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BEDFORD COUNTY PUBLIC SCHOOLS Algebra, Functions, and Data Analysis Curriculum Guide

Dates Standards/Essential Questions Essential Knowledge/Skills/Understanding Resources1st 9 Weeks A.4, A. 5, AFDA 1, 2, 3, 5

Block:1 class

Traditional:2 classes

StandardA.4/A.5

Solving Equations and Inequalities

Prerequisites:7.14 a) solve one and two step‐ ‐linear 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 linear‐inequalities and graph results onnumber line; c) ID properties ofoperations used to solve

Extensions:AII.4 solve (alg/graph)a) abs value equation/inequ; b)quad equation over complex; c)equation containing rational

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.

Key VocabularycoefficientconstantField Properties: closure, commutative, associative, inverse, identity, and distributiveformulainfinite number of solutionslinear equationliteral equationProperties of Equality: reflexive, symmetric, transitive, substitution, addition, subtraction, multiplication, and divisionreal numbersset builder notationsolution setinequalityset builder notationsystem of inequalities

DOE Lesson PlansEnhanced Scope and Sequence (Algebra 1)

Textbook ResourcesPrentice Hall Algebra 1 Chapter 2 and 3

http://bcpshelpdeskhighschoolmath.weebly.com/algebra-functions.html




algebraic expression; d) equationcontaining radical expAII.5 solve nonlinear systems(alg/graph)

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.

Block:2 classes


StandardAFDA 1

Graphing Linear Equations and Slope

Prerequisites: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 change‐

Extensions: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 graph

Determine the slope or rate of change of the equation of a line

For each x in the domain of f, find f(x) 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

Key VocabularyDomainRangeFunctionInitial valueInterceptsSlopeY-InterceptSlope Intercept FormRate of ChangeCoefficientLinear

DOE Lesson PlansEnhanced Scope and Sequence (AFDA)

Textbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 1





Block:4 classes

Traditional: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 world‐problems involving inverse/jointvariation/combo of direct/inversevariations

Given 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 proportionalitySlopeY-InterceptOriginProportional relationshipRate of ChangeFunction Rule




Block:1 class


StandardAFDA 2

Writing Linear Equations

Prerequisites:A.6 graph linear equations/linearinequalities (2 variables) b) writeequation of line given graph ofline/two points on line or

Write 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.

Key VocabularySlopeY-InterceptSlope-Intercept FormTransformationFunctionLinear

DOE Lesson Plans




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 tographing

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.

Enhanced Scope and Sequence (AFDA)

Textbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 1 and 2


Block:2 classes


StandardAFDA 1

Polynomial Function Families

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:

Identify 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 Inequality





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 functions

Textbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 1, 2, 4 and 5


Block:1 class


StandardAFDA 1

Recognizing 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:






Recognize graphs of parent functions for linear functions.




Key VocabularyDomainRangeFunctionZerosX and Y-InterceptsDiscontinuousContinuousLinearSymmetryEnd BehaviorMaximum and Minimum PointsInterval NotationCompound Inequality


Textbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 1,





2, 4 and 5


Block:2 classes


StandardAFDA 1

Relations 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:






Recognize graphs of parent functions for linear and quadratic functions.




Key VocabularyDomainRangeFunctionZerosX and Y-InterceptsDiscontinuousContinuousLinearQuadraticSymmetryEnd BehaviorMaximum and Minimum PointsInterval NotationCompound Inequality


Textbook Resources





Virginia’s Algebra, Function, and Data Analysis Chapter 1, 2, 4 and 5


Block:1 class


StandardAFDA 1.e

Recognizing 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 intercepts‐ ‐

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.


Key VocabularyFunctionZerosX and Y-Intercepts


Textbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 1, 2, and 4


Block:1 classes

Traditional:

StandardAFDA 1.f

Function Intervals – Increasing or Decreasing (Linear)



Key VocabularyDomainRangeFunctionDiscontinuous






2 classesPrerequisites: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 functions





ContinuousSymmetryEnd BehaviorInterval NotationCompound Inequality




Block:3 classes

Traditional:5 classes(w/review and test)

StandardAFDA 1.f

End Behavior of Functions(Linear)

Prerequisites:A.7 investigate/analyze function(linear) families andcharacteristics (alg/graph)




Express intervals using correct interval notation

Key VocabularyFunctionDiscontinuousContinuousSymmetryEnd BehaviorMaximum and Minimum PointsInterval Notation




Extensions:AII.7 investigate/analyze functions(alg/graph) f) end behavior

and/or a compound inequality.DOE Lesson PlansEnhanced Scope and Sequence (AFDA)



Block:1 class


StandardAFDA 2

Graphing by Transformations(Linear)

Prerequisites:A.6 graph linear equations/linearinequal (2 vars) a) determine‐slope 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)

Knowledge 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- Rotations

Write 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 PlansEnhanced Scope and Sequence (AFDA)








families/convert between graphicand symbolic forms of functions ‐transformational approach tographing

Block:3 classes


StandardAFDA 5

Graphing Systems of Linear Equations and Solving

Prerequisites:A.4 solve multistep linear/ quadequation (2 vars) a) solve literal‐equation; 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 world‐problems 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 IntersectionSubstitutionElimination




Performance Task must be completed and graded on rubric by the end of Quarter 1

Sample Performance Tasks: \\bcps4\math_pacing_guides\Best of Secondary Math\html\task673.html (Healthcare: A Costly Business)




\\bcps4\math_pacing_guides\Best of Secondary Math\html\task661.html (Students in Motion)

Lessons and Resources\AFDA1,2,3,5 Linear Performance Task from Henrico County Schools.docm

Dates Standards/Essential Questions Essential Knowledge/Skills/Understanding Resources2nd 9 Weeks A.2a, A. 2b, AFDA1, 2, 5

Block:2 classes


StandardA.2a

Properties of Exponents

Prerequisites: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 equations

Extensions:AII.1 given rational/radical/ polyexpressions ‐ b) add/sub/mult/div/simplifyradical exp containing rational

• 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 VocabularyMonomial


Textbook ResourcesPrentice Hall Algebra 1 Chapter 7





numbers/variables/ expressionscontaining rational exponents; c)write radical exp as exp containingrational exponents

Block:1 class


StandardA.2b

Operations with Polynomials

Prerequisites: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 equations

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;AII.3 perform operations on

• 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 VocabularyMonomialBinomialTrinomialPolynomial


Textbook ResourcesPrentice Hall Algebra 1 Chapter 8





complex numbers/express resultsin simplest form using patterns ofthe powers of i/ID field propertiesfor complex numbers

Block:3 classes

Traditional:5 classes(w/ test and review)

StandardAFDA 1.d

Factoring

Prerequisites:A.2 perform operations onpolynomials a) apply laws of‐exponents to perform operations on expressions; b) add/sub/ mult/div poly; c) factor first /second degree‐ ‐binomials/ 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

• 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-Intercept







containingrational exponents; d) factorpolynomials completely

Block:2 classes


StandardAFDA 1.c, d

Solving Quadratics by Graphing – Root & Zeros

Prerequisites: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 domain

Extensions: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 function




Block:2 classes

Traditional:

StandardAFDA 1

Recognizing the General Shape



Key VocabularyDomainRangeFunction




3 classes of a Quadratic Function

Prerequisites: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 functions

and confirm them using the graphing calculator. Identify the domain, range, zeros, and intercepts

of a function presented algebraically or graphically.


Recognize graphs of parent functions for quadratic functions.




ZerosX and Y-InterceptsDiscontinuousContinuousLinearQuadraticSymmetryEnd BehaviorMaximum and Minimum PointsInterval NotationCompound Inequality




Block:1 class

StandardAFDA 1.e

Identify the zeros of the function algebraically and confirm them using the graphing calculator.

Identify the domain, range, zeros, and intercepts

Key VocabularyFunctionZeros





Recognizing 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 intercepts‐ ‐

of a function presented algebraically or graphically.


X and Y-Intercepts




Block:1 classes


StandardAFDA 1.f

Function 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)







Key VocabularyDomainRangeFunctionDiscontinuousContinuousSymmetryEnd BehaviorInterval NotationCompound Inequality






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 functions


Block:2 classes

Traditional:4 classes(w/review and test)

StandardAFDA 1.f

End 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 behavior





Key VocabularyFunctionDiscontinuousContinuousSymmetryEnd BehaviorMaximum and Minimum PointsInterval Notation




Block:2 classes

StandardAFDA 2

Knowledge of transformational graphing using parent functions can be used to generate a mathematical model from a scatter plot that

Key VocabularyTransformationTranslation







Graphing by Transformations(Quadratic)

Prerequisites:A.6 graph linear equations/linearinequal (2 vars) a) determine‐slope 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 tographing

approximates the data.• Transformations include:

- Translations (horizontal and vertical shifting of a graph)- Reflections- Dilations (stretching and compressing graphs) and- Rotations

Write 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.

ReflectionDilationRotationParent Function




Block:3 classes


StandardAFDA 1

Solving Quadratics by Factoring and Formula

Prerequisites:A.4 solve multistep linear/ quadequation (2 vars) a) solve ‐literal

• 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.

Key VocabularyFamily of functionsparabolaquadratic equationreal numbersroot(s)set builder notationsolution setstandard form of a quadratic equationx-intercept




equation; c) solve quadequations (alg/graph); d) solvemultistep linear equations(alg/graph) f) solve real world‐problems involving equations andsystems of equationsExtensions:AII.5 solve nonlinear systems(alg/graph)

• 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.

zeros of a function




Block:3 classes


StandardAFDA 5

Graphing 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) solve

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 IntersectionSubstitutionElimination






multistep linear equations(alg/graph); e) solve systems oftwo linear equation (2 vars ‐alg/graph); f) solve real world‐problems involving equations andsystems of equationsExtensions:AII.5 solve nonlinear systems(alg/graph)



Sample Performance Tasks: \\bcps4\math_pacing_guides\Best of Secondary Math\html\task666.html (Reach Out and Touch Someone)

\\bcps4\math_pacing_guides\Best of Secondary Math\html\task671.html (Suspension Bridges: The Golden Gate Bridge)

Dates Standards Essential Knowledge/Skills/Understanding ResourcesTrad.4

Block2

Roots and Radicals - 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.

Key VocabularyRootDomain, RangeInflection PointsIntercepts




Trad.5

Block2

Trad.12

Block

6

Trad.18

Block

10

AFDA.1

Function Families

AFDA.1

Function Families

AFDA.3,4

Collecting Data and Finding best fit equation.

Review Linear Graphs. Identify the following- Identify x and y intercepts- State the domain and range

Review Quadratic Graphs. Identify the following- Identify x and y intercepts- State 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 following

- x and y intercepts- domain and range- points of inflection- asymptotes- points of discontinuity- areas function is increasing / decreasing- describe end behaviors

Investigate 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, or

AsymptotesScatter PlotBest FitExponentialLogarithmic

Lessons and ResourcesPolynomial Function Families


an algebraic formula.


Sample Performance Tasks:

Dates Standards Essential Knowledge/Skills/Understanding ResourcesTrad.7

Block4

Trad.5

AFDA.6

AFDA.6

Calculate Probabilities- Distinguish between and calculate theoretical and

experimental probabilities- Define 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 Diagrams

Permutations and Combinations- Compute Factorial- Compute Permutations and Combinations.- Know which to use to solve word problems that

Key VocabularyTheoretical ProbabilityExperimental ProbabilityIndependentDependentMutually ExclusiveUnions – OrIntersection - And

DOE Lesson Plans

Textbook Resources

Resources/Lessons

Probability and Data Analysis

Key VocabularyPermutationCombination



Block3

Trad.6

Block3

Trad.4Block2

Trad.6

Block3

AFDA.7

AFDA.7

AFDA.7

involve choosing a number of objects out of a group.

Analyzing Data- Making 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-Scores- Calculating z-scores .- Given z-score, find the actual score, mean or

standard deviation.

Normal Distributions- 68-95-99.7 Rule- Find 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.

Factorial

Resources/Lessons


Key VocabularyBox PlotIQRRangeDot PlotMeanMedianStandard Deviation

Resources/Lessons


Resources/Lessons


Resources/Lessons







Trad.10

Block5

AFDA.8 Design and Conduct Experiments and Observational Studies

- Tell 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.

Resources/Lessons



Sample Performance Tasks:Statistics ProjectHelicopter Project – Collecting Data


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