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Algebra II

Algebra II. Graphic Organizers. Unit 1: #1. Graphing Lines. Standard Form. Point-Slope Form. Slope-Intercept Form. Vertical Line: x = k. Horizontal Line: y = k. Unit 1: #2. Writing the Equation of a Line. Given a point and a slope. Given two points.

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Algebra II

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  1. Algebra II Graphic Organizers

  2. Unit 1: #1 Graphing Lines Standard Form Point-Slope Form Slope-Intercept Form Vertical Line: x = k Horizontal Line: y = k

  3. Unit 1: #2 Writing the Equation of a Line Given a point and a slope Given two points Given a point and a perpendicular line Given a point and a parallel line

  4. Unit 1: #3 Solving a System Substitution Elimination System of Inequalities

  5. Unit 1: #4 Absolute Value Solving an Equation Solving an Inequality Graphing an Absolute Value Function Solving an Inequality

  6. Unit 2: #1 Solving Quadratic Equations Completing the Square Factoring Quadratic Formula When to use it?

  7. Unit 2: #2 Graphing Quadratic Functions Standard Form Vertex Form

  8. Unit 2: #3 Quadratic Applications Projectile Motion Optimization Problem

  9. Unit 3: #1 Working with Radicals Multiplying Dividing Subtracting Adding

  10. Unit 3: #2 Rational Exponents Radical to Exponential Exponential to Radical Properties of Exponents

  11. Unit 3: #3 Solving Radical Equations The Basics More difficult Rational Exponents Watch for Extraneous Solutions!!

  12. Unit 3: #4 Graphing Radical Functions Choose “smart” points x y y x

  13. Unit 4: #1 Graphing ExponentialFunctions

  14. Unit 4: #3 Solving ExponentialEquations Exponential Equations More Difficult Equations

  15. Unit 4: #4 Applying ExponentialFunctions Decay: You buy a car for $15,000. It decreases in value at the rate of 16% per year. How much will it be worth in 8 years? Growth: You buy a baseball card for $50. It increases in value at the rate of 12% per year. How much will it be worth in 20 years?

  16. Unit 5: #1 Inverse Variations An “inverse variation” or “inverse proportion” is an equation in the form . x y 1 Graph it! 2 3 4 6 12 What do you notice?

  17. Unit 5: #2 Graphing Rational Functions What’s the shortcut for getting points on the graph?

  18. Simplifying Rational Expressions Unit 5: #3 Add Subtract Simplify first! Divide Multiply Domain Restrictions!!

  19. Unit 5: #4 Solving Rational Equations Using the common denominator Cross-Multiplying Watch out for extraneous solutions!

  20. Unit 6: #1 Sequences Arithmetic – has a common difference Geometric – has a common ratio

  21. Unit 6: #2 Series Arithmetic Geometric Infinite Geometric Series

  22. Unit 7: #1 Probability The basics Using a tree diagram You roll a 6-sided die. What is the probability that you will roll a number that is greater than 2? You roll two dice. What is the probability that you will roll a total of nine? A spinner has spaces (of the same size) numbered from 1 to 10. If you spin the spinner, what is the probability that you will land on a prime number?

  23. Unit 7: #2 Permutations/Combinations Order matters! (Permutation Lock) Order does not matter! (Committee) In how many ways can a president, vice-president, and secretary be chosen from a group of 10 people? In how many ways can a ruling committee of three be chosen from a group of 10 people?

  24. Unit 7: #3 Compound Events Independent Events Dependent Events An urn contains 6 red and 9 blue marbles. You choose 2 marbles without replacement. What is P(R,B)? You flip a coin, then roll a die. What is P(H,4)? An urn contains 6 red and 9 blue marbles. You choose 2 marbles with replacement. What is P(R,B)? An urn contains 6 red and 9 blue marbles. You choose 2 marbles with replacement. What is P(R,R)?

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