MO High School Calculus Curriculum
Give your teen the support they need to succeed in Missouri high school calculus, with lessons and practice covering every topic their class works through, from limits to integrals.
About High School Missouri Calculus
Missouri high school calculus follows the Missouri Learning Standards, covering the core ideas students need from limits and continuity through derivatives and integrals. This course works through limits graphically and numerically, continuity, derivatives using the power, product, quotient, and chain rules, optimization, curve sketching, antiderivatives, Riemann sums, the Fundamental Theorem of Calculus, substitution, and applications including area, displacement, and average value. StudyPug provides video lessons and practice problems aligned to every strand.
- Strands: Limits and Continuity, Derivatives and Their Applications, Integrals and Their Applications
- Video lessons for every topic, from tangent lines to Riemann sums
- Practice problems and step-by-step worked examples matched to Missouri Learning Standards
- Available on any device so students can study at home or on the go
Curriculum topics by strand
Browse lessons and practice problems organized by strand and aligned to Missouri Learning Standards for high school calculus.
MO 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.
- Derivatives - Rules and Techniques: Understand the derivative as rate of change and slope of a tangent line; find derivatives using the power, product, quotient, and chain rules; differentiate trigonometric, exponential, and logarithmic functions; and work with 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 and concavity, sketch curves, solve related rates problems, and apply derivatives to velocity and acceleration.
- Antiderivatives and the Integral: Find antiderivatives of basic functions, apply initial conditions, approximate definite integrals using left, right, and midpoint Riemann sums, and use the Fundamental Theorem of Calculus to evaluate definite integrals.
- Applications of Integrals: Use substitution to evaluate integrals, find area under and between curves, determine displacement and distance from velocity functions, and calculate average value of functions over intervals.
How StudyPug Helps Missouri High School Calculus Students
When a student gets stuck on a related rates problem or cannot follow their teacher's explanation of the chain rule, StudyPug lets them rewatch a focused video lesson at their own pace, then try practice problems with step-by-step solutions until the concept clicks. Every lesson is organized by the same strands their Missouri class follows, so there is no searching for the right topic.
Students preparing for AP Calculus exams also benefit from the worked examples and practice sets, which build the problem-solving fluency needed for timed, high-stakes questions based on real exam formats.
Aligned to Missouri High School Calculus Curriculum
All StudyPug calculus content is organized to match the Missouri Learning Standards, covering limits, derivatives, and integrals in the sequence Missouri high school courses follow, so every lesson your child watches connects directly to what their teacher is covering in class.
Written by the StudyPug Math Team
Last updated June 5, 2026
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