1. Algebra II
Graphic Organizers

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

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

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

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

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

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

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

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

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

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

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

13. Graphing Exponential Functions
Unit 4: #1
Graphing Exponential Functions
𝑦=3 (2) 𝑥
𝑦=5 (0.4) 𝑥

14. Solving Exponential Equations
Unit 4: #3
Solving Exponential Equations
Exponential Equations
More Difficult Equations
6 𝑥 =36
2 𝑥 = 1 32
4 𝑥 =8
3 2𝑥 = 9 𝑥

15. Applying Exponential Functions
Unit 4: #4
Applying Exponential Functions
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?
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?

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

17. Graphing Rational Functions
Unit 5: #2
Graphing Rational Functions
𝑦= 6 𝑥−2 +3
𝑦= −12 𝑥+3 −4
What’s the shortcut for getting points on the graph?

18. Simplifying Rational Expressions
Unit 5: #3
Add
4 𝑥 + 3 𝑦
Subtract
1 𝑥−2 − 3 𝑥+2
Simplify first!
𝑥 2 −4 𝑥 2 +6𝑥+8
Divide
Multiply
6𝑥 𝑦 3 5𝑥+5𝑦 ÷ 8 𝑥 4 𝑦 2 𝑥+𝑦
𝑥 2 −9 𝑥+5 ∙ 𝑥 2 +7𝑥+10 𝑥 2 +6𝑥+9
Domain
Restrictions!!

19. Solving Rational Equations
Unit 5: #4
Solving Rational Equations
Cross-Multiplying
Using the common denominator
3 𝑥+2 = 𝑥−1 6
1 𝑥 = 7 2𝑥
Watch out for extraneous solutions!

20. Sequences Unit 6: #1 Arithmetic – has a common difference
Geometric – has a common ratio
𝑎 𝑛 = 𝑎 1 + 𝑛−1 𝑑
𝑎 𝑛 = 𝑎 1 (𝑟) 𝑛−1

21. Series Unit 6: #2 Arithmetic Geometric 𝑆 𝑛 = 𝑛 2 𝑎 1 + 𝑎 𝑛
𝑆 𝑛 = 𝑛 2 𝑎 1 + 𝑎 𝑛
𝑆 𝑛 = 𝑎 1 1− 𝑟 𝑛 1−𝑟
Infinite
Geometric
Series

22. Probability Unit 7: #1 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. Permutations/Combinations
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. Compound Events Unit 7: #3 Independent Events Dependent Events
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 without 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,B)?
An urn contains 6 red and
9 blue marbles. You choose
2 marbles with replacement.
What is P(R,R)?