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Chapter #1Sections #1.1 – 1.10

Start Date – 8/18/2014End Date – 9/18/2014

Section Number and Topic Standards Learning TargetInstructional Time Frame

Additional Resources

1.1 Variables and Expressions ContentMAFS.912.A.SSE.1MAFS.912.N.Q.1

PracticeMAFS.912.K12.MP.1.1MAFS.912.K12.MP.3.1MAFS.912.K12.MP.7.1

Interpret expressions that represent a quantity in terms of its context.

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.

1 day Using Algebraic Expressions

1.2 Solving Equations by Adding or Subtracting

ContentMAFS.912.A.REI.1MAFS.912.A.REI.3MAFS.912.A.CED.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.

Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Create equations and inequalities in one variable and use them to solve problems.

1 day Solving Formulas for any Variable

1.3 Solving Equations by Multiplying or Dividing






1 day Solving Formulas for any Variable

1.4 Solving Two-Step and Multi-Step Equations






2 days Solving Two-Step Equations

NOTE: (+) Standards that students should learn in order to take advanced math courses. * Standards that are modeled.

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Section Number and Topic Standards Learning Target Instructional Time Frame


1.5 Solving Equations with Variables on Both Sides


PracticeMAFS.912.K12.MP.1.1MAFS.912.K12.MP.2.1MAFS.912.K12.MP.3.1MAFS.912.K12.MP.4.1




2 days

1.6 Solving for a Variable ContentMAFS.912.A.CED.4MAFS.912.A.REI.3MAFS.912.N.Q.1


Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.*



2 days Solving Formulas for any Variable

1.7 Solving Absolute-Value Equations ContentMAFS.912.A.REI.3MAFS.912.A.CED.1




2 days Absolute Value Equations and Inequalities

1.8 Rates, Ratios, and Proportions ContentMAFS.912.N.Q.1MAFS.912.CED.1MAFS.912.A.REI.3

PracticeMAFS.912.K12.MP.1.1MAFS.912.K12.MP.3.1




1.5 days Distance-Time (metric)

Unit Conversions




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1.9 Applications of Proportions ContentMAFS.912.N.Q.1MAFS.912.A.CED.1MAFS.912.A.REI.3





1.5 days Estimating Population Size

Unit Conversions

1.10Precision and Accuracy ContentMAFS.912.N.Q.3MAFS.912.N.Q.2


Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

Define appropriate quantities for the purpose of descriptive modeling.

2 days

Review and Assessment ContentMAFS.912.A.SSE.1MAFS.912.N.Q.1MAFS.912.A.REI.1MAFS.912.A.REI.3MAFS.912.A.CED.1MAFS.912.A.CED.4MAFS.912.A.CED.1MAFS.912.N.Q.3MAFS.912.N.Q.2

PracticeMAFS.912.K12.MP.1.1MAFS.912.K12.MP.3.1MAFS.912.K12.MP.4.1MAFS.912.K12.MP.6.1MAFS.912.K12.MP.7.1MAFS.912.K12.MP.8.1

Chapter 1 Test 2 days











2.1 Graphing and Writing Inequalities ContentMAFS.912.A.REI.3



1 day

2.2 Solving Inequalities by Adding or Subtracting

ContentMAFS.912.A.REI.3

PracticeMAFS.912.K12.MP.1.1MAFS.912.K12.MP.2.1MAFS.912.K12.MP.3.1MAFS.912.K12.MP.4.1MAFS.912.K12.MP.7.1


0.5 day Solving Linear Inequalities in One Variable

2.3 Solving Inequalities by Multiplying or Dividing

ContentMAFS.912.A.REI.3MAFS.912.A.CED.1



Create equations and inequalities in one variable and use them to solve problems.*

0.5 day Solving Linear Inequalities in One Variable

2.4 Solving Two-Step and Multi-Step Inequalities





1 day












2.5 Solving Inequalities with Variables on Both Sides





1 day

2.6 Solving Compound Inequalities ContentMAFS.912.A.REI.3



2 days Compound Inequalities

2.7 Solving Absolute-Value inequalities ContentMAFS.912.A.REI.3MAFS.912.A.CED.1




2 days Absolute Value E+quations and Inequalities

Review and Assessment ContentMAFS.912.A.REI.3MAFS.912.A.CED.1













3.1 Graphing Relationships ContentMAFS.912.F.IF.4MAFS.912.N.Q.2


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.*

Define appropriate quantities for the purpose of descriptive modeling.*

1 day Distance-Time Graphs

3.2 Relations and Functions ContentMAFS.912.F.IF.1MAFS.912.F.IF.5


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).

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

1 day Introduction to FunctionsPoints, Lines, and EquationsFunction Machines 3 (Functions and Problem Solving)

3.3 Writing Functions ContentMAFS.912.F.IF.2MAFS.912.F.IF.1MAFS.912.F.IF.5MAFS.912.A.CED.3MAFS.912.F.BF.1MAFS.912.F.LE.2


Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

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).


Represent constraints by equations or inequalities and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.*

Write a function that describes a relationship between two quantities.*a. Determine an explicit expression, a recursive process, or steps for calculation from a context.b. Combine standard function types using arithmetic operations.c. (+) Compose functions.

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 form a table).*

1 day Radical FunctionsGeneral Form of a Rational FunctionIntroduction to FunctionsRadical FunctionsRational FunctionsArithmetic SequencesGeometric SequencesGolf Range

Simple and Compound Interest

3.4 Graphing Functions ContentMAFS.912.F.IF.5MAFS.912.F.IF.1MAFS.912.F.IF.7MAFS.912.A.REI.10



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).

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*a. Graph linear and quadratic functions and show

intercepts, maxima, and minima.b. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.c. Graph polynomials functions, identifying zeros when suitable factorizations are available, and showing end behavior.d. (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available,

1 day Circles

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity B

Points, Lines, and Equations












































and showing end behavior.e. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric

functions, showing period, midline, and amplitude.

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).



Section Number and Topic Standards Learning TargetInstructional Time Frame


3.5 Scatter Plots and Trend Lines ContentMAFS.912.S.ID.6MAFS.912.NQ.1


Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. *a. 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.b. Informally assess the fit of a function by plotting and analyzing residuals.c. Fit a linear function for a scatter plot that suggests a

linear association.

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.*

2 days Lines of Best Fit Using Least Squares - Activity B

Solving Using Trend Lines

Trends in Scatter Plots

3.6 Arithmetic Sequences ContentMAFS.912.F.IF.3MAFS.912.F.BF.2MAFS.912.F.LE.2


Recognize that sequences are functions, some-times defined recursively, whose domain is a subset of the integers.

Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.*


1 day Arithmetic Sequences

Arithmetic and Geometric Sequences

Review and Assessment ContentMAFS.912.F.IF.4MAFS.912.N.Q.2MAFS.912.F.IF.1MAFS.912.F.IF.5MAFS.912.F.IF.2MAFS.912.F.IF.5MAFS.912.A.CED.3MAFS.912.F.BF.1MAFS.912.F.LE.2MAFS.912.F.IF.7MAFS.912.A.REI.10MAFS.912.S.ID.6MAFS.912.NQ.1MAFS.912.F.IF.3MAFS.912.F.BF.2



Performance Task 1 day



















4.1 Identifying Linear Functions

ContentMAFS.912.A.REI.10MAFS.912.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. a. Graph linear and quadratic functions and show intercepts, maxima, and minima.

1 day Circles

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity BPoints, Lines, and Equations

4.2 Using Intercepts ContentMAFS.912.F.IF.7MAFS.912.A.CED.2MAFS.912.A.CED.3MAFS.912.F.IF.2MAFS.912.F.IF.4MAFS.912.F.IF.5



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

1 dayPoint-Slope Form of a Line - Activity ASlope-Intercept Form of a Line - Activity B

Polynomials and Linear Factors

Quadratics in Factored Form

4.3 Rate of Change and Slope ContentMAFS.912.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.

1.5 days Distance-Time GraphsDistance-Time and Velocity-Time Graphs

4.4 The Slope Formula ContentMAFS.912.F.IF.6



1.5 days Point-Slope Form of a Line - Activity ASlope-Intercept Form of a Line - Activity B

Distance-Time GraphsDistance-Time and Velocity-Time Graphs
























Chapter #4Section #4.1 – 4.10




4.5 Direct Variation ContentMAFS.912.A.CED.2MAFS.912.F.LE.1



Distinguish between situations that can be modeled with linear functions and with exponential functions. b. Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

1 day Direct and Inverse Variation

4.6 Slope-Intercept Form ContentMAFS.912.A.CED.2MAFS.912.A.CED.3MAFS.912.F.IF.7MAFS.912.F.IF.6MAFS.912.F.BF.1MAFS.912.F.LE.2



Represent constraints by equations or inequalities, or inequalities, and by systems of equations and/or inequalities and interpret solutions as viable or nonviable options in a modeling context.*

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. a. Graph linear and quadratic functions and show intercepts, maxima, and minima.b. Graph square root, cube root, and peicewise-defined functions, including step functions and absolute value functions.c. Graph polynomials functions, indentifying zerso when suitable factorizations are available, and showing end behavior.d. (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.e. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.




2 days Slope-Intercept Form of a Line - Activity B

4.7 Point-Slope Form ContentMAFS.912.A.CED.2MAFS.912.A.CED.3MAFS.912.F.IF.7MAFS.912.F.BF.1MAFS.912.F.LE.2



Represent constraints by equations or inequalities, or inequalities, and by systems of equations and/or inequalities and interpret solutions as viable or nonviable options in a modeling context.*

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. a. Graph linear and quadratic functions and show intercepts, maxima, and minima.b. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.c. Graph polynomials functions, identifying zeros when suitable factorizations are available, and showing end behavior.d. (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available,

1 day Point-Slope Form of a Line - Activity A











and showing end behavior.e. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric




4.8 Line of Best Fit ContentMAFS.912.S.ID.6MAFS.912.S.ID.7MAFS.912.S.ID.8MAFS.912.S.ID.9


Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. *a. 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.b. Informally assess the fit of a function by plotting and analyzing residuals. c. Fit a linear function for a scatter plot that suggests a

linear association.

Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.*

Compute (using technology) and interpret the correlation coefficient of a linear fit.*

Distinguish between correlation and causation. *

2 days CorrelationTrends in Scatter PlotsSolving Using Trend Lines

Lines of Best Fit Using Least Squares - Activity B
















4.9 Slopes of Parallel and Perpendicular Lines

ContentMAFS.912.G.GPE.5MAFS.912.F.IF.7


Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of line parallel or perpendicular to a given line that passes through a given point).

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. a. Graph linear and quadratic functions and show intercepts, maxima, and minima.b. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.c. Graph polynomials functions, identifying zeros when suitable factorizations are available, and showing end behavior.d. (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.e. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric


2 days General Form of a Rational FunctionPolynomials and Linear FactorsRational Functions

4.10 Transforming Linear Functions Content MAFS.912.F.BF.3


Identify the effect on the graph of replacing f(x) by f(x) + k, kf(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.

2 days Translating and Scaling FunctionsReflections of a Quadratic Function

Review and Assessment ContentMAFS.912.A.REI.10MAFS.912.F.IF.7MAFS.912.A.CED.2MAFS.912.A.CED.3MAFS.912.F.IF.2MAFS.912.F.IF.4MAFS.912.F.IF.5MAFS.912.F.IF.6MAFS.912.F.LE.1MAFS.912.F.IF.7MAFS.912.F.BF.1MAFS.912.F.LE.2MAFS.912.S.ID.6MAFS.912.S.ID.7MAFS.912.S.ID.8MAFS.912.S.ID.9MAFS.912.G.GPE.5MAFS.912.F.BF.3



Performance Task 2 days




















5.1 Solving Systems by Graphing ContentMAFS.912.A.REI.6MAFS.912.A.REI.11MAFS.912.A.CED.2


Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

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.


2 days Modeling Linear Systems - Activity B

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Matrices and Special Solutions)

5.2 Solving Systems by Substitution ContentMAFS.912.A.REI.6MAFS.912.A.CED.3



2 days

5.3 Solving Systems by Elimination ContentMAFS.912.A.REI.5MAFS.912.A.REI.6MAFS.912.A.CED.3


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.


Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.

2 days

5.4 Solving Special Systems ContentMAFS.912.A.REI.6MAFS.912.A.CED.2MAFS.912.A.CED.3





1 day















5.5 Solving Linear Inequalities ContentMAFS.912.A.REI.12MAFS.912.A.CED.3


Graph the solutions to a linear inequality in two variables as a halfplane (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.


1.5 days Linear Inequalities in Two Variables - Activity A

5.6 Solving Systems of Linear Inequalities



Graph the solutions to a linear inequality in two variables as a halfplane (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.


1.5 days Systems of Linear Inequalities (Slope-intercept form) - Activity A

Review and Assessment ContentMAFS.912.A.REI.6MAFS.912.A.REI.11MAFS.912.A.CED.2MAFS.912.A.REI.6MAFS.912.A.CED.3MAFS.912.A.REI.5MAFS.912.A.REI.6MAFS.912.A.CED.3MAFS.912.A.REI.12




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6.1 Integer Exponents ContentMAFS.912.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.

1.5 days Exponents and Power Rules

6.2 Rational Exponents ContentMAFS.912.N.RN.1MAFS.912.N.RN.2


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.

Rewrite expressions involving radicals and rational exponents using the properties of exponents.

1.5 days Simplifying Radical Expressions - Activity A

6.3 Polynomials ContentMAFS.912.A.SSE.1


Interpret expressions that represent a quantity in terms of its context. a. Interpret parts of an expression, such as terms, factors, and coefficients.

1 day

6.4 Adding and Subtracting Polynomials ContentMAFS.912.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.

1.5 days Addition of Polynomials - Activity B (goes with Alg Lab: Modeling Addition)















6.5 Multiplying Polynomials ContentMAFS.912.A.APR.1



2 days

6.6 Special Products of Binomials ContentMAFS.912.A.APR.1



1 day Factoring Special Products

Review and Assessment ContentMAFS.912.N.RN.1MAFS.912.N.RN.2MAFS.912.A.SSE.1MAFS.912.A.APR.1











7.1 Factors and Greatest Common Factors

Content


1 day

7.2 Factoring by GCF ContentMAFS.912.A.SSE.2


Use the structure of an expression to identify ways to rewrite it.

1 day

7.3 Factoring x ² + bx + c ContentMAFS.912.A.SSE.2



1.5 days Modeling the Factorization of x2+bx+c

7.4 Factoring ax ² + bx + c ContentMAFS.912.A.SSE.2



1.5 days Modeling the Factorization of ax2+bx+c












7.5 Factoring Special Products ContentMAFS.912.A.SSE.2



1 day Factoring Special Products

7.6 Choosing a Factoring Method ContentMAFS.912.A.SSE.2



1 day

Review and Assessment ContentMAFS.912.A.SSE.2

PracticeMAFS.912.K12.MP.1.1MAFS.912.K12.MP.2.1MAFS.912.K12.MP.3.1MAFS.912.K12.MP.4.1MAFS.912.K12.MP.6.1MAFS.912.K12.MP.7.1MAFS.912.K12.MP.8.1


Content

Practice









8.1 Identifying Quadratic Functions ContentMAFS.912.F.IF.7MAFS.912.A.REI.10




1 day Quadratics in Polynomial Form

8.2 Characteristics of Quadratic Functions

ContentMAFS.912.F.IF.7MAFS.912.F.IF.8MAFS.912.F.IF.4



Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

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.*

1.5 days

Roots of a Quadratic

8.3 Graphing Quadratic Functions ContentMAFS.912.F.IF.7MAFS.912.F.IF.4MAFS.912.F.IF.8



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.*

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

1.5 days Quadratics in Factored Form

Quadratics in Vertex Form - Activity A

Roots of a Quadratic

8.4 Transforming Quadratic Functions ContentMAFS.912.F.BF.3MAFS.912.F.IF.7*MAFS.912.F.IF.5*


Identify the effect on the graph of replacing f(x) by f(x) + k, kf(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.


Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describe.*

1 day Translating and Scaling Functions






















8.5 Solving Quadratic Equations by Graphing

ContentMAFS.912.A.REI.11MAFS.912.A.REI.4


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.*

Solve quadratic equations in one variable.

1 day

8.6 Solving Quadratic Equations by Factoring

ContentMAFS.912.A.REI.4MAFS.912.A.SSE.3


Solve quadratic equations in one variable. b. Solve quadratic equations by inspection (e.g., for x2 = 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.

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. a. Factor a quadratic expression to reveal the zeros of the function it defines.

1 day

8.7 Solving Quadratic Equations by Using Square Roots

ContentMAFS.912.A.REI.4MAFS.912.A.CED.3MAFS.912.A.CED.1MAFS.912.F.BF.1






1 day Roots of a Quadratic

8.8 Completing the Square ContentMAFS.912.A.REI.4MAFS.912.A.CED.1




1 day








8.9 The Quadratic Formula and the Discriminant

ContentMAFS.912.A.REI.4MAFS.912.A.REI.1




2 days

8.10 Nonlinear Systems ContentMAFS.912.A.REI.7


Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.

1 day System of Two Quadratic Inequalities

(use the equation and linear choices)

Review and Assessment ContentMAFS.912.F.IF.7MAFS.912.A.REI.10MAFS.912.F.IF.8MAFS.912.F.IF.4MAFS.912.F.BF.3MAFS.912.F.IF.5MAFS.912.A.REI.11MAFS.912.A.REI.4MAFS.912.A.SSE.3MAFS.912.A.CED.3MAFS.912.A.CED.1MAFS.912.F.BF.1MAFS.912.A.REI.1MAFS.912.A.REI.7












9.1 Geometric Sequences ContentMAFS.912.F.IF.3MAFS.912.F.LE.2MAFS.912.F.BF.2


Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

Distinguish between situations that can be modeled with linear functions and with exponential functions. c. Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.*

1 day Geometric Sequences

Arithmetic and Geometric Sequences

9.2 Exponential Functions ContentMAFS.912.F.IF.7MAFS.912.F.LE.1


Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. e. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.


1 day Introduction to Exponential Functions

Exponential Functions – Activity B

Exponential Functions – Activity C

9.3 Exponential Growth and Decay ContentMAFS.912.F.LE.2MAFS.912.F.LE.5MAFS.912.F.LE.1


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).

Interpret the parameters in a linear or exponential function in terms of a context.


2 daysExponential Growth and Decay – Activity A

9.4 Linear, Quadratic, and Exponential Models

ContentMAFS.912.F.LE.1MAFS.912.F.LE.2MAFS.912.A.CED.2


Distinguish between situations that can be modeled with linear functions and with exponential functions.

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).


1 day























9.5 Comparing Functions ContentMAFS.912.F.IF.9MAFS.912.F.IF.6MAFS.912.F.LE.3


Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).


Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

1 day Translating and Scaling Functions

Review and Assessment ContentMAFS.912.F.IF.3MAFS.912.F.LE.2MAFS.912.F.BF.2MAFS.912.F.IF.7MAFS.912.F.LE.1MAFS.912.F.LE.5MAFS.912.A.CED.2MAFS.912.F.IF.9MAFS.912.F.IF.6MAFS.912.F.LE.3











10.1 Organizing and Displaying Data ContentMAFS.912.S.ID.1


Represent data with plots on the real number line (dot plots, histograms, and box plots).

1 day Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Trends in Scatter Plots

10.2 Frequency and Histograms ContentMAFS.912.S.ID.1



1 dayHistograms

Populations and Samples

10.3 Data Distributions ContentMAFS.912.S.ID.2MAFS.912.S.ID.3MAFS.912.S.ID.1


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.

Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).


2 days Box-and-Whisker Plots

Mean, Median and Mode

Populations and Samples

Real-Time Histogram

10.4 Misleading Graphs and Statistics ContentMAFS.912.S.IC.6


Evaluate reports based on data. 1 day






























10.5 Experimental Probability ContentMAFS.912.S.CP.1


Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).

1.5 days Probability Simulations

Theoretical and Experimental Probability

10.6 Theoretical Probability ContentMAFS.912.S.CP.1


Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).

1.5 days Probability Simulations

Theoretical and Experimental Probability

10.7 Independent and Dependent Events

ContentMAFS.912.S.CP.2MAFS.912.S.CP.6


Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model.

2 days Independent and Dependent Events

Review and Assessment ContentMAFS.912.S.ID.1MAFS.912.S.ID.2MAFS.912.S.ID.3MAFS.912.S.IC.6MAFS.912.S.CP.1MAFS.912.S.CP.2MAFS.912.S.CP.6

PracticeMAFS.912.K12.MP.1.1MAFS.912.K12.MP.2.1MAFS.912.K12.MP.3.1MAFS.912.K12.MP.4.1MAFS.912.K12.MP.5.1MAFS.912.K12.MP.6.1MAFS.912.K12.MP.7.1

















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ExploreLearning PD Blog · Web viewGraph linear and quadratic functions and show intercepts,...

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