Limits, Continuity, and Derivatives
Packet
Unit 14 Limits, Continuity and Derivatives.pdf Evaluating Limits Using Tables, Graphs, and Algebra
Mastery Objectives
Students will be able to evaluate limits using tables, graphs, and algebra
Notes
Evaluating Limits Notes.pdfBook Problems
10.3: #9,10,17,18,19,26,27,31,37,67,93
Continuity and Special Limits
Mastery Objectives
Students will be able to solve problems using the limit definitions of continuity, jump discontinuities, removable discontinuities, and infinite discontinuities.
Notes
Continuity and Special Limits Notes.pdf Limit Definition of the Derivative
Mastery Objectives
Students will be able to compute the derivative of polynomial, root, and rational functions using both limit definitions
Notes
Limit Definition of the Derivative Notes.pdfBook Problems
10.1: # 21,22,25,43
Videos
Part 1
Average/Instantaneous Rates of Change
Estimating Slopes of Tangent Line (optional)
AROC and the Derivative at a Point
The Derivative at a Point Example
Part 2
Writing Equation of Tangent Line
The Derivative as a Function Example
Comparing a Function's Graph with its Derivative
Intermediate Value Theorem and Applications of Derivatives
Mastery Objectives
Students will be able to use the Intermediate Value Theorem to prove continuous functions assume specific values on given intervals
Students will be able to solve realistic problems using derivatives
Notes
Intermediate Value Theorem .pdfPosition, Velocity, and Acceleration
Mastery Objectives
Students will be able to solve basic kinematic problems using position, velocity, and acceleration functions.
Notes
Position, Velocity, Acceleration Notes.pdfReview
Review Practice
Limits, Continuity, and Derivatives Review.pdfReview Opener 2.docxReview Opener.docxAnswer Key
Limits, Continuity, and Derivatives Review KEY.pdfKEY Review Opener 2.pdfKEY Review Opener.pdf