MT High School Calculus Curriculum
Give your student the support they need to keep up with Montana high school calculus. Lessons and practice problems cover every strand, from limits to integration techniques.
About High School Calculus Montana math
Montana follows the Montana Content Standards for mathematics, guiding high school study through conceptual understanding and procedural fluency. This calculus course spans limits and continuity, derivatives and their applications, and integral calculus including Riemann sums, the Fundamental Theorem of Calculus, substitution, and area and displacement. StudyPug provides step-by-step lessons and practice problems aligned to every strand in this course.
- Strands: limits and continuity, derivatives and applications, and integral calculus including area, displacement, and average value
- Video lessons for every calculus topic, from evaluating limits to applying integration techniques
- Practice problems with step-by-step solutions for derivatives, optimization, and definite integrals
- Content aligned to Montana Content Standards for high school mathematics
Curriculum topics by strand
Find lessons and practice problems for every High School Calculus topic, aligned to Montana Content Standards.
Montana High School Calculus Topics
- Limits and continuity: understand limits graphically and numerically, evaluate limits using substitution, determine continuity at a point, identify types of discontinuities, and find limits at infinity to describe end behavior.
- Derivatives and differentiation rules: understand the derivative as rate of change and slope of a tangent line; apply the power, product, quotient, and chain rules; differentiate trigonometric, exponential, and logarithmic functions; and work with implicitly defined functions.
- Applications of derivatives: find equations of tangent lines and use linear approximation, locate critical points and solve optimization problems, analyze increasing and decreasing behavior and concavity, sketch curves, solve related rates problems, and apply derivatives to velocity and acceleration.
- Antiderivatives and integral calculus: find antiderivatives of basic functions, approximate definite integrals using left, right, and midpoint Riemann sums, and use the Fundamental Theorem of Calculus to evaluate definite integrals.
- Integration techniques and applications: use substitution to evaluate integrals, find area under and between curves, calculate displacement and distance from velocity functions, and find the average value of a function over an interval.
How StudyPug Helps Montana High School Calculus Students
When a student gets stuck on a derivative rule or a tricky integration problem, StudyPug lets them go back to exactly the lesson they need. Each concept is broken into short, focused video lessons followed by practice problems with step-by-step solutions, so students can work through calculus at their own pace without falling behind in class.
Whether the challenge is setting up a related rates problem, applying the chain rule correctly, or understanding the Fundamental Theorem of Calculus, StudyPug covers every strand of Montana high school calculus so students always have a place to turn.
Aligned to Montana High School Calculus Curriculum
StudyPug's high school calculus content is built to match the Montana Content Standards for mathematics. Every strand - from limits and continuity through integral applications - follows the progression Montana students encounter in their calculus course, so lessons reinforce what is being taught in class rather than covering something different.
Written by the StudyPug Math Team
Last updated June 5, 2026
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