New Notes and Videos
Notes and videos are provided by content objective. Student videos, videos sent to address specific questions, and videos by other instructors/sources are also included. This page is being continuously updated.
Note: Module and/or objective numbers for "Instructor's previous video" may be different as content was reorganized since Spring 2018. These videos will be removed as new ones are recorded.
Core Modules (Modules 1-8)
Module 1 - Real and Complex Numbers Links to an external site.
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Subgroups of the Real Numbers: Notes
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Links to an external site.
- Subgroups of the Complex Numbers: Notes Download Notes and Video Links to an external site.
- Order of Operations: Notes Download Notes and Video Links to an external site.
- Operations on Complex Numbers: Notes Download Notes and Video Links to an external site.
Module 2 - Linear Functions Links to an external site.
- Constructing Linear Functions: Notes Download Notes and Video Links to an external site.
- Converting between Linear Forms (Point-Slope, Slope-Intercept, Standard): Notes Download Notes and Video Links to an external site.
- Converting Between Linear Function and Graph: Notes Download Notes and Video Links to an external site.
-
Solve Linear Equations: Notes
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Links to an external site.
Module 3 - Inequalities
- Set Notation: Notes Download Notes and Video
- Solve Linear Inequalities: Notes Download Notes and Video
- Solve Compound Inequalities: Notes Download Notes and Video
Module 4 - Quadratic Functions
- Factor Trinomials: Notes Download Notes and Video
- Graph Quadratic Functions: Notes Download Notes and Video Links to an external site.
- Solve Quadratic Equations by Factoring: Notes Download Notes and Video
- Solve Quadratic Equations with the Quadratic Formula: Notes Download Notes and Video
Module 5 - Radical Functions
- Domain of Radical Functions: Notes Download Notes and Video
- Graph Rational Functions: Notes Download Notes and Video
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Solve Radical Equations
- ...that lead to Linear Equations: Notes Download Notes and Video
- ...that lead to Quadratic Equations: Notes Download Notes and Video
Module 6 - Polynomial Functions
- End and Zero Behavior: Notes Download Notes and Video
- Graph Polynomial Functions: Notes Download Notes and Video
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Constructing a Polynomial Function from Zeros: Notes
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- Instructor's previous video Links to an external site.
- Student video - Ashley Genova [complex roots example] Links to an external site.
- Student video - Elani Baltodano [complex roots and rational root example] Links to an external site.
- Student video - Nicole Zaldivar [when a is not 1] Links to an external site.
Module 7 - Rational Functions
- Domain of Rational Functions: Notes Download Notes and Video Links to an external site.
- Graph Rational Functions: Notes Download Notes and Video
- Solve Rational Equations: Notes Download Notes and Video
Module 8 - Logarithmic and Exponential Functions
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Domain/Range of
- Exponential Functions: Notes Download Notes and Video
- Logarithmic Functions: Notes Download Notes and Video
- Student video - Jolena Esperto Links to an external site.
- Student video - Halley Kunda Links to an external site.
- Convert Between Forms of Logarithmic and Exponential Functions: Notes Download Notes and Video Links to an external site.
- Properties of Logarithmic Functions: Notes Download Notes and Video
- Solve Exponential Functions: Notes Download Notes and Video
Advanced Modules - Limits
Module 9L - Operations on Functions
- Identify the domain after operating on functions: Notes Download Notes and Video
- Evaluate the composition of two functions: Notes Download Notes and Video
- Recognize whether a function is 1-1 or not: Notes Download Notes and Video
- Solve for the inverse of a function, if it exists: Notes Download Notes and Video
Module 10L - Synthetic Division
- Apply synthetic division to divide two polynomials: Notes Download Notes and Video
- Describe the possible rational or integer roots of a polynomial: Notes Download Notes and Video
- Apply synthetic division to completely factor a polynomial: Notes Download Notes and Video
Module 11L - Introduction to Limits
- Describe what the limit of a function represents: Notes Download Notes and Video
- Evaluate the left or right limit of a function: Notes Download Notes and Video
- Evaluate the limit of a function: Notes Download Notes and Video
Module 12L - Graphing Rational Functions with Limits
- Use limits to determine the holes of a rational function: Notes Download Notes and Video
- Use limits to determine the vertical asymptotes of a rational function: Notes Download Notes and Video
- Use limits to describe the horizontal asymptotes of a rational function: Notes Download Notes and Video
- Use limits to describe the oblique asymptotes of a rational function: Notes Download Notes and Video
- Using asymptotes and zeros to graph rational functions: Notes Download Notes and Video
Advanced Modules - Modeling
Module 9M - Modeling with Linear Functions
- Identify when a real-world situation would require a linear function: Notes Download Notes and Video Links to an external site.
- Describe the domain on which the model is valid: Notes Download Notes and Video Links to an external site.
- Construct a model equation for the real-life situation: Notes Download Notes and Video Links to an external site.
Module 10M - Modeling with Power Functions
- Identify when a real-world situation would require a direct variation equation: Notes Download Notes and Video Links to an external site.
- Identify when a real-world situation would require an inverse variation equation: Notes Download Notes and Video Links to an external site.
- Construct a model equation for the real-life situation: Notes Download Notes and Video Links to an external site.
Module 11M - Modeling with Log/Exp Functions
- Identify when a real-world situation would require a logarithmic function: Notes Download Notes and Video Links to an external site.
- Identify when a real-world situation would require an exponential function: Notes Download Notes and Video Links to an external site.
- Construct a logarithmic or exponential equation for the real-life situation: Notes Download Notes and Video Links to an external site.
Module 12M - Solving Real-World Modeling Word Problems
- Determine the appropriate type of function to model the situation: Notes Download Notes and Video
- Construct a model equation for the real-life situation: [after determining the type of function, refer to previous videos for help]
- Solve the model equation: [after determining the type of function, refer to previous videos for help]