Number and Quantity
The Complex Number System
  • Perform arithmetic operations with complex numbers
  • Represent complex numbers and their operations on the complex plane
Vector and Matrix Quantities
  • Represent and model with vector quantities
  • Perform operations on vectors

Seeing Structure in Expressions

  • Interpret the structure of expressions

Arithmetic with Polynomials and Rational Expressions

  • Rewrite rational expressions

Creating Equations

  • Create equations that describe numbers or relationships

Reasoning with Equations and Inequalities

  • Solve systems of equations

Interpreting Functions

  • Build new functions from existing functions

Trigonometric Functions

  • Expand the domain of trigonometric functions using a unit circle
  • Model periodic phenomena with trigonometric functions.
  • Prove and apply trigonometric identities

Similarity, Right Trianggles, and Trigonometry

  • Apply trigonometry to general triangles

Expressing Geometric Properties with Equations

  • Translate between the geometric description and the equation for a conic section
Mathematical Practices
  1. Make sense of problems and persevere in problem solving them.

  2. Reason abstractly and quantitatively.

  3. Construct viable arguments and critique the reasoning of others.

  4. Model with mathematics.

  5. Use appropriate tools strategically.

  6. Attend to precision.

  7. Look for and make use of structure.

  8. Look for and express regularity in repeated reasoning.

Semesters at a Glance

Semester 1

Semester 2

  • Functions & Their Graphs (2 weeks)
  • Linear Systems & Matrices (3 weeks)
  • Polynomial & Rational Functions (3 weeks)
  • Conics (3 weeks)
  • Exponential & Logarithmic Functions(2 weeks)
  • Trigonometric Functions (2 weeks)
  • Trigonometric Functions (4 weeks)
  • Analytic Trigonometry (3 weeks)
  • Vectors & Trigonometry (4 weeks)
  • Parametric (2 weeks)
  • Polar Functions & Complex Numbers (4 weeks)

Precalculus Overview

Overview/Critical Areas of Study

Precalculus Curriculum Guide (one page)

Precalculus Detailed Mathematics Guide (password protected)
Standards for Mathematical Practice in Action
Precalculus Critical Key Ideas
Precalculus Course Descriptions
Precalculus Framework
Precalculus Critical Areas

Santa Monica-Malibu Unified School District
1651 16th Street
Santa Monica, California 90404