Mississippi: Calculus Math Standards
29 standards · 4 domains
ALGEBRA
- C.A.4 Predict and explain the characteristics and behavior of functions and their graphs (domain, range, increasing/decreasing intervals, intercepts, symmetry, and end behavior).
- C.A.5 Investigate, describe, and determine asymptotic behavior using tables, graphs, and analytical methods
- C.A.6 Determine and justify the continuity and discontinuity of functions
- C.A.7 Solve mathematical situations and application problems involving or using derivatives, including exponential, logarithmic, and trigonometric functions.
- C.A.8 Calculate limits using algebraic methods.
- C.A.9 Verify the behavior and direction of non-determinable limits.
- C.A.10 State and apply the formal definition of a derivative.
- C.A.11 Apply differentiation rules to sums, products, quotients, and powers of functions.
- C.A.12 Use the chain rule and implicit differentiation.
- C.A.13 Describe the relationship between differentiability and continuity.
- C.A.15 Define a derivative and explain the purpose/utility of the derivative.
- C.A.16 Apply the derivative as a rate of change in varied contexts, including velocity, speed, and acceleration.
- C.A.17 Apply the derivative to find tangent lines and normal lines to given curves at given points.
- C.A.18 Predict and explain the relationships between functions and their derivatives.
- C.A.19 Model rates of change to solve related rate problems.
- C.A.20 Solve optimization problems.
- C.A.21 State and apply the First and Second Fundamental Theorem of Calculus.
- C.A.22 Apply the power rule and u-substitution to evaluate indefinite integrals.
GEOMETRY
- C.G.23 Demonstrate and explain the differences between average and instantaneous rates of change.
- C.G.24 Apply differentiation techniques to curve sketching
- C.G.25 Apply Rolle’s Theorem and the Mean Value Theorem and their geometric consequences.
- C.G.26 Identify and apply local linear approximations.
- C.G.27 Analyze curves with attention to non-decreasing functions (monotonicity) and concavity.