ME High School Calculus Curriculum
Give your teen the support they need to succeed in calculus. StudyPug covers every topic Maine high school students encounter, from limits through integration, matching what their class actually teaches.
About High School Maine Calculus
Maine high school calculus follows the Maine Learning Results, which set the standards for what students learn in advanced math courses. This course moves through limits, continuity, derivatives and their applications, and integration, covering strands such as limits and continuity, differentiation rules, applications of derivatives, antiderivatives, Riemann sums, the Fundamental Theorem of Calculus, and area and motion applications. StudyPug provides video lessons and practice problems aligned to every one of these strands so students can keep up and move ahead.
- Strands: limits and continuity, differentiation, applications of derivatives, and integration
- Video lessons for every calculus topic, taught step by step
- Practice problems and worked examples aligned to Maine Learning Results
- Full coverage from basic limits through definite integrals and area between curves
Curriculum topics by strand
Browse lessons and practice problems organized by strand, aligned to the Maine Learning Results for high school calculus.
Maine 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.
- Differentiation: interpret the derivative as a rate of change and slope of a tangent line; apply the power, product, quotient, and chain rules; differentiate trigonometric, exponential, and logarithmic functions; and find derivatives of implicitly defined functions.
- Applications of derivatives: find equations of tangent lines, 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.
- Integration: find antiderivatives of basic functions, approximate definite integrals with left, right, and midpoint Riemann sums, use the Fundamental Theorem of Calculus, apply the substitution method, find area under and between curves, use integrals for displacement and distance, and calculate the average value of a function over an interval.
How StudyPug Helps Maine High School Calculus Students
When a student gets stuck on a concept like implicit differentiation or Riemann sums, StudyPug lets them go back to exactly the lesson they need rather than waiting for the next class. Each topic is covered with a focused video lesson followed by practice problems and worked examples, so the student can check their understanding right away.
Parents can see which strands their teen is working through, and students can move at their own pace whether they are catching up after a missed class or working ahead before an AP exam.
Aligned to Maine High School Calculus Curriculum
Every lesson and practice problem on StudyPug is built around the Maine Learning Results for high school math, so the content your teen works through on StudyPug matches the sequence and expectations of their Maine calculus class.
Written by the StudyPug Math Team
Last updated June 5, 2026
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