WY High School Calculus Curriculum

WY High School Calculus Topics

• Limits and continuity: Understanding limits graphically and numerically, evaluating limits using substitution, determining continuity at a point, identifying types of discontinuities, and finding limits at infinity to describe end behavior.
• Derivatives and differentiation rules: The derivative as rate of change and slope of a tangent line, the power rule, product rule, quotient rule, and chain rule, derivatives of trigonometric, exponential, and logarithmic functions, and implicit differentiation.
• Applications of derivatives: Equations of tangent lines and linear approximation, critical points, local maxima and minima, optimization problems, curve sketching using increasing/decreasing behavior and concavity, related rates, and velocity and acceleration problems.
• Antiderivatives and integration: Finding antiderivatives of basic functions using initial conditions, approximating definite integrals with left, right, and midpoint Riemann sums, and the substitution method for evaluating integrals.
• The Fundamental Theorem of Calculus and its applications: Using the FTC to evaluate definite integrals, finding area under curves and between curves, calculating displacement and distance from velocity functions, and finding the average value of a function over an interval.

How StudyPug Helps Wyoming High School Calculus Students

When a student gets stuck on a related rates problem or cannot remember how to apply the chain rule, StudyPug provides a clear video lesson walking through each step at their own pace. They can rewatch any part, then move straight into practice problems that mirror what their Wyoming class assigns, building confidence before the next test.

For the integration unit - whether that is Riemann sums, the Fundamental Theorem of Calculus, or area between curves - students get worked examples that show exactly where the thinking happens, not just the final answer. Instant feedback on every practice question helps them catch errors early and correct their understanding before it affects their grade.

Aligned to Wyoming High School Calculus Curriculum

All StudyPug calculus content is built around the Wyoming Standards for Mathematics, so every lesson on limits, every derivative rule practice set, and every integration problem maps directly to what Wyoming high school students are expected to learn. Families can trust that the topics their student practices here are the same ones covered in class.