MN High School Calculus Curriculum
Give your student the support they need to succeed in high school calculus. Our lessons cover every topic Minnesota schools teach, from limits to integrals.
About High School Minnesota Calculus
Minnesota high school calculus follows the Minnesota Academic Standards, building on algebra and precalculus foundations through rigorous study of limits, derivatives, and integrals. Students work through limits and continuity, differentiation rules including the product, quotient, and chain rules, applications of derivatives such as optimization and related rates, and integral calculus covering antiderivatives, Riemann sums, the Fundamental Theorem of Calculus, and area between curves. StudyPug provides video lessons and practice problems aligned to every strand of this course.
- Core strands: Limits and Continuity, Differentiation, Applications of Derivatives, and Integral Calculus
- Video lessons with step-by-step explanations for every calculus topic
- Practice problems and worked examples matched to Minnesota Academic Standards
- Flexible access on any device so students can study whenever they need help
Curriculum topics by strand
Browse lessons and practice problems for every strand, aligned to the Minnesota Academic Standards for high school calculus.
Minnesota High School Calculus Topics
- Limits and Continuity: Understand limits graphically and numerically, evaluate basic limits using substitution, determine continuity at a point, identify types of discontinuities, and find limits at infinity to describe end behavior.
- Differentiation: Understand the derivative as rate of change and slope of a tangent line; find derivatives using the power rule, product rule, quotient rule, and chain rule; differentiate trigonometric, exponential, and logarithmic functions; and find derivatives of implicitly defined functions.
- Applications of Derivatives: Find equations of tangent lines, use linear approximation, identify critical points and local extrema, solve optimization problems, analyze increasing and decreasing behavior and concavity, sketch curves using derivatives, solve related rates problems, and apply derivatives to velocity and acceleration.
- Integral Calculus: Find antiderivatives of basic functions, approximate definite integrals using Riemann sums, apply the Fundamental Theorem of Calculus, use substitution to evaluate integrals, find area under and between curves, and calculate displacement, distance, and average value of functions over intervals.
How StudyPug Helps Minnesota High School Calculus Students
When a student is stuck on a problem - whether it is setting up a related rates equation or applying the chain rule correctly - they can search for the exact topic and watch a focused video lesson right away. Each lesson walks through the concept step by step, and practice problems let students check their understanding before the next class.
StudyPug organizes every calculus topic to match what Minnesota students are covering in school, so there is no guesswork about whether the material is relevant. Students build confidence by working through problems at their own pace and revisiting any lesson as many times as they need.
Aligned to Minnesota High School Calculus Curriculum
Every lesson and practice problem on StudyPug is built around the Minnesota Academic Standards, covering the same limits, differentiation, and integration topics that students encounter in their Minnesota high school calculus course. Families can trust that the content supports exactly what is being taught in class.
Written by the StudyPug Math Team
Last updated June 5, 2026
3 M+
students
★★★★★
4.8 average
92%
improve grades