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 Plans A.4 - How Much Is That Tune? - Equations and

Inequalities, Statistics A.4 - Solve for the Unknown - Equations and

Inequalities A.4 - A Mystery to Solve - Equations and Inequalities A.4 - Cover-Up Problems - Equations and

Inequalities A.4 - Algebra Tiles and Equation Solving - Equations

and Inequalities A.4 - Factoring for Zeros - Equations and

Inequalities, Functions A.4 - Solving Linear Equations - Equations and

Virginia Department of Education Mathematical Instructional Resources

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

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.

Inequalities A.4 - Road Trip - Equations and Inequalities A.4 - Spring Fling Carnival - Equations and

Inequalities A.4 - The Exercise Fields - Equations and

Inequalities A.5 - Inequalities - Equations and Inequalities A.5 - Greetings - Equations and Inequalities A.5 - Graphing Systems of Inequalities - Equations

and Inequalities

Textbook ResourcesPrentice Hall Algebra 1 Chapter 2 and 3

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

Block:2 classes

Traditional:3 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:

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 Plans AFDA.1 - Logarithmic Modeling: I. Introduction to the

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

AII.4 solve (algebraically/graph)a) abs value equation/inequalityAII.7 investigate/analyze functions(algebraically/graph)

unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.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 Functions

AFDA.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 Functions

AFDA.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 Functions

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

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

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

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.

Key VocabularyDirect VariationInverse VariationConstant of variationConstant of proportionalitySlopeY-InterceptOriginProportional relationshipRate of ChangeFunction Rule

DOE Lesson Plans

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

(algebraically/graph)/inversevariation (algebraically)Extensions:AII.10 ID/create/solve real world‐problems involving inverse/jointvariation/combo of direct/inversevariations

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.

AFDA.3 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.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 Functions

AFDA.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 Functions

AFDA.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 Functions

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

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

Block:1 class

Traditional:2 classes

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 slope/point on line

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. Write an equation of a line when given the

Key VocabularySlopeY-InterceptSlope-Intercept FormTransformationFunctionLinear

DOE Lesson Plans AFDA.2 - Logarithmic Modeling: I. Introduction to the

unit � Switch It Up; II. Transforming Functions; III.

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

Extensions: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

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.

High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.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 Functions

AFDA.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 Functions

AFDA.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 Functions

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

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

Block:2 classes

Traditional:3 classes

StandardAFDA 1

Polynomial Function Families

Prerequisites:8.17 ID domain, range, independent/dependentvariableA.7 investigate/analyze function

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.

Key VocabularyDomainRangeFunctionZerosX and Y-InterceptsDiscontinuousContinuousLinearQuadratic

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

(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 functions

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.

SymmetryEnd BehaviorMaximum and Minimum PointsInterval NotationCompound Inequality

DOE Lesson Plans AFDA.1 - Logarithmic Modeling: I. Introduction to the

unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.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 Functions

AFDA.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 Functions

AFDA.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 Functions

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

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

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

Block:1 class

Traditional:2 classes

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: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

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 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 Inequality

DOE Lesson Plans AFDA.1 - Logarithmic Modeling: I. Introduction to the

unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.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 Functions

AFDA.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 Functions

AFDA.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 Functions

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

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

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

Block:2 classes

Traditional:3 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:AII.7 investigate/analyze

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

DOE Lesson Plans AFDA.1 - Logarithmic Modeling: I. Introduction to the

unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.1 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M™

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

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

Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and Functions

AFDA.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 Functions

AFDA.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 Functions

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

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

Block:1 class

Traditional:2 classes

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 domain

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.

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-Intercepts

DOE Lesson Plans AFDA.1 - Logarithmic Modeling: I. Introduction to the

unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.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. -

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

Extensions:AII.7 investigate/analyze functions(alg/graph)b) zeros; c) x and y intercepts‐ ‐

Algebra and Functions AFDA.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 Functions

AFDA.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 Functions

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

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

Block:1 classes

Traditional:2 classes

StandardAFDA 1.f

Function 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 multiple

Identify 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 Inequality

DOE Lesson Plans AFDA.1 - Logarithmic Modeling: I. Introduction to the

unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. -

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

representations 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

Algebra and Functions AFDA.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 Functions

AFDA.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 Functions

AFDA.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 Functions

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

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

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)Extensions:AII.7 investigate/analyze

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 VocabularyFunctionDiscontinuousContinuousSymmetryEnd BehaviorMaximum and Minimum PointsInterval Notation

DOE Lesson Plans

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

functions(alg/graph) f) end behavior

AFDA.1 - Logarithmic Modeling: I. Introduction to the unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.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 Functions

AFDA.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 Functions

AFDA.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 Functions

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

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

Block:1 class

Traditional:2 classes

StandardAFDA 2

Graphing by Transformations(Linear)

Prerequisites:A.6 graph linear equations/linear

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

Key VocabularyTransformationTranslationReflectionDilationRotationParent FunctionsDOE Lesson Plans

AFDA.2 - Logarithmic Modeling: I. Introduction to the

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

inequal (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

- 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.

unit � Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.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 Functions

AFDA.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 Functions

AFDA.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 Functions

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

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

Block:3 classes

Traditional:6 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 in

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

DOE Lesson Plans

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

simplifying 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)

Textbook ResourcesVirginia’s Algebra, Function, and Data Analysis Chapter 3

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

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

Sample Performance Tasks:

Suspension Bridges

Healthcare: A Costly Business

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

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

Block:2 classes

Traditional:3 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 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 VocabularyMonomial

DOE Lesson Plans

A.2 - Multiplying Polynomials Using Algebra Tiles - Expressions and Operations

A.2 - Adding and Subtracting Polynomials Using Algebra Tiles - Expressions and Operations

A.2 - Exponents - Expressions and Operations A.2 - Scientifically Speaking - Expressions and

Operations A.2 - Dividing Polynomials Using Algebra Tiles -

Expressions and Operations A.2 - Factoring - Expressions and Operations

Textbook ResourcesPrentice Hall Algebra 1 Chapter 7

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

Block:1 class

Traditional:2 classes

StandardA.2b

Operations with Polynomials

• Operations with polynomials can be represented concretely,pictorially, and symbolically.• Polynomial expressions can be used to model real-world

Key VocabularyMonomialBinomialTrinomialPolynomial

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

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

situations.• 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.

DOE Lesson Plans A.2 - Multiplying Polynomials Using Algebra Tiles -

Expressions and Operations A.2 - Adding and Subtracting Polynomials Using

Algebra Tiles - Expressions and Operations A.2 - Exponents - Expressions and Operations A.2 - Scientifically Speaking - Expressions and

Operations A.2 - Dividing Polynomials Using Algebra Tiles -

Expressions and Operations A.2 - Factoring - Expressions and Operations

Textbook ResourcesPrentice Hall Algebra 1 Chapter 8

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

Block:3 classes

Traditional:5 classes

StandardAFDA 1.d

Factoring

• Factor completely first- and second-degree polynomials withintegral coefficients.• Identify prime polynomials.• Use the x-intercepts from the graphical

Key VocabularyMonomialBinomialTrinomialPolynomial

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

(w/ test and review) 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 containingrational exponents; d) factorpolynomials completely

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.

Prime PolynomialX-Intercept

DOE Lesson Plans AFDA.1 - Logarithmic Modeling: I. Introduction to the

unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.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 Functions

AFDA.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 Functions

AFDA.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 Functions

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

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

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

Block:2 classes

Traditional:4 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

DOE Lesson Plans AFDA.1 - Logarithmic Modeling: I. Introduction to the

unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.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 Functions

AFDA.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 Functions

AFDA.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 Functions

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

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

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

Block:2 classes

Traditional:3 classes

StandardAFDA 1

Recognizing the General Shape 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)

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 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

DOE Lesson Plans AFDA.1 - Logarithmic Modeling: I. Introduction to the

unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.1 - Exponential Modeling: I. Who Wants to be

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

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

a Millionaire?; II. Paper Folding Activity; III. M&M™ Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and Functions

AFDA.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 Functions

AFDA.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 Functions

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

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

Block:1 class

Traditional:2 classes

StandardAFDA 1.e

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:

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.

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-Intercepts

DOE Lesson Plans AFDA.1 - Logarithmic Modeling: I. Introduction to the

unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.1 - Exponential Modeling: I. Who Wants to be a Millionaire?; II. Paper Folding Activity; III. M&M™

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

AII.7 investigate/analyze functions(alg/graph)b) zeros; c) x and y intercepts‐ ‐

Decay; IV. Decaying Dice Game (optional); V. Population Growth; VI. Baseball Players Salaries. - Algebra and Functions

AFDA.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 Functions

AFDA.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 Functions

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

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

Block:1 classes

Traditional:2 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

Identify 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.

Key VocabularyDomainRangeFunctionDiscontinuousContinuousSymmetryEnd BehaviorInterval NotationCompound Inequality

DOE Lesson Plans AFDA.1 - Logarithmic Modeling: I. Introduction to the

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

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

Express intervals using correct interval notation and/or a compound inequality.

unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.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 Functions

AFDA.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 Functions

AFDA.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 Functions

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

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

Block:2 classes

Traditional:4 classes(w/review and test)

StandardAFDA 1.f

End Behavior of Functions(Quadratic)

Prerequisites:A.7 investigate/analyze function

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

Key VocabularyFunctionDiscontinuousContinuousSymmetryEnd BehaviorMaximum and Minimum PointsInterval Notation

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

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

or at a point. Express intervals using correct interval notation

and/or a compound inequality. DOE Lesson Plans AFDA.1 - Logarithmic Modeling: I. Introduction to the

unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.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 Functions

AFDA.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 Functions

AFDA.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 Functions

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

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

Block:2 classes

Traditional:4 classes

StandardAFDA 2

Graphing by Transformations(Quadratic)

Prerequisites:A.6 graph linear equations/linear

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

Key VocabularyTransformationTranslationReflectionDilationRotationParent Function

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

inequal (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

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.

DOE Lesson Plans AFDA.2 - Logarithmic Modeling: I. Introduction to the

unit � Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.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 Functions

AFDA.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 Functions

AFDA.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 Functions

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

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

Block:3 classes

Traditional:5 classes

StandardAFDA 1

Solving Quadratics by Factoring and Formula

Prerequisites:

• 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.

Key VocabularyFamily of functionsparabolaquadratic equationreal numbersroot(s)set builder notation

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

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 world‐problems involving equations andsystems of equationsExtensions:AII.5 solve nonlinear systems(alg/graph)

• 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.

solution setstandard form of a quadratic equationx-interceptzeros of a function

DOE Lesson Plans AFDA.1 - Logarithmic Modeling: I. Introduction to the

unit - Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.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 Functions

AFDA.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 Functions

AFDA.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 Functions

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

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

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

Block:3 classes

Traditional:5 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) 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 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

DOE Lesson Plans

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

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

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

Performance Task must be completed and graded on rubric by the end of Quarter 2

Sample Performance Tasks:

Reach Out and Touch Someone

Suspension Bridges: The Golden Gate Bridge

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

Third Nine Weeks

Dates Standards Essential Knowledge/Skills/Understanding ResourcesTrad.4

Block2

Trad.5

Block2

Trad.12

Block

6

Trad.18

Block

10

Roots and Radicals

AFDA.1

Function Families

AFDA.1

Function Families

AFDA.3,4

Collecting 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 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.

Key VocabularyRootDomain, RangeInflection PointsInterceptsAsymptotesScatter PlotBest FitExponentialLogarithmic

Lessons and ResourcesPolynomial Function Families

VDOE Lesson Plans AFDA.1 - Logarithmic Modeling: I. Introduction to the unit -

Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.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 Functions

AFDA.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 Functions

AFDA.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 Functions

AFDA.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 Functions

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

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.

AFDA.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 Functions

AFDA.4 - Logarithmic Modeling: I. Introduction to the unit � Switch It Up; II. Transforming Functions; III. High/Low Guessing Game; IV. Life Expectancy. - Algebra and Functions

AFDA.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 Functions

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

Sample Performance Tasks:

M&M Elimination Activity Drug Filtering - Growth and Decay Project.

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

Fourth Nine Weeks

Dates Standards Essential Knowledge/Skills/Understanding ResourcesTrad.7

Block4

Trad.5

Block3

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

involve choosing a number of objects out of a group.

Key VocabularyTheoretical ProbabilityExperimental ProbabilityIndependentDependentMutually ExclusiveUnions – OrIntersection - And

DOE Lesson Plans AFDA.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 Analysis

Textbook Resources

Resources/Lessons

Probability and Data Analysis

Key VocabularyPermutationCombinationFactorial

Resources/Lessons

Probability and Data Analysis

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

Trad.6

Block3

Trad.4Block2

Trad.6

Block3

Trad.10

Block5

AFDA.7

AFDA.7

AFDA.7

AFDA.8

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.

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.

DOE Lesson Plans AFDA.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 Analysis

Key VocabularyBox PlotIQRRangeDot PlotMeanMedianStandard DeviationResources/LessonsProbability and Data Analysis

DOE 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

Probability and Data Analysis

DOE 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

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

- What is a good experimental design. Design and conduct one. Probability and Data Analysis

Resources/Lessons

Probability and Data Analysis

Performance Task must be completed and graded on rubric by the end of Quarter 4

Sample Performance Tasks:Statistics ProjectHelicopter Project – Collecting Data