The student will be able to:

1. Explore topics related to developing effective learning skills.
2. Graph, analyze, and transform linear, quadratic, piecewise, absolute value, power, and radical functions, and solve and apply related equations and inequalities.
3. Recognize the relationship between functions and their inverses graphically and algebraically.
4. Solve application problems using linear, quadratic, piecewise, power, and radical functions and model real world applications.
5. Understand and compute rates of change.
6. Use technology, such as graphing calculators and/or computer software, to assist in solving problems involving any of the topics in (1) through (5) above.
7. Discuss mathematical problems and write solutions in accurate mathematical language and notation.
8. Interpret mathematical solutions.

1. Explore topics related to developing effective learning skills
   1. Learn study skills
      1. Organizational skills
      2. Time management
      3. Test preparation
      4. Test-taking skills
   2. Self-assess using performance criteria to judge and improve one's own work
      1. Analyze and correct errors on one's exam
      2. Self-assess one's understanding of specific mathematical concepts
      3. Develop and execute a plan to deepen understanding
   3. Identify, utilize, and evaluate the effectiveness of resources in improving one's own learning, such as study groups, computer resources, lab resources, and tutoring resources
2. Graph, analyze, and transform linear, quadratic, piecewise, absolute value, power, and radical functions, and solve and apply related equations and inequalities
   1. Use function notation
      1. Evaluate functions
      2. Determine a relation vs. a function
      3. Be able to convert words representing function relationships into symbolic and graphical representation
   2. Recognize each function type
   3. Explore the behavior of graphs
      1. Increasing and decreasing
      2. Local extrema
   4. Find domain and range
   5. Transform graphs
      1. Identify and graph the change in a function that results from shifts, reflections, stretches, and compressions
      2. Be able to recognize the change in a graph of a function when a combination of transformations is applied
      3. Understand the concept of symmetry of functions
      4. Odd, even, or neither
   6. Compose and combine functions
   7. Solve equations and inequalities
3. Recognize the relationship between functions and their inverses graphically and algebraically
   1. Determine whether or not a function as an inverse function
   2. Properties of inverse functions
   3. Notation
4. Solve application problems using linear, quadratic, piecewise, power, and radical functions and model real world applications
   1. Create an appropriate model from a verbal description or graph
   2. Use chosen models to solve application problems
   3. Interpret solutions
5. Understand and compute rates of change
   1. Calculate average rate of change from a table, graph, or an equation
   2. Understand the implications of a function that has a constant or variable rate of change
   3. Interpret the meaning of an average rate of change in the context of a applications
6. Use technology, such as graphing calculators and/or computer software, to assist in solving problems involving any of the topics in (1) through (5) above
   1. Calculator/computer utilities for evaluating problems involving optimization
   2. Calculator/computer utilities for finding zeros or roots of functions
7. Discuss mathematical problems and write solutions in accurate mathematical language and notation
   1. Application problems from other disciplines
   2. Proper notation
8. Interpret mathematical solutions
   1. Explain the significance of solutions to application problems

Not applicable.

Written homework
Quizzes and tests

Lecture
Discussion
Cooperative learning exercises

Boelkins, Matthew. Active Prelude to Calculus. 2019.

Abramsom, Jay. Precalculus, 2nd ed. (Openstax). 2024.

1. Problem sets
2. Exploratory activities and/or projects
3. Reading and/or writing assignments