High School Pre-Calculus Curriculum

The Time4Learning Precalculus curriculum is one of five math courses offered at the high school level. Students can expect to see various concepts being covered including derivatives, logarithmic functions, curve sketching, solving vertical motion problems and more.

Precalculus is taught using a combination of multimedia lessons, instructional videos, worksheets, quizzes, tests and both online and offline projects.

Members often use this page as a resource for more detailed planning, as a guide to help select activities using the activity finder, or to compare our curriculum with state standards and homeschooling laws.

Precalculus Course Overview

Time4Learning’s Precalculus course is organized into 8 chapters that introduce and cover:

  1. Functions and Graphs
  2. Lines and Rates of Change
  3. Sequences and Series
  4. Polynomial and Rational Functions
  5. Exponential and Logarithmic Functions
  6. Analytic Geometry
  7. Linear Algebra and Matrices
  8. Probability and Statistics

Chapter 1 – Functions and Graphs

The materials in this chapter introduce and cover Functions and Graphs. It is organized into sections that teach, reinforce and test students on the properties of functions, limits and continuity, inverse functions, and piecewise functions.

Chapter 2 – Lines and Rates of Change

The materials in this chapter introduce and cover the Lines and Rates of Change. It is organized into sections that teach, reinforce and test students on how to analyze and graph linear functions, and understand rates of change.

Chapter 3 – Sequences and Series

The materials in this chapter introduce and cover Sequences and Series. It is organized into sections that teach, reinforce and test students on the concepts of sequences, series, and proofs by induction.

Chapter 4 – Polynomial & Rational Functions

The materials in this chapter introduce and cover Polynomial & Rational Functions. It is organized into sections that teach, reinforce and test students on analyzing and graphing polynomial and rational functions.

Chapter 5 – Exponential & Logarithmic Functions

The materials in this chapter introduce and cover Exponential & Logarithmic Functions. It is organized into sections that teach, reinforce and test students on graphing exponential and logarithmic functions, including functions with base e.

Chapter 6 – Analytic Geometry 

The materials in this chapter introduce and cover Analytic Geometry. It is organized into sections that teach, reinforce and test students on how to analyze, graph, and apply conic sections and functions in polar and parametric forms.

Chapter 7 – Linear Algebra and Matrices

The materials in this chapter introduce and cover Linear Algebra and Matrices. It is organized into sections that teach, reinforce and test students on how to perform matrix operations, find inverse matrices and determinants, and solve systems of equations by using matrix methods such as the Gauss- Jordan Method, inverse matrices, and Cramer’s Rule.

Chapter 8 – Probability and Statistics

The materials in this chapter introduce and cover Probability and Statistics. It is organized into sections that teach, reinforce and test students on how to determine probability distributions, find linear, polynomial, exponential, and logarithmic graphs of best fit using regression equations, and analyze frequency distributions.

Additional Resources Related to High School

If you’re interested in the high school Pre-calculus curriculum, you might also be interested in:

Online Curriculum for Homeschool, Afterschool and Summer Use

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