E amplitude period know the exact values of critical

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ree basic trig functions by hand Identify and apply frequently used identities, including reciprocal functions and Pythagorean relationships. Utilize all associated terminology; i.e. amplitude, period Know the exact values of critical points of each graph Identify the significance of each coefficient of the following general function: D + A f(Bx + C) Describe the transformations as a vertical or horizontal stretch or shift Sketch various transformations of common functions NJ CCCS 4.1 4.2 4.3 4.5 4.1 4.2 4.3 4.5 4.1 4.2 4.3 Strands & Indicators A,B,C A1,A3,C,D A,B1,B2,B4, C,D B,C,D,E,F A,B,C A1,A3,C,D A,B1,B2,B4, C,D B,C,D,E,F Suggested Timeframe (in blocks) 1 2 2 4.5 A,B,C A1,A3,C,D A,B1,B2,B4, C,D B,C,D,E,F 4.1 4.2 4.3 4.5 A,B,C) A1,A3,C,D A,B,C,D B,C,D,E,F 1 UNIT 2 – Limits Course Objective(s) Define “limit” graphically, analytically, and intuitively Student Objectives • • • • Evaluate limits algebraically • • • • Explain the concept of a limit in nonmathematical terms as well as by the formal definition: intended height of a function, a value that can be reached or is approached, etc. Recall domain and range Recognize when a limit exists or does not exist when illustrated on a coordinate plane Identify left-hand versus right-hand limits Apply properties of limits including rules for constants, rational functions, products and compositions Evaluate a limit by substitution Apply further methods of evaluation, such as factoring, when substitution results in “0/0” Identify “special” limits and functions with specific properties or ones that result in an “exception to the rule” NJ CCCS Strands & Indicators 4.1 4.3 4.5 A,B,C A,B,C,D A,B,C,D,E,F 4.1 4.3 4.5 A,B,C A,B,C,D A,B,C,D,E,F Suggested Timeframe (in blocks) 2 2 Course Objective(s) Discuss characteristics of continuous functions Student Objectives • • Interpret limits in terms of discontinuities • • • Apply methods of evaluating limits to remove a discontinuity • Demonstrate the Intermediate Value Theorem • *Optional (Calculus BC topic) Introduce the concept of the derivative and apply L’Hopital’s Rule to evaluating limits • • Identify all types of discontinuities: asymptotes, holes, jumps, breaks, etc. Examine functions with discontinuities both algebraically and graphically Examine limits that produce horizontal and vertical asymptotes Recognize when a hole is present in a function both graphically and algebraically Analyze the discussion over limits that “do not exist” versus “approach infinity” Recognize “holes” as a removable discontinuity Apply algebraic manipulation to create an “extended function” to create a piecewise function Describe the Intermediate Value Theorem and mathematical and nonmathematical terms Use the algebraic form of the derivative to simplify rational functions before evaluating the limit NJ CCCS Strands & Indicators Suggested Timeframe (in blocks) 1 4.1 4.3 4.5 A,B,C A,B,C,D A,B,C,D,E,F 4.1 4.3 4.5 A,B,C A,B,C,D A,B,C,D,E,F 2 4.1 4.3 4.5 A,B,C A,B,C,D A,B,C,D,E,F 1 4.1 4.3 4.5 4.1 4.3 4.5 A,B,C A,B,C,D A,B,C,D,E,F A,B,C A,B,C,D A,B,C,D,E,F ½ 1 UNIT 3 – Derivatives Course Objective(s) Define “derivative” intuitively and analytically while presenting all associated terminology and notation Student Objectives • • • • • Illustrate the definition of “derivative” graphically • • • Explain the concept of a derivative as the slope of the line tange...
View Full Document

This note was uploaded on 03/12/2010 for the course CALCULUS 1561234586 taught by Professor Zalla during the Spring '10 term at Air Force Institute of Technology, Ohio.

Ask a homework question - tutors are online