High School Math Help - Curriculum Maps



HYPERLINK "" Virginia Department of Education Mathematical Instructional ResourcesDatesStandards/Essential QuestionsEssential Knowledge/Skills/UnderstandingResources1st 9 Weeks A.4, A. 5, AFDA 1, 2, 3, 5Block: 1 classTraditional:2 classesStandardA.4/A.5Solving Equations and InequalitiesPrerequisites: 7.14 a) solve one‐ and two‐steplinear equations; b) solve practical problems in one variable7.15 a) solve one‐step inequalities; b) graph solutions on number line8.15 a) solve multistep linearequations in one variable (variable on one and two sides ofequations); c) ID properties ofoperations used to solve8.15 b) solve two‐step linearinequalities and graph results onnumber line; c) ID properties ofoperations used to solveExtensions:AII.4 solve (alg/graph)a) abs value equation/inequ; b)quad equation over complex; c)equation containing rationalalgebraic expression; d) equationcontaining radical expAII.5 solve nonlinear systems(alg/graph)Solve a literal equation (formula) for a specified variable. Simplify expressions and solve equations and inequalities using the field properties of the real numbers and properties of equality and inequality to justify simplification and solution. Solve multi-step linear equations and inequalities in one variable. Confirm algebraic solutions to linear equations, using a graphing calculator. Determine if a linear equation in one variable has one, an infinite number, or no solutions. A solution to an equation or inequality is the value or set of values that can be substituted to make the equation true. The solution of an equation in one variable can be found by graphing the expression on each side of the equation separately and finding the x-coordinate of the point of intersection. The process of solving linear and equations can be modeled in a variety of ways, using concrete, pictorial, and symbolic representations. Properties of real numbers, properties of equality, properties of inequality, and order can be used to justify equation/inequality solutions and expression simplification. Real-world problems can be interpreted, represented, and solved using linear equations and inequalities. Equations can be used as mathematical models for real-world situations. Set builder notation may be used to represent solution sets of equations of inequalities. Key Vocabularycoefficient constant Field Properties: closure, commutative, associative, inverse, identity, and distributive formula infinite number of solutions linear equation literal equation Properties of Equality: reflexive, symmetric, transitive, substitution, addition, subtraction, multiplication, and division real numbers set builder notation solution set inequality set builder notation system of inequalities DOE Lesson PlansA.4 - How Much Is That Tune? - Equations and Inequalities, StatisticsA.4 - Solve for the Unknown - Equations and InequalitiesA.4 - A Mystery to Solve - Equations and InequalitiesA.4 - Cover-Up Problems - Equations and InequalitiesA.4 - Algebra Tiles and Equation Solving - Equations and InequalitiesA.4 - Factoring for Zeros - Equations and Inequalities, FunctionsA.4 - Solving Linear Equations - Equations and InequalitiesA.4 - Road Trip - Equations and InequalitiesA.4 - Spring Fling Carnival - Equations and InequalitiesA.4 - The Exercise Fields - Equations and InequalitiesA.5 - Inequalities - Equations and InequalitiesA.5 - Greetings - Equations and InequalitiesA.5 - Graphing Systems of Inequalities - Equations and InequalitiesTextbook ResourcesPrentice Hall Algebra 1 Chapter 2 and 3 Block: 2 classesTraditional:3 classesStandardAFDA 1 Graphing Linear Equations and SlopePrerequisites: 8.16 graph linear equations in twovariablesA.6 graph linear equations (2 variables) ‐ a) determine slope of line given equation of line/graph of line or two points on line ‐ slope as rate of changeExtensions:AII.4 solve (algebraically/graph)a) abs value equation/inequalityAII.7 investigate/analyze functions(algebraically/graph)Identify the domain and range for a relation, given a set of ordered pairs, a table, or a graphDetermine the slope or rate of change of the equation of a lineFor each x in the domain of f, find f(x)Identify the domain, range, zeros, and intercepts of a function presented algebraically or graphicallyRecognize restricted/discontinuous domains and rangesRecognize graphs of parent functions for linear functionsKey VocabularyDomain RangeFunctionInitial valueInterceptsSlope Y-InterceptSlope Intercept FormRate of ChangeCoefficientLinearDOE Lesson PlansAFDA.1 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.1 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.1 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.1 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry's Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 1 Block: 4 classesTraditional:7 classes(w/test and review)StandardAFDA 3 Direct Variation, Inverse Variation from data sets Prerequisites: A.8 given real‐world context,analyze relation to determinedirect/inverse variation/representdirect variation (algebraically/graph)/inversevariation (algebraically)Extensions:AII.10 ID/create/solve real‐worldproblems involving inverse/jointvariation/combo of direct/inversevariationsGiven a situation, including a real-world situation, determine whether a direct variation exists.Given a situation, including a real-world situation, determine whether an inverse variation exists.Write an equation for a direct variation, given a set of data.Write an equation for an inverse variation, given a set of data. Graph an equation representing a direct variation, given a set of data.Data and scatter plots may indicate patterns that can be modeled with a function.Collect and analyze data to make decisions and justify conclusions.Investigate scatter plots to determine if patterns exist, and identify the patterns.Make predictions, using data, scatter plots, or equation of curve of best fit.Given a set of data, determine the model that would describe the data.Key VocabularyDirect VariationInverse VariationConstant of variationConstant of proportionalitySlope Y-InterceptOriginProportional relationshipRate of ChangeFunction RuleDOE Lesson PlansAFDA.3 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.3 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.3 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.3 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry's Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 1 Block: 1 classTraditional:2 classesStandardAFDA 2Writing Linear EquationsPrerequisites: A.6 graph linear equations/linearinequalities (2 variables) b) writeequation of line given graph ofline/two points on line or slope/point on lineExtensions:AII.6 recognize general shape offunction (abs val/sq root/ cuberoot/rational/poly/exp/ log)families/convert between graphicand symbolic forms of functions ‐transformational approach tographingWrite an equation of a line when given the graph of a line.Write an equation of a line when given two points on the line whose coordinates are integers.Write an equation of a line when given the slope and a point on the line whose coordinates are integers.Write an equation of a vertical line as x = a. Write the equation of a horizontal line as y = c.Write an equation of a line when given the graph of a line.Write the equation of a linear form given the graph of the parent function and transformation information.The equation of a line can be determined by two points on the line or by the slope and a point on the line.Key VocabularySlopeY-InterceptSlope-Intercept FormTransformationFunctionLinearDOE Lesson PlansAFDA.2 - Logarithmic Modeling: I. Introduction to the unit ? Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.2 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.2 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.2 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry?s Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 1 and 2 Block: 2 classesTraditional:3 classesStandardAFDA 1Polynomial Function FamiliesPrerequisites: 8.17 ID domain, range, independent/dependentvariableA.7 investigate/analyze function(linear/quad) families andcharacteristics (alg/graph) ‐ a)determine relation is function; b)domain/range; c) zeros; d) x‐ and y-intercepts; e) find values of functions for elements in domain; f) make connections between/among multiplerepresentations of functions (concrete/verbal/numeric/graphic/algebraic)Extensions:AII.7 investigate/analyze functions(alg/graph)a) domain/range; b) zeros;c) x‐ and y‐intercepts; d) intervalsincreasing/decreasing; e) asymptotes; f) endbehavior; g) inverse of a function; h) composition of multiple functionsIdentify the domain and range for a relation, given a set of ordered pairs, a table, or a graph.For each x in the domain of f, find f(x).Identify the zeros of the function algebraically and confirm them using the graphing calculator.Identify the domain, range, zeros, and intercepts of a function presented algebraically or graphically.Recognize restricted/discontinuous domains and ranges.Recognize graphs of parent functions for linear and quadratic functions.Identify x-intercepts (zeros), y-intercepts, symmetry, asymptotes, intervals for which the function is increasing or decreasing, points of discontinuity, end behavior, and maximum and minimum points, given a graph of a function.Describe continuity of a function on its domain or at a point.Express intervals using correct interval notation and/or a compound inequality.Key VocabularyDomainRangeFunctionZerosX and Y-InterceptsDiscontinuousContinuousLinearQuadraticSymmetryEnd BehaviorMaximum and Minimum PointsInterval NotationCompound InequalityDOE Lesson PlansAFDA.1 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.1 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.1 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.1 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry's Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 1, 2, 4 and 5 Block: 1 classTraditional:2 classesStandardAFDA 1Recognizing the General Shape of a Linear Function Prerequisites: 8.17 ID domain, range, independent/dependentvariableA.7 investigate/analyze function(linear) families andcharacteristics (alg/graph) ‐ a)determine relation is function; b)domain/range; c) zeros; d) x‐ and y-intercepts; e) find values of functions for elements in domain; f) make connections between/among multiplerepresentations of functions (concrete/verbal/numeric/graphic/algebraic)Extensions:AII.7 investigate/analyze functions(alg/graph)a) domain/range; b) zeros;c) x‐ and y‐intercepts; d) intervalsincreasing/decreasing; e) asymptotes; f) endbehavior; g) inverse of a function; h) composition of multiple functionsIdentify the domain and range for a relation, given a set of ordered pairs, a table, or a graph.For each x in the domain of f, find f(x).Identify the zeros of the function algebraically and confirm them using the graphing calculator.Identify the domain, range, zeros, and intercepts of a function presented algebraically or graphically.Recognize restricted/discontinuous domains and ranges.Recognize graphs of parent functions for linear functions.Identify x-intercepts (zeros), y-intercepts, symmetry, asymptotes, intervals for which the function is increasing or decreasing, points of discontinuity, end behavior, and maximum and minimum points, given a graph of a function.Describe continuity of a function on its domain or at a point.Express intervals using correct interval notation and/or a compound inequality.Key VocabularyDomainRangeFunctionZerosX and Y-InterceptsDiscontinuousContinuousLinearSymmetryEnd BehaviorMaximum and Minimum PointsInterval NotationCompound InequalityDOE Lesson PlansAFDA.1 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.1 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.1 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.1 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry's Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 1, 2, 4 and 5 Block: 2 classesTraditional:3 classesStandardAFDA 1Relations and Functions (Focus on Graphs)Prerequisites: 8.17 ID domain, range, independent/dependentvariableA.7 investigate/analyze function(linear/quad) families andcharacteristics (alg/graph) ‐ a)determine relation is function; b)domain/range; c) zeros; d) x‐ and y-intercepts; e) find values of functions for elements in domain; f) make connections between/among multiplerepresentations of functions (concrete/verbal/numeric/graphic/algebraic)Extensions:AII.7 investigate/analyze functions(alg/graph)a) domain/range; b) zeros;c) x‐ and y‐intercepts; d) intervalsincreasing/decreasing; e) asymptotes; f) endbehavior; g) inverse of a function; h) composition of multiple functionsIdentify the domain and range for a relation, given a set of ordered pairs, a table, or a graph.For each x in the domain of f, find f(x).Identify the zeros of the function algebraically and confirm them using the graphing calculator.Identify the domain, range, zeros, and intercepts of a function presented algebraically or graphically.Recognize restricted/discontinuous domains and ranges.Recognize graphs of parent functions for linear and quadratic functions.Identify x-intercepts (zeros), y-intercepts, symmetry, asymptotes, intervals for which the function is increasing or decreasing, points of discontinuity, end behavior, and maximum and minimum points, given a graph of a function.Describe continuity of a function on its domain or at a point.Express intervals using correct interval notation and/or a compound inequality.Key VocabularyDomainRangeFunctionZerosX and Y-InterceptsDiscontinuousContinuousLinearQuadraticSymmetryEnd BehaviorMaximum and Minimum PointsInterval NotationCompound InequalityDOE Lesson PlansAFDA.1 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.1 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.1 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.1 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry's Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 1, 2, 4 and 5 Block: 1 classTraditional:2 classesStandardAFDA 1.eRecognizing X-and Y-Intercepts(Linear Functions)Prerequisites: A.7 investigate/analyze function(linear) families andcharacteristics (alg/graph) ‐ c) zeros; d) x‐ and y-intercepts; e) find values of functions for elements in domainExtensions:AII.7 investigate/analyze functions(alg/graph)b) zeros; c) x‐ and y‐interceptsIdentify the zeros of the function algebraically and confirm them using the graphing calculator.Identify the domain, range, zeros, and intercepts of a function presented algebraically or graphically.Identify x-intercepts (zeros), y-intercepts, symmetry, asymptotes, intervals for which the function is increasing or decreasing, points of discontinuity, end behavior, and maximum and minimum points, given a graph of a function.Key VocabularyFunctionZerosX and Y-InterceptsDOE Lesson PlansAFDA.1 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.1 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.1 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.1 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry's Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 1, 2, and 4 Block: 1 classesTraditional:2 classesStandardAFDA 1.fFunction Intervals – Increasing or Decreasing (Linear)Prerequisites: A.7 investigate/analyze function(linear) families andcharacteristics (alg/graph) ‐ a)determine relation is function; b)domain/range; c) zeros; d) x‐ and y-intercepts; e) find values of functions for elements in domain; f) make connections between/among multiplerepresentations of functions (concrete/verbal/numeric/graphic/algebraic)Extensions:AII.7 investigate/analyze functions(alg/graph)d) intervals: increasing/decreasing; e) asymptotes; f) end behavior;g) inverse of a function; h) composition of multiple functionsIdentify the domain and range for a relation, given a set of ordered pairs, a table, or a graph.Identify the domain, range, zeros, and intercepts of a function presented algebraically or graphically.Recognize restricted/discontinuous domains and ranges.Identify x-intercepts (zeros), y-intercepts, symmetry, asymptotes, intervals for which the function is increasing or decreasing, points of discontinuity, end behavior, and maximum and minimum points, given a graph of a function.Describe continuity of a function on its domain or at a point.Express intervals using correct interval notation and/or a compound inequality.Key VocabularyDomainRangeFunctionDiscontinuousContinuousSymmetryEnd BehaviorInterval NotationCompound InequalityDOE Lesson PlansAFDA.1 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.1 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.1 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.1 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry's Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 1, 2, and 4 Block: 3 classesTraditional:5 classes(w/review and test)StandardAFDA 1.fEnd Behavior of Functions(Linear)Prerequisites: A.7 investigate/analyze function(linear) families andcharacteristics (alg/graph) Extensions:AII.7 investigate/analyze functions(alg/graph) f) end behaviorRecognize restricted/discontinuous domains and ranges.Identify x-intercepts (zeros), y-intercepts, symmetry, asymptotes, intervals for which the function is increasing or decreasing, points of discontinuity, end behavior, and maximum and minimum points, given a graph of a function.Describe continuity of a function on its domain or at a point.Express intervals using correct interval notation and/or a compound inequality.Key VocabularyFunctionDiscontinuousContinuousSymmetryEnd BehaviorMaximum and Minimum PointsInterval NotationDOE Lesson PlansAFDA.1 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.1 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.1 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.1 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry's Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 1, 2, and 4 Block: 1 classTraditional:2 classesStandardAFDA 2Graphing by Transformations (Linear)Prerequisites: A.6 graph linear equations/linearinequal (2 vars) ‐ a) determineslope of line given equation of line/graph of line or two points on line ‐slope as rate of change; b) writeequation of line given graph ofline/two points on line or slope/ point on lineExtensions:AII.6 recognize general shape offunction (abs val/sq root/ cuberoot/rational/poly/exp/ log)families/convert between graphicand symbolic forms of functions ‐transformational approach tographingKnowledge of transformational graphing using parent functions can be used to generate a mathematical model from a scatter plot that approximates the data.? Transformations include:- Translations (horizontal and vertical shifting of a graph)- Reflections- Dilations (stretching and compressing graphs) and- RotationsWrite the equation of a linear function given the graph of the parent function and transformation information.Describe the transformation from the parent function given the equation or the graph of the function.Given the equation of a function, recognize the parent function and transformation to graph the given function.Key VocabularyTransformationTranslationReflectionDilationRotationParent FunctionsDOE Lesson PlansAFDA.2 - Logarithmic Modeling: I. Introduction to the unit ? Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.2 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.2 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.2 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry?s Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 4 Block: 3 classesTraditional:6 classesStandardAFDA 5Graphing Systems of Linear Equations and Solving Prerequisites: A.4 solve multistep linear/ quadequation (2 vars) ‐ a) solve literalequation; b) justify steps used insimplifying expresessions andsolving equations; c) solve quadequations (alg/graph); d) solvemultistep linear equations(alg/graph); e) solve systems oftwo linear equation (2 vars ‐alg/graph); f) solve real‐worldproblems involving equations andsystems of equationsExtensions:AII.5 solve nonlinear systems(alg/graph)Model practical problems with systems of linear equations.Solve systems of linear equations with pencil and paper and using a graphing calculator.Solve systems of equations algebraically and graphically.Key VocabularyIndependentDependentInconsistentPoint of IntersectionSubstitutionEliminationDOE Lesson PlansTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 3 Performance Task must be completed and graded on rubric by the end of Quarter 1Sample Performance Tasks: Suspension BridgesHealthcare: A Costly BusinessStudents in MotionLessons and Resources\AFDA1,2,3,5 Linear Performance Task from Henrico County Schools.docmDatesStandards/Essential QuestionsEssential Knowledge/Skills/UnderstandingResources2nd 9 Weeks A.2a, A. 2b, AFDA1, 2, 5Block: 2 classesTraditional:3 classesStandardA.2aProperties of ExponentsPrerequisites: 7.16 apply properties w/ realnumbers: a) commutative andassociative properties foradd/mult; b) distrib property; c)add/mult identity properties; d)add/mult inverse properties; e)mult property of zero8.15 c) ID properties of operationsused to solve equationsExtensions:AII.1 given rational/radical/ polyexpressions ‐ b) add/sub/mult/div/simplifyradical exp containing rationalnumbers/variables/ expressionscontaining rational exponents; c)write radical exp as exp containingrational exponents? The laws of exponents can be investigated using inductivereasoning.? A relationship exists between the laws of exponents and scientific notation.? Simplify monomial expressions and ratios of monomialexpressions in which the exponents are integers, using the laws of exponents.Key VocabularyMonomialDOE Lesson PlansA.2 - Multiplying Polynomials Using Algebra Tiles - Expressions and OperationsA.2 - Adding and Subtracting Polynomials Using Algebra Tiles - Expressions and OperationsA.2 - Exponents - Expressions and OperationsA.2 - Scientifically Speaking - Expressions and OperationsA.2 - Dividing Polynomials Using Algebra Tiles - Expressions and OperationsA.2 - Factoring - Expressions and OperationsTextbook ResourcesPrentice Hall Algebra 1 Chapter 7 Block: 1 classTraditional:2 classesStandardA.2bOperations with PolynomialsPrerequisites: 7.16 apply properties w/ realnumbers: a) commutative andassociative properties foradd/mult; b) distrib property; c)add/mult identity properties; d)add/mult inverse properties; e)mult property of zero8.15 c) ID properties of operationsused to solve equationsExtensions:AII.1 given rational/radical/ polyexpressions ‐ a)add/sub/mult/div/simplify rationalalg expressions;b) add/sub/mult/div/simplifyradical exp containing rationalnumbers/variables/ expressionscontaining rational exponents; AII.3 perform operations oncomplex numbers/express resultsin simplest form using patterns ofthe powers of i/ID field propertiesfor complex numbers? Operations with polynomials can be represented concretely,pictorially, and symbolically.? Polynomial expressions can be used to model real-worldsituations.? The distributive property is the unifying concept for polynomial operations.? Model sums, differences, products, and quotients of polynomials with concrete objects and their related pictorial representations.? Relate concrete and pictorial manipulations that modelpolynomial operations to their corresponding symbolicrepresentations.? Find sums and differences of polynomials.? Find products of polynomials. The factors will have no more than five total terms (i.e. (4x+2)(3x+5) represents four terms and (x+1)(2x2 +x+3) represents five terms).? Find the quotient of polynomials, using a monomial or binomial divisor, or a completely factored divisor.Key VocabularyMonomialBinomialTrinomialPolynomialDOE Lesson PlansA.2 - Multiplying Polynomials Using Algebra Tiles - Expressions and OperationsA.2 - Adding and Subtracting Polynomials Using Algebra Tiles - Expressions and OperationsA.2 - Exponents - Expressions and OperationsA.2 - Scientifically Speaking - Expressions and OperationsA.2 - Dividing Polynomials Using Algebra Tiles - Expressions and OperationsA.2 - Factoring - Expressions and OperationsTextbook ResourcesPrentice Hall Algebra 1 Chapter 8 Block: 3 classesTraditional:5 classes(w/ test and review)StandardAFDA 1.dFactoringPrerequisites: A.2 perform operations onpolynomials ‐ a) apply laws ofexponents to perform operations on expressions; b) add/sub/ mult/div poly; c) factor first‐/second‐degreebinomials/ trinomials (1 or 2 vars)Extensions:AII.1 given rational/radical/ polyexpressions ‐ a)add/sub/mult/div/simplify rationalalg expressions; b) add/sub/mult/div/simplifyradical exp containing rationalnumbers/variables/ expressionscontaining rational exponents; c)write radical exp as exp containingrational exponents; d) factorpolynomials completely? Factor completely first- and second-degree polynomials withintegral coefficients.? Identify prime polynomials.? Use the x-intercepts from the graphical representation of thepolynomial to determine and confirm its factors.? Factoring reverses polynomial multiplication.? Some polynomials are prime polynomials and cannot be factored over the set of real numbers.? Polynomial expressions can be used to define functions and these functions can be represented graphically.? There is a relationship between the factors of any polynomial and the x-intercepts of the graph of its related function.Identify the zeros of the function algebraically and confirm them using the graphing calculator.Key VocabularyMonomialBinomialTrinomialPolynomialPrime PolynomialX-InterceptDOE Lesson PlansAFDA.1 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.1 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.1 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.1 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry's Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 5 Block: 2 classesTraditional:4 classesStandardAFDA 1.c, dSolving Quadratics by Graphing – Root & ZerosPrerequisites: A.4 solve quad equation (2 vars) c) solve quad equations (alg/graph); A.7 investigate/analyze function(linear/quad) families andcharacteristics (alg/graph) c) zeros; d) x‐ and yintercepts;e) find values of funct for elements in domainExtensions:AII.4 solve (alg/graph)a) abs value equation/inequ; b)quad equation over complex; c)equation containing rationalalgebraic expression; d) equationcontaining radical exp? A value x in the domain of f is an x-intercept or a zero of afunction f if and only if f(x) = 0.? Identify the zeros of the function algebraically and confirm them, using the graphing calculator.? Identify the domain, range, zeros, and intercepts of a functionpresented algebraically or graphically.Key VocabularyFamily of functionsparabolaquadratic equationreal numbersroot(s)set builder notationsolution setstandard form of a quadratic equationx-interceptzeros of a functionDOE Lesson PlansAFDA.1 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.1 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.1 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.1 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry's Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 5 Block: 2 classesTraditional:3 classesStandardAFDA 1Recognizing the General Shape of a Quadratic FunctionPrerequisites: 8.17 ID domain, range, independent/dependentvariableA.7 investigate/analyze function(quadratic) families andcharacteristics (alg/graph) ‐ a)determine relation is function; b)domain/range; c) zeros; d) x‐ and y-intercepts; e) find values of functions for elements in domain; f) make connections between/among multiplerepresentations of functions (concrete/verbal/numeric/graphic/algebraic)Extensions:AII.7 investigate/analyze functions(alg/graph)a) domain/range; b) zeros;c) x‐ and y‐intercepts; d) intervalsincreasing/decreasing; e) asymptotes; f) endbehavior; g) inverse of a function; h) composition of multiple functionsIdentify the domain and range for a relation, given a set of ordered pairs, a table, or a graph.For each x in the domain of f, find f(x).Identify the zeros of the function algebraically and confirm them using the graphing calculator.Identify the domain, range, zeros, and intercepts of a function presented algebraically or graphically.Recognize restricted/discontinuous domains and ranges.Recognize graphs of parent functions for quadratic functions.Identify x-intercepts (zeros), y-intercepts, symmetry, asymptotes, intervals for which the function is increasing or decreasing, points of discontinuity, end behavior, and maximum and minimum points, given a graph of a function.Describe continuity of a function on its domain or at a point.Express intervals using correct interval notation and/or a compound inequality.Key VocabularyDomainRangeFunctionZerosX and Y-InterceptsDiscontinuousContinuousLinearQuadraticSymmetryEnd BehaviorMaximum and Minimum PointsInterval NotationCompound InequalityDOE Lesson PlansAFDA.1 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.1 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.1 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.1 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry's Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 5 Block: 1 classTraditional:2 classesStandardAFDA 1.eRecognizing X-and Y-Intercepts(Quadratic Functions)Prerequisites: A.7 investigate/analyze function(quad) families andcharacteristics (alg/graph) ‐ c) zeros; d) x‐ and y-intercepts; e) find values of functions for elements in domainExtensions:AII.7 investigate/analyze functions(alg/graph)b) zeros; c) x‐ and y‐interceptsIdentify the zeros of the function algebraically and confirm them using the graphing calculator.Identify the domain, range, zeros, and intercepts of a function presented algebraically or graphically.Identify x-intercepts (zeros), y-intercepts, symmetry, asymptotes, intervals for which the function is increasing or decreasing, points of discontinuity, end behavior, and maximum and minimum points, given a graph of a function.Key VocabularyFunctionZerosX and Y-InterceptsDOE Lesson PlansAFDA.1 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.1 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.1 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.1 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry's Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 5 Block: 1 classesTraditional:2 classesStandardAFDA 1.fFunction Intervals – Increasing or Decreasing (Quadratic)Prerequisites: A.7 investigate/analyze function(quad) families andcharacteristics (alg/graph) ‐ a)determine relation is function; b)domain/range; c) zeros; d) x‐ and y-intercepts; e) find values of functions for elements in domain; f) make connections between/among multiplerepresentations of functions (concrete/verbal/numeric/graphic/algebraic)Extensions:AII.7 investigate/analyze functions(alg/graph)d) intervals: increasing/decreasing; e) asymptotes; f) end behavior;g) inverse of a function; h) composition of multiple functionsIdentify the domain and range for a relation, given a set of ordered pairs, a table, or a graph.Identify the domain, range, zeros, and intercepts of a function presented algebraically or graphically.Recognize restricted/discontinuous domains and ranges.Identify x-intercepts (zeros), y-intercepts, symmetry, asymptotes, intervals for which the function is increasing or decreasing, points of discontinuity, end behavior, and maximum and minimum points, given a graph of a function.Describe continuity of a function on its domain or at a point.Express intervals using correct interval notation and/or a compound inequality.Key VocabularyDomainRangeFunctionDiscontinuousContinuousSymmetryEnd BehaviorInterval NotationCompound InequalityDOE Lesson PlansAFDA.1 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.1 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.1 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.1 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry's Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 5 Block: 2 classesTraditional:4 classes(w/review and test)StandardAFDA 1.fEnd Behavior of Functions(Quadratic)Prerequisites: A.7 investigate/analyze function(quad) families andcharacteristics (alg/graph) Extensions:AII.7 investigate/analyze functions(alg/graph) f) end behaviorRecognize restricted/discontinuous domains and ranges.Identify x-intercepts (zeros), y-intercepts, symmetry, asymptotes, intervals for which the function is increasing or decreasing, points of discontinuity, end behavior, and maximum and minimum points, given a graph of a function.Describe continuity of a function on its domain or at a point.Express intervals using correct interval notation and/or a compound inequality.Key VocabularyFunctionDiscontinuousContinuousSymmetryEnd BehaviorMaximum and Minimum PointsInterval NotationDOE Lesson PlansAFDA.1 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.1 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.1 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.1 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry's Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 5 Block: 2 classesTraditional:4 classesStandardAFDA 2Graphing by Transformations (Quadratic)Prerequisites: A.6 graph linear equations/linearinequal (2 vars) ‐ a) determineslope of line given equation of line/graph of line or two points on line ‐slope as rate of change; b) writeequation of line given graph ofline/two points on line or slope/ point on lineExtensions:AII.6 recognize general shape offunction (abs val/sq root/ cuberoot/rational/poly/exp/ log)families/convert between graphicand symbolic forms of functions ‐transformational approach tographingKnowledge of transformational graphing using parent functions can be used to generate a mathematical model from a scatter plot that approximates the data.? Transformations include:- Translations (horizontal and vertical shifting of a graph)- Reflections- Dilations (stretching and compressing graphs) and- RotationsWrite the equation of a linear function given the graph of the parent function and transformation information.Describe the transformation from the parent function given the equation or the graph of the function.Given the equation of a function, recognize the parent function and transformation to graph the given function.Key VocabularyTransformationTranslationReflectionDilationRotationParent FunctionDOE Lesson PlansAFDA.2 - Logarithmic Modeling: I. Introduction to the unit ? Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.2 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.2 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.2 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry?s Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 5 Block: 3 classesTraditional:5 classesStandardAFDA 1Solving Quadratics by Factoring and FormulaPrerequisites: A.4 solve multistep linear/ quadequation (2 vars) ‐ a) solve literalequation; c) solve quadequations (alg/graph); d) solvemultistep linear equations(alg/graph) f) solve real‐worldproblems involving equations andsystems of equationsExtensions:AII.5 solve nonlinear systems(alg/graph)? Factor completely first- and second-degree polynomials withintegral coefficients.? Identify prime polynomials.? Use the x-intercepts from the graphical representation of thepolynomial to determine and confirm its factors.? Polynomial expressions can be used to define functions and these functions can be represented graphically.? There is a relationship between the factors of any polynomial and the x-intercepts of the graph of its related function.? Identify the zeros of the function algebraically and confirm them using the graphing calculator.Key VocabularyFamily of functionsparabolaquadratic equationreal numbersroot(s)set builder notationsolution setstandard form of a quadratic equationx-interceptzeros of a functionDOE Lesson PlansAFDA.1 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.1 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.1 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.1 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry's Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 5 Block: 3 classesTraditional:5 classesStandardAFDA 5Graphing Systems of Equations and Solving (Linear-Quadratic & Quadratic-Quadratic)Prerequisites: A.4 solve multistep linear/ quadequation (2 vars) ‐ a) solve literalequation; b) justify steps used insimplifying expresessions andsolving equations; c) solve quadequations (alg/graph); d) solvemultistep linear equations(alg/graph); e) solve systems oftwo linear equation (2 vars ‐alg/graph); f) solve real‐worldproblems involving equations andsystems of equationsExtensions:AII.5 solve nonlinear systems(alg/graph)Model practical problems with systems of equations.Solve systems of equations with pencil and paper and using a graphing calculator.Solve systems of equations algebraically and graphically.Key VocabularyIndependentDependentInconsistentPoint of IntersectionSubstitutionEliminationDOE Lesson PlansTextbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 5 Performance Task must be completed and graded on rubric by the end of Quarter 2Sample Performance Tasks: Reach Out and Touch SomeoneSuspension Bridges: The Golden Gate BridgeThird Nine WeeksDatesStandardsEssential Knowledge/Skills/UnderstandingResourcesTrad.4Block2Trad.5Block2Trad.12Block6Trad.18Block10Roots and RadicalsAFDA.1Function FamiliesAFDA.1Function FamiliesAFDA.3,4Collecting Data and Finding best fit equation.Find the square root, cube root … of numbers.Find the square root, cube root … of variables.Put this together and find roots of expression with numbers and variables.Review Linear Graphs. Identify the followingIdentify x and y interceptsState the domain and rangeReview Quadratic Graphs. Identify the followingIdentify x and y interceptsState domain and range.Identify the point of inflection.Introduce other polynomial, square root, cube root, exponential and logarithmic functions and their graphs. Be able to identify the followingx and y interceptsdomain and rangepoints of inflectionasymptotespoints of discontinuityareas function is increasing / decreasingdescribe end behaviorsInvestigate scatter plots to determine if patternsexist, and identify the patterns.Find an equation for the curve of best fit for data,using a graphing calculator. Models will includelinear, quadratic, exponential, and logarithmicfunctions.Make predictions, using data, scatter plots, orequation of curve of best fit.Given an equation, graph a linear, quadratic,exponential or logarithmic function with the aid of agraphing calculator.Make predictions given a table of values, a graph, oran algebraic formula.Key VocabularyRootDomain, RangeInflection PointsInterceptsAsymptotesScatter PlotBest FitExponentialLogarithmicLessons and ResourcesPolynomial Function FamiliesVDOE Lesson PlansAFDA.1 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.1 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.1 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.1 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry's Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsAFDA.4 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M? Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and FunctionsAFDA.4 - Linear Modeling: I. Introduction--Up to Speed; II. Investigating Slope, Equations, and Tables using the CBR? ; III. See Starbuck Run White Water Rafting on Silly Creek. - Algebra and FunctionsAFDA.4 - Logarithmic Modeling: I. Introduction to the unit ? Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and FunctionsAFDA.4 - Quadratic Modeling: I. Quadratic CBR? Exploration; II. Solutions, Factors, Line Of Symmetry; III. Quadratic Investigation Vertex Form; IV. Triangular Numbers; V. Terry?s Time; VI. Quadratics Playground Exploration; VII. Quadratics Web Page Explorat - Algebra and FunctionsPerformance Task must be completed and graded on rubric by the end of Quarter 1Sample Performance Tasks: M&M Elimination Activity Drug Filtering - Growth and Decay Project.Fourth Nine WeeksDatesStandardsEssential Knowledge/Skills/UnderstandingResourcesTrad.7Block4Trad.5Block3Trad.6Block3Trad.4Block2Trad.6Block3Trad.10Block5AFDA.6AFDA.6AFDA.7AFDA.7AFDA.7AFDA.8Calculate ProbabilitiesDistinguish between and calculate theoretical and experimental probabilitiesDefine Law of Large Numbers.Distinguish between an independent and a dependent event.Identify mutually exclusive events.Calculate the probability of more than one event happening.Venn Diagrams.Tree DiagramsPermutations and CombinationsCompute FactorialCompute Permutations and Combinations.Know which to use to solve word problems that involve choosing a number of objects out of a group. Analyzing DataMaking a box plot. Find Quartiles, Median, IQR and Range. Check for outliers.Make a dot plot.Use both to analyze shape. Determine if the data look approximately normal.Use the calculator to find mean and standard deviation.Z-ScoresCalculating z-scores .Given z-score, find the actual score, mean or standard deviation.Normal Distributions68-95-99.7 RuleFind areas under the normal curve to find probabilities.Given an probability find the value associated with it by using the area under a normal curve.Design and Conduct Experiments and Observational StudiesTell the difference between an observation and an experiment.What makes a good and bad observational study. Design and conduct one.What is a good experimental design. Design and conduct one.Key VocabularyTheoretical ProbabilityExperimental ProbabilityIndependentDependentMutually ExclusiveUnions – OrIntersection - AndDOE Lesson PlansAFDA.6 - Probability: I. Introduction to Types of Events ? Name the Event; II. Venn Diagram Analysis ? Students with an Earring; Band and Choir;III. Permutations; IV. Law of Large Numbers. - Data AnalysisTextbook ResourcesResources/Lessons HYPERLINK "" Probability and Data AnalysisKey VocabularyPermutationCombinationFactorialResources/Lessons HYPERLINK "" Probability and Data AnalysisDOE Lesson PlansAFDA.6 - Probability: I. Introduction to Types of Events ? Name the Event; II. Venn Diagram Analysis ? Students with an Earring; Band and Choir;III. Permutations; IV. Law of Large Numbers. - Data AnalysisKey VocabularyBox PlotIQRRangeDot PlotMeanMedianStandard DeviationResources/Lessons HYPERLINK "" Probability and Data AnalysisDOE Lesson PlansAFDA.7 - Data Analysis: I. Z-Scores and NFL Quarterback Salaries ? Introduction to z-scores; II. Z-Scores and Major League Baseball Salaries; III. What is a Normal Curve?; IV. Standard Normal Distributions; V. Probability Density; VI. Sampling: Politics and Opinio - Data AnalysisResources/Lessons HYPERLINK "" Probability and Data AnalysisDOE Lesson PlansAFDA.8 - Data Analysis: I. Z-Scores and NFL Quarterback Salaries ? Introduction to z-scores; II. Z-Scores and Major League Baseball Salaries; III. What is a Normal Curve?; IV. Standard Normal Distributions; V. Probability Density; VI. Sampling: Politics and Opinio - Data AnalysisResources/Lessons HYPERLINK "" Probability and Data AnalysisResources/Lessons HYPERLINK "" Probability and Data AnalysisPerformance Task must be completed and graded on rubric by the end of Quarter 4Sample Performance Tasks:Statistics ProjectHelicopter Project – Collecting Data ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download