Pre-Calculus

Pre-Calculus prepares students for calculus by covering functions, trigonometry, and analytical geometry.

Functions and Their PropertiesTrigonometric FunctionsAnalytical Geometry
Polynomial and Rational FunctionsExponential and Logarithmic FunctionsConic Sections
Modeling Real-World DataEngineering and DesignFinance and Population Growth
Graphing TechniquesProblem-Solving and Test Preparation
Functions and Their ...Trigonometric Functi...Analytical GeometryPolynomial and Ratio...Exponential and Loga...Conic SectionsModeling Real-World ...Engineering and Desi...Finance and Populati...Graphing TechniquesProblem-Solving and ...
Practical Applications

Modeling Real-World Data

Turning Numbers Into Meaningful Patterns

Pre-Calculus tools help us take real-world data—like temperatures, populations, or profits—and find functions or curves that fit. This process is called modeling.

Steps in Modeling

  1. Collect data (e.g., daily temperatures).
  2. Choose a function type (linear, quadratic, exponential).
  3. Fit the function to the data using graphing calculators or software.
  4. Interpret the results to make predictions.

Why It Matters

Modeling helps us predict the future and make informed decisions in fields like business, climate science, and sports.

Examples

  • A scientist predicts next year’s average temperature using a quadratic model.

  • A coach models an athlete’s progress to optimize training schedules.

Next
Engineering and Design