Precalculus' Practice tab is organized by content themes and broken down into topics. Within each topic, questions are organized by leveled subtopics that increase in depth and difficulty as the student progresses.
Themes
The Precalculus Practice tab has the following themes:
- Fundamentals: Expressions, Equations, and Inequalities
- Fundamentals: Functions and Graphs
- Complex Numbers
- Polynomial and Rational Functions
- Exponential and Logarithmic Functions
- Trigonometric Functions
- Analytic Trigonometry
- Matrices and Systems
- Vectors
- Analytic Geometry and Conics
- Discrete Mathematics
- Introduction to Calculus: Limits
- Introduction to Calculus: Derivatives and Integrals
Topics
Each theme contains a range of specific topics. For example, here is a list of topics within our "Complex Numbers" theme:
- Complex Number Airthmetic
- Complex Plane
Subtopics
Each topic contains scaffolded subtopics we call "levels." A typical topic will begin with many easy, skill-based questions in "Level 1". As the levels increase, question ratios will shift towards more moderate and difficult questions with more real-life applications and conceptual practice.
Skills Practice
Based on teacher feedback, we’ve added extra Skill Practice subtopics to relevant Precalculus topics. These topics give students the at-bats they need to develop procedural fluency.
These subtopics include only multiple choice and multiple select questions with the “skill” tag.
Graphing Practice
We've also added Graphing Practice subtopics to relevant Precalculus topics. These are interactive graphing type questions that are meant to build fluency with the coordinate plane.
Assessments
In addition to our practice guide, Precalculus includes topic quizzes and exams that include questions unique from those on our practice guide. Topic quizzes are formative assessments meant to be given throughout the year, while our diagnostic and cumulative exams are summative assessments that are designed to be taken at the beginning and end of the year, respectively.