMDAS) Parenthesis Exponents Multiplication/Division Addition/Subtraction Evaluate- means to simplify or solve
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Variable- a symbol that stands for a number
Solving Equations- Follow reverse order of operations to get the variable by its self on one side of the equation Whole Numbers- Includes zero and all the positives (no fractions or decimals) Integer- Includes all negatives, zero, and all positives (No fractions or decimals) Variable- a symbol that stands for a number Ex) x – 2 = X is the variable
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Subtracting Negatives- Keep, change, change Multiplying Negatives-
Neg·Neg = Pos Neg·Pos = Neg Pos·Neg = Neg Pos·Pos = Pos Dividing Negatives Neg ÷ Neg = Pos Neg ÷ Pos = Neg Pos ÷ Neg = Neg Pos ÷ Pos = Pos
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Distributive Property- Distribute to EVERYTHING inside the parenthesis
Constant- just a number, does not have a variable Coefficient- The NUMBER in front of (multiplied by) a variable Like Terms-Terms with the same exact variables Substitution- Putting a number in place of a variable to simplify an expression Equivalent expression- two expressions that have the same most simplified form
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Less Than < Less than or equal to ≤ Greater Than > Greater Than or Equal To ≥ Open Circle- Use for < or > Closed Circle- Use for ≤or ≥ Solving Inequalities- Solve like you solve equations; Follow reverse order of operations ** Flip the inequality symbol when multiplying or dividing by a NEGATIVE
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Domain Range Independent Variable X’s Goes on x-axis
Goes in L1 when finding line of best fit Range Dependent Variable Y’s Goes on y-axis Goes in L2 when finding line of best fit
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Function X values do not repeat (vertical line test) Function rule { ex. f(x) = 2x + 3} Equation
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Function Notation f(x) = Example: f(x)= 2x + 4 Now-Next Rule: A recursive rule found by relating a number to what comes before it. Written as Ex) NEXT = NOW + 4 Start = Ex) NEXT = NOW/2 Start =
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Direct Variation- Equation: y=kx K = constant of variation (slope) Goes through the origin on a graph Finding slope through 2 ordered pairs: (x1, y1) (x2, y2)
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Slope- Intercept Form: y = mx + b
M = slope; B = y-intercept Point Slope: y – y1 = m( x – x1) M = slope; X1, y1 are from the ordered pair Standard Form: Ax + By = C No Fractions, C is a constant
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Parallel Lines- never intersect,
have the SAME SLOPE and DIFFERENT y-intercepts Perpendicular Lines- Slopes are opposite reciprocal + change to – – change to + Flip the fraction
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Calculator Steps Creating a graph: Stat Edit Enter data into the lists 2nd y= Pick your graph (scatter plot, histogram or boxplot) Zoom 9:ZoomStat
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Finding the Line of Best Fit
Stat Edit Enter data into L1 and L2 Move over to Calc 4:LinReg Enter
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Finding information about data
(Mean, Median, *5-number summary- Min, Q1, Median, Q3, Max) Stat Edit Enter data into L1 Move over to Calc 1:1variableStats Enter
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Exam Non-Calculator Section: 6 Multiple Choice Questions 6 Short answer Questions Calculator Section: 36 Multiple Choice Questions
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HOMEWORK!!!! Review 1
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