NJ High School Calculus Curriculum
Give your child the calculus support they need to keep up with New Jersey high school expectations, from understanding limits and derivatives to mastering integration techniques.
About High School New Jersey Calculus
New Jersey high school math follows the NJ Student Learning Standards. This Calculus course covers limits and continuity, differentiation rules including the power, product, quotient, and chain rules, applications of derivatives such as optimization and related rates, and integration through Riemann sums, the Fundamental Theorem of Calculus, substitution, and area between curves. StudyPug provides video lessons and practice problems aligned to each strand of the New Jersey curriculum.
- Strands: limits and continuity, differentiation, derivative applications, and integration
- Video lessons for every calculus topic, from basic limits to integral applications
- Practice problems and step-by-step explanations for each concept
- Aligned to NJ Student Learning Standards for high school math
Curriculum topics by strand
Browse lessons and practice problems organized by strand and aligned to the NJ Student Learning Standards for high school Calculus.
NJ High School Calculus Topics
- Limits and continuity: Evaluate limits graphically and numerically using substitution, determine continuity at a point, identify types of discontinuities, and analyze limits at infinity to describe end behavior.
- Differentiation rules: Find derivatives using the power rule, product rule, quotient rule, and chain rule, and extend these to trigonometric, exponential, and logarithmic functions as well as implicitly defined functions.
- Applications of derivatives: Write equations of tangent lines, use linear approximation, find critical points, solve optimization problems, analyze increasing and decreasing behavior, determine concavity, sketch curves, and solve related rates and motion problems involving velocity and acceleration.
- Integration: Find antiderivatives of basic functions, approximate definite integrals using left, right, and midpoint Riemann sums, apply the Fundamental Theorem of Calculus, and evaluate integrals using substitution.
- Applications of integration: Calculate area under curves and between curves, find displacement and distance from velocity functions, and determine the average value of a function over an interval.
How StudyPug Helps NJ High School Calculus Students
When a student gets stuck on a concept like implicit differentiation or related rates, StudyPug lets them go back to a focused video lesson that walks through the idea step by step, then try practice problems with worked examples to build confidence before the next class or test.
Students following the NJ Student Learning Standards for high school Calculus can move through topics at their own pace, revisiting derivatives one evening and moving on to integration applications the next, without waiting for a scheduled class.
Aligned to NJ High School Calculus Curriculum
Every lesson and practice problem on StudyPug is organized around the strands of the NJ Student Learning Standards, so the content your child works through online matches exactly what their New Jersey high school teacher is covering in class.
Written by the StudyPug Math Team
Last updated June 5, 2026
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