1. Multiple Representations
1.1. Graphing
1.2. Situations
1.3. Equations
1.4. Data
2. Algebraic Tools
2.1. working with expressions
2.1.1. Completing the square
2.1.2. Binomial Theorem
2.1.3. Factoring
2.1.3.1. Special Factored Forms
2.1.3.1.1. Difference of two squares
2.1.3.1.2. perfect square
2.1.3.2. Factoring techniques
2.1.3.2.1. generic rectangle
2.1.3.2.2. substitution
2.1.4. using logs and roots
2.2. Logarithms & Exponents
2.2.1. Exponent Rules
2.2.2. Roots & Radicals
2.2.3. Logarithmic Tools
3. Mathematical Habits of Mind
3.1. Expressing Reasoning
3.2. Reflecting
3.3. Problem-solving techniques
3.4. Perseverance
4. Functions
4.1. Definition
4.1.1. versus Relation
4.2. Notation
4.3. Distinctive Features
4.3.1. Domain/Range
4.3.2. Pattern or Rate of Change
4.3.3. Concavity
4.3.4. end point behavior
4.3.5. intercepts
4.4. Families of Functions
4.4.1. Linear
4.4.1.1. standard form
4.4.2. Quadratic
4.4.2.1. Forms
4.4.2.2. Distinctive Features
4.4.3. Exponential
4.4.3.1. Forms
4.4.3.2. Distinctive Features
4.4.4. Hyperbolic
4.4.4.1. Forms
4.4.4.2. Distinctive Features
4.4.5. Absolute Value
4.4.5.1. Forms
4.4.5.2. Distinctive Features
4.4.6. Radical
4.4.6.1. Forms
4.4.6.2. Distinctive Features
4.4.7. Sine
4.4.7.1. Forms
4.4.7.2. Distinctive Features
4.5. Working with Functions
4.5.1. Composition of Functions
4.5.2. Transforming Functions
4.5.3. Systems of Equations
4.5.4. Inverse
4.6. Trigonometry
4.6.1. Trig Ratios
4.6.2. Inverse Trig Ratios
4.6.3. Real World Applications