Grades 11–12: Precalculus, Calculus, and Applied Statistics

Prepares students for college-level mathematics through applied problem-solving, analytical reasoning, and data-driven learning.

High school students collaborating on advanced math topics including calculus and statistics. A whiteboard behind them displays equations, graphs, and data charts symbolizing logical reasoning and analytical thinking.

Grades 11–12 | Precalculus, Calculus, and Applied Statistics

Overview
Grades 11–12 mark the culmination of high school mathematics, where students move from structured problem-solving to abstract reasoning. Courses emphasize functions, rates of change, and quantitative analysis—preparing students for college-level math, science, and engineering. Instruction blends theory, visualization, and application to build deep understanding and confidence.

Core Topics
• Function modeling (polynomial, exponential, and trigonometric)
• Limits, derivatives, and integrals
• Applications of calculus (motion, optimization, and area)
• Probability, data analysis, and statistical inference
• Regression, correlation, and real-world modeling
• Technology integration with Desmos, GeoGebra, or WolframAlpha

Approach
Lessons combine clear explanation, guided derivation, and applied problem-solving. We draw from trusted texts—Stewart Calculus, OpenStax Precalculus, and Moore & McCabe Statistics—and use select digital tools and visualizations to make abstract ideas tangible.

Format
Small groups (4–6 students) meet twice weekly for 90 minutes at Hunter Ridge, Mahomet, IL (5:00–9:00 p.m.). Placement testing ensures readiness and group alignment. Each session includes review, instruction, applied examples, and feedback.

Outcomes
Students finish high school prepared for college-level calculus and statistics, equipped with strong reasoning, data analysis, and problem-solving skills essential for STEM, economics, and data-driven fields.