Math 4C Fall 2008 Final Exam Study Guide Format 12 questions, some multi-part. Questions will be similar to sample problems in this study guide,
|
|
- Vernon Carroll
- 5 years ago
- Views:
Transcription
1 Math 4C Fall 2008 Final Exam Study Guide Format 12 questions, some multi-part. Questions will be similar to sample problems in this study guide, homework problems, lecture examples or examples from the text. The final exam is comprehensive. Protocol Wednesday, December 10, 3-6 pm in YORK 2622 (tentative). No notes nor calculators allowed. Bring photo ID. No credit for unsupported work. No makeup test; however lowest midterm percentage will be automatically replaced by the final exam percentage if it is higher. Do work on final exam (blue book not required) or attach scratch paper. Study Guide Review homework, lecture notes, and notes from reading the textbook. Work, review sample problems below. Study with one or two other students. Seek help at office hours; ask specific questions. Topics, Sample Problems Supp Expressions and functions , 69, 71, 81; 1.R.3, 5, 9 distinguish between expressions and functions define polynomial evaluate polynomials perform operations on polynomials, e.g., multiplication factor polynomials over the integers, the rationals, the reals, the complex numbers Supp Rational expressions, solving equations evaluate and simplify rational expressions add, subtract, multiply, and divide rational expressions determine if a value is a solution to an equation solve equations by inverse operations 12.7, Partial fractions 12.R.89; 12.T determine form of partial fraction decomposition (non-repeated linear factors, repeated linear factors, non-repeated quadratic factors, repeated quadratic factors) solve partial fraction decompositions by equating coefficients or choosing convenient values 12.2 Polynomial division 12.R.1, 5; 12.T.5, 9 divide polynomials using long and synthetic division to find quotients and remainders Roots of polynomial equations 12.R.13, 17, 19, 31, 37, 43, 47, 63, 67; 12.T.1, 2, , 4, 8, 10, 12, 14, 15, 17 use various theorems (Remainder, Factor, Linear Factors, Fundamental Theorem of Algebra, Location or Intermediate Value, relationship between coefficients and roots or Vieta's, Rational Roots, Upper and Lower Bound, Descartes Rule of Signs, Conjugate Roots, Irrational Conjugate Roots) to solve polynomial equations 5.4 Properties of logarithms 5.R.11, 14, 65 use properties of logarithms to find values of logarithms use properties of logarithms to simplify or expand logarithmic expressions 5.5 Equations involving exponents and logarithms 5.R.15, 35; 5.T.13 solve exponential and logarithmic equations 5.6 Applications 5.R.103; 5.T.6
2 solve compound interest problems 5.7 Exponential growth and decay 5.R.3, 78, 83 solve exponential growth problems solve exponential decay problems 10.1, Systems of linear equations, Gaussian elimination 10.2 recognize when a system of linear equations has one solution, no solutions, or an infinite number of solutions 3.1 Functions determine domain, range, independent and dependent variables 3.R.1, 43, 49, 53, 102, 125; 3.T.1, 2 compute values of functions using numbers, using literals 3.R.11, 69, 73, 77, 79, 105, 114, 118; 3.T.10 compute difference quotients 3.R.5, 89, 129; 3.T.5 find slope and average rate of change, use!y!x notation 3.R.8, 13 solve application problems 3.T Graphs of functions use Vertical Line Test to determine if a graph represents a function find x- and y-intercepts; positive and negative parts of graph; increasing, decreasing, and level parts of graph; turning points (local or relative extrema); global (absolute) extrema; slope, secant lines, and average rate of change; concavity and (estimate) inflection points; symmetry, odd and even functions; vertical and horizontal asymptotes; sketch graphs 3.R.10, 101, 103, 104, 107, 108, 109, 110, 111, 116, 117, 123, 124, 127, 128; 3.T Graphing transformations relate vertical and horizontal translations (shifts), reflections, and dilations of a graph to its function 3.R.6, 15, 126 recognize transformations from the function sketch graphs by applying transformations of a basic graph 3.R.9, 21, 29; 3.T.7, 8, Combining functions find sum, difference, product, and quotient of two functions 3.R.4ab, 81, 119; 3.T.3a find composition of two functions 3.R.2bc, 3, 4c, 85, 86, 87, 120, 121, 122; 3.T.3bc decompose a function 3.R Inverse functions know properties or inverse functions and their graphs (monotonicity, one-to-one, Horizontal Line Test, compositions of function and its inverse) find inverse function, if it exists, algebraically 3.R.39, 41, 91, 97, 98; 3.T.6 sketch inverse function from graph of function by reflection through y = x 3.R.7 restrict domain to find inverse function 3.R.112, 113 solve application problems 3.R.16; 3.T Linear functions find equations of lines in slope-intercept, point-slope, standard, and double-intercept forms 4.R.1, 15, 19; 4.T.1
3 graph linear functions find equations of lines with graphs that are parallel or perpendicular to a given linear graph 4.R Quadratic functions transform equations of quadratic functions among general, vertex, and factored forms (use completing the square where appropriate) find vertex and axis of symmetry, x- and y-intercepts, vertex of graph of quadratic function (parabola) 4.R.2, 6, 21, 4.T.2, 5 sketch graphs using transformations of y = x 2 sketch graphs using vertex, x- and y-intercepts find discriminant and use discriminant to find number of zeros (roots) find function from its graph solve application problems 4.R.20, 27, 31; 4.T Maximum and minimum values find maximum and minimum values by analyzing functions containing quadratic expressions 4.R.33, 35, 37; 4.T.12 Supp Power functions graphs of power functions given values, find a power function 4.6 Polynomial functions find degree of polynomial function relate linear factors, zeros, roots, and x-intercepts 4.R.5 use properties of graphs (continuity, smoothness, maximum number of turning points, end behavior, behavior near x-intercepts) as aids in graphing 4.R.53, 55; 4.T.3, 10, Rational functions graph rational functions (domain, range, intercepts, asymptotes) translations, reflections, and dilations 4.R.9, 11, 63; 4.T Exponential functions graph exponential functions (domain, range, intercepts, asymptotes) translations, reflections, and dilations 5.T Natural exponential function graph natural exponential function (domain, range, intercepts, asymptotes) translations, reflections, and dilations 5.R Logarithmic functions graph logarithmic functions (domain, range, intercepts, asymptotes) translations, reflections, and dilations 5.R Solving triangles 6.R.25, 33, 63, 67 solve right triangle applications find area of SAS triangles 9.1 Laws of Sines and Cosines 9.R.1, 5, 7, 21 use Law of Sines to solve ASA, SAA, and SSA triangles use Law of Cosines to solve SAS and SSS triangles use Heron's formula to find area of SSS triangles 6.4-5, Trigonometric functions of angles 7.R find values of trig functions of any angle defined by a point on the plane
4 find values of trig functions of any angle defined by a point on unit circle find values of trig functions of real numbers (radians) use properties of sine function (odd) and cosine function (even) to find values of trig functions 7.1, 7.2 Radian measure and geometry 7.T.7 convert between radians and degrees solve problems involving arc length and sector area solve problems involving angular speed and linear speed 7.4, 7.5 Graphs of trigonometric functions 7.R.7, 45, 51 graph sine and cosine functions (domain, range, intercepts, asymptotes, period) translations, reflections, and dilations (amplitude, phase shift, period) determine amplitude, period, phase shift, vertical shift find equation from graph of sine or cosine function 7.7 Graphs of other trigonometric functions 7.R.53a graph tangent, cotangent, cosecant, and secant functions (domain, range, intercepts, asymptotes, period) translations, reflections, dilations 12.1 Complex numbers (rectangular form) conjugates of complex numbers complex number arithmetic (adding, subtracting, multiplying, dividing, powers, roots) in rectangular form 12.R.71, 73, 75, 77, 79, 81c, 85; 12.T.16 plotting complex numbers in the complex plane 13.6 Complex numbers (trigonometric or polar form) modulus and argument of complex numbers converting between complex numbers in rectangular and trig forms 13.R.79 multiplying and dividing complex numbers in trig form 13.R.81, 83 DeMovire's theorem (finding powers and roots of complex numbers in trig form) 13.R.87, , Trig identities 6.R.39, 45; 7.R , use basic trigonometric identities to find missing values of trig functions 7.3 simplify trigonometric expressions using identities prove trigonometric identities 8.1 Addition formulas 8.R.5, 11; 8.T.1 apply sine, cosine, and tangent addition/subtraction formulas 8.2 Double-angle and half-angle formulas 8.R.19, 23, 27, 103a; 8.T.3 apply double-angle formulas apply half-angle formulas 8.4 Trigonometric equations 8.R.51, 53; 8.T.5, 7 solve trigonometric equations 8.5 Inverse trig functions 8.R.83, 89; 8.T.11, 15 evaluate expressions involving inverse trigonometric functions 13.3, Sequences, Limits of Sequences 13.R.35, 46, 52, 55; 13.T , given a general term, write the first four terms of the sequence 13.5 given the first four terms of a sequence, find a possible general term determine if a sequence converges or diverges (and find its limit if it converges) find the sum of an infinite geometric sequence that converges
5 Supp Limits of Functions determine if a function has a limit as x approaches infinity (and find the limit if it exists) determine if a function has a limit as x approaches some finite value c (and find the limit if it exists) determine one-sided limits, if they exist use limits to determine if a function is continuous at a point determine limits (if they exist) for undefined expressions (indeterminate forms) use laws of limits to determine limits of functions Supp Rates of Change and Graphical Interpretations calculating average velocity of a position function interpreting average velocity as slope of secant line of graph of a position function finding equation of secant line through two points of a graph estimating instantaneous velocity of a position function interpret instantaneous velocity as slope of tangent line of graph of a position function finding equation of tangent line at a point of a graph Supp Instantaneous Rate of Change and Derivative of a Function at a Point calculate instantaneous rate of change of a function at a point using limit definition calculating derivative of a function at a point using limit definition interpreting instantaneous rate of change of a function at a point as slope of tangent line at the point finding equation of tangent line at a point of a graph understanding when a derivative of a function may fail to exist at a point
ALGEBRA & TRIGONOMETRY FOR CALCULUS MATH 1340
ALGEBRA & TRIGONOMETRY FOR CALCULUS Course Description: MATH 1340 A combined algebra and trigonometry course for science and engineering students planning to enroll in Calculus I, MATH 1950. Topics include:
More informationAlgebra and Trigonometry
Algebra and Trigonometry 978-1-63545-098-9 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Jay Abramson, Arizona State
More informationList of PreCalculus Algebra Mathematical Concept Practice Sheets (Updated Spring 2015)
List of PreCalculus Algebra Mathematical Concept Practice Sheets (Updated Spring 2015) MAT 155P MAT 155 1 Absolute Value Equations P 7 P 3 2 Absolute Value Inequalities P 9 P 4 3 Algebraic Expressions:
More informationContents. CHAPTER P Prerequisites 1. CHAPTER 1 Functions and Graphs 69. P.1 Real Numbers 1. P.2 Cartesian Coordinate System 14
CHAPTER P Prerequisites 1 P.1 Real Numbers 1 Representing Real Numbers ~ Order and Interval Notation ~ Basic Properties of Algebra ~ Integer Exponents ~ Scientific Notation P.2 Cartesian Coordinate System
More informationPreCalculus. Curriculum (447 topics additional topics)
PreCalculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.
More informationMATH 1040 Objectives List
MATH 1040 Objectives List Textbook: Calculus, Early Transcendentals, 7th edition, James Stewart Students should expect test questions that require synthesis of these objectives. Unit 1 WebAssign problems
More informationPrecalculus. Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. Precalculus, 6th edition, McGraw- Hill, ISBN:
Precalculus Course Text Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. Precalculus, 6th edition, McGraw- Hill, 2008. ISBN: 978-0-07-331263-7. Course Description This course provides a working
More informationPre-Calculus Chapter 0. Solving Equations and Inequalities 0.1 Solving Equations with Absolute Value 0.2 Solving Quadratic Equations
Pre-Calculus Chapter 0. Solving Equations and Inequalities 0.1 Solving Equations with Absolute Value 0.1.1 Solve Simple Equations Involving Absolute Value 0.2 Solving Quadratic Equations 0.2.1 Use the
More informationRegion 16 Board of Education. Precalculus Curriculum
Region 16 Board of Education Precalculus Curriculum 2008 1 Course Description This course offers students an opportunity to explore a variety of concepts designed to prepare them to go on to study calculus.
More informationAlgebra 2 Khan Academy Video Correlations By SpringBoard Activity
SB Activity Activity 1 Creating Equations 1-1 Learning Targets: Create an equation in one variable from a real-world context. Solve an equation in one variable. 1-2 Learning Targets: Create equations in
More informationAlgebra 2 Khan Academy Video Correlations By SpringBoard Activity
SB Activity Activity 1 Creating Equations 1-1 Learning Targets: Create an equation in one variable from a real-world context. Solve an equation in one variable. 1-2 Learning Targets: Create equations in
More informationDover-Sherborn High School Mathematics Curriculum Pre-Calculus Level 1/CP
Mathematics Curriculum A. DESCRIPTION This course is an extension of Algebra II with the emphasis in Trigonometry and introductory calculus topics. All major areas covered in Algebra II are reinforced
More informationTopic Outline for Algebra 2 & and Trigonometry One Year Program
Topic Outline for Algebra 2 & and Trigonometry One Year Program Algebra 2 & and Trigonometry - N - Semester 1 1. Rational Expressions 17 Days A. Factoring A2.A.7 B. Rationals A2.N.3 A2.A.17 A2.A.16 A2.A.23
More informationNew Jersey Quality Single Accountability Continuum (NJQSAC) A-CED 1-4; A-REI 1-2,5-7; F-IF 1-2, 4-5; N-Q 1-3; N-RN
New Jersey Quality Single Accountability Continuum (NJQSAC) (former ICM) Date: Unit 1, September 4-30 How do we use functions to solve real world problems? How can we model a real-life situation with a
More informationPre-Calculus MATH 119 Fall Section 1.1. Section objectives. Section 1.3. Section objectives. Section A.10. Section objectives
Pre-Calculus MATH 119 Fall 2013 Learning Objectives Section 1.1 1. Use the Distance Formula 2. Use the Midpoint Formula 4. Graph Equations Using a Graphing Utility 5. Use a Graphing Utility to Create Tables
More informationCourse Outline and Objectives. MA 1453 Precalculus with Graphing Calculators
Effective Fall 2011 Course Outline and Objectives MA 1453 Precalculus with Graphing Calculators TEXT: Precalculus, 5 th Edition, by Faires and DeFranza ISBN 978-0-8400-6862-0 NOTE: A graphing calculator
More informationAP CALCULUS AB Study Guide for Midterm Exam 2017
AP CALCULUS AB Study Guide for Midterm Exam 2017 CHAPTER 1: PRECALCULUS REVIEW 1.1 Real Numbers, Functions and Graphs - Write absolute value as a piece-wise function - Write and interpret open and closed
More informationCURRICULUM GUIDE. Honors Algebra II / Trigonometry
CURRICULUM GUIDE Honors Algebra II / Trigonometry The Honors course is fast-paced, incorporating the topics of Algebra II/ Trigonometry plus some topics of the pre-calculus course. More emphasis is placed
More informationWAYNESBORO AREA SCHOOL DISTRICT CURRICULUM PRE-CALCULUS (June 2014)
WAYNESBORO AREA SCHOOL DISTRICT CURRICULUM PRE-CALCULUS (June 2014) COURSE NAME: Pre-Calculus UNIT: Chapter 1 NO. OF DAYS: KEY LEARNING (S): UNIT ESSENTIAL QUESTIONS: What methods are used to solve equations
More informationPRECALCULUS BISHOP KELLY HIGH SCHOOL BOISE, IDAHO. Prepared by Kristina L. Gazdik. March 2005
PRECALCULUS BISHOP KELLY HIGH SCHOOL BOISE, IDAHO Prepared by Kristina L. Gazdik March 2005 1 TABLE OF CONTENTS Course Description.3 Scope and Sequence 4 Content Outlines UNIT I: FUNCTIONS AND THEIR GRAPHS
More informationPrecalculus. Course Text. Course Description. Course Objectives. StraighterLine MAT201: Precalculus
Precalculus Course Text Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. Precalculus, 6th edition, McGraw-Hill, 2008. ISBN: 9780073312637 [This text is available as an etextbook at purchase
More informationSTEM-Prep Pathway SLOs
STEM-Prep Pathway SLOs Background: The STEM-Prep subgroup of the MMPT adopts a variation of the student learning outcomes for STEM from the courses Reasoning with Functions I and Reasoning with Functions
More informationCatholic Central High School
Catholic Central High School Course: Basic Algebra 2 Department: Mathematics Length: One year Credit: 1 Prerequisite: Completion of Basic Algebra 1 or Algebra 1, Basic Plane Geometry or Plane Geometry,
More informationCourse Outcome Summary
Course Information: Algebra 2 Description: Instruction Level: 10-12 Total Credits: 2.0 Prerequisites: Textbooks: Course Topics for this course include a review of Algebra 1 topics, solving equations, solving
More informationAlgebra 2. Curriculum (384 topics additional topics)
Algebra 2 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.
More informationCollege Algebra and Trigonometry
GLOBAL EDITION College Algebra and Trigonometry THIRD EDITION J. S. Ratti Marcus McWaters College Algebra and Trigonometry, Global Edition Table of Contents Cover Title Page Contents Preface Resources
More informationAlgebra III/Trigonometry CP
East Penn School District Secondary Curriculum A Planned Course Statement for Algebra III/Trigonometry CP Course # 330 Grade(s) 10,11,12 Department: Mathematics ength of Period (mins.) 42 Total Clock Hours:
More informationMilford Public Schools Curriculum. Department: Mathematics Course Name: Precalculus Level 1
Milford Public Schools Curriculum Department: Mathematics Course Name: Precalculus Level 1 UNIT 1 Unit Description: Students will construct polynomial graphs with zeros and end behavior, and apply limit
More informationMath Prep for Statics
Math Prep for Statics This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular
More informationMath Review for AP Calculus
Math Review for AP Calculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet
More informationHUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK
HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK COURSE / SUBJECT P r e c a l c u l u s ( A ) KEY COURSE OBJECTIVES/ENDURING UNDERSTANDINGS OVERARCHING/ESSENTIAL SKILLS OR QUESTIONS and Graphs Polynomial, Power,
More informationAlgebra II Unit Breakdown (Curriculum Map Outline)
QUARTER 1 Unit 1 (Arithmetic and Geometric Sequences) A. Sequences as Functions 1. Identify finite and infinite sequences 2. Identify an arithmetic sequence and its parts 3. Identify a geometric sequence
More informationSalisbury Township School District Planned Course of Study Honors Pre Calculus Salisbury Inspire, Think, Learn, Grow Together!
Topic/Unit: Linear Functions Big Ideas/Enduring Understandings: Patterns can be represented numerically, graphically, symbolically, and verbally and provide insights into potential relationships. A linear
More informationPre-Calculus and Trigonometry Capacity Matrix
Review Polynomials A1.1.4 A1.2.5 Add, subtract, multiply and simplify polynomials and rational expressions Solve polynomial equations and equations involving rational expressions Review Chapter 1 and their
More informationDover- Sherborn High School Mathematics Curriculum Pre- Calculus CP 1
Dover- Sherborn High School Mathematics Curriculum Pre- Calculus CP 1 A. DESCRIPTION This course is an extension of Algebra II with the emphasis in Trigonometry and introductory calculus topics. All major
More informationObjectives List. Important Students should expect test questions that require a synthesis of these objectives.
MATH 1040 - of One Variable, Part I Textbook 1: : Algebra and Trigonometry for ET. 4 th edition by Brent, Muller Textbook 2:. Early Transcendentals, 3 rd edition by Briggs, Cochran, Gillett, Schulz s List
More informationWAYNESBORO AREA SCHOOL DISTRICT CURRICULUM ALGEBRA II
UNIT: Review of Basic Algebra Skills as Needed SR1 and any Supplemental Materials UNIT : What skills from Algebra I are used in Algebra II? Review Algebra I Skills as Needed SR1 and any additional resources
More informationPolynomials and Rational Functions. Quadratic Equations and Inequalities. Remainder and Factor Theorems. Rational Root Theorem
Pre-Calculus Pre-AP Scope and Sequence - Year at a Glance Pre-Calculus Pre-AP - First Semester Pre-calculus with Limits; Larson/Hostetler Three Weeks 1 st 3 weeks 2 nd 3 weeks 3 rd 3 weeks 4 th 3 weeks
More informationCopyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 2/10
Prep for Calculus This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (281 topics + 125 additional topics) Real
More informationIntermediate Level Learning Targets
Learning Target #1: Develop proficiency in analyzing, graphing and solving linear equations and inequalities. F1.1,,, B1. C1. 1.1 Students will be able to identify different types of relations and functions.
More informationCathedral Catholic High School Course Catalog
Cathedral Catholic High School Course Catalog Course Title: Pre-Calculus Course Description: This course is designed to prepare students to begin their college studies in introductory Calculus. Students
More informationCurriculum Mapper - Complete Curriculum Maps CONTENT. 1.2 Evaluate expressions (p.18 Activity 1.2).
Page 1 of 9 Close Window Print Page Layout Show Standards View Paragraph Format View Course Description MATH 3 (MASTER MAP) School: Binghamton High School Teacher: Master Map Email: Course #: 203 Grade
More informationAlgebra 2 with Trigonometry Correlation of the ALEKS course Algebra 2 with Trigonometry to the Tennessee Algebra II Standards
Algebra 2 with Trigonometry Correlation of the ALEKS course Algebra 2 with Trigonometry to the Tennessee Algebra II Standards Standard 2 : Number & Operations CLE 3103.2.1: CLE 3103.2.2: CLE 3103.2.3:
More informationDRAFT. Pre-calculus Curriculum Map Quarter 1 Chapters P 2. Extraneous Critical numbers Test intervals
Quarter 1 Chapters P 2 Plot points in the coordinate plane and use distance and midpoint formulas. Sketch graphs of equations. Find and use slope of a line to write and graph linear equations. Solve equations:
More informationReview for Cumulative Test 2
Review for Cumulative Test We will have our second course-wide cumulative test on Tuesday February 9 th or Wednesday February 10 th, covering from the beginning of the course up to section 4.3 in our textbook.
More informationCollege Algebra & Trig w Apps
WTCS Repository 10-804-197 College Algebra & Trig w Apps Course Outcome Summary Course Information Description Total Credits 5.00 This course covers those skills needed for success in Calculus and many
More informationClass Syllabus. Accessible Topic - Topics accessible to visually impaired students using a screen reader.
Class Syllabus Class: MATH 1112 Spring 2019 Pilot - MWF 9:05 to 9:55 am Subject : College Algebra with Trigonometry Class Code: WQJQT-3GQW4 Inst ruct or: Ritter Class Dat es: 01/04/2019-05/10/2019 Class
More informationHHS Pre-Calculus Reference Book
HHS Pre-Calculus Reference Book Purpose: To create a reference book to review topics for your final exam and to prepare you for Calculus. Instructions: Students are to compose a reference book containing
More informationVolusia County Mathematics Curriculum Map. Pre-Calculus. Course Number /IOD
Volusia County Mathematics Curriculum Map Pre-Calculus Course Number 1202340/IOD Mathematics Department Volusia County Schools Revised June 9, 2012 Pre- Calculus Curriculum Map 120234/IOD COMPONENTS OF
More information1 Chapter 2 Perform arithmetic operations with polynomial expressions containing rational coefficients 2-2, 2-3, 2-4
NYS Performance Indicators Chapter Learning Objectives Text Sections Days A.N. Perform arithmetic operations with polynomial expressions containing rational coefficients. -, -5 A.A. Solve absolute value
More informationTrigonometry Self-study: Reading: Red Bostock and Chandler p , p , p
Trigonometry Self-study: Reading: Red Bostock Chler p137-151, p157-234, p244-254 Trigonometric functions be familiar with the six trigonometric functions, i.e. sine, cosine, tangent, cosecant, secant,
More informationNYS Algebra II and Trigonometry Suggested Sequence of Units (P.I's within each unit are NOT in any suggested order)
1 of 6 UNIT P.I. 1 - INTEGERS 1 A2.A.1 Solve absolute value equations and inequalities involving linear expressions in one variable 1 A2.A.4 * Solve quadratic inequalities in one and two variables, algebraically
More informationPreCalculus. Curriculum (637 topics additional topics)
PreCalculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.
More informationAlgebra 2 Advanced (Master)
St. Michael Albertville High School Teacher: Kim Benson Algebra 2 Advanced (Master) August 2015 CEQs: WHAT RELATIONSHIP S EXIST BETWEEN VARIOUS FUNCTIONS, THEIR GRAPHS, AND THEIR SOLUTION(S)? HOW DO WE
More informationGrade Math (HL) Curriculum
Grade 11-12 Math (HL) Curriculum Unit of Study (Core Topic 1 of 7): Algebra Sequences and Series Exponents and Logarithms Counting Principles Binomial Theorem Mathematical Induction Complex Numbers Uses
More informationSeymour Public Schools Curriculum
The Mathematics Department believes its students must learn the importance of mathematics, the integration of different branches of mathematics, the application of math to real-life problems, and the connections
More informationxvi xxiii xxvi Construction of the Real Line 2 Is Every Real Number Rational? 3 Problems Algebra of the Real Numbers 7
About the Author v Preface to the Instructor xvi WileyPLUS xxii Acknowledgments xxiii Preface to the Student xxvi 1 The Real Numbers 1 1.1 The Real Line 2 Construction of the Real Line 2 Is Every Real
More informationIntegrated Mathematics I, II, III 2016 Scope and Sequence
Mathematics I, II, III 2016 Scope and Sequence I Big Ideas Math 2016 Mathematics I, II, and III Scope and Sequence Number and Quantity The Real Number System (N-RN) Properties of exponents to rational
More informationCollege Algebra with Corequisite Support: A Blended Approach
College Algebra with Corequisite Support: A Blended Approach 978-1-63545-058-3 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable)
More informationHarbor Creek School District
Unit 1 Days 1-9 Evaluate one-sided two-sided limits, given the graph of a function. Limits, Evaluate limits using tables calculators. Continuity Evaluate limits using direct substitution. Differentiability
More informationPreCalculus Honors Curriculum Pacing Guide First Half of Semester
Unit 1 Introduction to Trigonometry (9 days) First Half of PC.FT.1 PC.FT.2 PC.FT.2a PC.FT.2b PC.FT.3 PC.FT.4 PC.FT.8 PC.GCI.5 Understand that the radian measure of an angle is the length of the arc on
More informationInstructional Units Plan Algebra II
Instructional Units Plan Algebra II This set of plans presents the topics and selected for ACT s rigorous Algebra II course. The topics and standards are arranged in ten units by suggested instructional
More informationCollege Algebra with Corequisite Support: A Compressed Approach
College Algebra with Corequisite Support: A Compressed Approach 978-1-63545-059-0 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable)
More informationCOWLEY COLLEGE & Area Vocational Technical School
COWLEY COLLEGE & Area Vocational Technical School COURSE PROCEDURE FOR TRIGONOMETRY MTH 4425 3 Credit Hours Student Level: This course is open to students on the college level in the freshman year. Catalog
More informationMath 121 Calculus 1 Fall 2009 Outcomes List for Final Exam
Math 121 Calculus 1 Fall 2009 Outcomes List for Final Exam This outcomes list summarizes what skills and knowledge you should have reviewed and/or acquired during this entire quarter in Math 121, and what
More informationPortable Assisted Study Sequence ALGEBRA IIB
SCOPE This course is divided into two semesters of study (A & B) comprised of five units each. Each unit teaches concepts and strategies recommended for intermediate algebra students. The second half of
More informationCheck boxes of Edited Copy of Sp Topics (was 217-pilot)
Check boxes of Edited Copy of 10024 Sp 11 213 Topics (was 217-pilot) College Algebra, 9th Ed. [open all close all] R-Basic Algebra Operations Section R.1 Integers and rational numbers Rational and irrational
More informationHigh School Mathematics Honors PreCalculus
High School Mathematics Honors PreCalculus This is an accelerated course designed for the motivated math students with an above average interest in mathematics. It will cover all topics presented in Precalculus.
More informationCollege Algebra with Corequisite Support: Targeted Review
College Algebra with Corequisite Support: Targeted Review 978-1-63545-056-9 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable)
More informationPre AP Algebra. Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Algebra
Pre AP Algebra Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Algebra 1 The content of the mathematics standards is intended to support the following five goals for students: becoming
More informationBusiness Calculus
Business Calculus 978-1-63545-025-5 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Senior Contributing Authors: Gilbert
More informationAlgebra Topic Alignment
Preliminary Topics Absolute Value 9N2 Compare, order and determine equivalent forms for rational and irrational numbers. Factoring Numbers 9N4 Demonstrate fluency in computations using real numbers. Fractions
More informationTopic Outline for Integrated Algebra 2 and Trigonometry-R One Year Program with Regents in June
Topic Outline for Integrated Algebra 2 and Trigonometry-R One Year Program with Regents in June Integrated Algebra 2 & Trigonometry - R Semester 1 1. Rational Expressions 7 Days A. Factoring A2.A.7 Factor
More informationPHASE 1 CURRICULUM MAP M. Fellmeth Course/Subject: Honors Precalculus Grade: 11 th Teacher: M. Hart
Month: September 1. How to describe angles using different units of measure and how to find the lengths associated with those angles. 2.3.11 A Select and use appropriate units and tools to measure to the
More informationUNIT 3 MATHEMATICAL METHODS ALGEBRA
UNIT 3 MATHEMATICAL METHODS ALGEBRA Substitution of Values Rearrangement and Substitution Polynomial Expressions Expanding Expressions Expanding Expressions by Rule Perfect Squares The Difference of Two
More informationCollege Algebra To learn more about all our offerings Visit Knewton.com
College Algebra 978-1-63545-097-2 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Text Jay Abramson, Arizona State University
More informationINDEX UNIT 3 TSFX REFERENCE MATERIALS 2014 ALGEBRA AND ARITHMETIC
INDEX UNIT 3 TSFX REFERENCE MATERIALS 2014 ALGEBRA AND ARITHMETIC Surds Page 1 Algebra of Polynomial Functions Page 2 Polynomial Expressions Page 2 Expanding Expressions Page 3 Factorising Expressions
More informationPre-Calculus EOC Review 2016
Pre-Calculus EOC Review 2016 Name The Exam 50 questions, multiple choice, paper and pencil. I. Limits 8 questions a. (1) decide if a function is continuous at a point b. (1) understand continuity in terms
More informationCliffside Park Public Schools. College Prep Mathematics
Department: Course Title Mathematics College Prep Mathematics Textbook(s): College Algebra & Trigonometry Date: Essential Question(s): Content Unit 1, September 4-30 How do we use functions to solve real
More informationThe Research- Driven Solution to Raise the Quality of High School Core Courses. Algebra I I. Instructional Units Plan
The Research- Driven Solution to Raise the Quality of High School Core Courses Algebra I I Instructional Units Plan Instructional Units Plan Algebra II This set of plans presents the topics and selected
More informationAnalysis of Functions
Volusia County Mathematics Department Curriculum Map Analysis of Functions Course Number 1201310 Mathematics Department Analysis of Functions Curriculum Map Volusia County Schools 1201310 Revision 8-01-12
More informationCollege Algebra with Trigonometry
College Algebra with Trigonometry This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (556 topics + 614 additional
More informationWest Windsor-Plainsboro Regional School District Algebra and Trigonometry Grades 11-12
West Windsor-Plainsboro Regional School District Algebra and Trigonometry Grades 11-12 Unit 1: Linear Relationships & Functions Content Area: Mathematics Course & Grade Level: Algebra & Trigonometry, 11
More informationCourse Outline, Mathematics - Algebra 2-Trigonometry -
Course Outline, Mathematics - Algebra 2-Trigonometry - Course Description: Algebra 2 is the study of equations of second degree, which include such diverse geometric manifestations as parabolas, ellipses,
More informationNORTH ALLEGHENY SCHOOL DISTRICT MATHEMATICS DEPARTMENT HONORS PRE-CALCULUS SYLLABUS COURSE NUMBER: 3421
NORTH ALLEGHENY SCHOOL DISTRICT MATHEMATICS DEPARTMENT HONORS PRE-CALCULUS SYLLABUS COURSE NUMBER: 3421 Units of Credit: 1.0 credits, honors weight Course Length: 184 days (full year) Course Overview This
More informationUnit 1 Linear Functions I CAN: A.1.a Solve single-step and multistep equations and inequalities in one variable
CUMBERLAND COUNTY SCHOOL DISTRICT BENCHMARK ASSESSMENT CURRICULUM PACING GUIDE School: CCHS Subject: Precalculus Grade: 12 Benchmark Assessment 1 Instructional Timeline: Units 1, 2, 3 Term 1 Dependent
More informationIntermediate Algebra
Intermediate Algebra 978-1-63545-084-2 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) Openstax Lyn Marecek, MaryAnne Anthony-Smith
More informationPre-Calculus and Trigonometry Capacity Matrix
Pre-Calculus and Capacity Matri Review Polynomials A1.1.4 A1.2.5 Add, subtract, multiply and simplify polynomials and rational epressions Solve polynomial equations and equations involving rational epressions
More informationAlgebra II Learning Targets
Chapter 0 Preparing for Advanced Algebra LT 0.1 Representing Functions Identify the domain and range of functions LT 0.2 FOIL Use the FOIL method to multiply binomials LT 0.3 Factoring Polynomials Use
More informationCurriculum Guide College Algebra
Unit 1: Review of Basic Algebra Polynomial literally means many names. What is the significance of the many names for God in the Bible? 15 Lessons CA#1 1. Add/subtract/multiply/divide polynomials. 2. Factor
More informationCOURSE SYLLABUS Part I Course Title: MATH College Algebra Credit Hours: 4, (4 Lecture 0 Lab G) OTM-TMM001
COURSE SYLLABUS Part I Course Title: MATH 1340 - College Algebra Credit Hours: 4, (4 Lecture 0 Lab G) OTM-TMM001 Course Description: College Algebra in conjunction with MATH 1350, Pre-Calculus, provides
More informationTHEIR GRAPHS, AND THEIR
St. Michael Albertville High School Teacher: Kim Benson Algebra 2 (Master) August 2015 CEQs: WHAT RELATIONSHIP S EXIST BETWEEN VARIOUS FUNCTIONS, THEIR GRAPHS, AND THEIR SOLUTION(S)? HOW DO WE SIMPLIFY
More informationCommon Core Edition Table of Contents
Common Core Edition Table of Contents ALGEBRA 1 Chapter 1 Foundations for Algebra 1-1 Variables and Expressions 1-2 Order of Operations and Evaluating Expressions 1-3 Real Numbers and the Number Line 1-4
More informationAlgebra 2 and Trigonometry
Algebra 2 and Trigonometry Number Sense and Operations Strand Students will understand meanings of operations and procedures, and how they relate to one another. Operations A2.N.1 Evaluate numerical expressions
More informationTennessee s State Mathematics Standards Precalculus
Tennessee s State Mathematics Standards Precalculus Domain Cluster Standard Number Expressions (N-NE) Represent, interpret, compare, and simplify number expressions 1. Use the laws of exponents and logarithms
More informationOverall Description of Course Trigonometry is a College Preparatory level course.
Radnor High School Course Syllabus Modified 9/1/2011 Trigonometry 444 Credits: 1 Grades: 11-12 Unweighted Prerequisite: Length: Year Algebra 2 Format: Meets Daily or teacher recommendation Overall Description
More informationMath Curriculum Map: Integrated Algebra II Unit: 1 Quarter: Time Frame: Review of Algebra 13 days Essential Questions: Key Concepts: Key Vocabulary:
Math Curriculum Map: Integrated Algebra II Unit: 1 Quarter: Time Frame: Review of Algebra 1 13 days Essential Questions: How does the order of operations help solve one- and two- step equations? How is
More informationPC.FT.3 Use special triangles to determine geometrically the values of sine, cosine, tangent for π 3, π 4, and π 6,
FIRST NINE WEEKS Text: Blitzer Pre-Calculus Chapters 4, 5, 6 Unit 1 Introduction to : Sections 4.1, 4.2, 4.3, 4.4 PC.FT.1 Understand that the radian measure of an angle is the length of the arc on the
More information