VT High School Calculus Curriculum
Give your student the support they need to succeed in Vermont high school calculus, with lessons and practice covering limits, differentiation, and integration aligned to what their class teaches.
About High School Calculus Vermont math
Vermont follows the Vermont Adopted Math Standards, guiding high school math through both conceptual understanding and procedural fluency. This calculus course spans limits, continuity, and end behavior; all major differentiation rules including implicit differentiation and optimization; and a full integration unit covering Riemann sums, the Fundamental Theorem of Calculus, substitution, and area between curves. StudyPug provides video lessons and practice problems aligned to every strand in this course.
- Strands: limits and continuity, differentiation rules and applications, and integration techniques and applications
- Video lessons for every calculus topic, from basic limits to average value of functions
- Practice problems and step-by-step solutions aligned to Vermont Adopted Math Standards
- Tools for homework help, test preparation, and working ahead at your own pace
Curriculum topics by strand
Lessons and practice for every Vermont high school calculus topic, aligned to the Vermont Adopted Math Standards.
Vermont 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.
- Differentiation rules and techniques: the derivative as rate of change and slope of the tangent line, power rule, product rule, quotient rule, chain rule, derivatives of trigonometric and exponential and logarithmic functions, and implicit differentiation.
- Derivative applications: equations of tangent lines and linear approximation, critical points and local extrema, optimization problems, curve sketching using increasing and decreasing behavior and concavity, related rates, and applications to velocity and acceleration.
- Integration fundamentals: antiderivatives of basic functions with initial conditions, left and right and midpoint Riemann sums, and the Fundamental Theorem of Calculus.
- Integration techniques and applications: substitution method, area under curves and between curves, displacement and distance from velocity functions, and average value of functions over intervals.
How StudyPug Helps Vermont High School Calculus Students
When a student gets stuck on a problem - whether it is setting up a related rates equation or applying the chain rule correctly - StudyPug lets them go back to the exact concept at any time. Each video lesson walks through a single idea step by step, and the practice problems that follow let students check their understanding right away.
Vermont high school calculus moves quickly, and keeping up with both the differentiation and integration units at the same time can be challenging. StudyPug gives students a way to review a topic from the beginning, work through guided examples, and build confidence before the next class or test.
Aligned to Vermont High School Calculus Curriculum
Every lesson and practice problem on StudyPug for this course is built around the strands that appear in Vermont Adopted Math Standards for high school calculus - limits, derivatives, and integrals - so the content students see on StudyPug matches what their teacher is covering in class.
Written by the StudyPug Math Team
Last updated June 5, 2026
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