What do I need on the Final? Use this algorithm to calculate your Semester Grade: 𝟎.𝟖𝒙+𝟎.𝟐𝒚=𝐒 Where x = current % and y = final exam % 0.8 𝑪𝑼𝑹𝑹𝑬𝑵𝑻 % +0.2 𝑭𝑰𝑵𝑨𝑳 % =𝑺𝑬𝑴𝑬𝑺𝑻𝑬𝑹 𝑮𝑹𝑨𝑫𝑬%
List of Topics Unit 4B (Exponential and Logarithmic Functions) Find the inverse of a function Evaluate logarithms including change of base Solve logarithmic equations Solve equations that yield an extraneous solution Solve exponential equation with and without the use of logarithms Solve applications involving exponential growth and decay Tips: If you have a variable in the exponent, you need to use a logarithm and vice-versa
List of Topics Unit 4B (Exponential and Logarithmic Functions) Find the inverse of a function Evaluate logarithms including change of base Solve logarithmic equations Solve equations that yield an extraneous solution Solve exponential equation with and without the use of logarithms Solve applications involving exponential growth and decay
List of Topics Tips: Calculator Buttons: TI 84: Math A: Logbase TI 83: Unit 4B (Exponential and Logarithmic Functions) Find the inverse of a function Evaluate logarithms including change of base Solve logarithmic equations Solve equations that yield an extraneous solution Solve exponential equation with and without the use of logarithms Solve applications involving exponential growth and decay Tips: Calculator Buttons: TI 84: Math A: Logbase TI 83:
List of Topics Power Property: 𝑙𝑜𝑔 𝑏 𝑚 𝑝 =𝑝∙ 𝑙𝑜𝑔 𝑏 𝑚 Unit 4B (Exponential and Logarithmic Functions) Find the inverse of a function Evaluate logarithms including change of base Solve logarithmic equations Solve equations that yield an extraneous solution Solve exponential equation with and without the use of logarithms Solve applications involving exponential growth and decay Power Property: 𝑙𝑜𝑔 𝑏 𝑚 𝑝 =𝑝∙ 𝑙𝑜𝑔 𝑏 𝑚 Product Property: 𝑙𝑜𝑔 𝑏 𝑚∙𝑛= 𝑙𝑜𝑔 𝑏 𝑚+ 𝑙𝑜𝑔 𝑏 𝑛 Quotient Property: 𝑙𝑜𝑔 𝑏 𝑚 𝑛 = 𝑙𝑜𝑔 𝑏 𝑚− 𝑙𝑜𝑔 𝑏 𝑛
List of Topics Unit 5 (Radical & Rational Functions) Simplify Add, Subtract, Multiply, Divide Rational Expressions Solve Radical & Rational equations Graph Radical & Rational Functions with Transformations Simplifying Rational Expressions Addition or Subtraction: COMMON DENOMINATORS, restrictions Multiplication: Factor everything, list restrictions, then eliminate/cross off Division: Multiply by reciprocal (flip the 2nd), continue steps for multiplication
List of Topics Unit 5 (Radical & Rational Functions) Simplify Add, Subtract, Multiply, Divide Rational Expressions Solve Radical & Rational equations Graph Radical & Rational Functions with Transformations Solving Rational Equations (equal sign) Factor denominators Find LCD on both sides of = sign Set numerators equal to each other Solve for x Check for extraneous solutions.
List of Topics Unit 5 (Radical & Rational Functions) Simplify Add, Subtract, Multiply, Divide Rational Expressions Solve Radical & Rational equations Graph Radical & Rational Functions with Transformations Remember how to Factor and all different types of factoring. Always GCF 1st! 2 terms difference of squares 3 terms a=1 use x method 3 terms a ≠1 factor by grouping
List of Topics Unit 5 (Radical & Rational Functions) Simplify Add, Subtract, Multiply, Divide Rational Expressions Solve Radical & Rational equations Graph Radical & Rational Functions with Transformations Radicals and Rationals 𝑥+𝑎 2 write it out twice, then distribute Graphing Rationals First factor numerator and denominator Hole: when you cross off factor from top/bottom Vertical Asymptote: When one factor is left on the bottom Horizontal Asymptote: check degree of top and bottom IF degree of numerator > degree of denominator, then none IF degree of numerator < degree of denominator, then y= 0 IF degree of numerator = degree of denominator then 𝑦= 𝐿𝐶 𝐿𝐶
List of Topics Tips: Don’t type 𝝅 into your calculator Unit 6 (Trigonometry) Convert from degrees to radians and from radians to degree Evaluate trigonometric expressions Find the value of a trig. Expression given a trig. expression and a quadrant Tips: Don’t type 𝝅 into your calculator Divide/multiply then turn it back into a fraction for your final answer
List of Topics Unit 6 (Trigonometry) Convert from degrees to radians and from radians to degree Evaluate trigonometric expressions Find the value of a trig. Expression given a trig. expression and a quadrant Tips: Label your “a” “b” and “c” directly on your triangles Put trig ratios on your “reference sheet”
List of Topics Unit 6 (Trigonometry) Convert from degrees to radians and from radians to degree Evaluate trigonometric expressions Find the value of a trig. Expression given a trig. expression and a quadrant Tips: Always draw triangles with one side on the “X-axis”!! Bow Tie: S A T C
List of Topics Unit 6 (Trigonometry) Convert from degrees to radians and from radians to degree Evaluate trigonometric expressions Find the value of a trig. Expression given a trig. expression and a quadrant Tips: Practice how to rationalize the denominator (no square roots on bottom of fractions) Don’t forget about the negatives!
List of Topics Unit 7 (Statistics) Calculate the mean and standard deviation of a given data set Apply the empirical rule and z-score to calculate probabilities. Calculate 95% confidence intervals. Identify random samples and make inferences about a random sample from that population. Compare and contrast sample surveys, experiments, and observational studies as well as explain how randomization relates to each. Identify types of bias in sampling. Margin of error
List of Topics Tips: Empirical Rule Unit 7 (Statistics) Calculate the mean and standard deviation of a given data set Apply the empirical rule and z-score to calculate probabilities. Calculate 95% confidence intervals. Identify random samples and make inferences about a random sample from that population. Compare and contrast sample surveys, experiments, and observational studies as well as explain how randomization relates to each. Identify types of bias in sampling. Margin of error Tips: Empirical Rule
List of Topics Tips: Round to 2 decimal places Unit 7 (Statistics) Calculate the mean and standard deviation of a given data set Apply the empirical rule and z-score to calculate probabilities. Calculate 95% confidence intervals. Identify random samples and make inferences about a random sample from that population. Compare and contrast sample surveys, experiments, and observational studies as well as explain how randomization relates to each. Identify types of bias in sampling. Margin of error Tips: Round to 2 decimal places Below = use same probability/percentage Above = subtract from 1.0 OR 100%
List of Topics Unit 7 (Statistics) Calculate the mean and standard deviation of a given data set Apply the empirical rule and z-score to calculate probabilities. Calculate 95% confidence intervals. Identify random samples and make inferences about a random sample from that population. Compare and contrast sample surveys, experiments, and observational studies as well as explain how randomization relates to each. Identify types of bias in sampling. Margin of error Tips: Enter data into L1 and run the 1-Variable Statistics to find mean and standard deviation Know Undercoverage, Nonresponse, Response, and Wording of the Question Biases