RI High School Calculus Curriculum
Give your teen the support they need to succeed in calculus. StudyPug covers every topic taught in Rhode Island high school calculus classes, from limits and derivatives to integrals and their applications.
About High School Rhode Island Calculus
Rhode Island follows the Rhode Island Standards for high school mathematics, which guide calculus instruction through topics organized around limits, derivatives, and integrals. This course covers limits and continuity, differentiation rules, applications of derivatives including optimization and related rates, and integral calculus including the Fundamental Theorem of Calculus, Riemann sums, and area between curves. StudyPug provides video lessons and practice problems aligned to every strand of this course.
- Strands: Limits and Continuity, Differentiation, Applications of Derivatives, Integration and Its Applications
- Video lessons and step-by-step explanations for every topic
- Practice problems with worked examples for each strand
- Content aligned to Rhode Island high school math standards
Curriculum topics by strand
Lessons and practice for every strand, aligned to the Rhode Island Standards for high school calculus.
Rhode Island 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: Understand the derivative as rate of change and slope of the tangent line, and apply the power rule, product rule, quotient rule, and chain rule to find derivatives.
- Derivatives of Special Functions: Find derivatives of trigonometric, exponential, and logarithmic functions, and differentiate implicitly defined functions.
- Applications of Derivatives: Find equations of tangent lines, use linear approximation, locate critical points, solve optimization problems, analyze increasing and decreasing behavior, sketch curves, and solve related rates and motion problems.
- Integration: Find antiderivatives of basic functions, approximate definite integrals using Riemann sums, and apply the Fundamental Theorem of Calculus to evaluate integrals and find antiderivatives.
- Applications of Integration: Use substitution to evaluate integrals, find area under and between curves, calculate displacement and distance from velocity functions, and determine the average value of a function over an interval.
How StudyPug Helps Rhode Island High School Calculus Students
When a student gets stuck on a concept like implicit differentiation or the Fundamental Theorem of Calculus, StudyPug lets them rewatch the relevant video lesson as many times as needed and then work through practice problems with step-by-step solutions. This means they are never left staring at a blank page.
StudyPug is available any time - late at night before an exam or over the weekend before a Monday test. Students can move at their own pace, revisit earlier topics like limits if gaps appear, and build the confidence they need to handle every strand of their Rhode Island calculus course.
Aligned to Rhode Island High School Calculus Curriculum
Every lesson and practice problem on StudyPug is built around the topics and skills that Rhode Island high school calculus teachers cover, following the Rhode Island Standards for mathematics. Whether the class is working on optimization, Riemann sums, or related rates, the content your child finds on StudyPug matches what is being taught in class.
Written by the StudyPug Math Team
Last updated June 5, 2026
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