Pre Calculus

Basic Math Skills 2

Credit Value: 1

Anticipated Grade Level(s): 11th or 12th 

Precalculus is a comprehensive course that weaves together the previous study of algebra, geometry, and functions into a preparatory course for calculus. The course focuses on the mastery of critical skills and exposure to new skills necessary for success in subsequent math courses. The first semester includes linear, quadratic, exponential, logarithmic, radical, polynomial, and rational functions; systems of equations; and conic sections. The second semester covers trigonometric ratios and functions; inverse trigonometric functions; applications of trigonometry, including vectors and laws of cosine and sine; polar functions and notation; and arithmetic of complex numbers.

Within each Precalculus lesson, students are supplied with a post-study Checkup activity that provides them the opportunity to hone their computational skills in a low-stakes problem set before moving on to formal assessment. Additionally, connections are made throughout the Precalculus course to calculus, art, history, and a variety of other fields related to mathematics.

The course is built to the National Council of Teachers of Mathematics (NCTM) standards and is aligned with state standards.

Course Content

Total learning: 63 lessons Time: 10 weeks
  • Functions and Graphs
    • Lecture1.1
    • Lecture1.2
    • Lecture1.3
    • Lecture1.4
    • Lecture1.5
    • Lecture1.6
    • Lecture1.7
    • Lecture1.8
  • Polynomial, Power, and Rational Functions
    • Lecture2.1
    • Lecture2.2
    • Lecture2.3
    • Lecture2.4
    • Lecture2.5
    • Lecture2.6
    • Lecture2.7
    • Lecture2.8
    • Lecture2.9
  • Exponential, Logistic, and Logarithmic Functions
    • Lecture3.1
    • Lecture3.2
    • Lecture3.3
    • Lecture3.4
    • Lecture3.5
    • Lecture3.6
    • Lecture3.7
  • Trigonometric Functions
    • Lecture4.1
      Angles and Their Measures Preview
    • Lecture4.2
      Trigonometric Functions of Acute Angles Preview
    • Lecture4.3
    • Lecture4.4
    • Lecture4.5
    • Lecture4.6
    • Lecture4.7
    • Lecture4.8
    • Lecture4.9
  • Analytic Trigonometry
    • Lecture5.1
    • Lecture5.2
    • Lecture5.3
    • Lecture5.4
    • Lecture5.5
    • Lecture5.6
    • Lecture5.7
  • Applications of Trigonometry
    • Lecture6.1
    • Lecture6.2
    • Lecture6.3
    • Lecture6.4
    • Lecture6.5
    • Lecture6.6
    • Lecture6.7
  • Systems and Matrices
    • Lecture7.1
    • Lecture7.2
    • Lecture7.3
    • Lecture7.4
    • Lecture7.5
    • Lecture7.6
  • Discrete Mathematics
    • Lecture8.1
    • Lecture8.2
    • Lecture8.3
    • Lecture8.4
    • Lecture8.5
    • Lecture8.6
    • Lecture8.7
    • Lecture8.8
    • Lecture8.9
    • Lecture8.10

About the Instructor

David David

David is a professor of mathematics education at the Aphy School. His research focuses on social and cultural factors as well as educational policies and practices that facilitate mathematics engagement, learning, and performance, especially for underserved students. Alphy School collaborates with teachers, schools, districts, and organizations to promote mathematics excellence and equity for young people.

0 rating

5 stars
4 stars
3 stars
2 stars
1 star
error: Content is protected !!