About High School Tennessee Calculus
Tennessee follows the Tennessee Academic Standards, which organize high school calculus around the major strands of limits and continuity, differential calculus, and integral calculus. In this course, students evaluate limits graphically and numerically, apply differentiation rules including the power, product, quotient, and chain rules, explore implicit differentiation, optimization, and related rates, then move into antiderivatives, Riemann sums, the Fundamental Theorem of Calculus, and area between curves. StudyPug provides video lessons and practice problems for every strand in this course.
- Limits and continuity, differential calculus, and integral calculus strands
- Video lessons for every calculus topic aligned to Tennessee Academic Standards
- Practice problems with step-by-step solutions for derivatives and integrals
- Accessible on any device, any time, so students can review at their own pace
Curriculum topics by strand
Find lessons and practice problems for every strand, aligned to the Tennessee Academic Standards for high school calculus.
TN High School Calculus Topics
- Limits and continuity: Evaluating limits graphically and numerically using substitution, identifying types of discontinuities, and analyzing end behavior through limits at infinity.
- Differential calculus - rules and techniques: Derivatives using the power, product, quotient, and chain rules; derivatives of trigonometric, exponential, and logarithmic functions; and implicit differentiation.
- Applications of derivatives: Tangent line equations, linear approximation, critical points, optimization, curve sketching, related rates, and velocity and acceleration problems.
- Integral calculus - foundations: Antiderivatives with initial conditions, left, right, and midpoint Riemann sums, and the Fundamental Theorem of Calculus.
- Applications of integration: Substitution method, area under and between curves, displacement and distance from velocity functions, and average value of a function over an interval.
How StudyPug Helps Tennessee High School Calculus Students
When a student gets stuck on a related rates problem or cannot see why the chain rule applies, StudyPug provides a focused video lesson that walks through the concept step by step. Rather than waiting until the next class, students can rewatch the explanation as many times as they need and then test their understanding with practice problems that mirror what Tennessee teachers assign.
For families supporting a student through a rigorous calculus course, having a resource that covers every strand - from continuity and limits all the way through definite integrals and their applications - means there is always a clear next step, whether the goal is catching up, keeping pace, or getting ahead.
Aligned to Tennessee High School Calculus Curriculum
Every lesson and practice problem on StudyPug is built around the Tennessee Academic Standards for high school calculus, so the topics, the sequencing, and the problem types students see on StudyPug match what their Tennessee teacher is covering in class. Families can trust that working through a strand on StudyPug directly supports what is being assessed in school.
Written by the StudyPug Math Team
Last updated June 5, 2026
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