Algebra II - Bishop Manogue High School

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Algebra IIPriority Keys Aligned with Nevada Math StandardsMAMA represents a Major content area. Any concept labeled MA is something of centralimportance to the entire class/curriculum; it is a foundation or cornerstone of thecourse. Mastery of MA concepts is required for a student to succeed in a course.II represents Important content area. A little smaller than MA, I concepts must beMastered but are not necessarily cornerstones of a course or required in order tosucceed throughout the course.MIMI represents a Minor content area. Minor content areas are those that must betouched on briefly, introduced, but not thoroughly covered or mastered in order forstudents to achieve success in a course or completion of state and national standards.LNevada Academic Standards that are assessable at the local level only.SNevada Academic Standards that are assessable at the state and local levels.Interdisciplinary Links KeyHIHistoryLALanguage ArtsFLForeign LanguageTTheologyMMathematicsFAFine ArtsHHealth and Physical nceWRWriting

Resource KeyTPrentice Hall Mathematics ALGEBRA 2 TextbookSSupport documents; including onlineCDPrentice Hall ALGEBRA 2 Textbook Support CDsMManipulative ResourcesTCTechnologyAssessment KeyHomeworkHomework will be assigned, reviewed and assessed every class.Problems of the WeekAn assignment representing SAT/ACT or Proficiency style questions and spiraledreview over previous or current areas of study. Assigned and assessed weekly.Writing Across the CurriculumAn essay style question requiring creative analytical written response; included witheach Problem of the Week assignment.Formative AssessmentFormative Assessment include (but are not limited to): white board response questions,in-class practice worksheets, teacher/student group questioning, exit tickets and solvingproblems using manipulative resources.National Standards KeyNCTM Content Standards KeyNCTM Process Standards Key12345678910Numbers and OperationsAlgebraGeometryMeasurementData AnalysisProblem SolvingReasoning and ProofCommunicationConnectionsRepresentation

WeekObjectiveState/NationalPriority/Link/ESLR ResourceStandardNCTM 1, 2, 81.12.8NCTM 1, 2, 8Identify and use properties of real numbers1.12.8NCTM 2, 3,1Evaluate and simplify algebraic expressions 1.12.6, 1.12.8,2.12.1Chapter 1Sections 1.1 NCTM 1, 3, 9Solve multi-step equations1.32.12.4, 2.12.5Solve formulas and equations for oneNCTM 1, 3, 9variable2.12.2Write equations to model and solve wordNCTM 1, 3, 9problems2.12.6NCTM 1, 2, 4Solve and graph linear inequalities22.12.4NCTM 1, 2, 4,Chapter 1 Solve and graph compound inequalities2.12.4Sections 1.4 Solve absolute value equations andNCTM 2, 7, 101.5inequalities2.12.2Graph and order real numbersI.S/-/1BMA.S/-/1BMA.S/-/1BT, S HomeworkProblems of the WeekWriting Across the CurriculumFormative AssessmentT, S HomeworkProblems of the WeekWriting Across the CurriculumFormative AssessmentT, TC, M HomeworkProblems of the WeekWriting Across the CurriculumFormative A.S/-/1BMA.S/-/1B3Find experimental and theoreticalChapter 1 probabilitiesSection 1.6NCTM 3, 5, 105.12.2, 5.12.3AssessmentI.S/-/1B

TOOLS of ALGEBRA COMMON ASSESSMENT3 continuedChapter 1 Properties of Real NumbersAlgebraic ExpressionsSolving EquationsSolving InequalitiesAbsolute Value Equations andInequalitiesProbabilityGraph relations and Identify functions4Find slope and x and y interceptsChapter 2Write the equation of a line in point-slope,Sections 2.1 slope-intercept and standard forms2.2Graph linear equations5Write and interpret direct variationequationsWrite linear equations to model and solvereal-world problemsChapter 2Section 2.3 Use scatter plots and trend lines to make2.4predictions6Graph absolute value functionsNCTM 1, 2, 3,4, 5, 6, 7, 8, 9,10NCTM 2, 8, 102.12.2, 2.12.4NCTM 2, 3, 72.4, 4.12.5NCTM 2, 3, 72.12.1NCTM 2, 3, 72.12.2, 2.12.4NCTM 1, 2, 8,9 2.12.1NCTM 1, 2, 5,6 2.12.1NCTM 1, 2, 5,6 2.12.1,2.12.2, 2.12.4NCTM 1, 2, 102.12.4MA.S/-/1A.1BTools of Algebra Common MasteryAssessment:All Algebra 2 classes willgive the same Chapter 1 test toT, S, CD measure/compare/cooperate/share resultsfor overall department evaluation andcontinuity. The test will be free-responseand multiple choiceover material from Chapter 1.MA.S/-/1BT, S HomeworkProblems of the WeekWriting Across the CurriculumFormative AssessmentT HomeworkProblems of the WeekWriting Across the CurriculumFormative 1BMA.S/-/1A.1B.2AMA.S/TE/1A.1BMA.S/-/1BT

Chapter 2 Translate absolute value functions vertically NCTM 2, 3, 10Sections 2.6 - and horizontally2.12.42.7Graph Linear and two-variable absoluteNCTM 2, 10value inequalities2.12.57Make predictions using linear modelsNCTM 1,2, 5, 62.12.1, ter 2Section 2.4 Use graphing calculators with linear models NCTM 1,2, 5, 6 MA.S/TE/1A.1B.2A.2D8Chapter 2FUNCTIONS, EQUATIONS, and GRAPHSCOMMON ASSESSMENT Relations and Functions Linear EquationsNCTM 1, 2, 3, Direct Variation4, 5, 6, 7, 8, 9,10 Absolute Value Functions andGraphs Vertical and Horizontal Translations Two-Variable InequalitiesTChapter 3Sections 3.1Solve system of equations by graphingMA/-/1A.1BMA.S/-/1BHomeworkProblems of the WeekWriting Across the CurriculumFormative Assessment HomeworkProblems of the WeekWriting Across the CurriculumFormative AssessmentFunctions, Equations, and Graphs CommonMastery Assessment:All Algebra 2 classes will give the sameChapter 2 test tomeasure/compare/cooperate/share resultsfor overall department evaluation andcontinuity. The test will be free-responseand multiple choice over material fromChapter 2 as well as material from Chapter1.8NCTM 2, 9, 102.12.1 T HomeworkProblems of the WeekWriting Across the CurriculumFormative Assessment

9Solve system of equations in two-variablesby substitutionChapter 3Sections 3.1 - Solve system of equations in two-variables3.2by eliminationSEMESTER 1 MIDTERM COMMONASSESSMENT Tools of Algebra (Ch 1) Functions, Equations, and Graphs(Ch 2) Linear Systems (Ch 3)o Graphing System of10Equationso Solving SystemsChapter 3AlgebraicallySection 3.3Solve system of inequalities by graphingWrite and solve Linear ProgrammingproblemsFind and analyze maximum and minimumChapter 3valuesSections 3.4 &Solve systems in three variables using3.6elimination11NCTM 2, 6, 92.12.5MA.S/-/1BTNCTM 2, 6, 92.12.5NCTM 1, 2, 3,4, 5, 6, 7, 8, 9,10NCTM 2, 6, 92.12.5NCTM 2, 6, 82.12.5NCTM 2, 6, 82.12.5NCTM 2, 6, 92.12.1, 2.12.5MA.S/-/1BT HomeworkProblems of the WeekWriting Across the CurriculumFormative AssessmentT HomeworkProblems of the WeekWriting Across the CurriculumFormative eworkProblems of the WeekWriting Across the CurriculumFormative AssessmentSEMESTER 1 MIDTERM Common MasteryAssessment:All Algebra 2 classes will give the sameSemester 1 Midterm test tomeasure/compare/cooperate/ share resultsfor overall department evaluation andcontinuity. The test will be free-responseand multiple choice over material from theweeks 1 - 9 of school.MA.S/-/1A.1BI.S/-/1B

12Chapters 3LINEAR SYSTEMS COMMON ASSESSMENT Graphing Systems of Equations Solving Systems Algebraically Systems of Inequalities Linear Programming Systems With Three Variables12 continued Identify matrices and their elementsChapter 3Section 4.1 Organize data into matricesAdd and subtract matrices13Multiply a matrix by a scalarChapter 4Sections 4.2 - Multiply two matrices4.3Solve matrix equations by adding andsubtracting matricesLinear Systems Common Assessment:All Algebra 2 classes will give the sameChapter 3 test tomeasure/compare/cooperate/share resultsfor overall department evaluation andcontinuity. The test will be free-responseand multiple choice over material fromChapter 3 as well as material from Chapters1 and 2.NCTM 1, 2, 3,4, 5, 6, 7, 8, 9, MA.S/-/1A.1B.2A.2D10NCTM 1, 2, 9,2.12.1NCTM 1, 2, 92.12.1T HomeworkProblems of the WeekWriting Across the CurriculumFormative AssessmentT HomeworkProblems of the WeekWriting Across the CurriculumFormative AssessmentI.S/-/1BMA.S/-/1BNCTM 2, 9, 102.12.1. 2.12.6NCTM 2, 9, 102.12.1, 2.12.6NCTM 2, 9, 102.12.6MA.S/-/1BNCTM 2, 9, 102.12.6MA.S/-/1BM.S/-/1BMA.S/-/1B

Evaluate determinants of 2 x 2 matrices tofind an inverse matrixNCTM 2, 3, 7,9 2.12.1MA.S/-/1BT14Chapter 4Section 4.5Use inverse matrices to solve matrixequationsSolve systems of equations using matrices15NCTM 2, 3, 7,9 2.12.1,2.12.6MA.S/-/1BTNCTM 2, 105.12.1MA.S/-/1BTUse technology to evaluate determinant of 3 NCTM 2, 6, 7,Chapter 4x 3 matrices9 2.12.1Sections 4.6 &4.7Use technology to find inverse of 3 x 3NCTM 2, 6, 7,matrices9 2.12.1MA.S/TE/1B.2DTMA.S/TE/1B.2DT HomeworkProblems of the WeekWriting Across the CurriculumFormative Assessment MATRICES QUIZ: All Algebra 2classes will give the same Chapter 4quiz over material from sections 4.1– 4.3. The quiz will be freeresponse. HomeworkProblems of the WeekWriting Across the CurriculumFormative Assessment

MATRICES COMMON ASSESSMENT Organizing Data Into Matrices Adding and Subtracting Matrices15 continued Matrix Multiplication 2 x 2 Matrices, Determinants, andChapter 4Inverses 3 x 3 Matrices, Determinants, andInverses Inverse Matrices and Systems16NCTM 1, 2, 3,4, 5, 6, 7, 8, 9,10MA.S/-/1BFactor expressions by finding commonfactorsNCTM 1, 2, 72.12.6MA.S/-/1BFactor trinomials including perfect squaretrinomials and difference of squaresNCTM 1, 2, 72.12.6MA.S/-/1BChapter 5Sections 5.4 &Solve quadratic equations by factoring5.517NCTM 2, 3, 6,9 2.12.6MA.S/-/1BSolve quadratic equations by finding square NCTM 2, 3, 6,roots9 2.12.6MA.S/-/1BNCTM 1, 2, 102.12.6MA.S/-/1BSimplifying imaginary numbersMatrices Common Mastery Assessment:All Algebra 2 classes will give the sameChapter 4 test tomeasure/compare/cooperate/share resultsfor overall department evaluation andcontinuity. The test will be free-responseand multiple choice over material fromChapter 4 as well as Chapters 1 through 3,inclusive.T HomeworkProblems of the WeekWriting Across the CurriculumFormative AssessmentT Homework

Chapter 5Section 5.6 Add, subtract and multiply complexnumbersMA.S/-/1BSolve quadratic equations by completing the NCTM 2, 6, 7square2.12.6MA.S/-/1BSolve quadratic equations by using theChapter 5Quadratic FormulaSections 5.7 &5.8Use discriminate to determine type andnumber of solutions19MA.S/-/1BNCTM 1, 2, 102.12.6Solve equations with complex solutions18NCTM 1, 2, 102.12.6NCTM 2, 6, 72.12.6MA.S/-/1BNCTM 2, 6, 72.12.6MA.S/-/1BIdentify quadratic functions and their graphsNCTM 2, 5, 102.12.3MA.S/-/1BGraph quadratic functions in standard andvertex formNCTM 2, 3, 102.12.3MA.S/-/1BNCTM 2, 3, 6MA.S/-/1BChapter 5Sections 5.1 Find Maximum and minimum values of5.3quadratic functions Problems of the WeekWriting Across the CurriculumFormative Assessment Quadratic Equations and FunctionsQuiz: All Algebra 2 classes will givethe same Chapter 5 quiz overmaterial from sections 5.4 – 5.6.The quiz will be free-response.T HomeworkProblems of the WeekWriting Across the CurriculumFormative AssessmentT HomeworkProblems of the WeekWriting Across the CurriculumFormative AssessmentTT

SEMESTER 1 FINAL COMMON ASSESSMENT Tools of Algebra (Ch 1) Functions, Equations, and Graphs20NCTM 1, 2, 3,(Ch 2)4, 5, 6, 7, 8, 9,MA.S/-/1A.1B.2A.2D Linear Systems (Ch 3)Chapters 1 - 510 Matrices (Ch 4) Quadratic Equations and Functions(Ch 5)NCTM 2, 102.12.3Write polynomial expressions in standard or NCTM 2, 6, 9factored form2.12.3, 2.12.4Classify and simplify polynomial expressions21Chapter 6 Graph polynomial functions in standard orSections 6.1 & factored form using technology to find6.2relative maximum and minimum values2223MA.S/-/1BMA.S/-/1BNCTM 2, 102.12.4MA.S/TE/1B.2DModel Data with polynomial functionsNCTM 2, 10I/-/1B.2ADivide polynomials using long divisionNCTM 2, 92.12.3I.S/-/1BNCTM 2, 92.12.3I.S/-/1BNCTM 2, 6, 92.12.3I.S/-/1BChapter 6Section 6.3 Divide polynomials using synthetic divisionFactor polynomials using sum/difference ofcubes and special case trinomialsSEMESTER 1 FINAL Common MasteryAssessment:All Algebra 2 classes will give the sameSemester 1 FINAL test tomeasure/compare/cooperate/share resultsfor overall department evaluation andcontinuity. The test will be free-responseand multiple choice over material from theweeks 1 -19 of school. HomeworkProblems of the WeekWriting Across the CurriculumFormative Assessment HomeworkProblems of the WeekWriting Across the CurriculumFormative Assessment HomeworkProblems of the Week

Chapter 6NCTM 2, 6, 9Solve polynomial equations by factoringSections2.12.36.4, 6.6, 6.8Use fundamental theorem of Algebra to find NCTM 1, 2, 7,possible number of roots8 2.12.3Use Pascal's Triangle to expand binomials24Chapter 6POLYNOMIALS AND POLYNOMIALFUNCTIONS COMMON ASSESSMENT Polynomial Functions Polynomials and Linear Factors Dividing Polynomials Solving Polynomial Equations The Fundamental Theorem ofAlgebra The Binomial TheoremNCTM 2, 5, 7,9NCTM 1, 2, 3,4, 5, 6, 7, 8, 9,10I.S/-/1B25Simplify nth rootsNCTM 1, 2, 72.12.3Writing Across the CurriculumFormative AssessmentI.S/-/1BI/-/1BMA/-/1A.1B.2D24Simplify expressions using the properties of NCTM 1, 2, 7Chapter 7 exponents1.12.7, 2.12.3Section 7.1 MA.S/-/1BI.S/-/1BPolynomials and Polynomial FunctionsCommon Mastery Assessment:All Algebra 2 classes will give the sameChapter 6 test tomeasure/compare/cooperate/share resultsfor overall department evaluation andcontinuity. The test will be free-responseand multiple choice over material fromChapter 6. HomeworkProblems of the WeekWriting Across the CurriculumFormative Assessment

Multiply and divide radical expressionsChapter 7Sections 7.1 –Add and subtract radical expressions7.3Multiply and divide binomial radicalexpressions26Simplify expressions with rational exponentsChapter 7Sections 7.4 &Solve radical equations7.5NCTM 1, 2, 102.12.3NCTM 1, 2, 72.12.3NCTM 1, 2, 72.12.3State the domain of functionsNCTM 1, 2, 6NCTMI.L/-/1BFind inverse of a relation or functionI.S/-/1BNCTM 2, 6, 102.12.3I.S/-/1BNCTM 2, 6, 10I.L/-/1BNCTM 1, 2, 7NCTMHomeworkProblems of the WeekWriting Across the CurriculumFormative Assessment HomeworkProblems of the WeekWriting Across the CurriculumFormative Assessment HomeworkProblems of the WeekWriting Across the CurriculumFormative Assessment HomeworkProblems of the WeekWriting Across the CurriculumFormative AssessmentI.L/-/1B28Chapter 7Section 7.7 I.S/-/1BI.S/-/1BNCTM 1, 2, 6NCTMNCTM 2, 6, 10Add, subtract, multiply and divide functions2.12.3Chapter 7Section 7.5 & Find composite of two functions7.6I.S/-/1BNCTM 1, 2, 72.12.3Solve radical equations27I.S/-/1BI.L/-/1B

29SEMESTER 2 MIDTERM COMMONASSESSMENT Polynomials and PolynomialFunctions (Ch 6) Radical Functions and RationalExponents (Ch 7)NCTM 1, 2, 3,4, 5, 6, 7, 8, 9,10MA.S/-/1A.1BSimplify rational expressionsNCTM 1, 2, 6I.L/-/1BMultiply and divide rational expressionsNCTM 1, 2, 6I.L/-/1BChapter 9Section 9.430Chapter 9Section 9.531Add and subtract rational expressionsNCTM 2, 6, 9I.L/-/1BSimplify complex fractionsNCTM 2, 6, 9I.L/-/1BNCTM 2, 6, 7,9I.L/-/1BChapter 9Section 9.5 &Solve rational equations9.6SEMESTER 2 MIDTERM Common MasteryAssessment:All Algebra 2 classes will give the sameSemester 2 Midterm test tomeasure/compare/cooperate/ share resultsfor overall department evaluation andcontinuity. The test will be free-responseand multiple choice over material from theweeks 21 - 28 of school. HomeworkProblems of the WeekWriting Across the CurriculumFormative Assessment HomeworkProblems of the WeekWriting Across the CurriculumFormative Assessment HomeworkProblems of the WeekWriting Across the CurriculumFormative Assessment

32Use rational equations to solve workChapter 9 problemsSection 9.632Chapter 933RATIONAL FUNCTIONS COMMONASSESSMENT Rational Expressions Adding and Subtracting RationalExpressions Solving Rational EquationsI.L/-/1BNCTM 1, 2, 3,4, 5, 6, 7, 8, 9,10MA.L/-/1A.1BNCTM 1, 2, 7I.L/-/1BNCTM 1, 2, 7I.L/-/1BNCTM 1, 2I.L/TE/1B.2DNCTM 1, 2I.L/-/1BGraph logarithmic functionsNCTM 1, 2, 7I.L/-/1BWrite and evaluate logarithmic expressionsNCTM 1, 2, 7I.L/-/1BModel and graph exponential growth anddecayTranslate graphs of exponential growth anddecayUse Number e as a baseChapter 8Sections 8.1 – Solve interest problems including compoundinterest and continuously compounded8.3interest34NCTM 2, 6, 7,9 HomeworkProblems of the WeekWriting Across the CurriculumFormative AssessmentPolynomials and Polynomial FunctionsCommon Mastery Assessment:All Algebra 2 classes will give the sameChapter 9 test tomeasure/compare/cooperate/share resultsfor overall department evaluation andcontinuity. The test will be free-responseand multiple choice over material fromChapter 9 as well as Chapters 6 and 7. HomeworkProblems of the WeekWriting Across the CurriculumFormative Assessment Homework

Chapter 8Sections 8.3 & Simplify and expand logarithms by using8.4their properties35NCTM 1, 2, 9I.L/-/1BSolve exponential equationsNCTM 1, 2, 6I.L/-/1BSolve logarithmic equationsNCTM 1, 2, 6I.L/-/1BChapter 8Sections 8.5 & Evaluate natural logarithmic expressions8.6Solve equations using natural logarithmsNCTM 1, 2, 9,10NCTM 1, 2, 9,10EXPONENTIAL AND LOGARITHMICFUNCTIONS COMMON ASSESSMENT Exploring Exponential Models Properties of Exponential Functions NCTM 1, 2, 3, Logarithmic Functions as Inverses 4, 5, 6, 7, 8, 9,10 Properties of Logarithms36 Exponential and LogarithmicEquationsChapters 8 &10 Sections Natural Logarithms10. 2 & 10.5Graph and write the equation of parabolasI.L/-/1B Problems of the WeekWriting Across the CurriculumFormative Assessment HomeworkProblems of the WeekWriting Across the CurriculumFormative AssessmentI.L/-/1BMA.L/-/1A.1B.2DNCTM 2, 3, 6I.L/-/1BGraph and write the equation of hyperbolas NCTM 2, 3, 6I.L/-/1BExponential and Logarithmic FunctionsCommon Mastery Assessment:All Algebra 2 classes will give the sameChapter 8 test tomeasure/compare/cooperate/share resultsfor overall department evaluation andcontinuity. The test will be free-responseand multiple choice over material fromChapter 9 as well as Chapters 6, 7 and 9. HomeworkProblems of the WeekWriting Across the CurriculumFormative Assessment

37Graph and write the equation of circlesChapter 10SectionsGraph and write the equation of ellipses10. 3 & 10.4NCTM 2, 3, 6I.L/-/1BNCTM 2, 3, 6I.L/-/1BSEMESTER 2 FINAL COMMON ASSESSMENT Polynomials and PolynomialFunctions (Ch 6) Radical Functions and RationalExponents (Ch 7)38NCTM 1, 2, 3, Exponential and Logarithmic4, 5, 6, 7, 8, 9, MA.S/-/1A.1B.2A.2DChapters 6 Functions (Ch 8)1010 Rational Functions (Ch 9) Quadratic Relations (Ch 10)o Parabolaso Circleso Ellipseso Hyperbolas HomeworkProblems of the WeekWriting Across the CurriculumFormative AssessmentSEMESTER 2 FINAL Common MasteryAssessment:All Algebra 2 classes will give the sameSemester 2 FINAL test tomeasure/compare/cooperate/share resultsfor overall department evaluation andcontinuity. The test will be free-responseand multiple choice over material from theweeks 2 1 -37 of school.

Algebra II Priority Keys Aligned with Nevada Math Standards MA MA represents a Major content area. Any concept labeled MA is something of central importance to the entire class/curriculum; it is a foundation or cornerstone of the course. Mastery of MA concepts is required for a student to succeed in a cour