12. Analytically locate intervals on which a Analyze the graphs of polynomials, function is concave up or concave down. rational, radical, piecewise, and transcendental functions using appropriate technology. Discuss which functions behave with respect to “nicely” algebraic properties and which do not. Justify your discussions. Describe asymptotic behavior (analytically and graphically) in of infinite limits and limits at infinity. Given a complete set of algebraic information and calculus information, construct a sketch of a function that matches the given data. Display several functions that satisfy one set of data. Describe their differences and similarities. Give a sketch of a of a function and completely describe the function in mathematical terms so that the sketch could be replicated from the description and would be close to the original graph 3.7: Optimization Problems Domain: Computing and Applying Derivatives Objectives: Writing in Math/Discussion Cluster: Apply derivatives to solve problems Students will: A shampoo bottle is a right circular cylinder. Additional Resource(s) Because the surface area of the bottle does Use optimization to find extreme values Larson Calculus Videos Section 3.7 – not change when it is squeezed, is it true that (relative and absolute). the volume remains the same? Explain. 16. Solve optimization problems to find a s desired maximum or minimum value. 3.9: Differentials Domain: Computing and Applying Derivatives Objectives: Writing in Math/Discussion Cluster: Apply derivatives to solve problems Students will: Describe the change in accuracy of dy as an Additional Resource(s) approximation for when is decreased. Δy Δx Understand the concept of a tangent line Larson Calculus Videos Section 3.9 – approximation. 18. Use tangent lines to approximate function
12. Analytically locate intervals on which a function is concave up or concave down. Analyze the graphs of polynomials, rational, radical, piecewise, and transcendental functions using appropriate technology. Discuss which functions behave “nicely” with respect to algebraic properties and which do not. Justify your discussions. Describe asymptotic behavior (analytically and graphically) in of infinite limits and limits at infinity. Given a complete set of algebraic information and calculus information, construct a sketch of a function that matches the given data. Display several functions that satisfy one set of data. Describe their differences and similarities. Give a sketch of a of a function and completely describe the function in mathematical terms so that the sketch could be replicated from the description and would be close to the original graph Domain: Computing and Applying Derivatives Cluster: Apply derivatives to solve problems 16. Solve optimization problems to find a desired maximum or minimum value. Objectives: Students will: Use optimization to find extreme values (relative and absolute). 3.7: Optimization Problems Additional Resource(s) Larson Calculus Videos – Section 3.7 s Writing in Math/Discussion A shampoo bottle is a right circular cylinder. Because the surface area of the bottle does not change when it is squeezed, is it true that the volume remains the same? Explain. Domain: Computing and Applying Derivatives Cluster: Apply derivatives to solve problems 18. Use tangent lines to approximate function Objectives: Students will: Understand the concept of a tangent line approximation. 3.9: Differentials Additional Resource(s) Larson Calculus Videos – Section 3.9 Writing in Math/Discussion Describe the change in accuracy of dy as an approximation for Δy when Δx is decreased.
Calculus%20Q3%20%2016-17%20Rev%2011-28-16%20(1).docx