WAYNESBORO AREA SCHOOL DISTRICT CURRICULUM ALGEBRA II

 Prosper Williamson
 3 months ago
 Views:
Transcription
1 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 deemed necessary
2 UNIT: Chapter 1 Quadratic Functions and Factoring UNIT : How do you solve and graph a quadratic function? How do you apply quadratic equations to reallife? A CC.2.2.HS.C.2 CC.2.2.HS.C.5 CC.2.2.HS.C.6 CC.2.2.HS.D Graph Quadratic Functions in Standard Form 1.2 Graphing Quadratic Functions in Vertex or Intercept Form How are the values in Standard Form used to graph the quadratic function What are the advantages to have the equation in intercept form when graphing a parabola? Page 10 Graphing Calculator Activity Maximum value Minimum value Vertex Standard Form Parabola Axis of Symmetry Vertex Form Intercept Form 1.3 Solve x 2 + bx + c = 0 by Factoring How can factoring by use to solve quadratic equations? Roots Zeros Monomial Binomial Trinomial Quadratic Equation 1.4 Solve ax 2 + bx + c = 0 by Factoring How do you factor a quadratic equation/expression to reveal the zeros? Monomial 1.5 Solve quadratic Equations by Finding Square Roots How can you use square roots to solve quadratic equations? Square Roots Conjugate Radical Radicand Rationalizing the Denominator
3 A CC.2.2.HS.C.2 CC.2.2.HS.C.5 CC2.2.HS.C.6 CC.2.2.HS.D.7 CC.2.1.HS.F Perform operations with Complex Numbers 1.7 Complete the Square How do you perform operations with Complex Numbers? How is the process of Completing the Square used to solve equations? Only do examples without graphing and absolute value. (Examples 15) Page 49 Algebra Tiles Activity Imaginary Number Complex Number Complex Conjugate Completing the Square 1.8 Use the Quadratic Formula and the Discriminant How do you use the Quadratic Formula and the Discriminant? Discriminant Quadratic Formula 1.9 Graph and Solve Quadratic Inequalities How do you solve quadratic inequalities in one variable? Quadratic Inequality One Variable Two Variable
4 UNIT: Chapter 2 Polynomials and Polynomial Functions UNIT : How do you graph polynomial functions? How do perform polynomial operations? How do you solve polynomials? CC.2.2.HS.C.5 CC.2.1.HS.F Use of Properties of Exponents How do you simplify expressions with exponents? Scientific Notation CC.2.2.HS.C.2 CC.2.2.HS.C Evaluate and Graph Polynomial Functions How can you graph a polynomial function? Page 94 End Behavior Activity Page 103 Viewing Window Graphing Calculators End Behavior Polynomial Polynomial Functions Synthetic Substitution CC.2.2.HS.D Add, Subtract, and Multiply Polynomials What are the specific product values for polynomials? Like Terms CC.2.2.HS.D Factor and Solve Polynomial Equations How can you solve a higher degree polynomial equation? Page 118 and 119 Alternative Solution Methods Factor Completely Factor by Grouping Quadratic Form 2.5 Apply the Remainder Factor Theorems If you know one zero of a polynomial equation, how do you know another zero(s)? Polynomial Division Synthetic Division
5 CC.2.2.HS.C.2 CC.2.2.HS.C.6 CC.2.2.HS.D Find Rational Zeroes How can you find all real zeroes when the leading coefficient is 1? Page 126 Use Location Principle Zero Constant Term Leading Coefficient 2.7 Apply the Fundamental Theorem of Algebra How can you determine the number of positive and negative and imaginary zeroes of polynomial functions? Repeated Solutions Irrational Conjugates Complex Conjugates 2.8 Analyze Graphs of Polynomial Functions When does a graph have a local maximum and minimum?
6 UNIT 3: Rational Exponents and Radical Functions UNIT : How do you simplify expressions with rational exponents? How do you perform and find operation of inverse functions? How do graph and solve radical equations? CC.2.2.HS.D.6 CC.2.1.HS.F.1 CC.2.1.HS.F Evaluate nth Roots and use rational exponents What is the relationship between nth root and rational exponents? Index nth root of a 3.2 Apply properties of rational exponents How are the properties of rational exponents related to the integer properties of exponent? Simplest form of radicals Like radicals CC.2.2.HS.C.1 CC.2.2.HS.C Perform function operations and compositions What operations can be performed on a function to obtain a third function? Page 187 Use operations with functions activity Composition Power Function CC.2.2.HS.C Use Inverse Functions How do you find the inverse relation of a given function? Inverse Relation Inverse Function CC.2.2.HS.C Graph Square Root and Cube Root Functions What do the square root and cube root functions look like? Radical Function Parent Function
7 CC.2.2.HS.C.1 CC.2.2.HS.C.5 CC.2.2.HS.C Solve Radical Equations Why is it necessary to check your solution in a radical equation? Page Alternative Methods Page Solve Radical Inequalities Extension Radical Equation Extraneous Solution
8 UNIT 4 : Chapter 4 Exponential and Logarithmic Functions UNIT : How do you graph and solve exponential and log equations? How do you write exponential and power functions? CC.2.2.HS.C.2 CC.2.2.HS.C.5 CC.2.2.HS.C Graph Exponential Growth Functions What does the graph of an exponential function look like? Growth Factor Exponential Function Exponential Growth Exponential Decay Asymptote 4.2 Graph Exponential Decay Functions What does the graph of an exponential decay function look like? Page 242 Transform Expressions of Exponential Functions Extension Exponential Decay Function Exponential Decay Factor Transformations CC.2.2.HS.C.1 CC.2.2.HS.C Use Functions Involving e When is the natural base e useful? Natural Base e CC.2.2HS.C Evaluate Logarithms and Graph Logarithmic Functions What is the relationship between logarithmic and exponential functions? Logarithm of y with base b Common Log Natural Log 4.5 Apply properties of logarithms How can you simplify log expressions/equations with log properties? Page 266 Graph Logarithmic Functions Activity Base
9 CC.2.2.HS.C.1 CC.2.2.HS.C.2 CC.2.2.HS.C Solve Exponential and Log Equations Why do log equations sometimes have extraneous solutions? Extraneous Solutions Exponential Equation Log Equation
10 UNIT: Chapter 5 Rational Functions UNIT : How can the student solve and graph rational equations? How can you perform operations with rational expressions? CC.2.2.HS.C Model Inverse and Joint Variation What are the differences between direct, inverse, and joint variation? Inverse variation Constant of variation Joint variation CC.2.2.HS.D.6 CC2.2.HS.D Graph Simple Rational Functions What does the graph of a rational function look like? p. 317 extension rewrite rational expressions Rational function Domain Range Asymptote 5.3 Graph General Rational Functions What are the steps for graphing a general rational function? End behavior Asymptote Rational function CC2.2.HS.E Multiply and Divide rational expressions What are the steps for multiplying and dividing rational expressions? Simplified form of rational expression Reciprocal 5.5 Add and Subtract rational expressions What are the steps for adding or subtracting rational expressions with different denominators? Complex fraction
11 CC2.2.HS.E.6 CC2.2.HS.E Solve rational Equations What are the steps for solving rational equations? p alternative methods Cross multiplying Extraneous solution CC.2.2.HS.E Describe and compare function characteristics How do you compare functions represented in different ways? Increasing and decreasing Odd function Even function
12 UNIT: Chapter 6 Data analysis and statistics UNIT : CC.2.4.HS.B Use combinations and the binomial theorem How can you determine the number of ways a certain number of objects can be taken from a larger set? Regular don t do binomial theorem Combination Pascal s triangle Binomial theorem CC.2.4.HS.B Use Normal Distributions What are values that occur on normal distribution curve? Generalize Normal Distribution Standard normal distribution CC.2.4.HS.B Select and draw conclusions from samples What should be true of the sample when you construct a survey? Population Sample Unbiased sample Biased sample Margin of error CC.2.4.HS.B Compare survey s, experiments, and observational studies How do you collect data that accurately represent a population? Biased questions Experiment Observational study Controlled experiment Control group Treatment group Randomized comparative experiment
13 UNIT: Chapter 7 Sequences and Series UNIT : How do you analyze and find sums of sequences and series? CC.2.2.HS.D.1 CC.2.2.HS.D.2 CC.2.2.HS.C.1 CC.2.2.HS.C Define and use sequences and series 7.2 Analyze arithmetic sequences and series How can you write an expression from a sequence? How can you tell that a sequence is arithmetic? Sequence Terms of a sequence Series Summation notation Sigma notation Arithmetic sequence Common difference Arithmetic series 7.3 Analyze geometric sequences and series How can you find the sum of the terms of a geometric series? Geometric sequence Common ratio Geometric series 7.4 Find sums of infinite geometric series When does an infinite geometric series have a sum, and when does it not have a sum? Accelerated only Partial sum 7.5 Use recursive rules with sequences and functions How do you write a recursive rule for an arithmetic sequence and for a geometric sequence? Accelerated only Extension: Translate between recursive and explicit rule for sequences Explicit rule Recursive rule iteration
14 UNIT: Chapter 8 Quadratic Relations and conic sections UNIT : How will the student write and graph conic sections? CC.2.3.HS.A Apply the distance and midpoint formulas If you are given the coordinates of the endpoints of the diameter of a circle, how can you find the center and radius of the circle? Distance formula Midpoint formula CC.2.2.HS.A Graph and write equations and parabolas Which two features of a parabola are equidistant from its vertex? Accelerated only focus DirectX Parabola Vertex CC.2.2.HS.A Graph and write equations and circles What information do you need to write the equation of a circle with center (0,0)? Center Circle radius CC.2.2.HS.A Graph and write equations and ellipses What points do you need to write an equation of an ellipse? Ellipse Foci Vertices Major axis Center Covertices Minor axis
15 CC.2.2.HS.A Graph and write equations of hyperbolas What kind of figure can be used to locate the vertices and asymptotes of a hyperbola? Hyperbola Foci Vertices Transverse axis Center CC.2.2.HS.D.1 CC.2.2.HS.D.2 CC.2.2.HS.D Solve quadratic systems How can you identify the points of intersection of two distinct conics? Extension p Quadratic system
16 UNIT: chapter 9 10Trigonometric ratios and functions UNIT : How will the student use and apply trig functions? CC.2.3.HS.A.7 CC.2.2.HS.C.7 CC2.2.HS.C Use trigonometry with right triangles How are trigonometric functions used in right triangles? Sine Cosine Tangent Cosecant Secant Cotangent 9.2 Define General angles and use radian measure What is radian measure? Initial side Terminal side Standard position Coterminal Radian Sector Central angle 9.3 evaluate trigonometric functions of any angle How can you evaluate trigonometric functions of any angle? Unit circle Quadrantal angle Reference angle 9.4 Evaluate inverse trigonometric functions How are inverse trigonometric functions used? Accelerated Only Inverse sine Inverse cosine Inverse tangent
17 CC.2.3.HS.A.7 CC.2.2.HS.C.7 CC2.2.HS.C Apply the law of Sines When can the law of sines be used to solve a triangle? Law of sines 9.6 Apply the law of Cosines In which cases can the law of cosines be used to solve a triangle? Law of cosines 10.1 Graph sine, cosine, and tangent functions Compare the graphs of the trig functions? Amplitude Periodic function Cycle Period Frequency 10.4 Solve Trigonometric Equations How can you write the general solution of a trigonometric equation? Extraneous solution
Centerville 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) 11 SMP1 1. How do you use a number line to graph and order real numbers? 2. How do you identify
More information1.9 CC.912.A.REI.4b graph quadratic inequalities find solutions to quadratic inequalities
1 Quadratic Functions and Factoring 1.1 Graph Quadratic Functions in Standard Form 1.2 Graph Quadratic Functions in Vertex or Intercept Form 1.3 Solve by Factoring 1.4 Solve by Factoring 1.5 Solve Quadratic
More informationPreCalculus. Curriculum (447 topics additional topics)
PreCalculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.
More 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 informationPreCalculus. Curriculum (637 topics additional topics)
PreCalculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.
More informationAlgebra 2 with Trigonometry Correlation of the ALEKS course Algebra 2 with Trigonometry to the Tennessee Algebra II Standards
Algebra 2 with Trigonometry Correlation of the ALEKS course Algebra 2 with Trigonometry to the Tennessee Algebra II Standards Standard 2 : Number & Operations CLE 3103.2.1: CLE 3103.2.2: CLE 3103.2.3:
More informationAlgebra 2. Chapter 4 Exponential and Logarithmic Functions. Chapter 1 Foundations for Functions. Chapter 3 Polynomial Functions
Algebra 2 Chapter 1 Foundations for Chapter 2 Quadratic Chapter 3 Polynomial Chapter 4 Exponential and Logarithmic Chapter 5 Rational and Radical Chapter 6 Properties and Attributes of Chapter 7 Probability
More informationMuskogee Public Schools Curriculum Map
Muskogee Public Schools Curriculum Map 200920010 Course: Algebra II Grade Level: 912 Nine 1 st Nine Standard 1: Number Systems and Algebraic Operations  The student will perform operations with rational,
More informationCollege Algebra with Trigonometry
College Algebra with Trigonometry This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (556 topics + 614 additional
More informationAlgebra II/Geometry Curriculum Guide Dunmore School District Dunmore, PA
Algebra II/Geometry Dunmore School District Dunmore, PA Algebra II/Geometry Prerequisite: Successful completion of Algebra 1 Part 2 K Algebra II/Geometry is intended for students who have successfully
More informationTennessee s State Mathematics Standards Precalculus
Tennessee s State Mathematics Standards Precalculus Domain Cluster Standard Number Expressions (NNE) Represent, interpret, compare, and simplify number expressions 1. Use the laws of exponents and logarithms
More informationMCPS 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
More informationAlgebra 2 Pearson High School SY
Chapters Total School Days Algebra 2 Pearson High School 20172018 SY Benchmark Cycle1 Benchmark Cycle2 Benchmark Cycle 3 Cycle 4 September 5 October 31 BM Window Opens Nov 1 Term 1 ends Nov 13 November
More informationCopyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 2/10
Prep for Calculus This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (281 topics + 125 additional topics) Real
More informationCurriculum Catalog
20172018 Curriculum Catalog 2017 Glynlyon, Inc. Table of Contents PRECALCULUS COURSE OVERVIEW...1 UNIT 1: RELATIONS AND FUNCTIONS... 1 UNIT 2: FUNCTIONS... 1 UNIT 3: TRIGONOMETRIC FUNCTIONS... 2 UNIT
More informationAldine I.S.D. Benchmark Targets/ Algebra 2 SUMMER 2004
ASSURANCES: By the end of Algebra 2, the student will be able to: 1. Solve systems of equations or inequalities in two or more variables. 2. Graph rational functions and solve rational equations and inequalities.
More informationPreCalculus and Trigonometry Capacity Matrix
Review Polynomials A1.1.4 A1.2.5 Add, subtract, multiply and simplify polynomials and rational expressions Solve polynomial equations and equations involving rational expressions Review Chapter 1 and their
More informationSTEMPrep Pathway SLOs
STEMPrep Pathway SLOs Background: The STEMPrep 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 informationNew Jersey Quality Single Accountability Continuum (NJQSAC) ACED 14; AREI 12,57; FIF 12, 45; NQ 13; NRN
New Jersey Quality Single Accountability Continuum (NJQSAC) (former ICM) Date: Unit 1, September 430 How do we use functions to solve real world problems? How can we model a reallife situation with a
More information_Algebra 2 Marking Period 1
_Algebra 2 Marking Period 1 Topic Chapters Number of Blocks Dates Equations and Inequalities 1 8 9/99/27 PRETEST 1 9/2710/2 Linear Relations and Functions 2 10 12/310/25 System of Equations and Inequalities
More informationCourse Number 420 Title Algebra I Honors Grade 9 # of Days 60
WhitmanHanson Regional High School provides all students with a high quality education in order to develop reflective, concerned citizens and contributing members of the global community. Course Number
More informationUnit Overview. Content Area: Algebra 2 Unit Title: Preparing for Advanced Algebra Target Course/Grade Level Duration: 10 days
Content Area: Algebra 2 Unit Title: Preparing for Advanced Algebra Target Course/Grade Level Duration: 10 days 11 th or 12 th graders Description This chapter 0 contains lessons on topics from previous
More informationAlgebra 2 with Trigonometry
Algebra 2 with Trigonometry This course covers the topics shown below; new topics have been highlighted. Students navigate learning paths based on their level of readiness. Institutional users may customize
More informationcorrelated to the Washington D.C. Public Schools Learning Standards Algebra II
correlated to the Washington D.C. Public Schools Learning Standards Algebra II McDougal Littell Algebra 2 2007 correlated to the Washington DC Public Schools Learning Standards Algebra II NUMBER SENSE
More informationThis image cannot currently be displayed. Course Catalog. Algebra II Glynlyon, Inc.
This image cannot currently be displayed. Course Catalog Algebra II 2016 Glynlyon, Inc. Table of Contents COURSE OVERVIEW... 1 UNIT 1: SET, STRUCTURE, AND FUNCTION... 1 UNIT 2: NUMBERS, SENTENCES, AND
More informationAlgebra II. A2.1.1 Recognize and graph various types of functions, including polynomial, rational, and algebraic functions.
Standard 1: Relations and Functions Students graph relations and functions and find zeros. They use function notation and combine functions by composition. They interpret functions in given situations.
More informationHonors Algebra II/Trigonometry
Honors Algebra II/Trigonometry Scranton School District Scranton, PA Honors Algebra II/Trigonometry Prerequisite: Successful completion of Geometry or Honors Geometry Be in compliance with the SSD Honors
More informationTHEIR GRAPHS, AND THEIR
St. Michael Albertville High School Teacher: Kim Benson Algebra 2 (Master) August 2015 CEQs: WHAT RELATIONSHIP S EXIST BETWEEN VARIOUS FUNCTIONS, THEIR GRAPHS, AND THEIR SOLUTION(S)? HOW DO WE SIMPLIFY
More informationCurriculum Map: Mathematics
Curriculum Map: Mathematics Course: Honors Algebra II Grade(s): 9/10 Unit 1: Expressions, Equations, and Inequalities In this unit, students review basics concepts and skills of algebra studied in previous
More informationPreCalculus and Trigonometry Capacity Matrix
PreCalculus and Capacity Matri Review Polynomials A1.1.4 A1.2.5 Add, subtract, multiply and simplify polynomials and rational epressions Solve polynomial equations and equations involving rational epressions
More informationMATHia Unit MATHia Workspace Overview TEKS
1 Function Overview Searching for Patterns Exploring and Analyzing Patterns Comparing Familiar Function Representations Students watch a video about a wellknown mathematician creating an expression for
More informationSaxon Advanced Mathematics Scope and Sequence
hmhco.com Saxon Advanced Mathematics Scope and Sequence Foundations Calculator Perform twovariable analysis Use graphing calculators Find roots of equations Solve systems of equations Exponentials and
More informationIntermediate Algebra
Intermediate Algebra The purpose of this course is to strengthen students foundational conceptual and procedural skills in order to prepare students for collegeandcareer readiness. The course textbook,
More informationIntegrated Math III. IM3.1.2 Use a graph to find the solution set of a pair of linear inequalities in two variables.
Standard 1: Algebra and Functions Students solve inequalities, quadratic equations, and systems of equations. They graph polynomial, rational, algebraic, and piecewise defined functions. They graph and
More informationHow well do I know the content? (scale 1 5)
Page 1 I. Number and Quantity, Algebra, Functions, and Calculus (68%) A. Number and Quantity 1. Understand the properties of exponents of s I will a. perform operations involving exponents, including negative
More information, Precalculus, Quarter 1
2017.18, Precalculus, Quarter 1 The following Practice Standards and Literacy Skills will be used throughout the course: Standards for Mathematical Practice Literacy Skills for Mathematical Proficiency
More informationCurriculum Guide College Algebra
Unit 1: Review of Basic Algebra Polynomial literally means many names. What is the significance of the many names for God in the Bible? 15 Lessons CA#1 1. Add/subtract/multiply/divide polynomials. 2. Factor
More informationPearson 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...
More informationAlgebra 2 Secondary Mathematics Instructional Guide
Algebra 2 Secondary Mathematics Instructional Guide 20092010 ALGEBRA 2AB (Grade 9, 10 or 11) Prerequisite: Algebra 1AB or Geometry AB 310303 Algebra 2A 310304 Algebra 2B COURSE DESCRIPTION Los Angeles
More informationUnit 1. Revisiting Parent Functions and Graphing
Unit 1 Revisiting Parent Functions and Graphing Revisiting Statistics (Measures of Center and Spread, Standard Deviation, Normal Distribution, and ZScores Graphing abs(f(x)) and f(abs(x)) with the Definition
More informationAlgebra III. Mathematics Curriculum Framework. Revised 2004
Algebra III Mathematics Curriculum Framework Revised 2004 Title: Algebra III (Fourthyear Course) Course/Unit Credit: 1 Course Number: Teacher Licensure: Secondary Mathematics Prerequisite: Algebra II
More informationIntegrated Mathematics I, II, III 2016 Scope and Sequence
Mathematics I, II, III 2016 Scope and Sequence I Big Ideas Math 2016 Mathematics I, II, and III Scope and Sequence Number and Quantity The Real Number System (NRN) Properties of exponents to rational
More informationGrade 8 Math Curriculum Map Erin Murphy
Topic 1 Variables and Expressions 2 Weeks Summative Topic Test: Students will be able to (SWBAT) use symbols o represent quantities that are unknown or that vary; demonstrate mathematical phrases and realworld
More informationAlgebra II. Key Resources: Page 3
Algebra II Course This course includes the study of a variety of functions (linear, quadratic higher order polynomials, exponential, absolute value, logarithmic and rational) learning to graph, compare,
More informationAlgebra 2 College Prep Curriculum Maps
Algebra 2 College Prep Curriculum Maps Unit 1: Polynomial, Rational, and Radical Relationships Unit 2: Modeling With Functions Unit 3: Inferences and Conclusions from Data Unit 4: Trigonometric Functions
More informationUNIT 3 MATHEMATICAL METHODS ALGEBRA
UNIT 3 MATHEMATICAL METHODS ALGEBRA Substitution of Values Rearrangement and Substitution Polynomial Expressions Expanding Expressions Expanding Expressions by Rule Perfect Squares The Difference of Two
More informationPA Core Standards For Mathematics Curriculum Framework Algebra 1
Rational Represent /or use numbers CC.2.1.HS.F.1 A1.1.1.1.1 Irrational in equivalent forms (integers, CC.2.1.HS.F.2 A1.1.1.1.2 Numbers fractions, decimals, percent s, A1.1.1.3.1 square roots, exponents).
More informationPrecalculus. Course Text. Course Description. Course Objectives. StraighterLine MAT201: Precalculus
Precalculus Course Text Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. Precalculus, 6th edition, McGrawHill, 2008. ISBN: 9780073312637 [This text is available as an etextbook at purchase
More informationALGEBRA II Aerospace/Engineering
ALGEBRA II Program Goal 5: The student recognizes the importance of mathematics. Number Systems & Their Properties Demonstrate an understanding of the real # system; recognize, apply, & explain its properties;
More informationSequenced Units for Arizona s College and Career Ready Standards MA40 Algebra II
Sequenced Units for Arizona s College and Career Ready Standards MA40 Algebra II Year at a Glance Semester 1 Semester 2 Unit 1: Linear Functions (10 days) Unit 2: Quadratic Functions (10 days) Unit 3:
More informationMathematics Precalculus: Academic Unit 7: Conics
Understandings Questions Knowledge Vocabulary Skills Conics are models of reallife situations. Conics have many reflective properties that are used in every day situations Conics work can be simplified
More informationSemester Review Packet
MATH 110: College Algebra Instructor: Reyes Semester Review Packet Remarks: This semester we have made a very detailed study of four classes of functions: Polynomial functions Linear Quadratic Higher degree
More informationALGEBRA II (COMMON CORE) FACTS YOU MUST KNOW COLD FOR THE REGENTS EXAM
ALGEBRA II (COMMON CORE) FACTS YOU MUST KNOW COLD FOR THE REGENTS EXAM NYS Mathematics Regents Preparation Created by Trevor Clark Algebra II [Common Core] Regents Exam Study Guide ALGEBRA & FUNCTIONS
More informationMTH306: Algebra II. Course length: Two semesters. Materials: None
MTH306: Algebra II Students are able to gain credit if they have previously completed this course but did not successfully earn credit. For each unit, students take a diagnostic test that assesses their
More informationNew Jersey Quality Single Accountability Continuum (NJQSAC) ASSE 12; ACED 1,4; AREI 13, FIF 15, 7a
ALGEBRA 2 HONORS Date: Unit 1, September 430 How do we use functions to solve real world problems? What is the meaning of the domain and range of a function? What is the difference between dependent variable
More informationALGEBRA 2/MATH 3 COURSE 1
ALGEBRA 2/MATH 3 COURSE 1 TABLE OF CONTENTS NUMBER AND QUANTITY 6 THE REAL NUMBER SYSTEM (N.RN) 6 EXTEND THE PROPERTIES OF EXPONENTS TO RATIONAL EXPONENTS. (N.RN.12) 6 Expectations for Learning 6 Content
More informationPrecalculus. Represent complex numbers and their operations on the complex plane.
Precalculus Precalculus is designed for students who have successfully completed the Algebra II with Trigonometry course. This course is considered to be a prerequisite for success in calculus and college
More informationAlgebra 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.
More informationnonadjacent angles that lie on opposite sides of the transversal and between the other two lines.
WORD: Absolute Value DEFINITION: The distance from zero, distance is always positive. WORD: Absolute Value Function DEFINITION: A function whose rule contains an absolute value expression. EXAMPLE(S) COUNTEREXAMPLE(S):
More informationAlgebra 34 Honors PUHSD Curriculum. PARCC MODEL CONTENT FRAMEWORK FOR ALGEBRA 34 Honors
PARCC MODEL CONTENT FRAMEWORK FOR ALGEBRA 34 Honors Building on their work in Algebra I with linear and quadratic functions, students in Algebra II expand their repertoire by working with rational and
More informationAlgebra 2 CP and Algebra 2 A/B Curriculum Pacing Guide First Nine Weeks
Algebra CP and Algebra A/B Curriculum Pacing Guide 0304 First Nine Weeks Unit Functions A.APR. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations
More information3. (+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.
Mathematics Standards for Trigonometry/Precalculus The Kansas College and Career Ready high school standards specify the mathematics that all students should study in order to be college and career ready.
More informationIntegrated Math 3 Math 3 Course Description:
Course Description: Integrated Math 3 Math 3 Course Description: Integrated strands include algebra, functions, geometry, trigonometry, statistics, probability and discrete math. Scope and sequence includes
More informationPrerequisite knowledge/skills: Before entering the course the student should be able to
Reviewed by: Brian Jean Reviewed by: Diane Jones Reviewed by: Joy Reynolds Reviewed by: Greg Golling Date reviewed: September 14, 2015 C&GE Approved: October 12, 2015 Board Approved: November 11, 2015
More informationAlgebra 2 Math Curriculum Pacing Guide (Revised 2017) Amherst County Public Schools. Suggested Sequence of Instruction and Pacing
Algebra 2 Math Curriculum Pacing Guide (Revised 2017) Amherst County Public Schools Suggested Sequence of Instruction and Pacing 1st 9weeks Unit 1  Solving Equations and Inequalities (including absolute
More informationLake Elsinore Unified School District Pacing Guide & Benchmark Assessment Schedule Algebra 1 Essentials
1.0 Students identify and use the arithmetic properties of subsets of integers, including closure properties for the four basic arithmetic operations where applicable: 1.1 Students use properties of numbers
More informationTrigonometry/Calculus
/Calculus Dunmore School District Dunmore, PA /Calculus Prerequisite: Successful completion of Algebra II In the first half of the course students will study., helps students develop skills sufficiently
More informationNEW YORK ALGEBRA TABLE OF CONTENTS
NEW YORK ALGEBRA TABLE OF CONTENTS CHAPTER 1 NUMBER SENSE & OPERATIONS TOPIC A: Number Theory: Properties of Real Numbers {A.N.1} PART 1: Closure...1 PART 2: Commutative Property...2 PART 3: Associative
More informationHow can you solve a multistep. How can you solve an absolute value equation? How can you solve and absolute value. inequality?
WDHS Curriculum Map Course: Algebra 1 June 2015 Time Interval/ Content Standards/ Strands Essential Questions Skills Assessment Unit 1 Transfer Goal: Recognize and solve practical or theoretical problems
More informationGrade 12 PreCalculus
Albuquerque School of Excellence Math Curriculum Overview Grade 12 PreCalculus Module Complex Numbers and Transformations Module Vectors and Matrices Module Rational and Exponential Functions Module Trigonometry
More informationCommon Core State Standards for Mathematics  High School PARRC Model Content Frameworks Mathematics Algebra 2
A Correlation of CME Project Algebra 2 Common Core 2013 to the Common Core State Standards for , Common Core Correlated to the Number and Quantity The Real Number System N RN Extend the properties of exponents
More informationElementary Algebra
Elementary Algebra 9781635450088 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 informationEQUATIONS, INEQUALITIES, FUNCTIONS Planning the Unit Unit 1 Overview 1 Getting Ready 2
vx_sb_a2_te_fm_toc.indd Page 5 15/04/14 1:55 PM usergw728 To the Teacher Instructional Units UNIT 1 EQUATIONS, INEQUALITIES, FUNCTIONS 1a Unit 1 Overview 1 Getting Ready 2 Activity 1 Creating Equations
More informationLone Star CollegeCyFair Formula Sheet
Lone Star CollegeCyFair Formula Sheet The following formulas are critical for success in the indicated course. Student CANNOT bring these formulas on a formula sheet or card to tests and instructors MUST
More informationAlgebra Vocabulary. abscissa
abscissa The xvalue of an ordered pair that describes the horizontal distance from the xaxis. It is always written as the first element in the ordered pair. 3 is the abscissa of the ordered pair (3,
More informationHigh School Mathematics Math IV
High School Mathematics Math IV The fundamental purpose of Mathematics IV is to generalize and abstract learning accumulated through previous courses and to provide the final springboard to calculus. Students
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 informationTABLE OF CONTENTS. A+, A+LS, and A+nyWhere Learning System are either trademarks or registered trademarks of The American Education Corporation.
TABLE OF CONTENTS Mathematics Curriculum... 1 Algebra I, Part 1... 2 Algebra I, Part 2... 6 Algebra II, Part 1... 8 Algebra II, Part 2... 11 Calculus I... 13 Calculus II... 15 Geometry... 17 Mathematics
More informationHonors Precalculus Yearlong Mathematics Map
Honors Precalculus Yearlong Mathematics Map Resources: Approved from Board of Education Assessments: District Benchmark Assessments Common Core State Standards Standards for Mathematical Practice: 1. Make
More informationMATHEMATICS Video List
LIBRARY SERVICES MATHEMATICS Video List Macon Campus Library June 2010 MATHEMATICS Basic College Mathematics 6e 2009  LEARNING SUPPORT Textbook (DVD, 4 discs) 1. 1.1 Understanding Whole Numbers 1.2 Adding
More informationCommon Core State Standards. Clusters and Instructional Notes Perform arithmetic operations with complex numbers. 5.6
Algebra II Unit 1: Polynomial, Rational, and Radical Relationships This unit develops the structural similarities between the system of polynomials and the system of integers. Students draw on analogies
More informationAlgebra 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.
More informationChapter R  Basic Algebra Operations (94 topics, no due date)
Course Name: Math 00024 Course Code: N/A ALEKS Course: College Algebra Instructor: Master Templates Course Dates: Begin: 08/15/2014 End: 08/15/2015 Course Content: 207 topics Textbook: Barnett/Ziegler/Byleen/Sobecki:
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 informationUnit Overview. Content Area: Algebra 2 Unit Title: Preparing for Advanced Algebra Target Course/Grade Level Duration: 10 days
Content Area: Algebra 2 Unit Title: Preparing for Advanced Algebra Target Course/Grade Level Duration: 10 days 11 th or 12 th graders Unit Overview Description This chapter 0 contains lessons on topics
More informationHow do you write and evaluate algebraic expressions? How can algebraic expressions and equations represent actual situations?
Topic: Expressions, Equations and Functions Days: 13 Key Learning: Expressions, equations, tables and graphs are used to model realworld situations. Unit Essential Question(s): How do you write and evaluate
More informationCurriculum Catalog. Algebra II Glynlyon, Inc Released
Curriculum Catalog Algebra II 2011 Glynlyon, Inc Released 4111 Welcome to SwitchedOn Schoolhouse! We are excited that you are including SwitchedOn Schoolhouse as part of your program of instruction,
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 informationComposition of and the Transformation of Functions
1 3 Specific Outcome Demonstrate an understanding of operations on, and compositions of, functions. Demonstrate an understanding of the effects of horizontal and vertical translations on the graphs of
More information1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.
Math120  Precalculus. Final Review. Fall, 2011 Prepared by Dr. P. Babaali 1 Algebra 1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.
More informationAlgebra 2 Mississippi College and Career Readiness Standards for Mathematics RCSD Unit 1 Data Relationships 1st Nine Weeks
1 st Nine Weeks Algebra 2 Mississippi College and Career Readiness Standards for Mathematics Unit 1 Data Relationships Level 4: I can interpret key features of graphs and tables in terms of the quantities.
More informationAgile 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,
More informationSTATE COUNCIL OF EDUCATIONAL RESEARCH AND TRAINING TNCF DRAFT SYLLABUS.
STATE COUNCIL OF EDUCATIONAL RESEARCH AND TRAINING TNCF 2017  DRAFT SYLLABUS Subject :Mathematics Class : XI TOPIC CONTENT Unit 1 : Real Numbers  Revision : Rational, Irrational Numbers, Basic Algebra
More informationA video College Algebra course & 6 Enrichment videos
A video College Algebra course & 6 Enrichment videos Recorded at the University of Missouri Kansas City in 1998. All times are approximate. About 43 hours total. Available on YouTube at http://www.youtube.com/user/umkc
More informationMathematics. Algebra II Curriculum Guide. Curriculum Guide Revised 2016
Mathematics Algebra II Curriculum Guide Curriculum Guide Revised 016 Intentionally Left Blank Introduction The Mathematics Curriculum Guide serves as a guide for teachers when planning instruction and
More informationPreCalculus and Trigonometry Capacity Matrix
Information PreCalculus and Capacity Matri Review Polynomials A1.1.4 A1.2.5 Add, subtract, multiply and simplify polynomials and rational epressions Solve polynomial equations and equations involving
More informationMathematics: Algebra II Honors Unit 1: Quadratic Functions
Understandings Questions Knowledge Vocabulary Skills Quadratic functions can be used to model reallife situations. What are the properties of Algebra and how are these used to solve quadratic equations?
More informationMathematics Three Points
Subject Pre Mathematics Three Points and Statistics Probability Topics Unit 1 Basic operations, Fractions, Factors, Arithmetic Progression, Quadratic Equations, Reading Graphs, Profit and Loss Percentages,
More informationCHAPTER EIGHT: SOLVING QUADRATIC EQUATIONS Review April 9 Test April 17 The most important equations at this level of mathematics are quadratic
CHAPTER EIGHT: SOLVING QUADRATIC EQUATIONS Review April 9 Test April 17 The most important equations at this level of mathematics are quadratic equations. They can be solved using a graph, a perfect square,
More information