Pre-Calculus Supplemental Resources

Unit 1 Summary Notes

IXL Skills and Lessons:

• Set Builder Notation Examples and Practice

• Identifying Functions Examples and Practice

• Domain and Range Examples and Practice

• Identifying Graphs from Word Problems Examples and Practice

If you need help with something not listed here, please contact your teacher!

Unit 2 Summary Notes

The difference between horizontal and vertical transformations

IXL Skills and Lessons:

• Evaluating Functions

• Identifying Functions

• Domain and Range

• Equations of Parallel and Perpendicular Lines

• Even and Odd Functions

• Zeros of Polynomial Functions

• Domain of rational functions

• Rational functions: asymptotes and excluded values

• Transformation Rules

• Transformations of Functions

• More Transformations of Functions

• Add, Subtract, Multiply, and Divide Functions

• Composition of Functions

• More Composition of Functions

• Identify Inverse Functions

• Evaluate Inverse Functions from Tables and Graphs

• Find Inverse Functions and Relations

If you need help with something not listed here, please contact your teacher!

Unit 3 Summary Notes

IXL Skills and Lessons:

• Quadratic Equations Lesson and Related Practice

• Factoring Quadratic Equations Lesson and Related Practice

• Completing the Square Lesson and Related Practice

• Solve Word Problems with Quadratic Functions Practice

If you need help with something not listed here, please contact your teacher!

Unit 4 Summary Notes

Transformations of Exponential Functions Examples Video

IXL Skills and Lessons:

• Exponential Functions Lesson and Related Practice

• Convert Between Exponential and Logarithmic Form Practice

• Properties of Logarithms Practice

• Domain and Range of Logarithmic Functions Practice

• Solving Exponential Equations by Using Logarithms Practice

• Solving Logarithmic Equations Practice

• Solving Logarithmic Equations Practice 2

• Compound Interest Word Problems Practice

If you need help with something not listed here, please contact your teacher!

Unit 5 Summary Notes

IXL Skills and Lessons:

• Explicit and Recursive Formulas for Sequences Practice

• Introduction to Sigma Notation Practice

• Convergent and Divergent Series Practice

• Sum of an Arithmetic Series (using sigma notation) Practice

• Sum of a Finite Geometric Series (using sigma notation) Practice

• Sum of an Infinite Geometric Series Practice

If you need help with something not listed here, please contact your teacher!

Unit 6 Summary Notes

IXL Skills and Lessons:

• Solving Right Triangles Practice

• Law of Sine Practice

• Law of Cosine Practice

• Solving Any Triangle Practice

• Area of a Triangle Using Sine Practice

• Convert Between Radians and Degrees Practice

• Radians and Arc Length Practice

• Coterminal and Reference Angles Practice

• Finding Trig Ratios Using Right Triangles Practice

• Finding Trig Ratios Using the Unit Circle Practice

• Finding Trig Ratios Using Reference Angles Practice

• Solving Trig Equations for Missing Angles Practice 

If you need help with something not listed here, please contact your teacher!

Unit 7 Summary Notes

IXL Skills and Lessons:

• Properties of Sine Functions Practice

• Write Equations of Sine Functions from Graphs and Given Properties

• Write Equations of Cosine Functions from Graphs and Given Properties

• Graph Sine and Cosine Functions Practice

• Graph Translations of Sine and Cosine Functions

• Find Trig Ratios Using a Pythagorean or Reciprocal Identity Practice

• Trig Sum and Difference Identities Practice

If you need help with something not listed here, please contact your teacher!

Unit 8 Summary Notes

IXL Skills and Lessons:

• Properties of Parabolas Practice

• Graph Parabolas Practice

• Write Equations of Parabolas Practice

• Equations of Circles in Standard Form Practice

• Graph Circles Practice

• Properties of Ellipses Practice

• Eccentricity of Ellipses Practice

• Write Equations of Ellipses in Standard Form Practice

• Properties of Hyperbolas Practice

• Eccentricity of Hyperbolas Practice

• Equations of Hyperbola in Standard Form Practice

• Converting Between Forms of Equations Practice

• Match Polar Equations and Graphs Practice

If you need help with something not listed here, please contact your teacher!

Unit 9 Summary Notes

IXL Skills and Lessons:

• Find the Magnitude of a Vector Practice

• Find the Component Form of a Vector Practice

• Find the Direction Angle of a Vector Practice

• Add and Subtract Vectors Practice

• Properties of matrices 

• Add and subtract matrices 

• Add and subtract scalar multiples of matrices 

• Multiply two matrices 

• Solve matrix equations 

• Determinant of a matrix 

• Is a matrix invertible? 

• Inverse of a 2 x 2 matrix 

• Solve matrix equations using inverses 

• Transformation matrices: write the vertex matrix 

• Transformation matrices: graph the image 

If you need help with something not listed here, please contact your teacher!

Unit 10 Summary Notes

IXL Skills and Lessons:

• Find Limits Using Graphs Practice

• Find one-sided limits using graphs 

• Determine if a limit exists 

• Find limits at vertical asymptotes using graphs 

• Determine end behavior using graphs 

• Find limits using limit laws 

• Find limits of polynomials and rational functions

• Find limits involving factorization and rationalization 

• Identify graphs of continuous functions 

• Determine continuity using graphs 

• Find and analyze points of discontinuity using graphs 

• Find instantaneous rates of change 

• Find the slope of a tangent line using limits 

• Find equations of tangent lines using limits 

If you need help with something not listed here, please contact your teacher!