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Math / G9 / M1 / TA / lesson 1

Graphs of Piecewise Linear Functions

1 hour
Students choose/interpret the scale, the origin for the graph and graph the piecewise linear function.
Math / G9 / M1 / TA / lesson 2

Graphs of Quadratic Functions

1 hour
Students represent graphically a nonlinear relationship between two quantities and interpret features of the graph.
Math / G9 / M1 / TA / lesson 3

Graphs of Exponential Functions

1 hour
Students choose and interpret the scale on a graph to appropriately represent an exponential function.
Math / G9 / M1 / TA / lesson 4

Analyzing Graphs—Water Usage During a Typical Day at School

1 hour
Students refine their skills in interpreting the meaning of features appearing in graphs.
Math / G9 / M1 / TA / lesson 5

Two Graphing Stories

1 hour
Students interpret the meaning of the point of intersection of two graphs.
Math / G9 / M1 / TB / lesson 6

Algebraic Expressions-The Distributive Property

1 hour
Students use the structure of an expression to identify ways to rewrite/use distributive property.
Math / G9 / M1 / TB / lesson 7

Algebraic Expressions-The Commutative and Associative Properties

1 hour
Commutative/Associative properties are used to recognize structure within expressions and prove equivalency of expressions.
Math / G9 / M1 / TB / lesson 8

Adding and Subtracting Polynomials

1 hour
Students understand that the sum or difference of two polynomials produces another polynomial.
Math / G9 / M1 / TB / lesson 9

Multiplying Polynomials

1 hour
Students understand that the product of two polynomials produces another polynomial; students multiply polynomials.
Math / G9 / M1 / TC / lesson 10

True and False Equations

1 hour
Students find values to assign to variables in equations that make the equations true statements.
Math / G9 / M1 / TC / lesson 11

Solutions Sets for Equations and Inequalities

1 hour
Students understand the commutative, associate, and distributive properties as identities.
Math / G9 / M1 / TC / lesson 12

Solving Equations

1 hour
Students are introduced to the formal process of solving an equation.
Math / G9 / M1 / TC / lesson 13

Some Potential Dangers When Solving Equations

1 hour
Students learn if-then moves using properties of equality to solve equations.
Math / G9 / M1 / TC / lesson 14

Solving Inequalities

1 hour
Learning if-then moves using addition/multiplication properties of inequality to solve inequalities and graph solution.
Math / G9 / M1 / TC / lesson 15

Solution Sets of Two or More Equations

1 hour
Students describe the solution set of two equations (or inequalities) joined by “and” or “or”
Math / G9 / M1 / TC / lesson 16

Solving and Graphing Inequalities Joined by "And" or "Or"

1 hour
Students solve two inequalities joined by “and” or “or” then graph solution on number line.
Math / G9 / M1 / TC / lesson 17

Equations Involving Factored Expressions

1 hour
Students solve factored or easily factorable equations.
Math / G9 / M1 / TC / lesson 18

Equations Involving a Variable Expression in the Denominator

1 hour
Students interpret equations.
Math / G9 / M1 / TC / lesson 19

Rearranging Formulas

1 hour
Students learn to think of some of the letters in formulas as constants.
Math / G9 / M1 / TC / lesson 20

Solution Sets to Equations with Two Variables

1 hour
Students identify solutions to two-variable equations and represent graphically.
Math / G9 / M1 / TC / lesson 21

Solution Sets to Inequalities with Two Variables

1 hour
Students interpret inequality symbols to determine which portion of the coordinate plane is shaded.
Math / G9 / M1 / TC / lesson 22

Solution Sets to Simultaneous Equations

1 hour
Students solve systems of linear equations/inequalities either algebraically or graphically.
Math / G9 / M1 / TC / lesson 23

Solution Sets to Simultaneous Equations (Continued)

1 hour
Students create systems of equations that have the same solution set as a given system.
Math / G9 / M1 / TC / lesson 24

Applications of Systems of Equations and Inequalities

1 hour
Students use systems of equations/inequalities to solve contextual problems.
Math / G9 / M1 / TD / lesson 25

Solving Problems in Two Ways-Rates and Algebra

1 hour
Students compare the numerical approach to the algebraic approach.
Math / G9 / M1 / TD / lesson 26

Recursive Challenge Problem-The Double and Add 5 Game

1 hour
Students learn the meaning and notation of recursive sequences in a modeling setting.
Math / G9 / M1 / TD / lesson 27

Recursive Challenge Problem-The Double and Add 5 Game (Continued)

1 hour
Students create equations and inequalities to solve a modeling problem.
Math / G9 / M1 / TD / lesson 28

Federal Income Tax

1 hour
Students create equations and inequalities in one variable and use them to solve problems.
Math / G9 / M2 / TA / lesson 1

Distributions and Their Shapes

1 hour
Students recognize that a first step in interpreting data is making sense of the context.
Math / G9 / M2 / TA / lesson 2

Describing the Center of a Distribution

1 hour
Students calculate the mean of a data set and the median of a data set.
Math / G9 / M2 / TA / lesson 3

Estimating Centers and Interpreting the Mean as a Balance Point

1 hour
Students estimate the mean and median of a distribution on a dot plot or a histogram.
Math / G9 / M2 / TB / lesson 4

Summarizing Deviations from the Mean

1 hour
Students interpret deviations.
Math / G9 / M2 / TB / lesson 5

Measuring Variability for Symmetrical Distributions

1 hour
Students calculate the standard deviation for a set of data.
Math / G9 / M2 / TB / lesson 6

Interpreting the Standard Deviation

1 hour
Students compare the relative variability of distributions using standard deviations.
Math / G9 / M2 / TB / lesson 7

Measuring Variability for Skewed Distributions (Interquartile Range)

1 hour
Students identify outliers in a data distribution.
Math / G9 / M2 / TB / lesson 8

Comparing Distributions

1 hour
Students compare two or more distributions.
Math / G9 / M2 / TC / lesson 9

Summarizing Bivariate Categorical Data

1 hour
Students distinguish between categorical data and numerical data
Math / G9 / M2 / TC / lesson 10

Summarizing Bivariate Categorical Data with Relative Frequencies

1 hour
Students construct a relative frequency table and interpret relative frequencies.
Math / G9 / M2 / TC / lesson 11

Conditional Relative Frequencies and Association

1 hour
Students calculate and interpret conditional relative frequencies from two-way frequency tables.
Math / G9 / M2 / TD / lesson 12

Relationships Between Two Numerical Variables

1 hour
Students distinguish between various scatter plots.
Math / G9 / M2 / TD / lesson 13

Relationships Between Two Numerical Variables (Continued)

1 hour
Students use an equation given as a model for a nonlinear relationship to answer questions.
Math / G9 / M2 / TD / lesson 14

Modeling Relationships with a Line

1 hour
Students use technology to determine the least squares regression line from given set of data.
Math / G9 / M2 / TD / lesson 15

Interpreting Residuals from a Line

1 hour
Students predict values for a given data set.
Math / G9 / M2 / TD / lesson 16

More on Modeling Relationships with a Line

1 hour
Students use the least squares line to predict values for a given data set.
Math / G9 / M2 / TD / lesson 17

Analyzing Residuals

1 hour
Students construct the residual plot for a given data set.
Math / G9 / M2 / TD / lesson 18

Analyzing Residuals (Continued)

1 hour
Students use a graphing calculator to construct the residual plot for a given data set.
Math / G9 / M2 / TD / lesson 19

Interpreting Correlation

1 hour
Students use technology to determine the value of the correlation coefficient for given data set.
Math / G9 / M2 / TD / lesson 20

Analyzing Data Collected on Two Variables

1 hour
Students use data to develop a poster that involves the focus standards.
Math / G9 / M3 / TA / lesson 1

Integer Sequences-Should You Believe in Patterns

1 hour
Students examine sequences and are introduced to the notation used to describe them.
Math / G9 / M3 / TA / lesson 2

Recursive Formulas for Sequences

1 hour
Students write recursive and explicit formulas for sequences.
Math / G9 / M3 / TA / lesson 3

Arithmetic and Geometric Sequences

1 hour
Students learn the structure of arithmetic and geometric sequences.
Math / G9 / M3 / TA / lesson 4

Why Do Banks Pay YOU to Provide Their Services?

1 hour
Students compare the rate of change for simple and compound interest.
Math / G9 / M3 / TA / lesson 5

The Power of Exponential Growth

1 hour
Students are able to model with and solve problems involving exponential formulas.
Math / G9 / M3 / TA / lesson 6

Exponential Growth-U.S. Population and World Population

1 hour
Students compare linear and exponential models of population growth.
Math / G9 / M3 / TA / lesson 7

Exponential Decay

1 hour
Students describe and analyze exponential decay models.
Math / G9 / M3 / TB / lesson 8

Why Stay with Whole Numbers?

1 hour
Students use function notation, evaluate functions for inputs in their domains, and interpret statements.
Math / G9 / M3 / TB / lesson 9

Representing, Naming, and Evaluating Functions

1 hour
Students evaluate functions for inputs in their domains; interpret statements that use function notation.
Math / G9 / M3 / TB / lesson 10

Representing, Naming, and Evaluating Functions (Continued)

1 hour
Students use function notation, evaluate functions for inputs in their domains, and interpret statements
Math / G9 / M3 / TB / lesson 11

The Graph of a Function

1 hour
Students understand set builder notation for the graph of a real-valued function.
Math / G9 / M3 / TB / lesson 12

The Graph of the Equation 𝑦 = 𝑓(𝑥)

1 hour
Students understand the meaning of the graph of functions.
Math / G9 / M3 / TB / lesson 13

Interpreting the Graph of a Function

1 hour
Students create tables and graphs of functions and interpret key features.
Math / G9 / M3 / TB / lesson 14

Linear and Exponential Models-Comparing Growth Rates

1 hour
Students compare linear/exponential models.
Math / G9 / M3 / TC / lesson 15

Piecewise Functions

1 hour
Students examine the features of piecewise functions.
Math / G9 / M3 / TC / lesson 16

Graphs Can Solve Equations Too

1 hour
Students discover that equations can be solved algebraically or visually.
Math / G9 / M3 / TC / lesson 17

Four Interesting Transformations of Functions (Part 1)

1 hour
Students examine how vertical translations correspond to changes in the equation.
Math / G9 / M3 / TC / lesson 18

Four Interesting Transformations of Functions (Part 2)

1 hour
Students examine how horizontal translations correspond to changes in the equation.
Math / G9 / M3 / TC / lesson 19

Four Interesting Transformations of Functions (Part 3)

1 hour
Students examine horizontal scaling.
Math / G9 / M3 / TC / lesson 20

Four Interesting Transformations of Functions (Part 4)

1 hour
Students apply understanding of transformations of functions and graphs to piecewise functions.
Math / G9 / M3 / TD / lesson 21

Comparing Linear and Exponential Models Again

1 hour
Students create models and understand the differences between linear and exponential models.
Math / G9 / M3 / TD / lesson 22

Modeling an Invasive Species Population

1 hour
Students use modeling to solve real-world function problems.
Math / G9 / M3 / TD / lesson 23

Newton's Law of Cooling

1 hour
Students apply transformations through modeling.
Math / G9 / M3 / TD / lesson 24

Piecewise and Step Functions in Context

1 hour
Students create piecewise and step functions that relate to real-life situations.
Math / G9 / M4 / TA / lesson 1

Multiplying and Factoring Polynomial Expressions

1 hour
Students use polynomial expressions as side lengths of polygons and find area by multiplying.
Math / G9 / M4 / TA / lesson 2

Multiplying and Factoring Polynomial Expressions (Continued)

1 hour
Students understand that factoring reverses the multiplication process.
Math / G9 / M4 / TA / lesson 3

Advanced Factoring Strategies for Quadratic Expressions

1 hour
Students develop strategies for factoring quadratic.
Math / G9 / M4 / TA / lesson 4

Advanced Factoring Strategies for Quadratic Expressions (Continued)

1 hour
Students develop additional strategies for factorization of quadratics.
Math / G9 / M4 / TA / lesson 5

The Zero Product Property

1 hour
Students solve complex one-variable equations which may need algebraic manipulation, including factoring.
Math / G9 / M4 / TA / lesson 6

Solving Basic One-Variable Quadratic Equations

1 hour
Students use appropriate and efficient strategies to find solutions to basic quadratic equations.
Math / G9 / M4 / TA / lesson 7

Creating and Solving Quadratic Equations in One Variable

1 hour
Students interpret word problems to create equations in one variable and solve them.
Math / G9 / M4 / TA / lesson 8

Exploring the Symmetry in Graphs of Quadratic Functions

1 hour
Students explore key features of graphs of quadratic functions.
Math / G9 / M4 / TA / lesson 9

Graphing Quadratic Functions from Factored Form, f(x)=a(x-m)(x-n)

1 hour
Students use the factored form of a quadratic equation to construct a rough graph.
Math / G9 / M4 / TA / lesson 10

Interpreting Quadratic Functions from Graphs and Tables

1 hour
Students interpret quadratic functions from graphs and tables.
Math / G9 / M4 / TB / lesson 11

Completing the Square

1 hour
Students rewrite quadratic expressions given in standard form.
Math / G9 / M4 / TB / lesson 12

Completing the Square (Continued)

1 hour
Students recognize cases for which factored or completed-square form is most efficient to use.
Math / G9 / M4 / TB / lesson 13

Solving Quadratic Equations by Completing the Square

1 hour
Students solve quadratic equations, including those with a coefficient other than 1.
Math / G9 / M4 / TB / lesson 14

Deriving the Quadratic Formula

1 hour
Students complete the square for a general quadratic equation.
Math / G9 / M4 / TB / lesson 15

Using the Quadratic Formula

1 hour
Students solve quadratic equations that cannot be easily factored.
Math / G9 / M4 / TB / lesson 16

Graphing Quadratic Equations from the Vertex Form, 𝑦 = 𝑎(𝑥−h)^2+𝑘

1 hour
Students graph simple quadratic equations of the completed-square or vertex form.
Math / G9 / M4 / TB / lesson 17

Graphing Quadratic Functions from the Standard Form, f(x)=ax^2+bx+c

1 hour
Students graph a variety of quadratic functions using standard form.
Math / G9 / M4 / TC / lesson 18

Graphing Cubic, Square Root, and Cube Root Functions

1 hour
Students compare the basic quadratic (parent) function to the square root function.
Math / G9 / M4 / TC / lesson 19

Translating Graphs of Functions

1 hour
Students recognize and use parent functions.
Math / G9 / M4 / TC / lesson 20

Stretching and Shrinking Graphs of Functions

1 hour
Students use parent functions for absolute value, quadratic, square root, and cube root.
Math / G9 / M4 / TC / lesson 21

Transformations of the Quadratic Parent Function, f(x)=x^2

1 hour
Students make a connection between the symbolic forms of quadratic equations and the vertex form.
Math / G9 / M4 / TC / lesson 22

Comparing Quadratic, Square, and Cube Root Functions Represented Differently

1 hour
Students complete a comparative analysis of quadratic functions.
Math / G9 / M4 / TC / lesson 23

Modeling with Quadratic Functions

1 hour
Students write the quadratic function described verbally in a given context.
Math / G9 / M4 / TC / lesson 24

Modeling with Quadratic Functions (Continued)

1 hour
Students create a quadratic function from a data set based on a contextual situation.
Math / G9 / M5 / TA / lesson 1

Analyzing a Graph

1 hour
Students recognize the function type, interpret key features of the graph, and create an equation.
Math / G9 / M5 / TA / lesson 2

Analyzing a Data Set

1 hour
Students recognize linear, quadratic, and exponential functions when presented as a data set or sequence.
Math / G9 / M5 / TA / lesson 3

Analyzing a Verbal Description

1 hour
Students make sense of a contextual situation.
Math / G9 / M5 / TB / lesson 4

Modeling a Context from a Graph

1 hour
Students create a two-variable equation that models the graph from a context.