# SBAC

**Performance Task:**

**Practice Test Directions**

**Functions (notation and characteristics): **

- worksheet #1
**Intercepts worksheet #1**- Khan Exercises:
- Evaluate functions
- Evaluate functions from their graph
- Evaluate function expressions
- Function inputs & outputs: equation
- Function inputs & outputs: graph
- Relative maxima and minima
- Absolute maxima and minima
- Positive and negative intervals
- Average rate of change (given an equation)

- Average rate of change: graphs & tables
- Average rate of change word problems

**Linear Equations, Inequalities, and Functions**

- SBAC Review #2: Linear Equations and Functions WS#1
- SBAC Review Graphing Linear Equations WS#1
- Khan Exercises & Articles:
- Slope from a Graph
- Slope from two points
- Slope-intercept intro
- Graph from slope-intercept form
- Slope-intercept equation from graph
- Slope from equation
- Article: Point-slope form review

- Point-slope form
- Article: Standard form review

- Graph from linear standard form
- Compare linear functions
- Two-step inequalities
- Multi-step linear inequalities
- Compound inequalities

**System of Equations, Systems of Inequalities, and Linear Inequalities**

- SBAC Review #3: System of Equations and Inequalities WS#1
- Khan Exercises & Articles:
- Solutions of systems of equations
- Systems of equations with graphing
- Systems of equations with elimination
- Systems of equations with elimination challenge
- Systems of equations with substitution
- Number of solutions to a system of equations graphically
- Number of solutions to a system of equations algebraically
- Solutions of inequalities: algebraic
- Solutions of inequalities: graphical
- Two-variable inequalities from their graphs
- Systems of inequalities graphs

**Geometry: Right Triangle and Transformational Geometry**

**Statistics:**

**Solving equations:**

**Khan video: Solving equations by graphing**- Khan video: Solving equations by graphing: intro
- Khan exercise: Solving equations graphically: intro
- Khan video: Solving equations by graphing: graphing calculator
- Khan exercise: Solving equations graphically: graphing calculator
- Khan video: Solving equations by graphing: word problems

- Khan exercise: Solving equations graphically: word problems

**Quadratics:**

- Quadratics WS#1
**Powers of imaginary numbers**- Explanation
- Khan video: Intro to the imaginary numbers
- Khan article: Intro to the imaginary numbers
- Khan article: Powers of the imaginary unit
- Khan video: Powers of the imaginary unit
- Khan video: i as the principal root of -1 (optional in-depth video)

- Practice Problems:
- Khan exercises: Powers of the imaginary unit (skip any question with with dividing by
*i*)

- Khan exercises: Powers of the imaginary unit (skip any question with with dividing by

- Explanation
**Simplifying roots of negative numbers**- Explanation
- Khan video: Simplifying roots of negative numbers

- Practice Problems:
- Khan exercise: Simplify roots of negative numbers

**Complex Numbers**- Explanation:
- Khan video: Intro to complex numbers
- Khan articles: Intro to complex numbers
- Khan video: Classifying complex numbers

- Practice Problems:
- Khan exercise: Parts of complex numbers
- Khan exercise: Classify complex numbers

- Explanation:
**Operations (Add, Subtract, and Multiply) with Complex Numbers**- Explanation:
- Khan video: Adding complex numbers
- Khan video: Subtracting complex numbers
- Khan article: Multiplying complex numbers
- Khan video: Multiplying complex numbers

- Khan video: Adding complex numbers
- Practice Problems:
- Khan exercise: Add & subtract complex numbers
- Khan exercise: Multiply complex numbers (basic)
- Khan exercise: Multiply complex numbers

- Khan exercise: Add & subtract complex numbers

- Explanation

**Quadratic equations with complex solutions**

- Explanation
- Khan video: Solving quadratic equations: complex roots
- Practice Problems
- Khan exercise: Solve quadratic equations: complex solutions

**Building Functions & modeling**

- Explanation:
- Khan video: Modeling with function combination
- Khan video: End behavior of algebraic models

- Khan video: Modeling with function combination
- Exercises:
- Khan exercise: Model with function combination
- Khan exercise: End behavior of algebraic models

- Khan exercise: Model with function combination