Williston School District 29 (AP) Calculus- AB Pacing Guide Focus Questions Overview Focus Chapter 1 Indicators Foundations of Geometry 90 Total Days Day 1 2 3 4 5 1-1, Finding Limits Graphically, Using Technology, Tables of Numerically, and Analytically. Values, and Rationalizing Epsilon – Delta Proof using Define a limit with Rigour definition of a limit. Strategies for finding Limits using Two Special trigonometric Squeeze Theorem. Limits Discussing Continuity and One Removable Discontinuities, sided limits. and open and closed intervals Testing for Continuity Intermediate Value Theorem Determine Infinite Limits from left Infinity and Negative Infinity and right What are Vertical Asymptotes? Look at Different Properties Applications and AP Questions Determine continuity and Limits from right and left Find the slope of the tangent line Difference Quotient to a curve at a point What is a derivative? Prove the Derivative at a Point. How are Derivatives and Differentiability implies Continuity related? Continuity Find the Derivative using Rules Power Rule, Sum and Difference, and Sine and Cosine Finding Velocity of a Free Falling Average and Instantaneous object. Velocity Finding higher order Derivatives Product and Quotient Rules Finding Acceleration due to 2nd Derivative Gravity
Williston School District 29 (AP) Calculus- AB Pacing Guide Chapter 1 Foundations of Geometry Focus Questions Overview Focus Indicators 90 Total Days Day 1 2 3 4 5 1-1, Finding Limits Graphically, Numerically, and Analytically. Using Technology, Tables of Values, and Rationalizing Epsilon – Delta Proof using definition of a limit. Define a limit with Rigour Strategies for finding Limits using Squeeze Theorem. Two Special trigonometric Limits Discussing Continuity and One sided limits. Removable Discontinuities, and open and closed intervals Testing for Continuity Intermediate Value Theorem Determine Infinite Limits from left and right Infinity and Negative Infinity What are Vertical Asymptotes? Look at Different Properties Applications and AP Questions Determine continuity and Limits from right and left Find the slope of the tangent line to a curve at a point Difference Quotient What is a derivative? Prove the Derivative at a Point. How are Derivatives and Continuity related? Differentiability implies Continuity Find the Derivative using Rules Power Rule, Sum and Difference, and Sine and Cosine Finding Velocity of a Free Falling object. Average and Instantaneous Velocity Finding higher order Derivatives Product and Quotient Rules Finding Acceleration due to Gravity 2nd Derivative
Williston%20School%20District%2029%20AP%20Calculus%20Pacing%20Guide.docx