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Unit of Study 1 Algebra 1 Approximate Time Frame: 1 Weeks WSH #2 – 8/2013

Domain: The Real Number System N-RNCluster: Extend the properties of exponents to rational exponentsStandard(s):9-12.N.RN.1 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 because we want [5^(1/3)]^3 = 5^[(1/3) x 3] to hold, so [5^(1/3)]^3 must equal 5.

9-12.N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.

Math Content Objectives Vocabulary Teacher’s Resources and Notes

I can:Explain how integer exponent properties apply to rational exponent properties.

Use adding, subtracting, and multiplying fractions.

Simplify Algebraic Expressions and Rational Exponents.

I can convert from radical form to rational exponent form and vice versa.

I can use (apply) properties of exponents to simplify rational and radical expressions

RationalIndexRadicalRadicandSimplify ExpressionsIntegersExponentsExponential formRadical formRational exponent

Unit of Study 1 - Additional Resources

Assessment Unit of Study 1 Formative Assessment.Possible Daily/Weekly Formative Assessments: Exit Slips, Observation, Daily Work, Homework, Summative Assessments


Domain: The Real Number System N-RNCluster: Extend the properties of exponents to rational exponentsStandard(s):9-12.N.RN.3 Explain why the sum or product of rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.


I can:Explain why the sum or product of rational numbers is rational.

Explain why the sum of a rational number and an irrational number is irrational.

Explain why the product of a nonzero rational number and an irrational number is irrational.

Rational numbersIrrational numbersSumProduct




Domain: Quantities N-QCluster: Reason quantitatively and use units to solve problemsStandard(s):9-12.N.Q.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.*9-12.N.Q.2 Define appropriate quantities for the purpose of descriptive modeling.*9-12.N.Q.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.


I can:-I can use correct units when problem solving.-I can use units to help solve problems.-I can choose the correct scale for graphs and data displays.-Determine the appropriate numeric representation of the quantities in a word problem.-Round all quantities appropriately in a word problem based on the context of the

situation.-Be consistent in labeling all quantities throughout the process of solving a problem.-Examine the results and determine if it makes sense in the context of the problem.

ScaleUnits of measureOriginQuantitiesRoundingNumeric representationsModelingMeasurement toolsUnit conversionsSignificant digitsAccuracyPrecision




Domain: Seeing Structure in Expressions A-SSECluster: Interpret the structure of expressionsStandard(s):

9-12.A.SSE.1 - Interpret expressions that represent a quantity in terms of its context*

A.SSE.1a - Interpret parts of an expression, such as terms, factors, and coefficients.

A.SSE.1b- Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.

A.SSE.2 Use the structure of an expression to identify ways to rewrite it. For example, see x^4 – y^4 as (x^2)^2 – (y^2)^2, thus recognizing it as a difference of squares that can be factored as (x^2 – y^2)(x^2 + y^2).


I can:-Recognize and utilize mathematical relationships to explain, interpret, and model.-Apply different algebraic properties to an expression to produce an equivalent form.

CoefficientTermFactorExpressionEquivalentCommutativeAssociativeDistributiveSubstitution




Domain: Seeing Structure in Expressions A-SSECluster: Write expressions in equivalent forms to solve problemsStandard(s):

9-12.A.SSE.3 - Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression

9-12.A.SSE.3a- Factor a quadratic expression to reveal the zeros of the function it defines.

9-12.A.SSE.3b- Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines

9-12.A.SSE.3c- Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15^t can be rewritten as [1.15^(1/12)]^(12t) ≈ 1.012^(12t) to reveal the approximate equivalent monthly interest rate if the annual rate is 15%


I can:-Transform quadratic expressions from one form to another.

-Apply the terms of maximum and minimum to real life situations (projectile motion).

-Apply the properties of exponents to exponential functions to produce an equivalent form.

-Calculate the zeros of a quadratic function..

CoefficientMaximumTermMinimumFactorZeroExponentRootExpressionQuadraticCompleting the square




Domain: Arithmetic with Polynomials and Rational Expressions A-APRCluster: Perform arithmetic operations on polynomialsStandard(s):

9-12.A.APR.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.


I can:-Produce a polynomial of a given degree.

-Simplify polynomials using order of operations.

-Determine the need for the commutative, associative, and distributive properties and apply them appropriately.

-Identify procedural errors in polynomial computation.

Like termsDistributive propertyAssociative propertyCommutative propertyOrder of operations




Domain: Creating Equations A-CEDCluster: Create equations that describe numbers or relationshipStandard(s):

9-12.A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

A.CED.9-12.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

9-12.A.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.*

9-12.A.CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.*


I can:-Create an equation and use it to find a solution.-Create an inequality and use it to find a solution.-Create equations/inequalities modeling the constraints presented in the model.-Find the point(s) or region of intersection representing viable solutions and explain what

those solutions mean in the context of the situation.-Manipulate a formula using algebraic properties in order to isolate a targeted variable.

FormulaInequalityLinearQuadraticRationalExponentialEquationConstraintsViable regionSystem of equations/inequalitiesLinear programmingVariableIsolateInverse




Domain: Reasoning with Equations and Inequalities A-REICluster: Understand solving equations as a process of reasoning and explain the reasoningStandard(s):

9-12.A.REI.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.


I can:-demonstrate that solving an equation means that the equation remains balanced during

each step- recall the properties of equality- explain why, when solving equations, it is assumed that the original equation is equal-determine if an equation has a solution- choose an appropriate method for solving the equation- justify solution(s) to equations by explaining each step in solving a simple equation

using the properties of equality, beginning with the assumption that the original equation is equal

- construct a mathematically viable argument justifying a given, or self-generated, solution method.

JustifyProperties of EqualityProveViable Argument




Domain: Reasoning with Equations and Inequalities A-REICluster: Solve equations and inequalities in one variableStandard(s):

9-12.A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

9-12.A.REI.4- Solve quadratic equations in one variable. 9-12.A.REI.4a- Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)^2 = q that has the same solutions. Derive the quadratic formula from this form. 9-12.A.REI.4b- Solve quadratic equations by inspection (e.g., for x^2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize

when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b


I can:- recall properties of equality- solve multi-step equations in one variable- solve multi-step inequalities in one variable- determine the effect that rational coefficients have on the inequality symbol and use this

to find the solution set- solve equations and inequalities with coefficients represented by letters- Derive quadratic formula.- Solve a quadratic equation using an appropriate method (factoring, square root, etc).- Identify type of answer based on discriminant.- Apply the quadratic formula from the initial form of the equation.

Properties of equality FactoringProperties of inequality TransformOpposite operations RadicalsInequality Complex solutionsQuadratic equation DeriveConjugates Standard formInitial formVertex formCompleting the squareDiscriminantsReal numbersQuadratic formulaSquare rootsImaginary numbers




Domain: Reasoning with Equations and Inequalities A-REICluster: Solve systems of equations.Standard(s):

9-12.A.REI.5 Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.9-12.A.REI.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.9-12.A.REI.7 Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x^2 +

y^2 = 3.


I can:-Multiply one(or both) equations by a number(s) to obtain equivalent equations having

opposite coefficients of one variable.-Combine the two equations using addition, eliminating at least one of the variables.-Determine the nature of the solutions(infinite, exactly one, or none).-Solve for the remaining variable(if possible).-Substitute solution into one of the equations to solve for other variable.-Check by substituting both solutions into both equations.-Solve the linear system by the graphing method, both by hand and using technology.-Solve the linear system by the substitution method.-Solve the linear system by the elimination method.-Solve a real life problem using a system of linear equations.-Interpret and explain the solution of a real world application-Create a real life problem involving a system of linear equations.-Graph a linear equation and a quadratic equation in the same coordinate plane.-Analyze the graph of a linear and quadratic equation to find the intersection (solution) of

the system.-Use substitution to find an exact solution(s), if it/they exist, to a system involving a linear

and a quadratic equation, and interpret the solutions in the context of the problem.

VariablesAdditive inversesOrdered pairUnique solutionsInfinite solutionsProperties of real numbersSubstitutionParallel linesLinear systemsCoefficientsIntersecting linesEliminationSystems of equationsSlopeLinear equationLeast common multipleGraphing




Domain: Reasoning with Equations and Inequalities A-REICluster: Represent and solve equations and inequalities graphicallyStandard(s):

9-12.A.REI.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).A.REI.11 Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph

the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.*9-12.A.REI.12 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the

intersection of the corresponding half-planes.


I can:-Plot ordered pairs that satisfy the equation-Create a real life problem that is represented by the graph and equation-Solve a real life problem-Explain why x-coordinate of the intersections of the graphs of two functions is a solution

to both functions.-Use paper/pencil and technology to produce a table of values explain what x-coordinate

of a common ordered pair represents in the context of the problem.-Determine and explain why the boundary line should be solid or dashed.-Choose a test point and determine if the point is a solution of the inequality.-Shade the solution half-plane. If the test point is not a solution, then shade the other

half-plane.-Graph multiple inequalities on the same coordinate plane and determine their solution

region.-Use linear programming to maximize profit or minimize cost.

Slope Function (linear, exponential,Curve absolute value, polynomial,Intercept rational, logarithmic)Independent variable EquivalentDependent variable InputOrdered pair IntersectionLine OutputLinear Dashed linePlotting Test pointCoordinate plane Feasibility regionRange Linear programmingGraphing Solid lineVariables Half-planeDomain System of inequalitiesQuadratic BoundarySolution InequalityEquation Solution, shadedIntercept formx-axisy-axis



Domain: Interpreting Functions F-IFCluster: Understand the concept of a function and use function notationStandard(s):

9-12.F.IF.1 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).

9-12.F.IF.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context9-12.F.IF.3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n + 1) = f(n) + f(n -

1) for n greater than or equal to 1.


I can:-Identify a relation/set of data as function or not a function.-Model functions and relations.-Write equations in function form.-Evaluate a function given a specific domain value.-Interpret formulas in terms of function notation, i.e., P(s)=4s. -Apply appropriate use of domain when evaluating functions to obtain the range.-Identify the type of sequence.-Write a function rule explicitly and/or recursively to represent a given sequence.-Determine the domain of a sequence.

DomainFunction notationRangeVertical line testCorrespondingOne-to-oneMapping diagramsFunctionInput/output tablesRelationEvaluateSimplifyRecursive formulaExplicit formulaGeometric sequenceArithmetic sequenceFunction ruleSequence




Domain: Interpreting Functions F-IFCluster: Interpret functions that arise in applications in terms of the contextStandard(s):

9-12.F.IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.Algebra I - linear, exponential, and quadratic9-12.F.IF.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.9-12.F.IF.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.


I can:-Sketch a graph.-Label a graph’s intercepts and intervals.-Interpret where the function is increasing, decreasing, positive, or negative.-Interpret relative maximums and minimums.-Interpret various symmetries, end behaviors, and periodicity.-Identify the domain from a set of ordered pairs, a mapping diagram, or a graph.-Explain whether the domain is appropriate for a specific real world situation and identify

the domain.-Calculate the rate of change given a table of values.-Estimate the rate of change given a graph of a function.-Interpret the meaning of the rate of change in the context of the problem.-Calculate the rate of change using a mapping.

Interceptx-intercepty-interceptrelative maximumrelative minimumintervalsymmetryincreasing intervaldecreasing intervalend-behaviorperiodicityfunctiondomainsloperate of change




Domain: Interpreting Functions F-IFCluster: Analyze functions using different representationsStandard(s):

9-12.F.IF.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. 9-12.F.IF.7a Graph linear and quadratic functions and show intercepts, maxima, and minima. (Algebra I) 9-12.F.IF.7b Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions (Algebra I and Algebra II) 9-12.F.IF.7c- Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. (Algebra II) 9-12.F.IF.7d (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior. (4th course) 9-12.F.IF.7e Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude (Algebra I and Algebra II)

9-12.F.IF.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. 9-12.F.IF.8a- Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context. 9-12.F.IF.8b-Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y=1.02t, y=0.97t, y=1.0112t, y=1.2t/10, and classify them as

representing exponential growth and decay

9-12.F.IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions. For Example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.


I can:-Graph functions.-Identify and describe key features and characteristics of graphs.-Use features of equations and graphs to predict the behavior of a function.

-Use functions to solve problems.-Factor, complete the square or use the quadratic formula to find zeros of quadratic

functions.-Complete the square to write a quadratic function in vertex form to find extreme values

and identify vertical and horizontal shifts, shrinks, and stretches.-Explain the meanings of vertex and zeros in the context of a real-life application.-Interpret the symbolic characteristics of a quadratic function as key elements in its

graphical representation.-Classify exponential functions as growth or decay.-Identify percent rate of change in growth and decay functions.-Identify the slope and x and/or y intercepts of linear equation.-Identify domain and range of different functions.-Describe the characteristics between linear, quadratic, square root, absolute value, and

cubed functions.-Compare properties of two functions represented in different forms.

Quadratic function factoringAbsolute value function rate of changeExponential function completing the squareAmplitude growth modelMidline quadratic formulaAsymtotes axis of symmetryStep function decay modelLinear function vertex form of a quadraticDecreasing x and y interceptsPiecewise function rangeRational functions mappingPeriod domainIncreasing slope-intercept formCube root function coordinate planeEnd behavior quadratic equationTrigonometric functions linear equationsMaxima functionMinima tablesSquare root function propertiesZeros of functionsLogarithmic functions



Domain: Building Functions F-BFCluster: Build a function that models a relationship between two quantitiesStandard(s):

9-12.F.BF.1 Write a function that describes a relationship between two quantities.9-12.F.BF.1 a. Determine an explicit expression, a recursive process, or steps for calculation from a context. (Algebra I)9-12.F.BF.1 b. Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. (Algebra I and II)

9-12.F.BF.1 c. (+) Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time. (Fourth year course)

9-12.F.BF.2 Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.


I can:-Interpret a table to write an appropriate function.-Apply knowledge of linear, quadratic, and exponential functions to write the equation.-Describe why they chose which type of function.-Model a relationship between two functions.-Calculate the common difference in an arithmetic sequence.-Calculate the common ratio in a geometric sequence.-Calculate an indicated term in an arithmetic or geometric sequence.-Write an explicit formula of an arithmetic or geometric sequence that models a situation.-Write a recursive formula of an arithmetic or geometric sequence that models a situation.-Convert an explicit formula to its corresponding recursive formula.-Convert a recursive formula to its corresponding explicit formula, if possible.

Composition of functionsExplicit expressionRecursive processCommon ratioGeometric sequenceExplicit formulaCommon differenceArithmetic sequenceRecursive formula




Domain: Building Functions F-BFCluster: Build new functions from existing functionsStandard(s):

9-12.F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

9-12.F.BF.4 Find inverse functions. b. (+) Verify by composition that one function is the inverse of another. c. (+) Read values of an inverse function from a graph or a table, given that the function has an inverse. d. (+) Produce an invertible function from a non-invertible function by restricting the domain.


I can:-Graph/identify vertical stretch and/or a compression.-Graph/identify a horizontal stretch and/or compression.-Graph/identify vertical and/or horizontal shifts.-Graph/identify vertical and horizontal reflections.-Identify/graph even and odd functions.-Describe and explain the transformation of the parent function.-Analyze and interpret the graphs of functions.-Use composition of functions to verify that two functions are inverses of each other.-Transpose the x and f(x) values in a function to read values of the inverse function.-Reflect a function over the line y=x to produce the graph of its inverse and read values off

of the inverse function.-Decide whether an inverse function exists by determining if the original function is one-to-

one.-Use the horizontal line test to determine whether the inverse of a function is a function.-If the inverse of a function does not exist, restrict the domain so that it does exist.

DomainTransformationsVertical CompressionReflectionVertical TranslationHorizontal TranslationHorizontal CompressionHorizontal StretchVertical Stretchx-axisy-axisParent functionFunctionOdd and Even functionShiftInverseRangeInverse relationInverse functionVertical line testOne-to-one functions




Domain: Linear and Exponential Models F-LECluster: Construct and compare linear, quadratic, and exponential models and solve problemsStandard(s):

9-12.F.LE.1 Distinguish between situations that can be modeled with linear functions and with exponential functions.9-12.F.LE.1a- Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.9-12.F.LE.1b- Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.9-12.F.LE.1c- Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

9-12.F.LE.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).*9-12.F.LE.3 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.*


I can:-Determine whether data is linear or exponential by using a table or graph.-Use graphing calculator regression models to determine whether linear or exponential

models best fit the data.-Determine whether a situation will produce a linear or exponential relationship in word

applications.-Construct linear functions given arithmetic sequences.-Construct exponential functions given geometric sequences.-Develop arithmetic and geometric sequences given multiple representation of data (table,

graph, input-output pairs, or description).-Apply linear and exponential functions to real-world applications.-Compare linear, quadratic, other higher-order polynomial functions, and exponential

graphs.-Compare linear, quadratic, other higher-order polynomial functions, and exponential tables.-Analyze graphical representations of polynomial and exponential functions rate of change.-Apply arithmetic and geometric sequences to real-world applications.

SlopeEquationExponential functionExponential growthLinear functionExponential decayRate-of-changeTableConstantGraphMultiplier/base/factorArithmetic sequenceInput-output pairGeometric sequenceMappingRelationshipQuadratic functionHigher order/Polynomial function




Domain: Linear and Exponential Models F-LECluster: Interpret expressions for functions in terms of the situation they modelStandard(s):9-12.F.LE.5 Interpret the parameters in a linear or exponential function in terms of a context.*


I can:-State and interpret the parameters of linear and exponential functions in terms of the

context of a given situation.-Interpret linear and exponential functions.

FunctionLinear functionsExponential functionParameterExpressionExtraneous solutions




Domain: Statistics and Probability S-IDCluster: Summarize, represent, and interpret data on a single count or measurement variableStandard(s):S.ID.1 Represent data with plots on the real number line (dot plots, histograms, and box plots).*S.ID.2 Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.*S.ID.3 Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).*


I can:-Create dot plots, histograms, and box plots on a real number line.-Compare center and spread of two data sets.-Analyze the shapes of two or more data distributions to choose the appropriate statistical

measurements to compare data sets.-Explain the reasoning for choosing appropriate measurements.-Identify the measures of central tendency.-Identify the measures of spread.-Interpret the meaning of the measures of central tendency in context of the graph.-Describe how the changes of data affect the shape of the data set.-Explain the context of the given set of data.

Interquartile rangeBox and whisker plotOutliersSpreadMedianStandard deviationCenterUpper quartileLower quartileMean(average)ModeUniformVarianceBell shapedSymmetricalLeft skewed/right skewed distributions5-box plot summary outliersCentral tendencyU-shaped




Domain: Statistics and Probability S-IDCluster: Summarize, represent, and interpret data on two categorical and quantitative variablesStandard(s):S.ID.5 Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.*

S.ID.6 Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.S.ID.6a- Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear and exponential models.S.ID.6b- Informally assess the fit of a function by plotting and analyzing residuals.S.ID.6c- Fit a linear function for a scatter plot that suggests a linear association.


I can:-Calculate joint frequency.-Calculate marginal frequency.-Calculate conditional relative frequency.-Interpret data within two-way frequency tables.-Recognize associations and trends in two-way frequency data.-Read, interpret, and plot data using a scatter plot.-Describe how data is related.-Determine if a set of data can be represented by a linear or exponential function.-Find either a linear or exponential function to fit the data.

Joint frequencyMarginal frequencyConditional relative frequencyTwo-way frequency tableScatter plotLinear functionExponential functionLine of best fit




Domain: Statistics and Probability S-IDCluster: Interpret linear modelsStandard(s):S.ID.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.*S.ID.8 Compute (using technology) and interpret the correlation coefficient of a linear fit.*S.ID.9 Distinguish between correlation and causation.*


I can:-Compute slope (change in y over change in x).-Explain specific data points (x,y) of the graph in context of the data.-Interpret the starting point/initial value (y-intercept).-Make predictions based on current data and inferences made from slope.-Compute the correlation coefficient using technology.-Interpret the correlation coefficient in the given context.-Justify your interpretation of the correlation coefficient.-Be able to compare data and conclude what effects, if any, the events had on one another.-Compare the independent variable and the dependent variable to determine if there is a

correlation.

CorrelationSlopeSlope-intercept formStandard formPoint-slope formPositive correlationNegative correlationNo correlationInterceptsLinear modelInitial valueData pointCorrelation coefficientLine of best fit (regression line)InterpolateExtrapolateLinear dataDependent variableCausationScatterplotEventLine of best fitOutcomeIndependent variable



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