HI High School Calculus Curriculum
Give your student the support they need to succeed in Hawaii high school calculus. Every topic from limits to integration is covered with clear lessons and practice problems matched to what their class teaches.
About High School Hawaii Calculus
Hawaii high school math follows the Hawaii Content Standards, and Calculus builds on those foundations with a structured progression through limits, derivatives, and integrals. Students work through evaluating limits and continuity, mastering differentiation rules including power, product, quotient, chain, and implicit differentiation, and then applying derivatives to optimization, curve sketching, and related rates. The second half of the course covers antiderivatives, Riemann sums, the Fundamental Theorem of Calculus, and integration techniques used to find area and solve motion problems. StudyPug provides video lessons and practice problems covering every strand.
- Strands: Limits and Continuity, Differentiation, Applications of Derivatives, Integration and its Applications
- Video lessons for every calculus topic aligned to Hawaii Content Standards
- Practice problems with step-by-step solutions for each strand
- Flexible access so students can review any lesson at their own pace
Curriculum topics by strand
Find lessons and practice for every Hawaii high school calculus topic, organized by strand and aligned to Hawaii Content Standards.
Hawaii 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; apply 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 and use linear approximation, identify critical points and local extrema, 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 using initial conditions, approximate definite integrals with Riemann sums, apply the Fundamental Theorem of Calculus, evaluate integrals using substitution, and find area under and between curves.
- Applications of Integration: Use integrals to find displacement and distance from velocity functions and calculate the average value of a function over an interval.
How StudyPug Helps Hawaii High School Calculus Students
When a student gets stuck on a derivative rule or a tricky integration problem, StudyPug lets them go back to the exact lesson that covers it. Each topic is broken into focused video lessons followed by practice problems with step-by-step solutions, so students can work through the concept at their own pace rather than waiting until the next class.
Parents in Hawaii can feel confident that the content their student is practicing lines up with what Hawaii high school calculus courses actually teach, from limit evaluation in the first unit through definite integrals and motion applications at the end of the course.
Aligned to Hawaii High School Calculus Curriculum
StudyPug's calculus content is organized to follow the progression of topics covered under Hawaii Content Standards, ensuring that every strand - limits, differentiation, applications of derivatives, and integration - is addressed in the order and depth that Hawaii high school students need.
Written by the StudyPug Math Team
Last updated June 5, 2026
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