PreCalculus Curriculum Guide

Size: px
Start display at page:

Download "PreCalculus Curriculum Guide"

Transcription

1 MOUNT VERNON CITY SCHOOL DISTRICT A World Class Organization PreCalculus Curriculum Guide THIS HANDBOOK IS FOR THE IMPLEMENTATION OF THE NYS MATH b CURRICULUM IN MOUNT VERNON. THIS PROVIDES AN OUTLINE OF THE DISTRICT S EXPECTATIONS AND POLICIES. Developed August 2009

2 Mount Vernon City School District Board of Education Charles Stern President Derrick Claye Vice President Board Trustees Maria Aneiro Adrian Armstrong Carol Ben Reuben Maria Cedano Elias Steven Gootzeit Lynn C. Frazier-McBride Michelle Walker Superintendent of Schools W.L. Tony Sawyer, Ed.D. Deputy Superintendent Maureen Gonzalez Assistant Superintendents Timothy Costello, Business Shelley Jallow, Curriculum and Instruction Pre-Calculus 2 Curriculum Guide

3 TABLE OF CONTENTS I. COVER II. MVCSD BOARD OF EDUCATION III. TABLE OF CONTENTS IV. IMPORTANT DATES V. VISION STATEMENT VI. MVCSD PRECALCULUS PACING GUIDE VII. SECONDARY MATHEMATICS GRADING POLICY...16 VIII. CLASSROOM AESTHETICS IX. WORD WALLS ARE DESIGNED TO...18 X. SYSTEMATIC DESIGN OF A MATHEMATICS LESSON...19 This document was prepared by the Mount Vernon City School District Curriculum and Instruction Department in conjunction with the Mathematics Articulation Committee. Pre-Calculus 3 Curriculum Guide

4 IMPORTANT DATES REPORT CARD 10 WEEK PERIOD Marking Period Marking Period Begins Interim Progress Reports Marking Period Ends Duration Report Card Distribution 1 9/9/09 10/5/09 11/13/09 10 weeks 11/23/ /16/09 12/14/09 1/29/10 10 weeks 2/8/10 3 2/1/10 3/8/10 4/23/10 10 weeks 5/3/10 4 4/26/10 5/24/10 6/18/10 8 weeks 6/25/10 As per MVCSD Board Resolution 06-71, the Parent Notification Policy states Parent(s) / guardian(s) or adult students are to be notified, in writing, at any time during a grading period when it is apparent - that the student may fail or is performing unsatisfactorily in any course or grade level. Parent(s) / guardian(s) are also to be notified, in writing, at any time during the grading period when it becomes evident that the student's conduct or effort grades are unsatisfactory. DISTRICT ASSESSMENTS 1. Quarterly Examination * November 2-6, Midterm Examination * January 19-22, Quarterly Examination * April 12-16, Final Examination * June 7-11, 2010 * Note: These dates are tentative. Pre-Calculus 4 Curriculum Guide

5 VISION STATEMENT True success comes from co-accountability and co-responsibility. In a coherent instructional system, everyone is responsible for student learning and student achievement. The question we need to constantly ask ourselves is, "How are our students doing?" The starting point for an accountability system is a set of standards and benchmarks for student achievement. Standards work best when they are well defined and clearly communicated to students, teachers, administrators, and parents. The focus of a standards-based education system is to provide common goals and a shared vision of what it means to be educated. The purposes of a periodic assessment system are to diagnose student learning needs, guide instruction and align professional development at all levels of the system. The primary purpose of this Instructional Guide is to provide teachers and administrators with a tool for determining what to teach and assess. More specifically, the Instructional Guide provides a "road map" and timeline for teaching and assessing the NYS Mathematics Core Curriculum. I ask for your support in ensuring that this tool is utilized so students are able to benefit from a standards-based system where curriculum, instruction, and assessment are aligned. In this system, curriculum, instruction, and assessment are tightly interwoven to support student learning and ensure ALL students have equal access to a rigorous curriculum. We must all accept responsibility for closing the achievement gap and improving student achievement for all of our students. Satish Jagnandan Administrator for Mathematics and Science (K-12) Pre-Calculus 5 Curriculum Guide

6 PRE-CALCULUS PACING GUIDE This guide using A Graphical Approach to Pre-calculus with Limits (ISBN #: X) was created to provide teachers with a time frame to complete the Pre-Calculus Curriculum. Chapter Topics Sub-Topics Timeframe 1-1 Real Numbers and Sept Coordinate Systems 1. Linear, Equations, and Inequalities 1-2 Introduction to Relations and Sets of Real Numbers Coordinate Systems Viewing Window Roots Distance Formula Midpoint Formula Set-builder notation and Interval Notation Relations, Domains, and Range Tables Function Notation 1-3 Linear Basic Concepts About Linear Slope of a Line Slope-intercept Form of the Equation of a Line 1-4 Equation of Lines and Linear Models 1-5 Linear Equations and Inequalities 1-6 Applications of Linear Point-slope Form of the Equation of a Line Other Forms of the Equation of a Line Parallel and Perpendicular Lines Linear Models and Regression Solving Linear Equations Identities and Contradictions Solving Linear Inequalities Graphical Approaches to Solving Linear Inequalities Three-Part Inequalities Applications of Linear Equations Break-Even Analysis Direct Variation Formulas EXAM #1 Sept Sept Sept Sept Sept Pre-Calculus 6 Curriculum Guide

7 Chapter Topics Sub-Topics Timeframe 2. Analysis of 2-1 Graphs of Basic Continuity Oct Graphs of and Increasing and Decreasing Relations; Symmetry The Identity Function The Squaring Function and Symmetry with Respect to the y-axis The Cubing Function and Symmetry with Respect to the Origin The Square Root and Cube Root The Absolute Value Function The Relation x = y 2 and Symmetry with Respect to the x-axis 3. Polynomial 2-2 Vertical and Horizontal Shifts of Graphs 2-3 Stretching, Shrinking, and Reflecting Graphs 2-4 Absolute Value : Graphs, Equations, Inequalities, and Applications 2-5 Piece-Wise Defined 2-6 Operations and Composition 3-1 Complex Numbers 3-2 Quadratic and Graphs 3-5 Quadratic Equations and Inequalities Even and Odd Vertical Shifts Horizontal Shifts Combinations of Vertical and Horizontal Shifts Effects of Shifts on the Domain and Range Horizontal Shifts Applied to Equations for Modeling Vertical Stretching Vertical Shrinking Reflecting Across and Axis Combining Transformations of Graphs The Graph of y = f(x) Properties of Absolute Value Equations and Inequalities Involving Absolute Value Graphing Piece-Wise Defined The Greatest Integer Function Applications of Piece-Wise Defined Operations on The Difference Quotient Composition of Applications of Operation and Composition EXAM #2 The Number i Operations with Complex Numbers Completing the Square Graphs of Quadratic Vertex Formula Extreme Values Applications and Modeling Zero-Product Property Solving x 2 = k Quadratic Formula and the Discriminant Solving Quadratic Equations Solving Quadratic Inequalities Formulas involving Quadratics Another Quadratic Model QUARTERLY Pre-Calculus 7 Curriculum Guide Oct Oct Oct Oct Oct Oct Oct Oct

8 Chapter Topics Sub-Topics Timeframe Higher-Degree Cubic Nov Polynomial Polynomial Quartic and Graphs Extrema End Behavior x-intercepts (Real Zeros) Comprehensive Graphs 4. Rational, Power, and Root 3-7 Topics in the Theory of Polynomial 3-8 Polynomial Equations and Inequalities 4-1 Rational and Graphs 4-3 Rational Equations, Inequalities, Applications, and Models Curve Fitting and Polynomial Models Intermediate Value Theorem Division of Polynomials Synthetic Division Remainder Theorem Factor Theorem Complex Zeros and the Fundamental Theorem of Algebra Nubmer of Zeros Rational Zeros Theorem Polynomial Equations Polynomial Inequalities Complex nth Roots Applications and Polynomial Models EXAM #3 The Reciprocal Function The Rational Function Defined by f(x) = 1/x 2 Vertical and horizontal asymptotes Oblique Asymptotes Graphs with Points of Discontinuity Solving Rational Equations Solving Rational Inequalities Inverse Variation Combined and Joint Variation Nov Nov Nov Nov Pre-Calculus 8 Curriculum Guide

9 Chapter Topics Sub-Topics Timeframe 4. Rational, 4-4 Defined Power and Root Dec Power, and by Powers and Roots Modeling Using Power Root Graph of f(x)= n ax + b Graphing Circles and Horizontal Parabolas Using Root 4-5 Equations, Equations and Inequalities Dec Inequalities, and Applications Involving Root Applications 5. Inverse, Exponential, and Logarithmic EXAM #4 5-1 Inverse Inverse Operations One-to-One Inverse and their Graphs An Application of Inverse 5-2 Exponential Function 5-3 Logarithms and their Properties 5-4 Logarithmic Real-Number Exponents Graphs of Exponential Exponential Equations (Type 1) The Number e Compound Interest Definition of Logarithm Common Logarithm Natural Logarithms Properties of Logarithms Change-of-Base Rule Graph of Logarithmic Applications of Logarithmic functions Dec Dec Dec Dec Pre-Calculus 9 Curriculum Guide

10 Chapter Topics Sub-Topics Timeframe 5. Inverse, 5-5 Exponential and Exponential Equations Jan Exponential, Logarithmic Equations Exponential Inequalities and and Inequalities Logarithmic Equations Logarithmic Logarithmic Inequalities Equations with Both Exponentials and Logarithms Formulas Involving Exponentials and Logarithms. 6. Analytic Geometry 6-1 Circles and Parabolas 6-2 Ellipses and Hyperbolas 6-4 Parametric Equations EXAM #5 Conic Sections Equations of Circles with Center at the Origin and Off the Origin Graphs of Circles An Application of Circles Equations of Parabolas Graphs of Parabolas Equations of Ellipses Graph of an Ellipse Application of Ellipses Equations of Hyperbolas Graphs of Hyperbolas Parametric Equations and their Graphs Rectangular Equivalents of Parametric Equations Alternative Forms of Parametric Equations. EXAM #6 MIDTERM Jan Jan Jan Pre-Calculus 10 Curriculum Guide

11 Chapter Topics Sub-Topics Timeframe 7-1 Systems of Feb Equations 7. Matrices and Systems of Equations and Inequalities 7-2 Solution of Linear Systems by Echelon Method 7-3 Solution of Linear Systems by Row Transformation 7-4 Matrix Properties and Operations 7-5 Determinants and Cramer s Rule Linear Systems Substitution Method Elimination Method Special Systems Nonlinear Systems Application of Systems Geometric Considerations Analytic Solutions of Systems in Three Variables Matrices and Technology Matrix Row Transformation Row Echelon Method Reduced Row Echelon Method Special Cases Terminology of Matrices Operations on Matrices Applying Matrix Algebra Determinants of 2x2 Matrices Determinants of Larger Matrices Derivation of Cramer s Rule Using Cramer s Rule to Solve Systems 7-7 Partial Fractions Decomposition of Rational Expression Distinct Linear Factors Repeated Linear Factors Distinct Linear and Quadratic Factors Repeated Quadratic Factors EXAM #7 Feb Feb Feb Feb Feb Pre-Calculus 11 Curriculum Guide

12 Chapter Topics Sub-Topics Timeframe Angles and Arcs Basic Terminology March Trigonometric Degree Measure and Standard Position and Co-terminal Applications Angles Radian Measure Arc Lengths and Sectors Angular and Linear Speed 8-2 Unit Circle Circular March Using a Calculator to Find Function Values Exact Function Values for π /4, π /6, π /3 8-3 Graph of Sine and Cosine 8-5 Function of Angles and Fundamental Identities 8-6 Evaluating Trigonometric 8-7 Application of Right Triangles Review of Basic Concepts Periodic Function Graph of the Sine Function Graph of the Cosine Function Graphing Techniques, Amplitude, and Period Translations Graphs of the Secant and Cosecant Graph of the Tangent and Cotangent Addition of Ordinates Trigonometric Quadrantal Angles Reciprocal Identities Signs and Ranges of Function Values Pythagorean Identities Quotient(Ratio) Identities Definitions of the Trigonometric Trigonometric Function Values of Special Angles Co-function Identities Reference Angles Special Angles as Reference Angles Finding Function Values with a Calculator Finding Angle Measures Significant Digits Solving Triangles. Angles of Elevation and Depression Bearing, Heading, and Further Applications EXAM #8 March March March March Pre-Calculus 12 Curriculum Guide

13 Chapter Topics Sub-Topics Timeframe 9-1 Trigonometric Fundamental Identities April Identities Using the Fundamental Identities 9. Trigonometric Identities and Equations 9-2 The Sum and Difference Identities 9-4 Inverse Circular 9-6 Trigonometric Equations and Inequalities Verifying Identities Cosine Sum and Difference Identities Sine and Tangent Sum and Difference Identitiers Double-Angle Identities Product-to-Sum and Sum-to-Product Identities. Half-Angle Identities Inverse Sine Function Inverse Cosine Function Inverse Tangent Function Remaining Inverse Trigonometric Inverse Function Values Equation Solvable by Linear Method Equations Solvable by Factoring Equations Solvable by Quadratic Formula Using Trigonometric Identities to Solve Equations Inequalities Involving Multiple-Angle Identities Inequalities Involving Half-Angle Identities EXAM #9 QUARTERLY April April April 10. Applications of Trigonometry and Vectors 10-1 Law of Sines Congruency and Oblique Triangles Derivation of the Law of Sines Ambiguous Case Applications 10-2 Law Cosines and Area Formulas 10-3 Vectors and Their Applications Derivation of the Law of Cosines and Applications Area Formulas and Applications Basic Terminology Algebraic Interpretation of Vectors Operations with Vectors Dot Product and the Angle Between Vectors April April April Pre-Calculus 13 Curriculum Guide

14 Chapter Topics Sub-Topics Timeframe 10-4 May Trigonometric/Polar Form of Complex Numbers 10. Applications of Trigonometry and Vectors 11. Further Topics in Algebra 10-5 Powers and Roots of Complex Numbers 10-6 Polar Equations and Graphs 11-1 Sequences and Series 11-2 Arithmetic Sequence and Series 11-3 Geometric Sequence and Series 11-4 The Binomial Theorem The Complex Plane and Vector Representation Polar Form Product of Complex Numbers in Trigonometric Form Quotient of Complex Numbers in Polar Form Powers of Complex Numbers (De Moivre s Theorem) Roots of Complex Numbers Polar Coordinate System Graphs of Polar Equations Classifying Polar Equations Converting Equations Parametric Equations with Trigonometric EXAM #10 Sequences Series and Summation Notation Summation Properties Basic Terminology Arithmetic Sequence Arithmetic Series Geometric Sequence Geometric Series Infinite Geometric Series Annuities A Binomial Expansion Pattern Pascal s Triangle n-factorial Binomial Coefficients The Binomial Theorem rth Term of a Binomial Expansion May May May May May May Pre-Calculus 14 Curriculum Guide

15 Chapter Topics Sub-Topics Timeframe 11. Further 11-6 Counting Theory Fundamental Principle of Counting June Topics in Permutations Algebra Combinations Distinguishing Between Permutation and Combination 11-7 Probability Basic Concepts June Complements and Venn Diagrams Odds Union of Two Events Binomial Probability 12. Limits, Derivative, and Definite Integrals 12-1 Introduction to Limits 12-2 Techniques for Calculating Limits EXAM #11 Limit of a Function Finding Limits of Various Tyes of Limits That Do Not Exist Rules for Limits Limits Involving Trigonometric 12-3 One-Sided Limits Right-Hand Limits and Left-Hand Limits Infinity as a Limit Limits as x Approaches Positive or Negative Infinity 12-4 Tangent Lines and Derivatives 12-5 Area and the Definite Integral The Tangent Line as a Limit of the Secant Lines Derivative of a Function Interpretation of the Derivative as a Rate of Change Marginal Concepts in Economics Area by Approximation The Definite Integral EXAM #12 FINAL June June June June June Pre-Calculus 15 Curriculum Guide

16 SECONDARY MATHEMATICS GRADING POLICY This course of study includes different components, each of which are assigned the following percentages to comprise a final grade. I want you--the student--to understand that your grades are not something that I give you, but rather, a reflection of the work that you give to me. COMPONENTS 1. Chapter / Unit Tests 35% 2. Quizzes 15% 3. Homework 20% 4. Notebook and/or Journal 15% 5. Classwork / Class Participation 15% o Class participation will play a significant part in the determination of your grade. Class participation will include the following: attendance, punctuality to class, contributions to the instructional process, effort, contributions during small group activities and attentiveness in class. Important Notice As per MVCSD Board Resolution 06-71, the Parent Notification Policy states Parent(s) / guardian(s) or adult students are to be notified, in writing, at any time during a grading period when it is apparent - that the student may fail or is performing unsatisfactorily in any course or grade level. Parent(s) / guardian(s) are also to be notified, in writing, at any time during the grading period when it becomes evident that the student's conduct or effort grades are unsatisfactory. Pre-Calculus 16 Curriculum Guide

17 CLASSROOM AESTHETICS PRINT RICH ENVIRONMENT CONDUCIVE TO LEARNING TEACHER NAME: PERIOD: ROOM: CHECKLIST Teacher Schedule YES NO Class Lists Seating Charts Code of Conduct / Discipline (Class Rules) Mathematics Grading Policy Mathematics Diagrams, Posters, Displays, etc. Updated Student Work (Projects, Assessments, Writing, etc.) Updated Student Portfolios Updated Grade Level Mathematics Word-Wall Organization of Materials Cleanliness Principal Signature: Date: AP Signature: Date: Pre-Calculus 17 Curriculum Guide

18 WORD WALLS ARE DESIGNED to promote group learning support the teaching of important general principles about words and how they work Foster reading and writing in content area Provide reference support for children during their reading and writing Promote independence on the part of young students as they work with words Provide a visual map to help children remember connections between words and the characteristics that will help them form categories Develop a growing core of words that become part of their vocabulary Important Notice A Mathematics Word Wall must be present in every mathematics classroom. The List of Mathematical Language for Math 4 Math B level instruction must be incorporated into the Mathematics Word Wall. Math Word Wall Create a math word wall Place math words on your current word wall but highlight them in some way. Pre-Calculus 18 Curriculum Guide

19 SYSTEMATIC DESIGN OF A MATHEMATICS LESSON What are the components of a Secondary Mathematics Lesson? PHASE I: ENGAGE AND EXPLAIN 20 minutes Standard: Indicate NYS Performance Indicator Instructional Objective: This is a statement which informs the student what he/she will be able to do by the end of the lesson; the aim of the learning session. Motivation: This is an activity, a problem, idea, or picture, etc. which produces a mental set. The motivation is used to hook the student into the lesson. It should be based on the level of student interest/experiences. Delivery of Instruction: This is the instructional delivery of the teacher, which gives the learner the information needed to complete the instructional objective of the lesson. Activities such as demonstrations, cooperative groups, teacher / peer directed approaches, teacher modeling, etc. may be used. PHASE II: EXPLORE AND ELABORATE 15 minutes Applications: Checking for understanding - a check of the students possession of essential information. 1. Guided Practice: Posing questions that gradually lead students from easy or familiar examples to new understandings 2. Independent Practice: students complete private, individual work based on extending the lesson objective. 3. Cooperative Learning: Small teams may work with sets of data or develop alternatives or a preferred approach to solving a problem. 4. Activity (using manipulative, technology) to development conceptual understanding of content. PHASE III: EVALUATE AND EXTEND 10 minutes Closure: 1. This is the final summary that clarifies the concepts/skills taught. (eg. What new information (skill, theme) did we learn today? ) This phase is used by the teacher to help students connect the taught part of the lesson with the application portion. The time involves questioning, reflection, and reteaching / reconstructing content. Extended Practice: 1. Homework, projects or enrichment activities should be assigned on a daily basis. 2. SPIRALLING OF HOMEWORK - Teacher will also assign problems / questions pertaining to lessons taught in the past. Pre-Calculus 19 Curriculum Guide

20 Important Notice All aims must be numbered with corresponding homework. For example, aim #1 will corresponded to homework #1 and so on. Writing assignments at the end of the lesson (closure) bring great benefits. Not only do they enhance students' general writing ability, but they also increase both the understanding of content while learning the specific vocabulary of the disciplines. Spiraling Homework o Homework is used to reinforce daily learning objectives. The secondary purpose of homework is to reinforce objectives learned earlier in the year. The assessments are cumulative, spiraling homework requires students to review coursework throughout the year. Lesson #66 AIM #66: What is the relationship between the slopes of two parallel lines? Students will be able to: 1. determine that if two lines are parallel, their slopes are equal and the converse 2. given the equation of two lines, determine if they are parallel 3. write the equation of a line parallel to a given line and passing through a given point on the line Writing Exercise / Closure: Explain the relationship between the slopes of two parallel lines. Homework #66 Page 234 #5, 7, 9 Page 228 #4, 13 Page 153 #21, 33 Page 78 #40 Study for Quiz #8 on Wednesday, January 7, 2009 Manipulatives must be incorporated in all lessons. With students actively involved in manipulating materials, interest in mathematics will be aroused. Using manipulative materials in teaching mathematics will help students learn: a. to relate real world situations to mathematics symbolism. b. to work together cooperatively in solving problems. c. to discuss mathematical ideas and concepts. d. to verbalize their mathematics thinking. e. to make presentations in front of a large group. f. that there are many different ways to solve problems. g. that mathematics problems can be symbolized in many different ways. h. that they can solve mathematics problems without just following teachers' directions. Pre-Calculus 20 Curriculum Guide

Thnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks

Thnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks Thnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks Welcome to Thinkwell s Homeschool Precalculus! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson

More information

Estimated Pre Calculus Pacing Timeline

Estimated Pre Calculus Pacing Timeline Estimated Pre Calculus Pacing Timeline 2010-2011 School Year The timeframes listed on this calendar are estimates based on a fifty-minute class period. You may need to adjust some of them from time to

More information

Algebra and Geometry Review (61 topics, no due date)

Algebra and Geometry Review (61 topics, no due date) Course Name: Math 112 Credit Exam LA Tech University Course Code: ALEKS Course: Trigonometry Instructor: Course Dates: Course Content: 159 topics Algebra and Geometry Review (61 topics, no due date) Properties

More information

Higher Education Math Placement

Higher Education Math Placement Higher Education Math Placement Placement Assessment Problem Types 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry Subtraction with borrowing Multiplication

More information

Precalculus REVERSE CORRELATION. Content Expectations for. Precalculus. Michigan CONTENT EXPECTATIONS FOR PRECALCULUS CHAPTER/LESSON TITLES

Precalculus REVERSE CORRELATION. Content Expectations for. Precalculus. Michigan CONTENT EXPECTATIONS FOR PRECALCULUS CHAPTER/LESSON TITLES Content Expectations for Precalculus Michigan Precalculus 2011 REVERSE CORRELATION CHAPTER/LESSON TITLES Chapter 0 Preparing for Precalculus 0-1 Sets There are no state-mandated Precalculus 0-2 Operations

More information

Prentice Hall Mathematics: Algebra 2 2007 Correlated to: Utah Core Curriculum for Math, Intermediate Algebra (Secondary)

Prentice Hall Mathematics: Algebra 2 2007 Correlated to: Utah Core Curriculum for Math, Intermediate Algebra (Secondary) Core Standards of the Course Standard 1 Students will acquire number sense and perform operations with real and complex numbers. Objective 1.1 Compute fluently and make reasonable estimates. 1. Simplify

More information

South Carolina College- and Career-Ready (SCCCR) Pre-Calculus

South Carolina College- and Career-Ready (SCCCR) Pre-Calculus South Carolina College- and Career-Ready (SCCCR) Pre-Calculus Key Concepts Arithmetic with Polynomials and Rational Expressions PC.AAPR.2 PC.AAPR.3 PC.AAPR.4 PC.AAPR.5 PC.AAPR.6 PC.AAPR.7 Standards Know

More information

How To Understand And Solve Algebraic Equations

How To Understand And Solve Algebraic Equations College Algebra Course Text Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. College Algebra, 8th edition, McGraw-Hill, 2008, ISBN: 978-0-07-286738-1 Course Description This course provides

More information

BookTOC.txt. 1. Functions, Graphs, and Models. Algebra Toolbox. Sets. The Real Numbers. Inequalities and Intervals on the Real Number Line

BookTOC.txt. 1. Functions, Graphs, and Models. Algebra Toolbox. Sets. The Real Numbers. Inequalities and Intervals on the Real Number Line College Algebra in Context with Applications for the Managerial, Life, and Social Sciences, 3rd Edition Ronald J. Harshbarger, University of South Carolina - Beaufort Lisa S. Yocco, Georgia Southern University

More information

PRE-CALCULUS GRADE 12

PRE-CALCULUS GRADE 12 PRE-CALCULUS GRADE 12 [C] Communication Trigonometry General Outcome: Develop trigonometric reasoning. A1. Demonstrate an understanding of angles in standard position, expressed in degrees and radians.

More information

Math 1280/1300, Pre-Calculus

Math 1280/1300, Pre-Calculus Math 1280/1300, Pre-Calculus Instructor: Office: Office Hours: Phone: E-mail: MyMathLab Course Code: Text and Materials: ISBN: 1269594060 Author: Blitzer Title: Precalculus, Books a la Carte Edition Package

More information

COLLEGE ALGEBRA LEARNING COMMUNITY

COLLEGE ALGEBRA LEARNING COMMUNITY COLLEGE ALGEBRA LEARNING COMMUNITY Tulsa Community College, West Campus Presenter Lori Mayberry, B.S., M.S. Associate Professor of Mathematics and Physics lmayberr@tulsacc.edu NACEP National Conference

More information

Administrative - Master Syllabus COVER SHEET

Administrative - Master Syllabus COVER SHEET Administrative - Master Syllabus COVER SHEET Purpose: It is the intention of this to provide a general description of the course, outline the required elements of the course and to lay the foundation for

More information

COURSE SYLLABUS Pre-Calculus A/B Last Modified: April 2015

COURSE SYLLABUS Pre-Calculus A/B Last Modified: April 2015 COURSE SYLLABUS Pre-Calculus A/B Last Modified: April 2015 Course Description: In this year-long Pre-Calculus course, students will cover topics over a two semester period (as designated by A and B sections).

More information

MATH 2 Course Syllabus Spring Semester 2007 Instructor: Brian Rodas

MATH 2 Course Syllabus Spring Semester 2007 Instructor: Brian Rodas MATH 2 Course Syllabus Spring Semester 2007 Instructor: Brian Rodas Class Room and Time: MC83 MTWTh 2:15pm-3:20pm Office Room: MC38 Office Phone: (310)434-8673 E-mail: rodas brian@smc.edu Office Hours:

More information

Georgia Department of Education Kathy Cox, State Superintendent of Schools 7/19/2005 All Rights Reserved 1

Georgia Department of Education Kathy Cox, State Superintendent of Schools 7/19/2005 All Rights Reserved 1 Accelerated Mathematics 3 This is a course in precalculus and statistics, designed to prepare students to take AB or BC Advanced Placement Calculus. It includes rational, circular trigonometric, and inverse

More information

Birmingham City Schools

Birmingham City Schools Activity 1 Classroom Rules & Regulations Policies & Procedures Course Curriculum / Syllabus LTF Activity: Interval Notation (Precal) 2 Pre-Assessment 3 & 4 1.2 Functions and Their Properties 5 LTF Activity:

More information

NEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS

NEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS NEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS TEST DESIGN AND FRAMEWORK September 2014 Authorized for Distribution by the New York State Education Department This test design and framework document

More information

Algebra 1 Course Title

Algebra 1 Course Title Algebra 1 Course Title Course- wide 1. What patterns and methods are being used? Course- wide 1. Students will be adept at solving and graphing linear and quadratic equations 2. Students will be adept

More information

MATH. ALGEBRA I HONORS 9 th Grade 12003200 ALGEBRA I HONORS

MATH. ALGEBRA I HONORS 9 th Grade 12003200 ALGEBRA I HONORS * Students who scored a Level 3 or above on the Florida Assessment Test Math Florida Standards (FSA-MAFS) are strongly encouraged to make Advanced Placement and/or dual enrollment courses their first choices

More information

http://www.aleks.com Access Code: RVAE4-EGKVN Financial Aid Code: 6A9DB-DEE3B-74F51-57304

http://www.aleks.com Access Code: RVAE4-EGKVN Financial Aid Code: 6A9DB-DEE3B-74F51-57304 MATH 1340.04 College Algebra Location: MAGC 2.202 Meeting day(s): TR 7:45a 9:00a, Instructor Information Name: Virgil Pierce Email: piercevu@utpa.edu Phone: 665.3535 Teaching Assistant Name: Indalecio

More information

Pre-Calculus Semester 1 Course Syllabus

Pre-Calculus Semester 1 Course Syllabus Pre-Calculus Semester 1 Course Syllabus The Plano ISD eschool Mission is to create a borderless classroom based on a positive student-teacher relationship that fosters independent, innovative critical

More information

Mathematics Curriculum Guide Precalculus 2015-16. Page 1 of 12

Mathematics Curriculum Guide Precalculus 2015-16. Page 1 of 12 Mathematics Curriculum Guide Precalculus 2015-16 Page 1 of 12 Paramount Unified School District High School Math Curriculum Guides 2015 16 In 2015 16, PUSD will continue to implement the Standards by providing

More information

Algebra 2 Chapter 1 Vocabulary. identity - A statement that equates two equivalent expressions.

Algebra 2 Chapter 1 Vocabulary. identity - A statement that equates two equivalent expressions. Chapter 1 Vocabulary identity - A statement that equates two equivalent expressions. verbal model- A word equation that represents a real-life problem. algebraic expression - An expression with variables.

More information

MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education)

MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education) MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education) Accurately add, subtract, multiply, and divide whole numbers, integers,

More information

MATH BOOK OF PROBLEMS SERIES. New from Pearson Custom Publishing!

MATH BOOK OF PROBLEMS SERIES. New from Pearson Custom Publishing! MATH BOOK OF PROBLEMS SERIES New from Pearson Custom Publishing! The Math Book of Problems Series is a database of math problems for the following courses: Pre-algebra Algebra Pre-calculus Calculus Statistics

More information

Prerequisites: TSI Math Complete and high school Algebra II and geometry or MATH 0303.

Prerequisites: TSI Math Complete and high school Algebra II and geometry or MATH 0303. Course Syllabus Math 1314 College Algebra Revision Date: 8-21-15 Catalog Description: In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems

More information

HIGH SCHOOL: GEOMETRY (Page 1 of 4)

HIGH SCHOOL: GEOMETRY (Page 1 of 4) HIGH SCHOOL: GEOMETRY (Page 1 of 4) Geometry is a complete college preparatory course of plane and solid geometry. It is recommended that there be a strand of algebra review woven throughout the course

More information

Syllabus MAC1147 Pre-Calculus Algebra and Trigonometry

Syllabus MAC1147 Pre-Calculus Algebra and Trigonometry Syllabus MAC1147 Pre-Calculus Algebra and Trigonometry Term: SUMMER B 2009-3 Reference #: 569147 Instructor s Name: Lun-Yi Tsai E-mail: ltsai@mdc.edu Office: Math Lab, Room # 2223 Mail-box: Math Lab, Room

More information

Algebra 2 Year-at-a-Glance Leander ISD 2007-08. 1st Six Weeks 2nd Six Weeks 3rd Six Weeks 4th Six Weeks 5th Six Weeks 6th Six Weeks

Algebra 2 Year-at-a-Glance Leander ISD 2007-08. 1st Six Weeks 2nd Six Weeks 3rd Six Weeks 4th Six Weeks 5th Six Weeks 6th Six Weeks Algebra 2 Year-at-a-Glance Leander ISD 2007-08 1st Six Weeks 2nd Six Weeks 3rd Six Weeks 4th Six Weeks 5th Six Weeks 6th Six Weeks Essential Unit of Study 6 weeks 3 weeks 3 weeks 6 weeks 3 weeks 3 weeks

More information

Math Course Descriptions & Student Learning Outcomes

Math Course Descriptions & Student Learning Outcomes Math Course Descriptions & Student Learning Outcomes Table of Contents MAC 100: Business Math... 1 MAC 101: Technical Math... 3 MA 090: Basic Math... 4 MA 095: Introductory Algebra... 5 MA 098: Intermediate

More information

Algebra I Credit Recovery

Algebra I Credit Recovery Algebra I Credit Recovery COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics,

More information

Florida Math for College Readiness

Florida Math for College Readiness Core Florida Math for College Readiness Florida Math for College Readiness provides a fourth-year math curriculum focused on developing the mastery of skills identified as critical to postsecondary readiness

More information

Math 131 College Algebra Fall 2015

Math 131 College Algebra Fall 2015 Math 131 College Algebra Fall 2015 Instructor's Name: Office Location: Office Hours: Office Phone: E-mail: Course Description This course has a minimal review of algebraic skills followed by a study of

More information

Curriculum Map Precalculus Saugus High School Saugus Public Schools

Curriculum Map Precalculus Saugus High School Saugus Public Schools Curriculum Map Precalculus Saugus High School Saugus Public Schools The Standards for Mathematical Practice The Standards for Mathematical Practice describe varieties of expertise that mathematics educators

More information

Math 1B Syllabus. Course Description. Text. Course Assignments. Exams. Course Grade

Math 1B Syllabus. Course Description. Text. Course Assignments. Exams. Course Grade Course Description Math 1B Syllabus This Pre-Calculus course is designed to prepare students for a Calculus course. This course is taught so that students will acquire a solid foundation in algebra and

More information

March 2013 Mathcrnatics MATH 92 College Algebra Kerin Keys. Dcnnis. David Yec' Lscture: 5 we ekly (87.5 total)

March 2013 Mathcrnatics MATH 92 College Algebra Kerin Keys. Dcnnis. David Yec' Lscture: 5 we ekly (87.5 total) City College of San Irrancisco Course Outline of Itecord I. GENERAI- DESCRIPI'ION A. Approval Date B. Departrnent C. Course Number D. Course Title E. Course Outline Preparer(s) March 2013 Mathcrnatics

More information

PCHS ALGEBRA PLACEMENT TEST

PCHS ALGEBRA PLACEMENT TEST MATHEMATICS Students must pass all math courses with a C or better to advance to the next math level. Only classes passed with a C or better will count towards meeting college entrance requirements. If

More information

KEANSBURG SCHOOL DISTRICT KEANSBURG HIGH SCHOOL Mathematics Department. HSPA 10 Curriculum. September 2007

KEANSBURG SCHOOL DISTRICT KEANSBURG HIGH SCHOOL Mathematics Department. HSPA 10 Curriculum. September 2007 KEANSBURG HIGH SCHOOL Mathematics Department HSPA 10 Curriculum September 2007 Written by: Karen Egan Mathematics Supervisor: Ann Gagliardi 7 days Sample and Display Data (Chapter 1 pp. 4-47) Surveys and

More information

PHILOSOPHY OF THE MATHEMATICS DEPARTMENT

PHILOSOPHY OF THE MATHEMATICS DEPARTMENT PHILOSOPHY OF THE MATHEMATICS DEPARTMENT The Lemont High School Mathematics Department believes that students should develop the following characteristics: Understanding of concepts and procedures Building

More information

Prentice Hall Algebra 2 2011 Correlated to: Colorado P-12 Academic Standards for High School Mathematics, Adopted 12/2009

Prentice Hall Algebra 2 2011 Correlated to: Colorado P-12 Academic Standards for High School Mathematics, Adopted 12/2009 Content Area: Mathematics Grade Level Expectations: High School Standard: Number Sense, Properties, and Operations Understand the structure and properties of our number system. At their most basic level

More information

What are the place values to the left of the decimal point and their associated powers of ten?

What are the place values to the left of the decimal point and their associated powers of ten? The verbal answers to all of the following questions should be memorized before completion of algebra. Answers that are not memorized will hinder your ability to succeed in geometry and algebra. (Everything

More information

CRLS Mathematics Department Algebra I Curriculum Map/Pacing Guide

CRLS Mathematics Department Algebra I Curriculum Map/Pacing Guide Curriculum Map/Pacing Guide page 1 of 14 Quarter I start (CP & HN) 170 96 Unit 1: Number Sense and Operations 24 11 Totals Always Include 2 blocks for Review & Test Operating with Real Numbers: How are

More information

Vocabulary Words and Definitions for Algebra

Vocabulary Words and Definitions for Algebra Name: Period: Vocabulary Words and s for Algebra Absolute Value Additive Inverse Algebraic Expression Ascending Order Associative Property Axis of Symmetry Base Binomial Coefficient Combine Like Terms

More information

Advanced Math Study Guide

Advanced Math Study Guide Advanced Math Study Guide Topic Finding Triangle Area (Ls. 96) using A=½ bc sin A (uses Law of Sines, Law of Cosines) Law of Cosines, Law of Cosines (Ls. 81, Ls. 72) Finding Area & Perimeters of Regular

More information

Math Placement Test Study Guide. 2. The test consists entirely of multiple choice questions, each with five choices.

Math Placement Test Study Guide. 2. The test consists entirely of multiple choice questions, each with five choices. Math Placement Test Study Guide General Characteristics of the Test 1. All items are to be completed by all students. The items are roughly ordered from elementary to advanced. The expectation is that

More information

Polynomial Operations and Factoring

Polynomial Operations and Factoring Algebra 1, Quarter 4, Unit 4.1 Polynomial Operations and Factoring Overview Number of instructional days: 15 (1 day = 45 60 minutes) Content to be learned Identify terms, coefficients, and degree of polynomials.

More information

Algebra II and Trigonometry

Algebra II and Trigonometry Algebra II and Trigonometry Textbooks: Algebra 2: California Publisher: McDougal Li@ell/Houghton Mifflin (2006 EdiHon) ISBN- 13: 978-0618811816 Course descriphon: Algebra II complements and expands the

More information

Course Name: College Algebra Course Number: Math 1513 Semester: Fall 2015

Course Name: College Algebra Course Number: Math 1513 Semester: Fall 2015 Course Name: College Algebra Course Number: Math 1513 Semester: Fall 2015 Instructor s Name: Ricky Streight Hours Credit: 3 Office Phone: 945-6794 Office Hours: Check http://www.osuokc.edu/rickyws/ for

More information

Appendix 3 IB Diploma Programme Course Outlines

Appendix 3 IB Diploma Programme Course Outlines Appendix 3 IB Diploma Programme Course Outlines The following points should be addressed when preparing course outlines for each IB Diploma Programme subject to be taught. Please be sure to use IBO nomenclature

More information

LAKE ELSINORE UNIFIED SCHOOL DISTRICT

LAKE ELSINORE UNIFIED SCHOOL DISTRICT LAKE ELSINORE UNIFIED SCHOOL DISTRICT Title: PLATO Algebra 1-Semester 2 Grade Level: 10-12 Department: Mathematics Credit: 5 Prerequisite: Letter grade of F and/or N/C in Algebra 1, Semester 2 Course Description:

More information

Onderwerp uit Pre-calculus Terug te vinden onder of onder par. hfdst. Fundamentals 1. Real numbers 1.1. Exponents en Radicals 1.2

Onderwerp uit Pre-calculus Terug te vinden onder of onder par. hfdst. Fundamentals 1. Real numbers 1.1. Exponents en Radicals 1.2 Onderwerp uit Pre-calculus Terug te vinden onder of onder par. hfdst. Fundamentals 1 Real numbers 1.1 Real Numbers 1.1.6 Reële getallen Properties of Real Numbers 1.1.6 Reële getallen The Real Line 1.1.6

More information

Dear Accelerated Pre-Calculus Student:

Dear Accelerated Pre-Calculus Student: Dear Accelerated Pre-Calculus Student: I am very excited that you have decided to take this course in the upcoming school year! This is a fastpaced, college-preparatory mathematics course that will also

More information

X On record with the USOE.

X On record with the USOE. Textbook Alignment to the Utah Core Algebra 2 Name of Company and Individual Conducting Alignment: Chris McHugh, McHugh Inc. A Credential Sheet has been completed on the above company/evaluator and is

More information

Algebra II. Weeks 1-3 TEKS

Algebra II. Weeks 1-3 TEKS Algebra II Pacing Guide Weeks 1-3: Equations and Inequalities: Solve Linear Equations, Solve Linear Inequalities, Solve Absolute Value Equations and Inequalities. Weeks 4-6: Linear Equations and Functions:

More information

AMSCO S Ann Xavier Gantert

AMSCO S Ann Xavier Gantert AMSCO S Integrated ALGEBRA 1 Ann Xavier Gantert AMSCO SCHOOL PUBLICATIONS, INC. 315 HUDSON STREET, NEW YORK, N.Y. 10013 Dedication This book is dedicated to Edward Keenan who left a profound influence

More information

Lyman Memorial High School. Pre-Calculus Prerequisite Packet. Name:

Lyman Memorial High School. Pre-Calculus Prerequisite Packet. Name: Lyman Memorial High School Pre-Calculus Prerequisite Packet Name: Dear Pre-Calculus Students, Within this packet you will find mathematical concepts and skills covered in Algebra I, II and Geometry. These

More information

TExMaT I Texas Examinations for Master Teachers. Preparation Manual. 089 Master Mathematics Teacher 8 12

TExMaT I Texas Examinations for Master Teachers. Preparation Manual. 089 Master Mathematics Teacher 8 12 TExMaT I Texas Examinations for Master Teachers Preparation Manual 089 Master Mathematics Teacher 8 12 Copyright 2006 by the Texas Education Agency (TEA). All rights reserved. The Texas Education Agency

More information

Understanding Basic Calculus

Understanding Basic Calculus Understanding Basic Calculus S.K. Chung Dedicated to all the people who have helped me in my life. i Preface This book is a revised and expanded version of the lecture notes for Basic Calculus and other

More information

Mathematics (MAT) MAT 061 Basic Euclidean Geometry 3 Hours. MAT 051 Pre-Algebra 4 Hours

Mathematics (MAT) MAT 061 Basic Euclidean Geometry 3 Hours. MAT 051 Pre-Algebra 4 Hours MAT 051 Pre-Algebra Mathematics (MAT) MAT 051 is designed as a review of the basic operations of arithmetic and an introduction to algebra. The student must earn a grade of C or in order to enroll in MAT

More information

HIBBING COMMUNITY COLLEGE COURSE OUTLINE

HIBBING COMMUNITY COLLEGE COURSE OUTLINE HIBBING COMMUNITY COLLEGE COURSE OUTLINE COURSE NUMBER & TITLE: - Beginning Algebra CREDITS: 4 (Lec 4 / Lab 0) PREREQUISITES: MATH 0920: Fundamental Mathematics with a grade of C or better, Placement Exam,

More information

MAT 151 College Algebra and MAT 182 Trigonometry Course Syllabus Spring 2014

MAT 151 College Algebra and MAT 182 Trigonometry Course Syllabus Spring 2014 PLEASE READ THIS SYLLABUS CAREFULLY. IT IS THE POLICIES BY WHICH YOU MUST ABIDE FOR THIS CLASS. Instructor Information MAT 151 College Algebra and MAT 182 Trigonometry Course Syllabus Spring 2014 Instructor

More information

2312 test 2 Fall 2010 Form B

2312 test 2 Fall 2010 Form B 2312 test 2 Fall 2010 Form B 1. Write the slope-intercept form of the equation of the line through the given point perpendicular to the given lin point: ( 7, 8) line: 9x 45y = 9 2. Evaluate the function

More information

Course Name: College Algebra - MML Course Number: Math 1513 Semester: Fall 2011. Instructor s Name: Hours Credit: 3

Course Name: College Algebra - MML Course Number: Math 1513 Semester: Fall 2011. Instructor s Name: Hours Credit: 3 Course Name: College Algebra - MML Course Number: Math 1513 Semester: Fall 2011 Instructor s Name: Hours Credit: 3 Office Phone: Office Hours: I. Course Description: Quadratic equations, functions and

More information

CORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREER-READY FOUNDATIONS IN ALGEBRA

CORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREER-READY FOUNDATIONS IN ALGEBRA We Can Early Learning Curriculum PreK Grades 8 12 INSIDE ALGEBRA, GRADES 8 12 CORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREER-READY FOUNDATIONS IN ALGEBRA April 2016 www.voyagersopris.com Mathematical

More information

HARRISBURG AREA COMMUNITY COLLEGE VIRTUAL CAMPUS. COURSE: Math 119 Online ---- Pre-calculus Spring 2015 CRN: 34269

HARRISBURG AREA COMMUNITY COLLEGE VIRTUAL CAMPUS. COURSE: Math 119 Online ---- Pre-calculus Spring 2015 CRN: 34269 HARRISBURG AREA COMMUNITY COLLEGE VIRTUAL CAMPUS COURSE: Math 119 Online ---- Pre-calculus Spring 2015 CRN: 34269 INSTRUCTOR: Ricki Alexander Office: York Leader 108B Phone: 717-801-3303 Email: rlalexan@hacc.edu

More information

Prentice Hall MyMathLab Algebra 1, 2011

Prentice Hall MyMathLab Algebra 1, 2011 Prentice Hall MyMathLab Algebra 1, 2011 C O R R E L A T E D T O Tennessee Mathematics Standards, 2009-2010 Implementation, Algebra I Tennessee Mathematics Standards 2009-2010 Implementation Algebra I 3102

More information

Algebra Unpacked Content For the new Common Core standards that will be effective in all North Carolina schools in the 2012-13 school year.

Algebra Unpacked Content For the new Common Core standards that will be effective in all North Carolina schools in the 2012-13 school year. This document is designed to help North Carolina educators teach the Common Core (Standard Course of Study). NCDPI staff are continually updating and improving these tools to better serve teachers. Algebra

More information

Algebra 1. Curriculum Map

Algebra 1. Curriculum Map Algebra 1 Curriculum Map Table of Contents Unit 1: Expressions and Unit 2: Linear Unit 3: Representing Linear Unit 4: Linear Inequalities Unit 5: Systems of Linear Unit 6: Polynomials Unit 7: Factoring

More information

Sequence of Mathematics Courses

Sequence of Mathematics Courses Sequence of ematics Courses Where do I begin? Associates Degree and Non-transferable Courses (For math course below pre-algebra, see the Learning Skills section of the catalog) MATH M09 PRE-ALGEBRA 3 UNITS

More information

MAT 113-701 College Algebra

MAT 113-701 College Algebra MAT 113-701 College Algebra Instructor: Dr. Kamal Hennayake E-mail: kamalhennayake@skipjack.chesapeake.edu I check my email regularly. You may use the above email or Course Email. If you have a question

More information

ANGELO STATE UNIVERSITY/GLEN ROSE HIGH SCHOOL DUAL CREDIT ALGEBRA II AND COLLEGE ALGEBRA/MATH 1302 2015-2016

ANGELO STATE UNIVERSITY/GLEN ROSE HIGH SCHOOL DUAL CREDIT ALGEBRA II AND COLLEGE ALGEBRA/MATH 1302 2015-2016 ANGELO STATE UNIVERSITY/GLEN ROSE HIGH SCHOOL DUAL CREDIT ALGEBRA II AND COLLEGE ALGEBRA/MATH 1302 2015-2016 I. INSTRUCTOR MRS. JAMI LOVELADY Office: 504 Tutorial Hours: Mornings Monday through Friday

More information

SAT Subject Math Level 2 Facts & Formulas

SAT Subject Math Level 2 Facts & Formulas Numbers, Sequences, Factors Integers:..., -3, -2, -1, 0, 1, 2, 3,... Reals: integers plus fractions, decimals, and irrationals ( 2, 3, π, etc.) Order Of Operations: Arithmetic Sequences: PEMDAS (Parentheses

More information

a. all of the above b. none of the above c. B, C, D, and F d. C, D, F e. C only f. C and F

a. all of the above b. none of the above c. B, C, D, and F d. C, D, F e. C only f. C and F FINAL REVIEW WORKSHEET COLLEGE ALGEBRA Chapter 1. 1. Given the following equations, which are functions? (A) y 2 = 1 x 2 (B) y = 9 (C) y = x 3 5x (D) 5x + 2y = 10 (E) y = ± 1 2x (F) y = 3 x + 5 a. all

More information

COURSE OUTLINE FOR MATH 115. Instructor: Rich Tschritter, Ewing 268. Text: Precalculus, Sixth Edition, by Larson & Hostetler CHAPTER A: APPENDIX A

COURSE OUTLINE FOR MATH 115. Instructor: Rich Tschritter, Ewing 268. Text: Precalculus, Sixth Edition, by Larson & Hostetler CHAPTER A: APPENDIX A COURSE OUTLINE FOR MATH 115 Instructor: Rich Tschritter, Ewing 268 Text: Precalculus, Sixth Edition, by Larson & Hostetler CHAPTER A: APPENDIX A 1 A.4 2 Rational Expressions 2 A.5 1 Solving Equations 3

More information

Algebra I Vocabulary Cards

Algebra I Vocabulary Cards Algebra I Vocabulary Cards Table of Contents Expressions and Operations Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Absolute Value Order of Operations Expression

More information

04 Mathematics CO-SG-FLD004-03. Program for Licensing Assessments for Colorado Educators

04 Mathematics CO-SG-FLD004-03. Program for Licensing Assessments for Colorado Educators 04 Mathematics CO-SG-FLD004-03 Program for Licensing Assessments for Colorado Educators Readers should be advised that this study guide, including many of the excerpts used herein, is protected by federal

More information

Mathematics Georgia Performance Standards

Mathematics Georgia Performance Standards Mathematics Georgia Performance Standards K-12 Mathematics Introduction The Georgia Mathematics Curriculum focuses on actively engaging the students in the development of mathematical understanding by

More information

Extra Credit Assignment Lesson plan. The following assignment is optional and can be completed to receive up to 5 points on a previously taken exam.

Extra Credit Assignment Lesson plan. The following assignment is optional and can be completed to receive up to 5 points on a previously taken exam. Extra Credit Assignment Lesson plan The following assignment is optional and can be completed to receive up to 5 points on a previously taken exam. The extra credit assignment is to create a typed up lesson

More information

Successful completion of Math 7 or Algebra Readiness along with teacher recommendation.

Successful completion of Math 7 or Algebra Readiness along with teacher recommendation. MODESTO CITY SCHOOLS COURSE OUTLINE COURSE TITLE:... Basic Algebra COURSE NUMBER:... RECOMMENDED GRADE LEVEL:... 8-11 ABILITY LEVEL:... Basic DURATION:... 1 year CREDIT:... 5.0 per semester MEETS GRADUATION

More information

DELAWARE MATHEMATICS CONTENT STANDARDS GRADES 9-10. PAGE(S) WHERE TAUGHT (If submission is not a book, cite appropriate location(s))

DELAWARE MATHEMATICS CONTENT STANDARDS GRADES 9-10. PAGE(S) WHERE TAUGHT (If submission is not a book, cite appropriate location(s)) Prentice Hall University of Chicago School Mathematics Project: Advanced Algebra 2002 Delaware Mathematics Content Standards (Grades 9-10) STANDARD #1 Students will develop their ability to SOLVE PROBLEMS

More information

MAT 121 Intermediate Algebra, MAT 151 College Algebra, and MAT 182 - Trigonometry Course Syllabus Spring 2011

MAT 121 Intermediate Algebra, MAT 151 College Algebra, and MAT 182 - Trigonometry Course Syllabus Spring 2011 MAT 121 Intermediate Algebra, MAT 151 College Algebra, and MAT 182 - Trigonometry Course Syllabus Spring 2011 Information Vital To Success In This Class Please Read Carefully This class requires 9 to 15

More information

Background Knowledge

Background Knowledge Background Knowledge Precalculus GEOMETRY Successful completion of the course with a grade of B or higher Solid understanding of: Right Triangles Congruence Theorems Basic Trigonometry Basic understanding

More information

Math 1. Month Essential Questions Concepts/Skills/Standards Content Assessment Areas of Interaction

Math 1. Month Essential Questions Concepts/Skills/Standards Content Assessment Areas of Interaction Binghamton High School Rev.9/21/05 Math 1 September What is the unknown? Model relationships by using Fundamental skills of 2005 variables as a shorthand way Algebra Why do we use variables? What is a

More information

Algebra II New Summit School High School Diploma Program

Algebra II New Summit School High School Diploma Program Syllabus Course Description: Algebra II is a two semester course. Students completing this course will earn 1.0 unit upon completion. Required Materials: 1. Student Text Glencoe Algebra 2: Integration,

More information

The Australian Curriculum Mathematics

The Australian Curriculum Mathematics The Australian Curriculum Mathematics Mathematics ACARA The Australian Curriculum Number Algebra Number place value Fractions decimals Real numbers Foundation Year Year 1 Year 2 Year 3 Year 4 Year 5 Year

More information

Expression. Variable Equation Polynomial Monomial Add. Area. Volume Surface Space Length Width. Probability. Chance Random Likely Possibility Odds

Expression. Variable Equation Polynomial Monomial Add. Area. Volume Surface Space Length Width. Probability. Chance Random Likely Possibility Odds Isosceles Triangle Congruent Leg Side Expression Equation Polynomial Monomial Radical Square Root Check Times Itself Function Relation One Domain Range Area Volume Surface Space Length Width Quantitative

More information

RELEASED. Student Booklet. Precalculus. Fall 2014 NC Final Exam. Released Items

RELEASED. Student Booklet. Precalculus. Fall 2014 NC Final Exam. Released Items Released Items Public Schools of North arolina State oard of Education epartment of Public Instruction Raleigh, North arolina 27699-6314 Fall 2014 N Final Exam Precalculus Student ooklet opyright 2014

More information

HARRISBURG AREA COMMUNITY COLLEGE VIRTUAL CAMPUS. COURSE: Math 119 Online ---- Pre-calculus Summer 2015 CRN: 4146

HARRISBURG AREA COMMUNITY COLLEGE VIRTUAL CAMPUS. COURSE: Math 119 Online ---- Pre-calculus Summer 2015 CRN: 4146 HARRISBURG AREA COMMUNITY COLLEGE VIRTUAL CAMPUS COURSE: Math 119 Online ---- Pre-calculus Summer 2015 CRN: 4146 INSTRUCTOR: Ricki Alexander Office: York Leader 108B Phone: 717-801-3303 Email: rlalexan@hacc.edu

More information

Science, Technology, Engineering and Math

Science, Technology, Engineering and Math School: Course Number: Course Name: Credit Hours: Length of Course: Prerequisite: Science, Technology, Engineering and Math MATH-111 College Trigonometry 3 Credit Hours 16 weeks While there are no pre-requisites

More information

SYLLABUS MAT 1313 College Algebra

SYLLABUS MAT 1313 College Algebra SYLLABUS MAT 1313 College Algebra I. Instructor Information Instructor s name: Insert Here Location of instructor s office: Insert Here Office phone number: Insert Here Email address: Insert Here Office

More information

MATH 60 NOTEBOOK CERTIFICATIONS

MATH 60 NOTEBOOK CERTIFICATIONS MATH 60 NOTEBOOK CERTIFICATIONS Chapter #1: Integers and Real Numbers 1.1a 1.1b 1.2 1.3 1.4 1.8 Chapter #2: Algebraic Expressions, Linear Equations, and Applications 2.1a 2.1b 2.1c 2.2 2.3a 2.3b 2.4 2.5

More information

Glencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, 5-8 8-4, 8-7 1-6, 4-9

Glencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, 5-8 8-4, 8-7 1-6, 4-9 Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 6-8 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,

More information

Graphing Trigonometric Skills

Graphing Trigonometric Skills Name Period Date Show all work neatly on separate paper. (You may use both sides of your paper.) Problems should be labeled clearly. If I can t find a problem, I ll assume it s not there, so USE THE TEMPLATE

More information

Please start the slide show from the beginning to use links. Click here for active links to various courses

Please start the slide show from the beginning to use links. Click here for active links to various courses Please start the slide show from the beginning to use links Click here for active links to various courses CLICK ON ANY COURSE BELOW TO SEE DESCRIPTION AND PREREQUISITES To see the course sequence chart

More information

Math Handbook of Formulas, Processes and Tricks. Algebra and PreCalculus

Math Handbook of Formulas, Processes and Tricks. Algebra and PreCalculus Math Handbook of Formulas, Processes and Tricks (www.mathguy.us) Algebra and PreCalculus Prepared by: Earl L. Whitney, FSA, MAAA Version 2.8 April 19, 2016 Copyright 2008 16, Earl Whitney, Reno NV. All

More information

NEOSHO COUNTY COMMUNITY COLLEGE MASTER COURSE SYLLABUS

NEOSHO COUNTY COMMUNITY COLLEGE MASTER COURSE SYLLABUS NEOSHO COUNTY COMMUNITY COLLEGE MASTER COURSE SYLLABUS COURSE IDENTIFICATION Course Code/Number: MATH 113 Course Title: College Algebra Division: Applied Science (AS) Liberal Arts (LA) Workforce Development

More information

Course Outlines. 1. Name of the Course: Algebra I (Standard, College Prep, Honors) Course Description: ALGEBRA I STANDARD (1 Credit)

Course Outlines. 1. Name of the Course: Algebra I (Standard, College Prep, Honors) Course Description: ALGEBRA I STANDARD (1 Credit) Course Outlines 1. Name of the Course: Algebra I (Standard, College Prep, Honors) Course Description: ALGEBRA I STANDARD (1 Credit) This course will cover Algebra I concepts such as algebra as a language,

More information

Current Standard: Mathematical Concepts and Applications Shape, Space, and Measurement- Primary

Current Standard: Mathematical Concepts and Applications Shape, Space, and Measurement- Primary Shape, Space, and Measurement- Primary A student shall apply concepts of shape, space, and measurement to solve problems involving two- and three-dimensional shapes by demonstrating an understanding of:

More information

Creating, Solving, and Graphing Systems of Linear Equations and Linear Inequalities

Creating, Solving, and Graphing Systems of Linear Equations and Linear Inequalities Algebra 1, Quarter 2, Unit 2.1 Creating, Solving, and Graphing Systems of Linear Equations and Linear Inequalities Overview Number of instructional days: 15 (1 day = 45 60 minutes) Content to be learned

More information