# Mathematics Curriculum Document for Pre-Calculus

Save this PDF as:

Size: px
Start display at page: ## Transcription

1 Unit Title: Polynomial and Rational Functions Time Frame: 11 blocks Six Weeks: 2 nd & 3 rd Unit Number: 4 Curriculum Enduring Understandings (Big Ideas): Graphs provide a visual representation of relationships among data. Representing a situation in multiple ways leads to better understanding and more effective communication. Patterns are mathematical in nature and allow us to make predictions. There are many ways to solve problems, but some are more efficient than others. The student will know: General shapes and end-behavior of polynomial functions Limitations of technology as it relates to the behavior of functions around discontinuities The effects of multiple zeros on the graph of a polynomial The real zeros are the x-axis intercepts i is a symbol that represents the solution to a problem All operations on complex numbers are closed Complex and irrational zeros must appear in conjugate pairs Hierarchy of number sets All polynomials are smooth and continuous everywhere The student will be able to: Determine the key features of polynomial functions using zeros, leading coefficients, and degree Determine the key features of rational functions using zeros, asymptotes, and undefined values on the domain Sketch/graph polynomial and rational functions including key features such as zeros, maxima, minima, domain/range intervals, end-behavior, asymptotes, and holes Apply long division and synthetic division to solve polynomials Apply/use the Factor Theorem, Remainder Theorem, and Rational Roots Theorem to solve polynomials Perform operations on complex numbers including addition, subtraction, multiplication, and division Find conjugates including complex conjugates and irrational conjugates Unit Title: Polynomial and Rational Functions Unit Number 4 Page 1 of 5

2 Essential Questions: What predictions can be made from characteristics of the relationship? What benefits do visual representations provide? Why do we explore different solution methods? What are the benefits and shortcomings of the different solution methods? Student Understanding (student friendly TEKS): I can graph polynomial and rational functions. (taken from PC.2.F) I can determine key features of polynomial and rational functions. (taken from PC.2.I) I can determine the end-behavior of polynomial and rational functions. (taken from PC.2.J) I can determine the behavior around asymptotes of rational functions. (taken from PC.2.K) I can determine the various types of discontinuities. (taken from PC.2.L) I know the limitations of technology in producing graphs. (taken from PC.2.L) I can describe the behavior of the graph around discontinuities. (taken from PC.2.M) I can analyze situations modeled by functions to solve problems. (taken from PC.2.N) I can solve polynomial equations using a variety of techniques. (taken from PC.5.J) I can solve polynomial inequalities using a variety of techniques. (taken from PC.5.K) I can write the solution set of polynomial inequalities in interval notation. (taken from PC.5.K) I can solve rational inequalities using a variety of techniques. (taken from PC.5.L) I can write the solution set of rational inequalities using interval notation. (taken from PC.5.L) Solve polynomial inequalities by sketching and/or developing a sign chart and write the solution set in interval notation Solve rational inequalities by sketching and/or developing a sign chart and write the solution set in interval notation Identify all zeros of a polynomial function including complex zeros Determine various types of discontinuities as they relate to functions Analyze situations modeled by rational and polynomial functions to solve problems Rewrite rational equations as partial fractions (EXTENSION) Unit Title: Polynomial and Rational Functions Unit Number 4 Page 2 of 5

3 I can apply math in everyday life. (taken from PC.1.A) I can develop a problem solving model and justify my solutions. (taken from PC.1.B) I can select appropriate tools and techniques to solve problems. (taken from PC.1.C) I can communicate using appropriate mathematical language. (taken from PC.1.D) I can use various representations to communicate mathematical concepts. (taken from PC.1.E) I can analyze relationships to connect and communicate mathematical ideas. (taken from PC.1.F) I can use precise mathematical language in both written and oral communication. (taken from PC.1.G) TEKS: (PC.2) Functions. The student uses process standards in mathematics to explore, describe, and analyze the attributes of functions. The student makes connections between multiple representations of functions and algebraically constructs new functions. The student analyzes and uses functions to model real-world problems. The student is expected to: (F) graph exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including step functions; (I) determine and analyze the key features of exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including step functions such as domain, range, symmetry, relative maximum, relative minimum, zeros, asymptotes, and intervals over which the function is increasing or decreasing; (J) analyze and describe end behavior of functions, including exponential, logarithmic, rational, polynomial, and power functions, using infinity notation to communicate this characteristic in mathematical and real-world problems; (K) analyze characteristics of rational functions and the behavior of the function around the asymptotes, including horizontal, vertical, and oblique asymptotes; (L) determine various types of discontinuities in the interval (-, ) as they relate to functions and explore the limitations of the graphing calculator as it relates to the behavior of the function around discontinuities; (M) describe the left-sided behavior and the right-sided behavior of the graph of a function around discontinuities; (N) analyze situations modeled by functions, including exponential, logarithmic, rational, polynomial, and power functions, to solve real-world problems. (PC.5) Algebraic reasoning. The student uses process standards in mathematics to evaluate expressions, describe patterns, formulate models, and solve equations and inequalities using properties, procedures, or algorithms. The student is expected to: (J) solve polynomial equations with real coefficients by applying a variety of techniques in mathematical and real-world problems; (K) solve polynomial inequalities with real coefficients by applying a variety of techniques and write the solution set of the polynomial inequality in interval notation in mathematical and real-world problems; (L) solve rational inequalities with real coefficients by applying a variety of techniques and write the solution set of the rational inequality in interval notation in mathematical and real-world problems. Unit Title: Polynomial and Rational Functions Unit Number 4 Page 3 of 5

4 (PC.1) Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to: (A) apply mathematics to problems arising in everyday life, society, and the workplace; (B) use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution; (C) select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems. (D) communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate; (E) create and use representations to organize, record, and communicate mathematical ideas; (F) analyze mathematical relationships to connect and communicate mathematical ideas; and (G) display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication. Targeted College Readiness Standards: IA1-2, IB1, IIA1, IIB1, IIC1-2, IID1, VIIA2, VIIB1, VIIC1, VIIIA1-5, VIIIB1-2, VIIIC1, IXA1-3, IXB1-2, XA1, XB1-2 Targeted ELPs: 1A, 1C, 1D, 1E, 1F, 1H, 2C, 2D, 2E, 2G, 2I, 3D, 3E, 3F, 3G, 3H, 3I, 3J, 4C, 4D, 4F, 4G Academic Vocabulary: Language of Instruction: Quadratic Cubic Higher degree End behavior Leading coefficient Multiplicity with respect to zero Long division Synthetic division Rational roots Complex numbers Complex conjugates Irrational conjugates Conjugates Partial fractions Unit Title: Polynomial and Rational Functions Unit Number 4 Page 4 of 5

5 Instruction Instructional Resources: Textbook: Chapter , & 7.4(extension) Mathematics Inequality Rational function Polynomial function Zeros Factor Roots Remainder Evaluate Value of a function Non-linear inequality Undefined Conjugate pairs Asymptote Linear factorization Non-factorable quadratic Technology: Exemplar Lessons: Assessment Student self-assessment & reflection: Career Connections/Real Life Application: Research Based Instructional Strategies: Acceptable evidence or artifacts: Performance Task Unit 4a Performance Task Unit 4b Unit Title: Polynomial and Rational Functions Unit Number 4 Page 5 of 5

### Mathematics Curriculum Document for Algebra 2 Unit Title: Rational Functions and Expressions Time Frame: 14 blocks Grading Period: 3 Unit Number: 7 Curriculum Enduring Understandings (Big Ideas): Understanding how a parameter change affects the whole

### Mathematics Curriculum Document for Algebra 2 Unit Title: Systems of Equations and Inequalities Time Frame: 12 blocks Grading Period: 1 and 2 Unit Number: 3 Curriculum Enduring Understandings (Big Ideas): There are many ways to solve problems, but

### Mathematics Curriculum Document for Middle School Algebra 1 Unit Title: Equations and Inequalities Time Frame: 16 days Grading Period:1 Unit Number: 1 Curriculum Enduring Understandings (Big Ideas): Simplifying math operations with a standard process helps us communicate

### 2012 Texas Essential Knowledge and Skills for Algebra II in Pearson Texas Algebra II 2012 Texas Essential Knowledge and Skills for Algebra II in Pearson Texas Algebra II The following table shows where each of the from the 2012 Texas Essential Knowledge and Skills (TEKS) for Algebra II

### Algebra II Assessment. Eligible Texas Essential Knowledge and Skills Algebra II Assessment Eligible Texas Essential Knowledge and Skills STAAR Algebra II Assessment Mathematical Process Standards These student expectations will not be listed under a separate reporting category.

### Algebra I Assessment. Eligible Texas Essential Knowledge and Skills Algebra I Assessment Eligible Texas Essential Knowledge and Skills STAAR Algebra I Assessment Mathematical Process Standards These student expectations will not be listed under a separate reporting category.

### Algebra 1. Correlated to the Texas Essential Knowledge and Skills. TEKS Units Lessons Algebra 1 Correlated to the Texas Essential Knowledge and Skills TEKS Units Lessons A1.1 Mathematical Process Standards The student uses mathematical processes to acquire and demonstrate mathematical understanding.

### Region 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.

### (4) Statements that contain the word "including" reference content that must be 111.40. Algebra II, Adopted 2012 (One-Half to One Credit). (a) General requirements. Students shall be awarded one-half to one credit for successful completion of this course. Prerequisite: Algebra I.

### Math 3 Unit 5: Polynomial and Rational Representations and Modeling Approximate Time Frame: 5-6 weeks Connections to Previous Learning: In Math 1 and 2, students worked with one-variable equations. They studied linear, exponential and quadratic functions and compared them

### Algebra I, Adopted 2012 (One Credit). 111.39. Algebra I, Adopted 2012 (One Credit). (a) General requirements. Students shall be awarded one credit for successful completion of this course. This course is recommended for students in Grade 8

### Algebra 2A Semester Credit by Exam Information Algebra 2A Semester Credit by Exam Information Plano ISD Now uses the Texas Tech University ISD Credit by Exam Test for Algebra 2 Format: first semester consists of 35 multiple choice questions and 5 open

### Algebra 2B Semester Credit by Exam Information Algebra B Semester Credit by Exam Information Plano ISD Now uses the Texas Tech University ISD Credit by Exam Test for Algebra Format: second semester consists of 5 multiple choice questions and 5 open

### TSI Mathematics & Statistics Test - Elementary Algebra TSI Mathematics & Statistics Test - Elementary Algebra Querium Lesson Titles Adult Education Standards Aligned TEKS Aligned CCRS Solving Equations Using the Distributive Property Solving Equations by Combining

### SUPPORTING INFORMATION ALGEBRA II. Texas Education Agency SUPPORTING INFORMATION ALGEBRA II Texas Education Agency The materials are copyrighted (c) and trademarked (tm) as the property of the Texas Education Agency (TEA) and may not be reproduced without the

### Comparison of Virginia s College and Career Ready Mathematics Performance Expectations with the Common Core State Standards for Mathematics Comparison of Virginia s College and Career Ready Mathematics Performance Expectations with the Common Core State Standards for Mathematics February 17, 2010 1 Number and Quantity The Real Number System

### Absolute Value Inequalities (Advanced Only) Unit 1: Linear Functions and Inequalities Time Frame: 5 weeks August 16 to September 20, 2011 Unit Description This unit focuses on the development of concepts of functions that was begun in Algebra I

### Section 5.1 Determine if a function is a polynomial function. State the degree of a polynomial function. Test Instructions Objectives Section 5.1 Section 5.1 Determine if a function is a polynomial function. State the degree of a polynomial function. Form a polynomial whose zeros and degree are given. Graph

### Mathematics Online Instructional Materials Correlation to the 2009 Algebra II Standards of Learning and Curriculum Framework and Curriculum Framework Provider York County School Division Course Title Algebra II AB Last Updated 2010-11 Course Syllabus URL http://yorkcountyschools.org/virtuallearning/coursecatalog.aspx AII.1 The

### Check 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

### Scope and Sequence Mathematics Algebra 2 400 Scope and Sequence Mathematics Algebra 2 400 Description : Students will study real numbers, complex numbers, functions, exponents, logarithms, graphs, variation, systems of equations and inequalities,

### CME Project, Algebra Correlated to: Michigan High School Content Expectations, Algebra 1 STRAND 1: QUANTITATIVE LITERACY AND LOGIC STANDARD L1: REASONING ABOUT NUMBERS, SYSTEMS, AND QUANTITATIVE SITUATIONS Based on their knowledge of the properties of arithmetic, students understand and reason

### MATH 1314 College Algebra Scott Travis Fall 2014 Review for Exam #2 MATH 1314 College Algebra Scott Travis Fall 2014 Review for Exam #2 There are eight sections from Chapters 4 and 5 included in the exam: 4.1, 4.3, 5.1 to 5.6. This review should help you prepare. For each

### Pearson Georgia High School Mathematics Advanced Algebra A Correlation of Pearson Georgia High School Mathematics Advanced Algebra 2014 to the Gwinnett County Academic Knowledge and Skills (AKS) Mathematics Table of Contents A - Process Skills... 1 C - Geometry...

### PreCalculus. 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.

### Agile Mind Algebra I Scope and Sequence, Texas Essential Knowledge and Skills for Mathematics In the three years prior to Algebra I, students have already begun their study of algebraic concepts. They have investigated variables and expressions, solved equations, constructed and analyzed tables,

### NORTH 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

### Determine trigonometric ratios for a given angle in a right triangle. Course: Algebra II Year: 2017-18 Teacher: Various Unit 1: RIGHT TRIANGLE TRIGONOMETRY Standards Essential Questions Enduring Understandings G-SRT.C.8 Use 1) How are the The concept of trigonometric ratios

### Mathematics Precalculus: Academic Unit 1: Polynomial and Transcendental Functions Understandings Questions Knowledge Functions can be used as models for real-life problems. Functions can be graphed, evaluated, transformed, analyzed, manipulated and combined using algebraic & graphical

### GUIDED NOTES 5.6 RATIONAL FUNCTIONS GUIDED NOTES 5.6 RATIONAL FUNCTIONS LEARNING OBJECTIVES In this section, you will: Use arrow notation. Solve applied problems involving rational functions. Find the domains of rational functions. Identify

### Cumulative Review. Name. 13) 2x = -4 13) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Cumulative Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Evaluate the algebraic expression for the given value or values of the variable(s).

### Analysis 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

### correlated to the Idaho Content Standards Algebra II correlated to the Idaho Content Standards Algebra II McDougal Littell Algebra and Trigonometry: Structure and Method, Book 2 2000 correlated to the Idaho Content Standards Algebra 2 STANDARD 1: NUMBER

### HPISD Grade 3 TAG Math Unit Overview HPISD Grade 3 TAG Math Title Estimated Duration 9 Weeks Measurement 4 weeks 1 2 3 4 Concepts of measurement to solve problems involving angles in degrees, drawing angles, and determining

### Math 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

### Math 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

### CME Project, Algebra Correlated to: Missouri Mathematics Course-Level Expectations 2007 (Algebra 2) Algebra II Number and Operations 1. Understand numbers, ways of representing numbers, relationships among numbers and number systems A Read, write and compare numbers Compare and order rational and irrational

### First Semester. Second Semester Algebra II Scope and Sequence 014-15 (edited May 014) HOLT Algebra Page -4 Unit Linear and Absolute Value Functions Abbreviated Name 5-8 Quadratics QUADS Algebra II - Unit Outline First Semester TEKS Readiness

### ALGEBRA 1B GOALS. 1. The student should be able to use mathematical properties to simplify algebraic expressions. GOALS 1. The student should be able to use mathematical properties to simplify algebraic expressions. 2. The student should be able to add, subtract, multiply, divide, and compare real numbers. 3. The

### ALGEBRA 1 Mathematics Map/Pacing Guide Topics & Standards Quarter 1 Time Frame Weeks 1-8 I. ALGEBRA - SEEING STRUCTURE IN EXPRESSIONS Interpret the structure of expressions A.SSE.1 Interpret expressions that represent a quantity in terms of

### Volusia 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

### Department of Mathematics, University of Wisconsin-Madison Math 114 Worksheet Sections (4.1), Department of Mathematics, University of Wisconsin-Madison Math 114 Worksheet Sections (4.1), 4.-4.6 1. Find the polynomial function with zeros: -1 (multiplicity ) and 1 (multiplicity ) whose graph passes

### World History Unit Curriculum Document Unit Number and Title: Unit 1: Development of River Valley Civilizations (8000 BC 500 BC) Curriculum Concepts: Civilization Human-Environment Interaction Diffusion Innovation Belief Systems Enduring Understandings

### MICHIGAN STANDARDS MAP for a Basic Grade-Level Program. Grade Eight Mathematics (Algebra I) MICHIGAN STANDARDS MAP for a Basic Grade-Level Program Grade Eight Mathematics (Algebra I) L1.1.1 Language ALGEBRA I Primary Citations Supporting Citations Know the different properties that hold 1.07

### COURSE 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

### Algebra II Standards of Learning Curriculum Guide Expressions Operations AII.1 identify field properties, axioms of equality inequality, properties of order that are valid for the set of real numbers its subsets, complex numbers, matrices. be able to:

### Orange Board of Education Pre-Calculus Orange Board of Education Pre-Calculus Cycle1: Functions, Polynomial, & Rational ORANGE PUBLIC SCHOOLS 2015-2016 OFFICE OF CURRICULUM AND INSTRUCTION OFFICE OF MATHEMATICS Cycle I: Topic: Units 1-2. Functions,

### Pre-Calculus At a Glance Approximate Beginning Date Test Date 1st 9 Weeks 2nd 9 Weeks 3rd 9 Weeks 4th 9 Weeks Pre-Calculus Curriculum Guide Page 1 2015-2016 Pre-Calculus At a Glance Approximate Beginning Date Test Date 1 st 9 Weeks August 24 th September 11 th Ch 3: Systems of Equations and Inequalities September

### SUPPORTING INFORMATION ALGEBRA I. Texas Education Agency SUPPORTING INFORMATION ALGEBRA I Texas Education Agency The materials are copyrighted (c) and trademarked (tm) as the property of the Texas Education Agency (TEA) and may not be reproduced without the

### Advanced Functions: Content and Reporting Targets Advanced Functions: Content and Reporting Targets Mathematical Processes across all strands: Problem Solving; Reasoning and Proving; Reflecting; Selecting Tools and Computational Strategies; Connecting,

### Algebra 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:

### Advanced Mathematics Unit 2 Limits and Continuity Advanced Mathematics 3208 Unit 2 Limits and Continuity NEED TO KNOW Expanding Expanding Expand the following: A) (a + b) 2 B) (a + b) 3 C) (a + b)4 Pascals Triangle: D) (x + 2) 4 E) (2x -3) 5 Random Factoring

### Advanced Mathematics Unit 2 Limits and Continuity Advanced Mathematics 3208 Unit 2 Limits and Continuity NEED TO KNOW Expanding Expanding Expand the following: A) (a + b) 2 B) (a + b) 3 C) (a + b)4 Pascals Triangle: D) (x + 2) 4 E) (2x -3) 5 Random Factoring

### Texas Essential Knowledge and Skills. apply mathematics to problems arising in everyday life, society, and the workplace; Math Grade 8 Correlated to the Texas Essential Knowledge and Skills Texas Essential Knowledge and Skills Lessons 8.1 Mathematical process standards. The student uses mathematical processes to acquire and

### Diagnostic Series XX/vii/MMXVII Version 2 STAAR CONNECTION Algebra II EOC teacher Diagnostic Series XX/vii/MMXVII Version 2 KAMICO Instructional Media, Inc. 2016-2017 KAMICO Instructional Media, Inc. P.O. Box 1143 Salado, Texas 76571 Telephone:

### HS Algebra IIB Mathematics CC Scope And Sequence Timeframe Unit Instructional Topics 1 Week(s) 1 Week(s) 1 Week(s) 1 Week(s) 2 Week(s) 1 Week(s) 2 Week(s) 1 Week(s) Unit 1: Linear and Absolute Value Equations and Inequalities Unit

### Quadratics and Other Polynomials Algebra 2, Quarter 2, Unit 2.1 Quadratics and Other Polynomials Overview Number of instructional days: 15 (1 day = 45 60 minutes) Content to be learned Know and apply the Fundamental Theorem of Algebra

### Review 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.

### Grade 8 Mathematics Assessment Eligible Texas Essential Knowledge and Skills Grade 8 Mathematics Assessment Eligible Texas Essential Knowledge and Skills STAAR Grade 8 Mathematics Assessment Mathematical Process Standards These student expectations will not be listed under a separate

### UNIT 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

### Algebra II. Unit 2 Suggested Time Frame. Analyzing Functions and Absolute Value. 19 Days Title Analyzing Functions and Absolute Value Big Ideas/Enduring Understandings Functions can be used to show various forms of information, both conceptual and real world, to help understand what is being

### CURRICULUM 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

### Trinity Christian School Curriculum Guide Course Title: Calculus Grade Taught: Twelfth Grade Credits: 1 credit Trinity Christian School Curriculum Guide A. Course Goals: 1. To provide students with a familiarity with the properties of linear,

### Amarillo ISD Math Curriculum Amarillo Independent School District follows the Texas Essential Knowledge and Skills (TEKS). All of AISD curriculum and documents and resources are aligned to the TEKS. The State of Texas State Board

### New Mexico Curriculum Framework Correlated to Merit Software Mathematics Programs New Mexico Curriculum Framework Correlated to Merit Software Mathematics Programs Middle School 5-8 Benchmark: Use mathematical models to represent and understand quantitative relationships Grade Performance

### SCOPE & SEQUENCE. Algebra I Year at a Glance August September October November December January February March April May 1. Functions, 4.Systems Expressions, 2. Polynomials and 6. Exponential STAAR SLA 3. Linear Functions of Break

### Honors Algebra II Spring 2016 Final Exam Format Honors Algebra II Spring 2016 Final Exam Format 40 questions, all multiple choice 16 questions from Units 1 4B, 24 questions from Units 5A 6 Can use graphing calculator for entire test May 23 9:38 AM Unit

### 1. Find the domain of the following functions. Write your answer using interval notation. (9 pts.) MATH- Sample Eam Spring 7. Find the domain of the following functions. Write your answer using interval notation. (9 pts.) a. 9 f ( ) b. g ( ) 9 8 8. Write the equation of the circle in standard form given

### INDEX 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

### Pre-Calculus Mathematics Map/Pacing Guide Topics & Standards Quarter 1 Time Frame Weeks 1-8 I. ALGEBRA SEEING STRUCTURE IN EXPRESSIONS Interpret the structure of expressions A.SSE.1 Interpret expressions that represent a quantity in terms of its

### STAAR STANDARDS ALGEBRA I ALGEBRA II GEOMETRY STANDARDS ALGEBRA I ALGEBRA II GEOMETRY STANDARDS ALGEBRA I TEKS Snapshot Algebra I (New TEKS 2015-16) Mathematical Process Standards A.1 Mathematical process standards. The student uses mathematical processes

### Fundamental Theorem of Algebra (NEW): A polynomial function of degree n > 0 has n complex zeros. Some of these zeros may be repeated. .5 and.6 Comple Numbers, Comple Zeros and the Fundamental Theorem of Algebra Pre Calculus.5 COMPLEX NUMBERS 1. Understand that - 1 is an imaginary number denoted by the letter i.. Evaluate the square root

### Algebra I. CORE TOPICS (Key Concepts & Real World Context) UNIT TITLE CHAPTER 1 Using variables Exponents and Order of Operations Exploring real numbers Adding real numbers Subtracting real numbers Multiplying and dividing real numbers The Distributive Property Properties

### MATHEMATICS COURSE SYLLABUS Course Title: Algebra 1 Honors Department: Mathematics MATHEMATICS COURSE SYLLABUS Primary Course Materials: Big Ideas Math Algebra I Book Authors: Ron Larson & Laurie Boswell Algebra I Student Workbooks

### Correlation of 2012 Texas Essential Knowledge and Skills (TEKS) for Algebra I and Geometry to Moving with Math SUMS Moving with Math SUMS Algebra 1 Correlation of 2012 Texas Essential Knowledge and Skills (TEKS) for Algebra I and Geometry to Moving with Math SUMS Moving with Math SUMS Algebra 1 ALGEBRA I A.1 Mathematical process standards. The student

### Intermediate Algebra Intermediate Algebra The purpose of this course is to strengthen students foundational conceptual and procedural skills in order to prepare students for college-and-career readiness. The course textbook,

### Algebra II - Mathematics Course Overview GENERAL DESCRIPTION: This course is an extension of Algebra I, with more emphasis placed on material for the advanced college track student. Students will solve linear and quadratic equations

### Chapter 2 Polynomial and Rational Functions Chapter 2 Polynomial and Rational Functions Section 1 Section 2 Section 3 Section 4 Section 5 Section 6 Section 7 Quadratic Functions Polynomial Functions of Higher Degree Real Zeros of Polynomial Functions

### College 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)

### Miller Objectives Alignment Math Miller Objectives Alignment Math 1050 1 College Algebra Course Objectives Spring Semester 2016 1. Use algebraic methods to solve a variety of problems involving exponential, logarithmic, polynomial, and

### Algebra 2 TN Ready Performance Standards by Unit. The following Practice Standards and Literacy Skills will be used throughout the course: The following Practice Standards and Literacy Skills will be used throughout the course: Standards for Mathematical Practice Literacy Skills for Mathematical Proficiency 1. Make sense of problems and persevere

### MCPS Algebra II Pacing Guide Units to be covered 1 st Semester: Units to be covered 2 nd Semester: Vocabulary Semester Class: 10 days Year Long: 20 days OR Unit: Functions & Graphs Include content with individual units SOL AII.6 Recognize

### Polynomials 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

### correlated to the Virginia Standards of Learning Algebra II with Trigonometry correlated to the Virginia Standards of Learning Algebra II with Trigonometry AII/T.1 The student will identify field properties, axioms of equality and inequality, and properties of order that are valid

### Copyright 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

### PAGE(S) WHERE TAUGHT (If submission is not a text, cite appropriate resource(s)) PROCESSES OF TEACHING AND LEARNING MATHEMATICS. Utah Core Curriculum for Mathematics, Processes of Teaching and Learning Mathematics and Intermediate Algebra Standards (Grades 9-12) MATHEMATICS Problem Solving 1. Select and use appropriate methods for

### PreCalculus Notes. MAT 129 Chapter 5: Polynomial and Rational Functions. David J. Gisch. Department of Mathematics Des Moines Area Community College PreCalculus Notes MAT 129 Chapter 5: Polynomial and Rational Functions David J. Gisch Department of Mathematics Des Moines Area Community College September 2, 2011 1 Chapter 5 Section 5.1: Polynomial Functions

### Nine Week SOL Time Allotment. A.4a, b and A.5a - Properties. A.1b and A.3c - Order of Operations. A.1b - Evaluating Expression 6/5/2018 Nine Week SOL Time Allotment A.4a, b and A.5a - Properties A.1b and A.3c - Order of Operations A.1b - Evaluating Expression 3 Days 1 Day 4 Days 1 8.17 and 8.18 - Simplifying Expressions 4 Days

### Pre-Calculus Mathematics Curriculum Pre-Calculus Mathematics Curriculum First day introductions, materials, policies, procedures and Summer Exam (2 days) Unit 1 Estimated time frame for unit 1 Big Ideas Essential Question Competencies Lesson

### Math for College Readiness # %

### Algebra Performance Level Descriptors Limited A student performing at the Limited Level demonstrates a minimal command of Ohio s Learning Standards for Algebra. A student at this level has an emerging ability to A student whose performance

### NAME DATE PERIOD. Power and Radical Functions. New Vocabulary Fill in the blank with the correct term. positive integer. 2-1 Power and Radical Functions What You ll Learn Scan Lesson 2-1. Predict two things that you expect to learn based on the headings and Key Concept box. 1. 2. Lesson 2-1 Active Vocabulary extraneous solution

### Math 2 Unit 4 Quadratic Functions: Modeling Approximate Time Frame: 2 3 Weeks Connections to Previous Learning: In Math 1, students learn how to model functions and how to interpret models of functions. Students looked at multiple representations

### College 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)

### Alignment This course is aligned to the California Common Core State Standards for Algebra 1. Suggested Video/DVDs//Films 3. TBD Web Sites 4. High School Course Description for Algebra 1 Course Title: Algebra 1 Course Number: MTH 101, 102, 131, 132, 181, 182, 1011, 1012, 1013, 1014 Grade Level: 9-12 Meets a UC a-g Requirement: Yes C Curricular

### Nine Week SOL Time Allotment 6/5/2018 Nine Week SOL Time Allotment 1 Prerequisite Skills and Beginning of year activities A.1 Translating and Evaluating Expressions and Equations A.4 ace Solve Multi-step equations including variables Section 3.1 Relations and Functions (for Math 026 review) Objective 1: Understanding the s of Relations and Functions Relation A relation is a correspondence between two sets A and B such that each element CLEP EXAMINATION: Precalculus DESCRIPTION OF THE EXAMINATION: The Precalculus examination assesses student mastery of skills and concepts required for success in a first-semester calculus course. A large