1.9 CC.912.A.REI.4b graph quadratic inequalities find solutions to quadratic inequalities

 Easter Lynch
 8 months ago
 Views:
Transcription
1 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 Equations by Finding Square Roots 1.6 Perform Operations with Complex Numbers 1.7 Complete the Square 1.8 Use the Quadratic Formula and the Discriminant 1.9 Graph and Solve Quadratic Inequalities 1.1 CC.912.F.IF.7a* 2 explain what the parent function is identify max/min if a quadratic function find the y intercept graph quadratic function using evaluated points 1.2 CC.912.F.IF.7a* estimate the vertex of quadratic function estimate the x intercept use technology to find the x intercept 1.3 CC.912.A.SSE.3a* factor an expression to find the zeros 1.4 CC.912.A.SSE.3a* factor an expression to find the zeros 1.5 CC.912.A.REI.4b solve quadratic equations by finding square roots 1.6 CC.912.N.CN.2 identify that i is a complex number identify that is 1 use commutative & associative properties to add and subtract complex numbers use commutative, associative & distributive properties to multiply complex numbers 1.7 CC.912.A.REI.4a identify a quadratic expression identify a perfect square trinomial factor a perfect square trinomial complete the square derive the quadratic formula by completing the square 1.8 CC.912.N.CN.7 determine when a quadratic equation in standard form, has complex roots by calculating the discriminant solve quadratic equations with real numbers as coefficients express the solutions of a quadratic equation as a complex number a+bi
2 1.9 CC.912.A.REI.4b graph quadratic inequalities find solutions to quadratic inequalities 2 Polynomials and Polynomial Functions 2.1 Use Properties of Exponents 2.2 Evaluate and Graph Polynomial Functions 2.3 Add, Subtract, and Multiply Polynomials 2.4 Factor and Solve Polynomial Equations 2.5 Apply the Remainder and Factor Theorems 2.6 FindRationalZeros 2.7 Apply the Fundamental Theorem of Algebra 2.8 Analyze Graphs of Polynomial Functions 2.1 CC.912.N.RN.1 apply properties of exponents to simplify algebraic expressions with rational exponents apply the definition of the nth root 2.2 CC.912.F.IF.7c* define a polynomial identify the degree of the polynomial use technology to graph a polynomial 2.3 CC.912.A.APR.1 apply the definition of an integer apply the definition of a polynomial add & subtract polynomials multiply polynomials 2.4 CC.912.A.SSE.2 look for & identify clues in the structure of expressions to rewrite in another way explain why equivalent expressions are equivalent apply models for factoring and multiplying polynomials to rewrite expressions 2.5 CC.912.A.APR.2 divide polynomials using long division & synthetic division 2.6 CC.912.A.APR.2 apply the remainder theorem to determine if a divisor is a factor of the polynomial 2.7 CC.912.N.CN.9 (+) explain the Fundamental Theorem of Algebra in my own words by using simple polynomials & their graphs 2.8 CC.912.F.IF.7c* determine the x intercept of a polynomial when looking at a graph determine the end behavior of a polynomial by looking at the degree & leading coefficient of the equation
3 3 Rational Exponents and Radical Functions 3.1 Evaluate nth Roots and Use Rational Exponents 3.2 Apply Properties of Rational Exponents 3.3 Perform Function Operations and Composition 3.4 Use Inverse Functions 3.5 Graph Square Root and Cube Root Functions 3.6 Solve Radical Equations 3.1 CC.912.N.RN.1 Apply the definition of an nth root 3.2 CC.912.N.RN.2 Apply the properties of exponents to simplify algebraic expressions with rational exponents Write radical expressions as expressions with rational exponents Write expressions with rational exponents as radical expressions 3.3 CC.912.F.BF.1* Compose two or more functions Explain a multistep real world problem in terms of function composition and write an equation to describe the composition 3.4 CC.912.F.BF.4 Write the inverse of a function by solving Write the inverse of a function in standard notation Use the composition of functions to verify the functions are inverses Decide if the function has an inverse Use the definitions of function, inverse function, and onetoone function List the values of an inverse given a table or graph 3.5 CC.912.F.IF.7b* Explain the parent function of a square root Sketch the graph of a square root function Use technology to graph a square root function Explain the parent function of a cube root Sketch the graph of a cube root function Use technology to graph a cube root function 3.6 CC.912.A.REI.2 Solve a radical equation in one variable Determine which numbers cannot be solutions of a radical equation and be able to explain why Generate examples of radical equations with extraneous solutions
4 4 Exponential and Logarithmic Functions 4.1 Graph Exponential Growth Functions 4.2 Graph Exponential Decay Functions 4.3 Use Functions Involving e 4.4 Evaluate Logarithms and Graph Logarithmic Functions 4.5 Apply Properties of Logarithms 4.6 Solve Exponential and Logarithmic Equations 4.7 Write and Apply Exponential and Power Functions 4.1 CC.912.F.IF.7e* Explain the parent function for exponential functions Determine the domain, range, and end behavior looking at a graph Classify the graph as growth Substitute values for x, and make a table to graph the function Explain how geometric transformations changes a growth graph to decay 4.2 CC.912.F.IF.7e* Explain the parent function for exponential functions Determine the domain, range, and end behavior looking at a graph Classify the graph as decay Substitute values for x, and make a table to graph the function Explain how geometric transformations changes a growth graph to decay 4.3 CC.912.F.IF.7e* Graph logarithmic function use technology to graph logarithmic functions 4.4 CC.912.F.IF.7e* evaluate logarithmic functions when substituting values for x 4.5 CC.912.F.BF.5 (1) state the inverse of an exponential function is a logarithmic function (and vice versa) estimate or solve for the values of logarithms by evaluating powers of the base explain the inverse relationship between exponents and logarithms create the inverse of an exponential equation when given its table or graph and write the inverse in logarithmic form solve problems with variables in an exponent or logarithm by applying the inverse relationship to logarithms and exponents 4.6 CC.912.F.LE.4* define exponential function and logarithmic function write an exponential equation in logarithmic form and solve explain using the properties of exponentials and logarithms why are equivalent can use powers of 2 or 10 to estimate the value of or can use the calculator to evaluate a logarithm with a base of 10 or e and
5 apply the change of base formula to evaluate the logarithm with a base of 2 using a calculator 4.7 CC.912.F.LE.2* determine if a function is linear or exponential given a sequence, graph, verbal description, or table construct a linear function from an arithmetic sequence, graph, table of values, or a description of the relationship describe the algebraic process used to construct the exponential function that passes through two given points 5 Rational Functions 5.1 Model Inverse and Joint Variation 5.2 Graph Simple Rational Functions 5.3 Graph General Rational Functions 5.4 Multiply and Divide Rational Expressions 5.5 Add and Subtract Rational Expressions 5.6 Solve Rational Equations 5.7 Describe and Compare Function Characteristics 5.1 CC.912.A.CED.2* write the equation that best models the problem 5.2 CC.912.F.IF.7d (+)* sketch a graph of a rational function based on its domain, xintercepts, yintercept, and end behavior 5.3 CC.912.F.IF.7d (+)* use technology to graph rational functions 5.4 CC.912.A.APR.7 (+) multiply and divide rational expressions 5.5 CC.912.A.APR.7 (+) add and subtract rational expressions 5.6 CC.912.A.REI.2 solve a rational equation in one variable determine which numbers cannot be solutions of a radical equation and explain why 5.7 CC.912.F.IF.9 compare properties of two functions represented in different ways
6 6 Data Analysis and Statistics 6.1 Use Combinations and the Binomial Theorem 6.2 Construct and Interpret Binomial Distributions 6.3 Use Normal Distributions 6.4 Select and Draw Conclusions from Samples 6.5 Compare Surveys, Experiments, and Observational Studies 6.1 CC.912.A.APR.5 (+) apply the combination formula write the binomial expansion 6.2 CC.912.S.MD.3 (+)* define the random variable and construct a probability distribution table for possible values of the random variable 6.3 CC.912.S.ID.4* recognize that normal distributions are only appropriate for unimodal and symmetric shapes estimate the area under a normal curve 6.4 CC.912.S.IC.1* recognize that statistics involves drawing conclusions about a population based on the results obtained from a random sample of the population 6.5 CC.912.S.IC.3* describe the differences among sample surveys, experiments, and observational studies 7 Sequences and Series 7.1 Define and Use Sequences and Series 7.2 Analyze Arithmetic Sequences and Series 7.3 Analyze Geometric Sequences and Series 7.4 Find Sums of Infinite Geometric Series 7.5 Use Recursive Rules with Sequences and Functions 7.1 CC.912.F.IF.3 explain that a recursive formula tells how a sequence or series starts, and how to use the previous entry to generate the next entry 7.2 CC.912.F.BF.2* define an arithmetic sequence determine the common difference between two terms in an arithmetic sequence write a recursive rule for the arithmetic sequence 7.3 CC.912.A.SSE.4* define a finite geometric series and common ratio
7 7.4 CC.912.A.SSE.3* derive a formula for the sum of a finite and infinite geometric sequences series express the sum of a finite geometric series calculate the sum of a finite geometric series 7.5 CC.912.F.BF.2* explain that a recursive formula tells how a sequence starts and how to use the previous value to get the next element of the sequence 8 Quadratic Relations and Conic Sections 8.1 Apply the Distance and Midpoint Formulas 8.2 Graph and Write Equations of Parabolas 8.3 Graph and Write Equations of Circles 8.4 Graph and Write Equations of Ellipses 8.5 Graph and Write Equations of Hyperbolas 8.6 Translate and Classify Conic Sections 8.7 Solve Quadratic Systems 8.1 CC.912.G.GPE.4 use the distance and midpoint formula 8.2 CC.912.G.GPE.2 graph and write the equation of a parabola using the focus and directrix identify the focus and directrix 8.3 CC.912.G.GPE.1 graph and write the equation of a circle using the coordinates of the center, and its radius or diameter 8.4 CC.912.G.GPE.3 (+) define an ellipse identify the foci of an ellipse write and graph the equation of an ellipse identify the center, foci, axes, and asymptotes of a ellipse 8.5 CC.912.G.GPE.3 (+) define an hyperbola identify the foci of an hyperbola write and graph the equation of an hyperbola identify the center, foci, axes, and asymptotes of a hyperbola 8.6 CC.912.G.GPE.3 (+) identify elements in the equation to translate various conic sections 8.7 CC.912.A.REI.7 solve a system of quadratic equations using graphing, substitution or elimination
8 9 Trigonometric Ratios and Functions 9.1 Use Trigonometry with Right Triangles 9.2 Define General Angles and Use Radian Measure 9.3 Evaluate Trigonometric Functions of Any Angle 9.4 Evaluate Inverse Trigonometric Functions 9.5 Apply the Law of Sines 9.6 Apply the Law of Cosines 9.1 CC.912.G.SRT.6 use trigonometric ratios to identify sine, cosine and tangent 9.2 CC.912.F.TF.1 define the unit circle define the radian measure of an angle 9.3 CC.912.F.TF.2 label the unit circle in radians identify sine and cosine of an angle when given a graph of a unit circle with the labeled coordinates 9.4 CC.912.F.TF.6 (1) define inverse function explain why functions do not have inverses 9.5 CC.912.G.SRT.11 (1) apply the law of sines to find unknown side lengths and angle measures in right and nonright triangles 9.6 CC.912.G.SRT.11 (1) apply the law of cosines to find unknown side lengths and angle measures in right and nonright triangles 10 Trigonometric Graphs, Identities, and Equations 10.1 Graph Sine, Cosine, and Tangent Functions 10.2 Translate and Reflect Trigonometric Graphs 10.3 Verify Trigonometric Identities 10.4 Solve Trigonometric Equations 10.5 Write Trigonometric Functions and Models 10.6 Apply Sum and Difference Formulas 10.7 Apply DoubleAngle and HalfAngle Formulas 10.1 C.912.F.IF.7e* graph trigonometric functions showing period, midline and amplitude
9 10.2 CC.912.F.TF.5* define the amplitude, frequency, and midline of a trigonometric function 10.3 CC.912.F.TF.8 derive the Pythagorean identity by using the unit circle and definitions of sine and cosine and applying the Pythagorean Theorem 10.4 CC.912.F.TF.7(1)* solve trigonometric equations using inverse trigonometric functions 10.5 CC.912.F.TF.5* write a function notation for the trigonometric function that models a problem situation, given the amplitude, frequency (or period), and midline of a periodic situation 10.6 CC.912.F.TF.9(1) use the sum and difference formulas for sine, cosine, and tangent to solve for exact values of trigonometric functions of other angles use the sum and difference formulas for sine, and cosine to prove the sum and difference formulas for tangent 10.7 CC.912.F.TF.9(1) use the halfangle and double angle formulas to prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve the problems
Algebra II Learning Targets
Chapter 0 Preparing for Advanced Algebra LT 0.1 Representing Functions Identify the domain and range of functions LT 0.2 FOIL Use the FOIL method to multiply binomials LT 0.3 Factoring Polynomials Use
More 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 informationNew Jersey Quality Single Accountability Continuum (NJQSAC) Mathematics
New Jersey Quality Single Accountability Continuum (NJQSAC) Textbook(s): PRECALCULUS fifth edition by Larson /Hostetler Date: September 325 Chapter1 (A) How is the domain and range of a function determined
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 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 informationIt is in Secondary Mathematics III Critical Area 1 Critical Area 2: Critical Area 3: Critical Area 4:
It is in Secondary Mathematics III that students pull together and apply the accumulation of learning that they have from their previous courses, with content grouped into four critical areas, organized
More informationPreCalculus & Trigonometry Scope and Sequence
WHCSD Scope and Sequence PreCalculus/ 20172018 PreCalculus & Scope and Sequence Course Overview and Timing This section is to help you see the flow of the unit/topics across the entire school year.
More informationAlgebra II Curriculum Map
Theme for the Unit: Theme/Unit: Unit 1 Expressions, Equations, and Inequalities Pacing: 78 days (includes first day activities) Week: 12 Resources for the Multi Genre Unit Algebra II Curriculum Map
More informationDraft. Algebra 1 Lesson Correlation
CC Standard Saxon Algebra 1 Topic On Core N.RN.3 1 Classifying Real Numbers A.SSE.1 2 Understanding Variables and Expression 3 Simplifying Expressions Using the Product Property of Exponents 4 Using Order
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 informationSecondary Honors Algebra II Objectives
Secondary Honors Algebra II Objectives Chapter 1 Equations and Inequalities Students will learn to evaluate and simplify numerical and algebraic expressions, to solve linear and absolute value equations
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 informationIntegrated Algebra 2 Outline
Integrated Algebra 2 Outline Opening: Summer Work Review P.0 Demonstrate mastery of algebra, geometry, trigonometric and statistics basic skills Skills and Concepts Assessed in Summer Work for Mastery:
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) 11 SMP1 1. How do you use a number line to graph and order real numbers? 2. How do you identify
More informationPearson Algebra 1, Geometry, Algebra 2 Common Core North Carolina High School Mathematics Alignment to Traditional Text  MATH III
A Correlation of Pearson,, Common Core 2015 To the North Carolina High School Mathematics Alignment to Traditional Text  MATH III A Correlation of Pearson,, Common Core, 2015 Introduction This document
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 informationCurriculum Guide Algebra 2 Advanced
Unit 1: Equations and Inequalities Biblical Worldview Essential Questions: Is your life balanced as a believer? Are you a real Christian? 13 Lessons A2#1, A2#2 1. Use a number line to graph and order real
More informationSophomore Year: Algebra II Textbook: Algebra II, Common Core Edition Larson, Boswell, Kanold, Stiff Holt McDougal 2012
Sophomore Year: Algebra II Tetbook: Algebra II, Common Core Edition Larson, Boswell, Kanold, Stiff Holt McDougal 2012 Course Description: The purpose of this course is to give students a strong foundation
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 informationThe focus of SECONDARY Mathematics II Critical Area 1: Critical Area 2: Critical Area 3: Critical Area 4: Critica l Area 5: Critical Area 6:
The focus of SECONDARY Mathematics II is on quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Secondary
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 informationHomework. Basic properties of real numbers. Adding, subtracting, multiplying and dividing real numbers. Solve one step inequalities with integers.
Morgan County School District Re3 A.P. Calculus August What is the language of algebra? Graphing real numbers. Comparing and ordering real numbers. Finding absolute value. September How do you solve one
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 informationGrade 11 or 12 PreCalculus
Grade 11 or 12 PreCalculus Strands 1. Polynomial, Rational, and Radical Relationships 2. Trigonometric Functions 3. Modeling with Functions Strand 1: Polynomial, Rational, and Radical Relationships Standard
More informationGeorgia Standards of Excellence Curriculum Map. Mathematics. Accelerated GSE Geometry B / Algebra II
Georgia Standards of Excellence Curriculum Map Mathematics Accelerated GSE Geometry B / Algebra II These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.
More informationIntegrated Algebra Curriculum Map
Integrated Algebra Curriculum Map Semester 1: Units 1, 2 and 3 Semester 2: Units 4, 5, 6, and 7 Essential Unit 1: Relationships between Quantities and reasoning with Equations and Inequalities What makes
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 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 informationTopic Outline for Algebra 2 & and Trigonometry One Year Program
Topic Outline for Algebra 2 & and Trigonometry One Year Program Algebra 2 & and Trigonometry  N  Semester 1 1. Rational Expressions 17 Days A. Factoring A2.A.7 B. Rationals A2.N.3 A2.A.17 A2.A.16 A2.A.23
More 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 II Grades 912
Summer 2015 Units: 10 high school credits UC Requirement Category: c General Description: ALGEBRA II Grades 912 Algebra II is a course which further develops the concepts learned in Algebra I. It will
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 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 informationCurriculum Design Template. Course Title: Algebra 2/Trig HN Grade Level: 11
Curriculum Design Template Content Area: Mathematics Course Title: Algebra 2/Trig HN Grade Level: 11 Functions, Equations and Graphs Linear Systems Quadratic Equations and Functions Marking Period 1 Polynomials
More informationMarking Period 3. Marking Period 1. Marking Period 2. Marking Period 4. Relations. Relations
DEPARTMENT: Mathematics COURSE: Algebra Week Marking Period 1 Week Marking Period 3 1 Review Linear Equations & Functions 19 Rational Functions & Relations 2 Review Systems of Equations 20 Rational Functions
More informationTitle Grade 8 Algebra I 2013
Title Grade 8 Algebra I 2013 Type Essential Document Map Authors Elizabeth Tucker, Deborah Baxter, Kristin Iacobino, Jane Feret, Caryn Trautz, Melissa Cosgrove, Jaclyn Thomas Subject Mathematics Course
More informationAlgebra 2 (2006) Correlation of the ALEKS Course Algebra 2 to the California Content Standards for Algebra 2
Algebra 2 (2006) Correlation of the ALEKS Course Algebra 2 to the California Content Standards for Algebra 2 Algebra II  This discipline complements and expands the mathematical content and concepts of
More informationWA State Common Core Standards  Mathematics
Number & Quantity The Real Number System Extend the properties of exponents to rational exponents. 1. Explain how the definition of the meaning of rational exponents follows from extending the properties
More informationPrentice Hall Mathematics, Algebra Correlated to: Achieve American Diploma Project Algebra II EndofCourse Exam Content Standards
Core: Operations on Numbers and Expressions Priority: 15% Successful students will be able to perform operations with rational, real, and complex numbers, using both numeric and algebraic expressions,
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 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 informationSmarter Balanced Assessment Consortium
Smarter Balanced Assessment Consortium Mathematics Grade High School (th) Threshold Achievement Level Descriptors (ALD) With s, s and Standards This document was created using a combination of: Smarter
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 informationGeorgia Standards of Excellence Curriculum Map. Mathematics. GSE Algebra I
Georgia Standards of Excellence Curriculum Map Mathematics GSE Algebra I These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement. Georgia Department
More informationWorking with Radicals and Properties of Real Numbers. Working with Radicals and Properties of Real Numbers
PROGRAM OVERVIEW Content Map Unit 1: Relationships Between Quantities and Expressions Working with Radicals and Properties of Real Numbers 1.1.1 Units of Measure Working with Radicals and Properties of
More informationStandards for Mathematical Objectives Major & Minor
Standards for Mathematical Objectives Major & Minor Practice Assessments 1) Make sense of problems and determine if a situation should be modeled by a one or two Mini Quiz 1.1 persevere in solving them.
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 informationAlgebra 2 Standards Changes
Dropped Topics in Algebra 2: Algebra 2 Standards Changes Conic form of parabolas (find equation given focus and directrix) Recursive form of arithmetic and geometric sequences Restricting domain of a function
More informationPolynomials and Rational Functions. Quadratic Equations and Inequalities. Remainder and Factor Theorems. Rational Root Theorem
PreCalculus PreAP Scope and Sequence  Year at a Glance PreCalculus PreAP  First Semester Precalculus with Limits; Larson/Hostetler Three Weeks 1 st 3 weeks 2 nd 3 weeks 3 rd 3 weeks 4 th 3 weeks
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 informationBig Ideas Math Algebra 2. Correlations to the Common Core State Standards
Big Ideas Math Algebra 2 Correlations to the Common Core State s 2 Big Ideas Math: A Common Core Curriculum Algebra 2 2015 Common Core State s for High School Algebra 2 Conceptual Category: Number and
More informationCherokee County School District YearLong Curriculum Map GSE PreCalculus 1 st Semester 2 nd Semester
Cherokee County School District YearLong Curriculum Map GSE PreCalculus 1 st Semester 2 nd Semester Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Functions MGSE912 F.IF.4, 7, 7e F.TF.1, 2,
More informationHonors PreCalculus (Course #341)
Honors PreCalculus (Course #341) Course of Study Findlay City Schools June 2016 TABLE OF CONTENTS 1. Findlay City Schools Mission Statement and Beliefs 2. Honors PreCalculus Course of Study 3. Honors
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 informationcorrelated 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
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 informationPreCalculus Common Core Overview. Represent and model with vector quantities. (+) N.VM.1, 2, 3
PreCalculus Common Core Overview Number and Quantity Algebra Geometry Statistics and Probability The Complex Number System Vector Quantities and Matrices Reasoning with Equations and Inequalities Interpreting
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 informationNotes on Reading the Washington State Mathematics Standards Transition Documents
Notes on Reading the Washington State Mathematics Standards Transition Documents This document serves as a guide to translate between the 2008 Washington State K8 Learning Standards for Mathematics and
More informationAlgebra I Learning Targets Chapter 1: Equations and Inequalities (one variable) Section Section Title Learning Target(s)
Chapter 1: Equations and Inequalities (one variable) Section Learning Target(s) I can 1.2 Evaluate and Simplify Algebraic Expressions 1. Evaluate and simplify numeric and algebraic expressions (order of
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 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 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 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 informationESCONDIDO UNION HIGH SCHOOL DISTRICT COURSE OF STUDY OUTLINE AND INSTRUCTIONAL OBJECTIVES
ESCONDIDO UNION HIGH SCHOOL DISTRICT COURSE OF STUDY OUTLINE AND INSTRUCTIONAL OBJECTIVES COURSE TITLE: Algebra II A/B COURSE NUMBERS: (P) 7241 / 2381 (H) 3902 / 3903 (Basic) 0336 / 0337 (SE) 5685/5686
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 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 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 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. Precalculus Higher Mathematics Courses 85
Precalculus Precalculus combines the trigonometric, geometric, and algebraic techniques needed to prepare students for the study of calculus, and strengthens students conceptual understanding of problems
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 CP Curriculum Pacing Guide First Half of Semester
Algebra 2 CP Curriculum Pacing Guide 207208 Unit Functions A2.AAPR.* A2.ACE.2* A2.FBF.3* A2.FIF.6* Add, subtract, and multiply polyomials and understand that polynomials are closed under these operations.
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 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 informationAlgebra II Pacing Guide Last Updated: August, Guiding Question & Key Topics
114 Unit 1 Investigations & AS I investigate functions, am I analyzing the function thoroughly and clearly communicating my reasoning to others? Solving puzzles in Teams Using a Graphing Calculator to
More informationAlgebra 2 A/B Curriculum Pacing Guide
Algebra A/B is a yearlong course that incorporates a math lab elective. During the lab students use Imagine Math as a resource. Anderson School District Five Page 1 017018 Unit 1 Functions A.AAPR.1* A.ACE.*
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 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 informationFunctions and Linear Inverse Functions. Systems of Linear Equations and Inequalities. PiecewiseDefined Functions. PiecewiseDefined Functions
Algebra 2 Correlated to the Common Core State Standards CCSS Units Lessons Standards for Mathematical Practice MP1 Make sense of problems and persevere in solving them. Used throughout the course: for
More informationMath Review for AP Calculus
Math Review for AP Calculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet
More 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 biweekly formative assessment
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 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 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 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 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 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 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 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 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 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 I. Unit 1 Connections to Algebra
Unit 1 Connections to Algebra Time: 15 days Objectives: 1, 2, 8 and 9 Translate verbal into mathematical Write using exponents Use the order of operations to evaluate Solve open sentences by performing
More informationPearson Mathematics Algebra 2 Common Core 2015
A Correlation of Pearson Mathematics Algebra 2 Common Core 2015 to the Common Core State Standards for Bid Category 1305010 A Correlation of Pearson Common Core Pearson Number and Quantity The Real Number
More informationCoach Stones Expanded Standard PreCalculus Algorithm Packet Page 1 Section: P.1 Algebraic Expressions, Mathematical Models and Real Numbers
Coach Stones Expanded Standard PreCalculus Algorithm Packet Page 1 Section: P.1 Algebraic Expressions, Mathematical Models and Real Numbers CLASSIFICATIONS OF NUMBERS NATURAL NUMBERS = N = {1,2,3,4,...}
More informationBenchmark Computation The student models, performs, and explains computation with complex numbers and polynomials in a variety of situations.
Standard Number and Computation The student uses numerical and computational concepts and procedures in a variety of situations. Indicator/Objective Critical Vocabulary Knowledge Indicators The student
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 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 informationCarrollton Exempted Village School District Carrollton, Ohio OHIO COMMON CORE STATE STANDARDS. Curriculum Map
Carrollton Exempted Village School District Carrollton, Ohio Curriculum Map Course Title: Algebra I Concepts Pacing: 10 days Academic Year: 20132014 Unit 1: Connections to Algebra Essential Questions:
More information