ND High School Calculus Curriculum
Help your student work through every calculus topic North Dakota high schools teach - from limits and derivatives to integration techniques and real-world applications.
About High School North Dakota Calculus
North Dakota follows the ND Content Standards, which organize high school calculus around limits, differential calculus, and integral calculus. Students in this course move from evaluating limits graphically and numerically to mastering differentiation rules, curve analysis, optimization, and integration techniques including the Fundamental Theorem of Calculus and substitution. StudyPug provides video lessons and practice problems that follow this sequence step by step.
- Strands covered: limits and continuity, derivatives and differentiation rules, applications of derivatives, and integrals and integration techniques
- Video lessons for every calculus topic, from tangent lines to Riemann sums
- Practice problems with step-by-step solutions for limits, derivatives, and integrals
- Aligned to the ND Content Standards for high school mathematics
Curriculum topics by strand
Browse lessons and practice problems for every strand, aligned to the ND Content Standards for high school calculus.
ND 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.
- Derivatives and differentiation rules: the derivative as rate of change and slope of a tangent line, power rule, product rule, quotient rule, chain rule, and derivatives of trigonometric, exponential, and logarithmic functions, including implicit differentiation.
- Applications of derivatives: equations of tangent lines and linear approximation, critical points, local maxima and minima, optimization problems, curve sketching using increasing/decreasing behavior and concavity, related rates, and applications to velocity and acceleration.
- Integrals and integration techniques: antiderivatives of basic functions with initial conditions, left, right, and midpoint Riemann sums, the Fundamental Theorem of Calculus, 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 ND High School Calculus Students
When a student gets stuck on a problem - whether it is applying the chain rule, setting up a related rates equation, or evaluating a definite integral - StudyPug provides a worked video lesson on that exact concept. Each lesson breaks the problem down one step at a time so the student can follow the reasoning, not just copy a final answer.
After watching, students move into practice problems that mirror what North Dakota high school calculus courses assign. Instant feedback shows where a mistake happened, and step-by-step solutions explain how to correct it, building the kind of problem-solving habit that carries through exams and future math courses.
Aligned to ND High School Calculus Curriculum
Every lesson and practice problem on StudyPug is built around the ND Content Standards for high school mathematics. The calculus sequence follows the same progression North Dakota classrooms use - from limits and continuity through differentiation and into integral calculus - so students are always working on content that matches what their teacher has assigned, not a generic national syllabus.
Written by the StudyPug Math Team
Last updated June 5, 2026
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