Unit 1: Limits & Continuity
Lesson 1: Finding Limits Graphically and from Tables
Course Note: Limits Graphically and from Tables
Khan Academy Lesson: Introduction to Limits, Using Tables to Approximate Limits
Homework: Understanding Limits #7-9, Larson Edwards p. 55 #1-6, 17-26
Videos: Introduction to Limits, Determining Limits Graphically, Limits from a Graph, Approximating Limits from Tables, Estimating Limits from Tables, One-Sided Limits from Tables, Limits of Piecewise Graphs
Khan Academy Practice: Estimating Limits from Graphs, One-Sided Limits from Graphs, Connecting Limits and Graphical Behaviour, Creating Tables for Approximating Limits, Estimating Limits from Tables, One-Sided Limits from Tables
Lesson 2: Finding Limits Analytically
Course Note: Finding Limits Analytically
Khan Academy Lesson: Limits Flow Chart
Homework: Larson Edwards p. 67 #5-21 (odd), 27-35 (odd), 41-45 (odd), 47-57 (odd), Piecewise Questions
Videos: Limits by Direct Substitution, Undefined Limits by Direct Substitution, Limits of Piecewise Functions, Limits of Absolute Value Functions, Determining Limits Algebraically, Strategies for Finding Limits, Indeterminate Limits (Factoring), Indeterminate Limits (Conjugate), Indeterminate Limits (Conjugate 2),
Khan Academy Practice: Limits by Direct Substitution, Direct Substitution with Undefined Limits, Limits of Piecewise Functions, Finding Indeterminate Limits, Strategy in Finding Limits
Lesson 3: Properties of Limits
Course Note: Properties of Limits
Homework: Properties of Limits
Videos: Properties of Limits, Limits of Combined Functions, Limits of Piecewise Functions, Limits of Composite Functions
Khan Academy Practice: Limits of Sum and Difference Functions, Limits of Product and Quotient Functions, Limits of Composite Functions
Lesson 4: Infinite Limits and Limits at Infinity
Course Note: Limits at Infinity
Homework: Rogawski, Adams p. 98 #8, 10, 12, 14, 16, 18, 20, 22, 23,24, 25, 27, 28
Videos: Intro to Infinite Limits, Infinite Limits and Asymptotes, Limits at Infinity - Rationals, Limits at Infinity - Mixed Unbounded, Limits at Infinity
Khan Academy Practice: Limits at Infinity - Graphically, Limits at Infinity - Algebraic
Lesson 5: Limits of Transcendental Functions
Day One:
Course Note: Limits of Transcendental Functions
Homework: Limits of Transcendental Functions
Videos: Limits of Trigonometric Functions, Limits of Trig Functions, Limits of Trig Functions with Identities, Limits of Trig Functions with Identities II
Khan Academy Practice: Limits of Trigonometric Functions, Limits Using Trig Identities
Lesson 5: Limits and Continuity
Course Note: Limits and Continuity
Homework: Limits and Continuity (#11 on)
Videos: Types of Discontinuities, Continuity at a Point, Worked Example - Continuity at a Point, Definition of Continuity
AP Practice Problems:
Khan Academy Practice: Classifying Discontinuities, Continuity at a Point (Graphical), Continuity at a Point (Algebraic)
Lesson 6: Intermediate Value Theorem
Course Note: The Intermediate Value Theorem
Khan Academy Lesson: Intermediate Value Theorem Review
Homework: Intermediate Value Theorem, Homework Key
Videos: The Intermediate Value Theorem, Example 1 - IVF, Justification using IVF - Tables, Justification using IVF - Equations
AP Practice Problems:
Khan Academy Practice: Using the Intermediate Value Theorem, Justification using IVF