SD High School Calculus Curriculum
Give your student the support they need to keep up with South Dakota high school calculus. Step-by-step lessons cover limits, derivatives, and integrals, matched to what their class is teaching.
About High School Calculus South Dakota math
South Dakota follows the South Dakota Content Standards for mathematics, organizing high school calculus around limits, differential calculus, and integral calculus. Students work through evaluating limits graphically and numerically, finding derivatives using the power, product, quotient, and chain rules, and applying integrals to area and displacement problems. StudyPug provides video lessons, worked examples, and practice problems that follow this progression step by step.
- Limits and continuity, derivatives and their applications, and integral calculus including Riemann sums and the Fundamental Theorem of Calculus
- Video lessons taught by certified teachers for every calculus topic
- Practice problems with step-by-step solutions for each strand
- Content aligned to the South Dakota Content Standards for high school math
Curriculum topics by strand
Lessons and practice for every strand, aligned to the South Dakota Content Standards for high school calculus.
SD High School Calculus Topics
- Limits and continuity: Evaluating limits graphically and numerically using substitution, identifying types of discontinuities, and describing end behavior with limits at infinity.
- Derivatives - rules and techniques: Power rule, product rule, quotient rule, and chain rule; derivatives of trigonometric, exponential, and logarithmic functions; implicit differentiation.
- Applications of derivatives: Tangent lines and linear approximation, critical points, local maxima and minima, optimization, curve sketching, related rates, and velocity and acceleration problems.
- Introduction to integrals: Antiderivatives with initial conditions, left, right, and midpoint Riemann sums for approximating definite integrals.
- The Fundamental Theorem of Calculus and integration techniques: Using FTC to evaluate definite integrals, substitution method, area under and between curves, displacement and distance from velocity functions, and average value of a function.
How StudyPug Helps SD High School Calculus Students
When a student gets stuck on a related rates problem or cannot follow the steps of implicit differentiation, StudyPug lets them replay a focused video lesson as many times as needed, then try a matched practice problem with a full step-by-step solution right beside it. That combination of watching, pausing, and practicing helps the concept stick before the next class.
Students preparing for college-readiness exams or simply trying to keep pace with a fast-moving calculus course can work through each strand at their own speed, revisiting limits or integration techniques whenever they need a refresher, without waiting for a scheduled class session.
Aligned to SD High School Calculus Curriculum
Every lesson on StudyPug is built around the topics and skills outlined in the South Dakota Content Standards for high school mathematics. From the first unit on limits through Riemann sums and the Fundamental Theorem of Calculus, the content follows the same sequence South Dakota calculus courses use, so what students practice here directly supports what they are learning in class.
Written by the StudyPug Math Team
Last updated June 5, 2026
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