## 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?