NevadaNevada High School Calculus Curriculum
Video lessons and practice for every high school Calculus topic. Aligned to Nevada Academic Content Standards Math. Get help with limits, derivatives, and integrals anytime.
Nevada High School Calculus Curriculum | StudyPugHelp
ID | Standard | StudyPug Topic |
|---|---|---|
Concept of Limits | Understand limits graphically and numerically; evaluate basic limits using substitution |
Continuity | Determine continuity at a point and identify types of discontinuities |
Limits at Infinity | Find limits at infinity and describe end behavior of functions |
Derivative Concept | Understand derivative as rate of change and slope of tangent line |
Derivative Rules | Find derivatives using power rule; product rule; quotient rule; and chain rule |
Derivatives of Special Functions | Find derivatives of trigonometric; exponential; and logarithmic functions |
Implicit Differentiation | Find derivatives of implicitly defined functions |
Tangent Lines | Find equations of tangent lines and use for linear approximation |
Critical Points and Extrema | Find critical points; local maxima and minima; and solve optimization problems |
Curve Analysis | Analyze increasing/decreasing behavior and concavity; sketch curves using derivatives |
Related Rates | Solve related rates problems in real-world contexts |
Motion and Rates | Apply derivatives to velocity; acceleration; and other rate problems |
Antiderivatives | Find antiderivatives of basic functions and use initial conditions |
Riemann Sums | Approximate definite integrals using left; right; and midpoint Riemann sums |
Fundamental Theorem of Calculus | Use FTC to evaluate definite integrals and find antiderivatives |
Basic Integration Techniques | Use substitution method to evaluate integrals |
Area Under Curves | Find area under curves and between curves using definite integrals |
Average Value | Calculate average value of functions over intervals using integrals |
Nevada High School Calculus: What Students Learn
High school Calculus in Nevada introduces students to the two foundational ideas of the subject: derivatives and integrals. Students start by understanding limits — graphically, numerically, and algebraically — before moving into continuity, end behavior, and rates of change. These concepts align to Nevada Academic Content Standards Math and prepare students for college-level mathematics.
Derivatives: Rules and Applications
Students learn to find derivatives using the power rule, product rule, quotient rule, and chain rule. Calculus also covers derivatives of trigonometric, exponential, and logarithmic functions, as well as implicit differentiation. Practical applications include finding tangent lines, solving optimization problems, analyzing increasing and decreasing behavior, and working through related rates problems in real-world contexts.
Integrals: Techniques and Applications
The second half of Calculus focuses on integration. Students learn to:
- Find antiderivatives of basic functions using initial conditions
- Approximate definite integrals with Riemann sums (left, right, and midpoint)
- Apply the Fundamental Theorem of Calculus to evaluate definite integrals
- Use substitution to evaluate more complex integrals
- Calculate area under curves and between curves
- Find displacement and distance from velocity functions
- Determine the average value of a function over an interval
How StudyPug Supports Nevada Calculus Students
StudyPug offers video lessons and practice problems for every topic in Nevada high school Calculus. Whether a student is stuck on limits, struggling with the chain rule, or preparing for an AP Calculus exam, StudyPug provides step-by-step explanations they can watch anytime. Every lesson is broken into short segments so students can learn at their own pace and revisit tricky concepts as many times as needed.