# AAA.2 Introduction into Functions and Relations

by Brian McLogan
# 1. AAA.22 Relations and Functions

## 1.1. AAA.221 Representing a relations

## 1.2. AAA.222 Finding the domain and range and identifying functions

### 1.2.1. AAA.2221 Mapping

### 1.2.2. AAA.2222 Coordinate points

1.2.2.1. AAA.22221 it is a functions

1.2.2.2. AAA.2222 it is not a function

### 1.2.3. AAA.2223 Graph

### 1.2.4. AAA.2224 Table

## 1.3. AAA.225 Essential questions and definitions

### 1.3.1. Whar are relations and when is a relation a functions?

### 1.3.2. AAA.215 What is the vertical line test?

### 1.3.3. AAA.218 What is the independent variable?

### 1.3.4. AAA.216 What is a functions rule?

### 1.3.5. AAA.219 What is the dependent variable?

### 1.3.6. AAA.217 What is function notation?

### 1.3.7. AAA.212 What is the domain of a relation?

### 1.3.8. AAA.214 What is a function?

### 1.3.9. AAA.213 What is the range of a relations?

### 1.3.10. AAA.211 What is a relation?

### 1.3.11. Why are functions useful?

## 1.4. AAA.226 Using function notation

### 1.4.1. AAA.2261 Finding the output for a given input

### 1.4.2. AAA.2262 Finding the output for a given input

### 1.4.3. AAA.2263

### 1.4.4. AAA.2264

## 1.5. AAA.227 Writing and Evaluating a function

### 1.5.1. AAA.2271

### 1.5.2. AAA.2272

## 1.6. New node

# 2. AAA.23 Direct Variation

# 3. AAA.24 Linear Functions in Slope intercept form

## 3.1. AAA.241 Essential Questions

### 3.1.1. AAA.2111 What is slope?

### 3.1.2. AAA.2114 What is the y-intercept of a line?

### 3.1.3. AAA.2112 What is a linear factor?

### 3.1.4. AAA.2113 What is an linear equation?

### 3.1.5. AAA.2411 What is Slope form

## 3.2. AAA.241 Finding Slope between two points

### 3.2.1. AAA.2411 Positive Slope

### 3.2.2. AAA.2412 Negative Slope

### 3.2.3. AAA.2413 Zero Slope

### 3.2.4. AAA.2414 Undefined Slope

### 3.2.5. AAA.2415 Fractions

## 3.3. AAA.243 Writing Equations in Slope intercept Form

### 3.3.1. AAA.2431

### 3.3.2. AAA.2432

### 3.3.3. AAA.2433

### 3.3.4. AAA.2434

### 3.3.5. New node

### 3.3.6. New node

## 3.4. AAA.242 Writing Linear Equations

### 3.4.1. AAA.2421 Given slope and point

### 3.4.2. AAA.2422 Given a Graph

### 3.4.3. AAA.2423 Given Two points

## 3.5. AAA.244 Graphing a linear equation

### 3.5.1. AAA.2441

### 3.5.2. New node

### 3.5.3. New node

### 3.5.4. New node

# 4. AAA.25 Linear Functions

## 4.1. AAA.251 Writing an Equation Given a point and the slope

### 4.1.1. AAA.2511

### 4.1.2. New node

### 4.1.3. New node

## 4.2. AAA.252 Writing an equation given two points

### 4.2.1. AAA.2521

### 4.2.2. New node

## 4.3. AAA.253 Essential Definitions and Questions

### 4.3.1. What are there three different forms for the equation of a line?

### 4.3.2. AAA.2117 What is the standard form of an equation?

### 4.3.3. AAA.2115 What is the x-intercept of a line?

### 4.3.4. AAA.2116 What is point slope form?

### 4.3.5. How are slopes of two lines relations

## 4.4. AAA.254 Writing Equations in Standard Form

### 4.4.1. AAA.2541

### 4.4.2. New node

### 4.4.3. New node

## 4.5. AAA.255 Graphing an equation using intercepts

## 4.6. AAA.257 Writing equations of parallel and perpendicular lines

## 4.7. AAA.256 I still don't get it

# 5. AAA.27 Families of Functions

## 5.1. AAA.271 Vertical translations

## 5.2. AAA.272 Horizontal Translations

## 5.3. AAA.273 Reflecting a function algebraically

## 5.4. AAA.Stretching and compressing a function

## 5.5. AAA.Combining Functions

## 5.6. AAA. Essential questions and definitions

### 5.6.1. AAA.2118 What is a parent function?

### 5.6.2. AAA.21113 What is a vertical stretch?

### 5.6.3. AAA.21117 What is a vertex?

### 5.6.4. AAA.21112 What is a reflections?

### 5.6.5. AAA.21114 What is a vertical compression?

### 5.6.6. AAA.2119 What is a transformation?

### 5.6.7. AAA.21116 What is an axis of symmetry?

### 5.6.8. AAA.21111 What is a translation?

# 6. AAA.28 Absolute Value Functions

## 6.1. AAA.281 Graphing Absolute Value Equations

## 6.2. AAA.282 Combining Translations

## 6.3. AAA.283 Vertical Stretch and compression

## 6.4. AAA.284 Essential questions

### 6.4.1. What is an absolute value equations

### 6.4.2. AAA.21115 What is an absolute value function?

# 7. AAA.29 Two Variable Inequalities

## 7.1. AAA.291 Graphing linear inequalities

## 7.2. AAA.292 Graphing an absolute value inequality

## 7.3. AAA.293 Writing an inequality based on a graph

## 7.4. AAA.294 Word Problems

## 7.5. AAA.295 Essential Questions

### 7.5.1. How is graphing an inequaltiy similar tin two varialbles to graphing a line

### 7.5.2. AAA.21119 What is a boundry line?

### 7.5.3. AAA.21118 What is an linear inequality?

### 7.5.4. AAA.211111 What are half-planes?

### 7.5.5. AAA.211112 What is a test point?