PENNSYLVANIA. The denominator of a rational function is critical in the graph and solution of the function. Page 1 of 3.
|
|
- Bruno Green
- 5 years ago
- Views:
Transcription
1 Know: Understand: Do: 1 -- Essential Make sense of problems and persevere in solving them. The denominator of a rational function is critical in the graph and solution of the function Essential Make sense of problems and persevere in solving them Essential Reason abstractly and quantitatively Essential Construct viable arguments and critique the reasoning of others Essential Model with mathematics Essential Reason abstractly and quantitatively Essential Construct viable arguments and critique the reasoning of others Essential Model with mathematics Essential Use appropriate tools strategically Essential Use appropriate tools strategically Essential Attend to precision Essential Look for and make use of structure Essential Look for and express regularity in repeated reasoning. Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x 2) = 1 or x2 + 21x = 14) Essential Attend to precision Essential Look for and make use of structure Essential Look for and express regularity in repeated reasoning. CC.2.2.HS.D.6 -- Essential Extend the knowledge of rational functions to rewrite in equivalent forms. Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x 2) = 1 or x2 + 21x = 14). Page 1 of 3
2 Which standards are students learning in this unit? A Essential Use exponential expressions to represent rational numbers. A Essential Simplify/evaluate expressions involving positive and negative exponents and/or roots (may contain all types of real numbers exponents should not exceed power of 10). A Essential Simplify/evaluate expressions involving multiplying with exponents (e.g., x 6 x 7 = x 13 ), powers of powers (e.g., (x 6 ) 7 = x 42 ) and powers of products (e.g., (2x 2 ) 3 = 8x 6 ). Note: Limit to rational exponents. A Essential Simplify rational algebraic expressions. Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x 2) = 1 or x x = 14). A Essential Determine the domain, range, or inverse of a relation. A Essential Create, interpret, and/or use the equation, graph, or table of a polynomial function (including quadratics). A Essential Translate from one representation of a function to another (graph, table, and equation) Essential Make sense of problems and persevere in solving them Essential Reason abstractly and quantitatively Essential Construct viable arguments and critique the reasoning of others Essential Model with mathematics Essential Use appropriate tools strategically Essential Attend to precision. Page 2 of 3
3 7 -- Essential Look for and make use of structure Essential Look for and express regularity in repeated reasoning. CC.2.2.HS.D.6 -- Essential Extend the knowledge of rational functions to rewrite in equivalent forms. A Essential Simplify rational algebraic expressions. Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x 2) = 1 or x x = 14). Page 3 of 3
4 Key Learning: The denominator of a rational function is critical in the graph and solution of the function. Unit Essential Question(s): How do we graph a rational function whose graph is discontinuous in the coordinate plane? Concept: Concept: Concept: inverse and joint variations graph simple rational funcitons graph rational functions with higher A , A CC.2.2.HS.D.6, A degree polynomials CC.2.2.HS.D.6, A , A What are the differences between direct, inverse How do you graph simple rational functions? How do you find vertical and horizontal and joint variationj? (A) (A) asymptotes of a rational function? (A) A A A , A inverse variation, constant variation, joint vertical asymptote, horizontal asymptote, rational function, point of discontinuity, vertical variation branch, rational function, domain, range asymptote, horizontal asymptote, end behavior Concept: Concept: Concept: multiply and divide rational adding and subtracting rational expressions expressions A , A , A , A A , A , A solving rational equations A How do you multiply, divide rational How do you add or subtract rational expressions What are the steps for solving rational expressions? (A) with different denominators? How do you simplify a complex fraction? (A) equations? (A) A , A , A , A A A , A simplest form, reciprocal complex fraction cross multiplying, extraneous solution Page 1 of 2
5 Concept: Concept: Concept: function characteristics CC.2.2.HS.D.6, A , A How do you compare functions represented in different ways? (A) A , A increasing, decreasing, odd function, even function Additional Information: graph paper, graphing calculator, textbook Attached Document(s): Page 2 of 2
6 Vocab Report for Concept: inverse and joint variations inverse variation - constant variation - joint variation - Concept: graph simple rational funcitons vertical asymptote - horizontal asymptote - branch - rational function - domain - range - Concept: graph rational functions with higher degree polynomials rational function - point of discontinuity - vertical asymptote - horizontal asymptote - end behavior - Concept: multiply and divide rational expressions simplest form - reciprocal - Concept: adding and subtracting rational expressions complex fraction - Concept: solving rational equations cross multiplying - extraneous solution - Concept: function characteristics increasing - decreasing - odd function - even function - Page 1 of 1
PENNSYLVANIA. Page 1 of 5
Know: Understand: Do: CC.2.1.HS.F.7 -- Essential Apply concepts of complex numbers in polynomial identities and quadratic equations to solve problems. CC.2.2.HS.D.4 -- Essential Understand the relationship
More informationHow do we analyze, evaluate, solve, and graph quadratic functions?
Topic: 4. Quadratic Functions and Factoring Days: 18 Key Learning: Students will be able to analyze, evaluate, solve and graph quadratic functions. Unit Essential Question(s): How do we analyze, evaluate,
More informationCARLISLE AREA SCHOOL DISTRICT Carlisle, PA PRE-CALCULUS. GRADES 11 and 12
CARLISLE AREA SCHOOL DISTRICT Carlisle, PA 17013 PRE-CALCULUS GRADES 11 and 12 Date of Board Approval: April 17, 2014 CARLISLE AREA SCHOOL DISTRICT PLANNED INSTRUCTION COVER PAGE TITLE OF SUBJECT: Math
More informationAlgebra II Curriculum Guide Dunmore School District Dunmore, PA
Algebra II Dunmore School District Dunmore, PA Algebra II Prerequisite: Successful completion of Geometry This course continues and reinforces the mathematical material learned in Algebra I. It deals with
More informationAlgebra II Honors Curriculum Guide Dunmore School District Dunmore, PA
Algebra II Honors Dunmore School District Dunmore, PA Algebra II Honors Prerequisite: Successful completion of Geometry Honors This course continues and reinforces the mathematical material learned in
More informationTrimester 2 Expectations. Chapter (McGraw-Hill. CCSS covered Key Vocabulary Vertical. Alignment
Algebra 2 Trimester 2 Expectations Chapter (McGraw-Hill Algebra 2) Chapter 5 (Suggested Pacing 14 Days) Polynomials and Polynomial Functions Lesson 5-1: Operations with Polynomials Lesson 5-2: Dividing
More informationAlgebra I, 2nd 4.5 weeks
07-08 The following practice standards will be used throughout 4.5 weeks:. Make sense of problems and persevere in solving them.. Reason abstractly and quantitatively. 3. Construct viable arguments and
More informationSUMMER MATH PREP WORK FOR STUDENTS ENTERING ALGEBRA 2
SUMMER MATH PREP WORK FOR STUDENTS ENTERING ALGEBRA 2 NAME: SUMMER PREP WORK HELP 8/2, 8/9, AND 8/16 2:45PM 3:45PM BOLGER MEDIA CENTER Mr. Rosenberg will be there on 8/2 Mrs. Keelen will be there on 8/9
More informationMath 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
More informationReteach Multiplying and Dividing Rational Expressions
8-2 Multiplying and Dividing Rational Expressions Examples of rational expressions: 3 x, x 1, and x 3 x 2 2 x 2 Undefined at x 0 Undefined at x 0 Undefined at x 2 When simplifying a rational expression:
More informationCHAPTER 8A- RATIONAL FUNCTIONS AND RADICAL FUNCTIONS Section Multiplying and Dividing Rational Expressions
Name Objectives: Period CHAPTER 8A- RATIONAL FUNCTIONS AND RADICAL FUNCTIONS Section 8.3 - Multiplying and Dividing Rational Expressions Multiply and divide rational expressions. Simplify rational expressions,
More informationAlgebra 1 3 rd Trimester Expectations Chapter (McGraw-Hill Algebra 1) Chapter 9: Quadratic Functions and Equations. Key Vocabulary Suggested Pacing
Algebra 1 3 rd Trimester Expectations Chapter (McGraw-Hill Algebra 1) Chapter 9: Quadratic Functions and Equations Lesson 9-1: Graphing Quadratic Functions Lesson 9-2: Solving Quadratic Equations by Graphing
More informationMathematics 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
More informationAdvanced Algebra 2 - Assignment Sheet Chapter 1
Advanced Algebra - Assignment Sheet Chapter #: Real Numbers & Number Operations (.) p. 7 0: 5- odd, 9-55 odd, 69-8 odd. #: Algebraic Expressions & Models (.) p. 4 7: 5-6, 7-55 odd, 59, 6-67, 69-7 odd,
More informationNorth Carolina Math 1A & B Extended Content Standards
North Carolina Math 1A & B Extended Content Standards Standards for Mathematical Practice 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively 3. Construct viable
More informationCourse: Algebra 2 Level: Regular Date: 11/2016 Algebra 2 Curriculum. Unit 3: Quadratic Functions 36 Days 18 Days
Algebra 2 Curriculum Chambersburg Area School District Course Map Timeline 2016 Units *Note: unit numbers are for reference only and do not indicate the order in which concepts need to be taught Unit 1:
More informationUnit 3 Radical and Rational Functions Algebra 2
Number of Days: 29 11/27/17 1/19/18 Unit Goals Stage 1 Unit Description: A theme of Unit 3 is that the arithmetic of rational expressions is governed by the same rules as the arithmetic of rational numbers.
More informationALGEBRA I CCR MATH STANDARDS
RELATIONSHIPS BETWEEN QUANTITIES AND REASONING WITH EQUATIONS M.A1HS.1 M.A1HS.2 M.A1HS.3 M.A1HS.4 M.A1HS.5 M.A1HS.6 M.A1HS.7 M.A1HS.8 M.A1HS.9 M.A1HS.10 Reason quantitatively and use units to solve problems.
More informationHUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK
HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK COURSE / SUBJECT P r e c a l c u l u s ( A ) KEY COURSE OBJECTIVES/ENDURING UNDERSTANDINGS OVERARCHING/ESSENTIAL SKILLS OR QUESTIONS and Graphs Polynomial, Power,
More informationWAYNESBORO AREA SCHOOL DISTRICT CURRICULUM ALGEBRA II
UNIT: Review of Basic Algebra Skills as Needed SR1 and any Supplemental Materials UNIT : What skills from Algebra I are used in Algebra II? Review Algebra I Skills as Needed SR1 and any additional resources
More informationCARLISLE AREA SCHOOL DISTRICT Carlisle, PA HONORS ALGEBRA II GRADES Date of Board Approval: April 17, 2014
CARLISLE AREA SCHOOL DISTRICT Carlisle, PA 17013 HONORS ALGEBRA II GRADES 8-12 Date of Board Approval: April 17, 2014 CARLISLE AREA SCHOOL DISTRICT PLANNED INSTRUCTION COVER PAGE TITLE OF COURSE: Honors
More informationAlgebra 2 (3 rd Quad Expectations) CCSS covered Key Vocabulary Vertical
Algebra 2 (3 rd Quad Expectations) CCSS covered Key Vocabulary Vertical Chapter (McGraw-Hill Algebra 2) Chapter 7 (Suggested Pacing 14 Days) Lesson 7-1: Graphing Exponential Functions Lesson 7-2: Solving
More informationBridge to Algebra II Standards for Mathematical Practice
Bridge to Algebra II Standards for Mathematical Practice The Standards for Mathematical Practices are to be interwoven and should be addressed throughout the year in as many different units and tasks as
More informationNC Math 3 Draft Standards
Standards for Mathematical Practice 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 4.
More informationMATHEMATICS Math I. Number and Quantity The Real Number System
MATHEMATICS Math I The high school mathematics curriculum is designed to develop deep understanding of foundational math ideas. In order to allow time for such understanding, each level focuses on concepts
More informationHonours GSE & GSE Algebra II / Advanced Algebra Unit 2: Operations with Polynomials
Honours GSE & GSE Algebra II / Advanced Algebra Unit 2: Operations with Polynomials STANDARDS ADDRESSED IN THIS UNIT Perform arithmetic operations on polynomials MGSE9-12.A.APR.1 Add, subtract, and multiply
More informationMathematics Standards for High School Algebra I
Mathematics Standards for High School Algebra I Algebra I is a course required for graduation and course is aligned with the College and Career Ready Standards for Mathematics in High School. Throughout
More informationAlgebra I. 60 Higher Mathematics Courses Algebra I
The fundamental purpose of the course is to formalize and extend the mathematics that students learned in the middle grades. This course includes standards from the conceptual categories of Number and
More informationCalifornia Common Core State Standards for Mathematics Standards Map Algebra I
A Correlation of Pearson CME Project Algebra 1 Common Core 2013 to the California Common Core State s for Mathematics s Map Algebra I California Common Core State s for Mathematics s Map Algebra I Indicates
More informationMohawk Local Schools Grade Math 6
Mohawk Local Schools Grade Math 6 Quarter 2 Critical Areas of Focus Being Addressed: o Expressions and Equations o Number Sense o Ratio and Proportional Relationships o Modeling and Reasoning Curriculum
More informationCumberland County Schools
Cumberland County Schools MATHEMATICS Algebra II The high school mathematics curriculum is designed to develop deep understanding of foundational math ideas. In order to allow time for such understanding,
More informationA Story of Functions Curriculum Overview
Rationale for Module Sequence in Algebra I Module 1: By the end of eighth grade, students have learned to solve linear equations in one variable and have applied graphical and algebraic methods to analyze
More informationSalisbury Township School District Planned Course of Study Honors Pre Calculus Salisbury Inspire, Think, Learn, Grow Together!
Topic/Unit: Linear Functions Big Ideas/Enduring Understandings: Patterns can be represented numerically, graphically, symbolically, and verbally and provide insights into potential relationships. A linear
More informationUnit 8: Polynomials and Quadratic Functions April
Algebra 1 Year at a Glance August Unit 1: Introduction to Functions Unit 6: linear Systems January S M T W TH F S In this unit students will explore and classify In this unit, students will solve systems
More informationMath Lab- Algebra II Pacing Guide Quarter 3. Unit 1: Rational and Irrational Numbers, Exponents and Roots
1 Jan. 3-6 (4 days) 2 Jan. 9-13 Unit 1: Rational and Irrational Numbers, Exponents and Roots ISTEP Framework Focus: Unit 1 Number Sense, Expressions, and Computation 8.NS.1: Give examples of rational and
More informationTri-District Mathematics Curriculum 2010 Algebra I
Tri-District Mathematics Curriculum 2010 Algebra I Mr. Patrick Fletcher Superintendent River Dell Regional Schools Ms. Lorraine Brooks Principal River Dell High School Mr. Richard Freedman Principal River
More informationUNIT 4 ALGEBRA I TEMPLATE CREATED BY REGION 1 ESA UNIT 4
UNIT 4 ALGEBRA I TEMPLATE CREATED BY REGION 1 ESA UNIT 4 Algebra 1 Unit 4 Overview: Expressions and Equations In this unit, students build on their knowledge from unit 2, where they extended the laws of
More informationMathematics High School Algebra
Mathematics High School Algebra Expressions. An expression is a record of a computation with numbers, symbols that represent numbers, arithmetic operations, exponentiation, and, at more advanced levels,
More informationChapter 7 Rational Expressions, Equations, and Functions
Chapter 7 Rational Expressions, Equations, and Functions Section 7.1: Simplifying, Multiplying, and Dividing Rational Expressions and Functions Section 7.2: Adding and Subtracting Rational Expressions
More informationPrentice Hall CME Project Algebra
Prentice Hall CME Project Algebra 1 2009 Algebra 1 C O R R E L A T E D T O from March 2009 Algebra 1 A1.1 Relations and Functions A1.1.1 Determine whether a relation represented by a table, graph, words
More informationCenterville High School Curriculum Mapping Algebra II 1 st Nine Weeks
Centerville High School Curriculum Mapping Algebra II 1 st Nine Weeks Chapter/ Lesson Common Core Standard(s) 1-1 SMP1 1. How do you use a number line to graph and order real numbers? 2. How do you identify
More informationevaluate functions, expressed in function notation, given one or more elements in their domains
Describing Linear Functions A.3 Linear functions, equations, and inequalities. The student writes and represents linear functions in multiple ways, with and without technology. The student demonstrates
More information2012 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
More informationEighth Grade Algebra I Mathematics
Description The Appleton Area School District middle school mathematics program provides students opportunities to develop mathematical skills in thinking and applying problem-solving strategies. The framework
More informationAlgebra 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.
More informationSchool District of Marshfield Course Syllabus
School District of Marshfield Course Syllabus Course Name: Algebra I Length of Course: 1 Year Credit: 1 Program Goal(s): The School District of Marshfield Mathematics Program will prepare students for
More informationRiver Dell Regional School District. Algebra I Curriculum
Algebra I Curriculum 2015 Mr. Patrick Fletcher Superintendent River Dell Regional Schools Ms. Lorraine Brooks Principal River Dell High School Mr. Richard Freedman Principal River Dell Middle School Mr.
More informationEquations. Rational Equations. Example. 2 x. a b c 2a. Examine each denominator to find values that would cause the denominator to equal zero
Solving Other Types of Equations Rational Equations Examine each denominator to find values that would cause the denominator to equal zero Multiply each term by the LCD or If two terms cross-multiply Solve,
More informationSequence of Algebra 1 Units Aligned with the California Standards
Sequence of Algebra 1 Units Aligned with the California Standards Year at a Glance Unit Big Ideas Math Algebra 1 Textbook Chapters Dates 1. Equations and Inequalities Ch. 1 Solving Linear Equations MS
More informationMathematics Transition Mathematics for Seniors
Mathematics Transition Mathematics for Seniors All West Virginia teachers are responsible for classroom instruction that integrates content standards and mathematical habits of mind. Transition Mathematics
More informationCC.2.2.HS.D.1 Interpret the structure of expressions to represent a quantity in terms of it. Calculator set builder notation, interval Unit 2:
Unit/Concepts Unit 1: Number Sets PA Eligible Content PA Common Core CC.2.2.HS.D.1 Interpret the structure of expressions to represent a quantity in terms of it Resources Vocab 1.1 set, number sets (Natural,
More informationVolusia County Mathematics Curriculum Map. Pre-Calculus. Course Number /IOD
Volusia County Mathematics Curriculum Map Pre-Calculus Course Number 1202340/IOD Mathematics Department Volusia County Schools Revised June 9, 2012 Pre- Calculus Curriculum Map 120234/IOD COMPONENTS OF
More informationAlgebra 2-DRAFT Curriculum Map Based on the 2011 MA Mathematics Frameworks
Unit 1: Functions, Operations on Functions and Transformations (with review of systems) Essential Questions: How do you most clearly represent the combination of two functions? What makes the graph of
More informationALGEBRA II CURRICULUM MAP
2017-2018 MATHEMATICS ALGEBRA II CURRICULUM MAP Department of Curriculum and Instruction RCCSD Common Core Major Emphasis Clusters The Real Number System Extend the properties of exponents to rational
More informationCourse Outcome Summary
Course Information: Algebra 2 Description: Instruction Level: 10-12 Total Credits: 2.0 Prerequisites: Textbooks: Course Topics for this course include a review of Algebra 1 topics, solving equations, solving
More informationUNIT 4: RATIONAL AND RADICAL EXPRESSIONS. 4.1 Product Rule. Objective. Vocabulary. o Scientific Notation. o Base
UNIT 4: RATIONAL AND RADICAL EXPRESSIONS M1 5.8, M2 10.1-4, M3 5.4-5, 6.5,8 4.1 Product Rule Objective I will be able to multiply powers when they have the same base, including simplifying algebraic expressions
More informationEPPING HIGH SCHOOL ALGEBRA 2 Concepts COURSE SYLLABUS
Course Title: Algebra 2 Concepts Course Description Algebra 2 Concepts is designed for students who wish to take an Algebra 2 course at a non college prep level. The class will begin with a review of Algebra
More informationAlgebra 1, Quarter 2, Unit 2.1. Linear Functions. Overview
Algebra 1, Quarter 2, Unit 2.1 Linear Functions Overview Number of instructional days: 10 (2 assessments) (1 day = 45 minutes) Content to be learned Demonstrate conceptual understanding of linear functions
More informationCorrelation of Discovering Algebra 3rd Edition to Florida State Standards
Correlation of Discovering Algebra 3rd Edition to Florida State Standards MAFS content is listed under three headings: Introduced (I), Developed (D), and Applied (A). Developed standards are the focus
More informationTransitional Algebra. Semester 1 & 2. Length of Unit. Standards: Functions
Semester 1 & 2 MP.1 MP.2 Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Length of Unit Progress Monitoring Short cycle Weekly or bi-weekly formative assessment
More informationWest Windsor-Plainsboro Regional School District Math A&E Grade 7
West Windsor-Plainsboro Regional School District Math A&E Grade 7 Page 1 of 24 Unit 1: Introduction to Algebra Content Area: Mathematics Course & Grade Level: A&E Mathematics, Grade 7 Summary and Rationale
More informationAlgebra I+ Pacing Guide. Days Units Notes Chapter 1 ( , )
Algebra I+ Pacing Guide Days Units Notes Chapter 1 (1.1-1.4, 1.6-1.7) Expressions, Equations and Functions Differentiate between and write expressions, equations and inequalities as well as applying order
More informationCritical Areas of Focus Being Addressed: o Expressions and Equations o Number System
Mohawk Local Schools Quarter 2 Critical Areas of Focus Being Addressed: o Expressions and Equations o Number System Grade 7 Math Curriculum Guide Mathematical Practices 1. Make Sense of Problems and Persevere
More informationMathematics Standards for High School Algebra II
Mathematics Standards for High School Algebra II Algebra II is a course required for graduation and is aligned with the College and Career Ready Standards for Mathematics in High School. Throughout the
More informationSISD Unit Bundles of TEKS/SEs and Pacing Guide Algebra 2
SISD Unit Bundles of TEKS/SEs and Pacing Guide Algebra 2 UNIT 0 - Preparing for Advanced Algebra Estimated 6 Days TEKS Identify the domain and range of functions. Use the FOIL (First, Outside, Inside,
More informationObjectives List. Important Students should expect test questions that require a synthesis of these objectives.
MATH 1040 - of One Variable, Part I Textbook 1: : Algebra and Trigonometry for ET. 4 th edition by Brent, Muller Textbook 2:. Early Transcendentals, 3 rd edition by Briggs, Cochran, Gillett, Schulz s List
More informationThese standards are grouped by concepts and are not necessarily arranged in any specific order for presentation.
Transitional Math for Seniors prepares students for their entry-level credit-bearing liberal studies mathematics course at the post-secondary level. This course will solidify their quantitative literacy
More informationMathematics Pacing. Instruction 9/9 10/18/13 Assessment 10/21 10/25/13 Remediation 10/28 11/1/13. # STUDENT LEARNING OBJECTIVES CCSS Resources 1
1 Instruction 9/9 10/18/13 Assessment 10/21 10/25/13 Remediation 10/28 11/1/13 NAME: Polynomials # STUDENT LEARNING OBJECTIVES CCSS Resources 1 Use Properties of operations to add, subtract, and multiply
More informationUnit 9 Study Sheet Rational Expressions and Types of Equations
Algebraic Fractions: Unit 9 Study Sheet Rational Expressions and Types of Equations Simplifying Algebraic Fractions: To simplify an algebraic fraction means to reduce it to lowest terms. This is done by
More informationThe Common Core State Standards in Mathematics
The Common Core State Standards in Mathematics William McCallum The University of Arizona Indianapolis, 11 April 2011 Focus The Mathematics experiences in early childhood settings should concentrate on
More informationI can solve linear inequalities and write my solution as an inequality, graph on a number line and write in interval notation.
Curriculum Map: Algebra II Course: Algebra II Sub-topic: Uncategorized Grade(s): 9 to 12 Unit: Unit 1 - Linear Function Timeline: Week 1 to 4 The purpose of this module is to establish a community of mathematical
More informationStandards for Mathematical Practice. Number and Quantity. Rewrite algebraic expressions with integer exponents using the properties of exponents.
North Carolina Standard Course of Study North Carolina Math 1 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique
More informationCOLLEGE-PREP ALGEBRA I Course #042
COLLEGE-PREP ALGEBRA I Course #042 Course of Study Findlay City Schools 2013 TABLE OF CONTENTS 1. Findlay City Schools Mission Statement and Beliefs 2. College-Prep Algebra I Course of Study 3. College-Prep
More informationVocabulary: I. Inverse Variation: Two variables x and y show inverse variation if they are related as. follows: where a 0
8.1: Model Inverse and Joint Variation I. Inverse Variation: Two variables x and y show inverse variation if they are related as follows: where a 0 * In this equation y is said to vary inversely with x.
More informationSTEM-Prep Pathway SLOs
STEM-Prep Pathway SLOs Background: The STEM-Prep subgroup of the MMPT adopts a variation of the student learning outcomes for STEM from the courses Reasoning with Functions I and Reasoning with Functions
More informationALGEBRA 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
More informationNever leave a NEGATIVE EXPONENT or a ZERO EXPONENT in an answer in simplest form!!!!!
1 ICM Unit 0 Algebra Rules Lesson 1 Rules of Exponents RULE EXAMPLE EXPLANANTION a m a n = a m+n A) x x 6 = B) x 4 y 8 x 3 yz = When multiplying with like bases, keep the base and add the exponents. a
More informationOnline Courses for High School Students
Online Courses for High School Students 1-888-972-6237 Algebra I Course Description: Students explore the tools of algebra and learn to identify the structure and properties of the real number system;
More informationRational and Radical Functions. College Algebra
Rational and Radical Functions College Algebra Rational Function A rational function is a function that can be written as the quotient of two polynomial functions P(x) and Q(x) f x = P(x) Q(x) = a )x )
More informationMath Curriculum Map: Integrated Algebra II Unit: 1 Quarter: Time Frame: Review of Algebra 13 days Essential Questions: Key Concepts: Key Vocabulary:
Math Curriculum Map: Integrated Algebra II Unit: 1 Quarter: Time Frame: Review of Algebra 1 13 days Essential Questions: How does the order of operations help solve one- and two- step equations? How is
More informationElementary Algebra
Elementary Algebra 978-1-63545-008-8 To learn more about all our offerings Visit Knewton.com/highered Source Author(s) (Text or Video) Title(s) Link (where applicable) Flatworld Text John Redden Elementary
More informationAlgebra 1 Yearlong Curriculum Plan. Last modified: June 2014
Algebra 1 Yearlong Curriculum Plan Last modified: June 2014 SUMMARY This curriculum plan is divided into four academic quarters. In Quarter 1, students first dive deeper into the real number system before
More informationCommon Core Algebra II. MRS21 Course Overview (Tentative)
Common Core Algebra II MRS21 Course Overview (Tentative) Unit #1 Total: 6 days Algebraic Expressions and Operations on Polynomials Lesson #1: Classifying Polynomials and Evaluating Expressions Lesson #2:
More informationBig Ideas Chapter 6: Exponential Functions and Sequences
Big Ideas Chapter 6: Exponential Functions and Sequences We are in the middle of the year, having finished work with linear equations. The work that follows this chapter involves polynomials and work with
More informationALGEBRA & TRIGONOMETRY FOR CALCULUS MATH 1340
ALGEBRA & TRIGONOMETRY FOR CALCULUS Course Description: MATH 1340 A combined algebra and trigonometry course for science and engineering students planning to enroll in Calculus I, MATH 1950. Topics include:
More informationMathematics Standards for High School Precalculus
Mathematics Standards for High School Precalculus Precalculus is a rigorous fourth-year launch course that prepares students for college and career readiness and intended specifically for those students
More informationLearning Module 1 - Basic Algebra Review (Appendix A)
Learning Module 1 - Basic Algebra Review (Appendix A) Element 1 Real Numbers and Operations on Polynomials (A.1, A.2) Use the properties of real numbers and work with subsets of the real numbers Determine
More informationAlgebra 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
More informationAlgebra 2A Unit 1 Week 1 Day Activity Unit 1 Week 2 Day Activity Unit 1 Week 3 Day Activity Unit 2 Week 1 Day Activity
Algebra 2A Unit 1 Week 1 1 Pretest Unit 1 2 Evaluating Rational Expressions 3 Restrictions on Rational Expressions 4 Equivalent Forms of Rational Expressions 5 Simplifying Rational Expressions Unit 1 Week
More informationScope 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,
More information1. Create, solve, or interpret linear equations in one variable. Algebra 1 Unit Create, solve, or interpret linear inequalities in one variable
SAT Content Standards correlated with Connecticut Core Mathematics Curricula: Algebra 1, Geometry, and Algebra. Content Dimension Description Place in Curriculum 1. Create, solve, or interpret linear equations
More informationAmarillo 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
More informationStandard Description Agile Mind Lesson / Activity Page / Link to Resource
Publisher: Agile Mind, Inc Date: 19-May-14 Course and/or Algebra I Grade Level: TN Core Standard Standard Description Agile Mind Lesson / Activity Page / Link to Resource Create equations that describe
More informationMathematics High School Functions
Mathematics High School Functions Functions describe situations where one quantity determines another. For example, the return on $10,000 invested at an annualized percentage rate of 4.25% is a function
More informationCommon Core State Standards with California Additions 1 Standards Map. Algebra I
Common Core State s with California Additions 1 s Map Algebra I *Indicates a modeling standard linking mathematics to everyday life, work, and decision-making N-RN 1. N-RN 2. Publisher Language 2 Primary
More informationQuantile Textbook Report
Quantile Textbook Report Algebra 2 Author Charles, Randall I., et al StateEdition West Virginia Grade Algebra 2 1 Expressions, Equations, and Inequalities 1.1 Patterns and Expressions 930Q 1.2 Properties
More informationPrentice Hall: Algebra 2 with Trigonometry 2006 Correlated to: California Mathematics Content Standards for Algebra II (Grades 9-12)
California Mathematics Content Standards for Algebra II (Grades 9-12) This discipline complements and expands the mathematical content and concepts of algebra I and geometry. Students who master algebra
More informationPacing Guide Algebra 1
Pacing Guide Algebra Chapter : Equations and Inequalities (one variable) Section Section Title Learning Target(s) I can. Evaluate and Simplify Algebraic Expressions. Evaluate and simplify numeric and algebraic
More informationLimits at Infinity. Horizontal Asymptotes. Definition (Limits at Infinity) Horizontal Asymptotes
Limits at Infinity If a function f has a domain that is unbounded, that is, one of the endpoints of its domain is ±, we can determine the long term behavior of the function using a it at infinity. Definition
More informationGUIDED 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
More information