### Algebra 2 Honor

 Class ExpectationsUnitsResourcesClass CalendarSBGbookMidyearFinalYear overview:26ish teaching days per quarter (28 in Q3)Q1: Functions, Quadratics, TransformationsQ2: Polynomials & Complex #s, Rational FunctionsQ3: Exponents & Radicals, Exponential FunctionsQ4: Inverses, Logs, Sequences & Series, Probability & Stat Formative Assessment: Exit Tickets, mini quizzes, plickers, partner quizzes, class participationReview: Mathbitsnotebook, Jeopardy labsAssessment of Mastery: Unit tests, projects/presentations/writingEngage NY, Desmos, Underground Math, Plickers, Zipgrade, jeopardy labs, math teacher mambo, http://www.kutasoftware.com/free.html Q1 Learning Goals mastery checkFunctions 3 daysUnderstand the difference between a function and a relationUse mapping and vertical line test to identify functionsUnderstand function notationIdentify functions given table, equation, graph, points or descriptionUnderstand domain and range of functions and relations, input, outputUnderstand interval notationUnderstand indep and dep variables, identify and justify indep variablesGiven examples of functions and relationsIdentify domain and range using correct notation and units from equation, table, graph, situation, pointsUnderstand domain in context, discrete vs conts, integers or natural numbersSketch a function given domain and rangeGive domain restrictions to match graphRestrict domain/range to make a relation a functionEvaluate a function given an input (numerical, variable, binomial) or output, given table, equation or graph, multiple representationsGraph functions using technology to exploreInterpret the graph of a function in contextUnderstand domain restrictions from equation, graph, contextCompare functions in different representationsUnderstand function operationsUnderstand function composition, compose functions to give the desired output4 daysIdentify parent functionsUnderstand shared characteristics and key feature of parent functionsGraph parent functions with key featuresUse a table to plot points if forget what the parent function looks likeState the symmetry of parent functionsClassify functions as even or oddIdentify even/odd functions given multiple representationsFind another point on an even/odd functionDraw an even/odd function or the other half of an even/odd functionSHOW/PROVE a function is even/odd/neither3 daysGraph horizontal transformations of parent functionsGraph vertical transformations of parent functionsGraph vertical stretches and reflectionsGraph horizontal stretches and reflectionsWrite transformations in function notationGraph transformations from function notation (no equation)Graph multiple transformationsGiven eqn/graph state the transformationsChoose correct parent function to model situationUse calculator to perform regression of data set3 daysGraph piecewise functions given eqn/descriptionGive eqn piecewise functions given graphEvaluate piecewise functionsSolve systems by graphingFind “k” to make piecewise function continuousInterpret piecewise functions in contextFactoring4 daysApply the distributive propertyUnderstand and identify factors, terms, expressionsFind GCF of numbers and algebraic expressionsFactor trinomials, box methodFactor a>1, a, b negFactor polynomials using groupingRecognize special cases difference of squares, perfect squaresProve identitiesFactor difference of squaresFactor completelyFactor with two variablesFactor with degree higher than 2--recognize the underlying structure and use subst3 daysEquivalent expressions and graphingGraph from factored formIdentify double roots and understand the connection to the graphGiven graph, find equation, plug in a point to find “a”Understand the different forms of a quadratic equation: standard, vertex, factored formUnderstand the key features of graph that are visible in each formFind x and y-intercepts given any formGraph a parabola given any form without changing it to another formLabel graphs with x, y int, vertex and line of symmetryComplete the square to put in vertex formGiven graph, find QE in specific formUse symmetry to graph given vertex and one other pointGiven three points, find QE, including “a”Interpret graphs and tables in contextCompare parabolas in different forms3 daysSolve QEUnderstand zero product propertySolve from factored formUnderstand the difference between a factor, an x int and a root/zeroSolve using sqr rootsSolve by CTS, with a>1, with fractionsSolve literal equationsUse CTS to derive QFSolve using QF-answers in simplest formChoose the best method to solveSolve application problems in context including maximization probsIdentify extraneous solutions in context3 daysUnderstand how the value of the discriminant determines the number and nature of the rootsPredict the number and nature of the roots without solving using the QFDerive -b/2a using QFUse -b/2a to graphUse -b/2a to put in vertex formUse QF to derive sum/prod rootsFind eqn in standard form using sum/prod rootsFind eqn in stand form given irrat rootsSolve higher degree eqns using QFUnderstand the Fundamental Theorem of AlgebraQ2 Learning Goals mastery checkIntroduction to Polynomials 3 daysDistinguish between expressions, terms, variables and coefficientsUnderstand what a polynomial isIdentify polynomials and justify these choicesUse technology to explore polynomialsClassify polynomials by degree and number of termsIdentify and combine like termsPut polynomials in standard formLeading coefficient, end behavior, number of turnsRelate even/odd degrees to start/end behaviorAdd, subtract and multiply polynomialsUnderstand closure of polynomials with respect to these operationsFactors, roots and graphing 3 daysReview factors vs zerosReview factoring completely including hidden quadraticsIdentify single, double, triple roots from factored form and from a graphFind leading coefficient from factored form without multiplying it out, including buried negativesPull a negative out of a factor to predict end behavior Given standard form, factor completely and sketchGiven description, find equation and graphGive a graph, find the equation including “a”Apply transformations to polynomial equationsPolynomial division 3 daysUse the box method to multiply polynomials and determine factorsUse the box method to derive the sum/difference of cubesDivide polynomials using the box methodDivide by monomialDivide by binomialDivide polynomials using synthetic divisionFind quotients with remaindersSolving and graphing polynomials 4 daysUse division to identify factorsUse the remainder theorem to identify rootsSolve and graph polynomial equations by factoringGiven a polynomial and a factor or root, find remaining factors, equation and graphUse the remainder theorem to find a root, then divide, factor and graph the polynomialSolve higher degree polynomial eqns by dividing, factoring and using the QFCreate polynomial equations to model real-world situations and use them to solve problemsSimplify Rational Expressions 3 daysReview key features and transformations of y=1/xSimplify rational monomials by factoringRationalize the denominator of monomialsReview domain restrictions on rational monomialsAdd/subtract and simplify rational Expressions with same and different denominatorsMultiply, divide and simplify rational ExpressionsSimplify complex and continued fractions, with and without techSolve rational equations 3 daysIdentify extraneous solutions in contextSolve application problems including work problemsMidyear exam review 3 days
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Deborah Winkler,
Mar 19, 2017, 12:04 PM