Precalculus
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Skill List
TERM 1:
Unit 1 - Intro Skills
No Current Videos that tie directly to the notes, but the following vidoes are closely related
Interval Notation: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:introduction-to-the-domain-and-range-of-a-function/v/introduction-to-interval-notation
Increasing/Decreasing Intervals: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:intervals-where-a-function-is-positive-negative-increasing-or-decreasing/v/increasing-decreasing-positive-and-negative-intervals
Analyzing Concavity Graphically: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-analytical-applications-new/ab-5-6a/v/recognizing-concavity-exercise
Points of Inflection Graphically: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-analytical-applications-new/ab-5-6a/v/inflection-points-graphically-given-function
Average rate of Change: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:average-rate-of-change/v/introduction-to-average-rate-of-change
Unit 2 - Limits & Continuity (Unit 1 of Calculus Content)
1.1 Can Change Occur at an Instant?
1.2 Defining Limits and Using Limit Notation
1.3 Estimating Limit Values from Graphs
1.4 Estimating Limit Values from Tables
1.5 Determining Limits Using Algebraic Properties
1.6 Determining Limits Using Algebraic Manipulation
1.7 Selecting Procedures for Determining Limits
1.8 Determining Limits Using the Squeeze Theorem
1.9 Connecting Multiple Representations of Limits
1.10 Exploring Types of Discontinuities
1.11 Defining Continuity at a Point
1.12 Confirming Continuity Over an Interval
1.14 Infinite Limits and Vertical Asymptotes
1.15 Limits at Infinity and Horizontal Asymptotes
1.16 Intermediate Value Theorem (IVT)
OLD Unit 2 - Functions and Limits
Notes Section Optional, Questions on Unit Test may be Extra credit
OLD Unit 3 - Function Analysis
Unit 4 - Function Algebra
TERM 2:
Unit 5 - Polynomials
Unit 6 - Rational Functions
Unit 7 - Exponential & Logarithmic Functions
Unit 8 - Intro to Trigonometry
TERM 3:
Unit 7 - Exponential & Logarithmic Functions
Unit 8 - Intro to Trigonometry
Unit 9 - Unit Circle
Unit 10 - Graphing Trig Functions
Unit 11 - Trig Identities
Calculus Unit 1 - Limits and Continuity
1.5 Determining Limits Using Algebraic Properties (1.5 includes piecewise functions involving limits)
1.7 Selecting Procedures for Determining Limits (1.7 includes rationalization, complex fractions, and absolute value)