MA.912.NSO: Number Sense and Operations

MA.912.NSO.1.2: Generate equivalent monomial algebraic expressions using the properties of exponents.

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

MA.912.NSO.1.4: Apply previous understanding of operations with rational numbers to add, subtract, multiply and divide numerical radicals.

Operations with Radical Expressions
Simplifying Radical Expressions

MA.912.AR: Algebraic Reasoning

MA.912.AR.1.1: Identify and interpret parts of an expression that represent a quantity in terms of a mathematical or real-world context, including viewing one or more of its parts as a single entity.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Binomial Probabilities
Compound Interest
Geometric Sequences
Permutations and Combinations

MA.912.AR.1.2: Rearrange equations or formulas to isolate a quantity of interest.

Solving Formulas for any Variable

MA.912.AR.1.3: Add, subtract and multiply polynomial expressions with rational number coefficients.

Addition and Subtraction of Functions
Addition of Polynomials
Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c

MA.912.AR.1.7: Rewrite a polynomial expression as a product of polynomials.

Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c

MA.912.AR.2.1: Given a real-world context, write and solve one-variable multi-step linear equations.

Modeling and Solving Two-Step Equations
Solving Equations by Graphing Each Side
Solving Equations on the Number Line
Solving Two-Step Equations

MA.912.AR.2.2: Write a linear two-variable equation to represent relationships between quantities from a graph, a written description or a table of values within a mathematical or real-world context.

Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

MA.912.AR.2.3: Write a linear two-variable equation for a line that is parallel or perpendicular to a given line and goes through a given point.

Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

MA.912.AR.2.4: Given a table, equation or written description of a linear function, graph that function, and determine and interpret its key features.

Point-Slope Form of a Line
Slope-Intercept Form of a Line
Standard Form of a Line

MA.912.AR.2.5: Solve and graph mathematical and real-world problems that are modeled with linear functions. Interpret key features and determine domain constraints in terms of the context.

Point-Slope Form of a Line
Solving Linear Systems (Matrices and Special Solutions)
Standard Form of a Line

MA.912.AR.2.6: Given a mathematical or real-world context, write and solve one-variable linear inequalities, including compound inequalities. Represent solutions algebraically or graphically.

Compound Inequalities
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable

MA.912.AR.2.7: Write two-variable linear inequalities to represent relationships between quantities from a graph or a written description within a mathematical or real-world context.

Linear Inequalities in Two Variables

MA.912.AR.2.8: Given a mathematical or real-world context, graph the solution set to a two-variable linear inequality.

Linear Inequalities in Two Variables

MA.912.AR.3.1: Given a mathematical or real-world context, write and solve one-variable quadratic equations over the real number system.

Points in the Complex Plane
Quadratics in Factored Form
Roots of a Quadratic

MA.912.AR.3.4: Write a quadratic function to represent the relationship between two quantities from a graph, a written description or a table of values within a mathematical or real-world context.

Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form

MA.912.AR.3.5: Given the x-intercepts and another point on the graph of a quadratic function, write the equation for the function.

Quadratics in Factored Form
Quadratics in Polynomial Form

MA.912.AR.3.6: Given an expression or equation representing a quadratic function, determine the vertex and zeros and interpret them in terms of a real-world context.

Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic

MA.912.AR.3.7: Given a table, equation or written description of a quadratic function, graph that function, and determine and interpret its key features.

Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic
Zap It! Game

MA.912.AR.3.8: Solve and graph mathematical and real-world problems that are modeled with quadratic functions. Interpret key features and determine domain constraints in terms of the context.

Quadratics in Polynomial Form

MA.912.AR.5.3: Given a mathematical or real-world context, classify an exponential function as representing growth or decay.

Exponential Growth and Decay

MA.912.AR.5.4: Write an exponential function to represent a relationship between two quantities from a graph, a written description or a table of values within a mathematical or real-world context.

Exponential Functions
Exponential Growth and Decay
Introduction to Exponential Functions

MA.912.AR.5.6: Given a table, equation or written description of an exponential function, graph that function and determine its key features.

Exponential Functions
Exponential Growth and Decay
Introduction to Exponential Functions

MA.912.AR.9.1: Given a mathematical or real-world context, write and solve a system of two-variable linear equations algebraically or graphically.

Cat and Mouse (Modeling with Linear Systems)
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

MA.912.AR.9.4: Graph the solution set of a system of two-variable linear inequalities.

Systems of Linear Inequalities (Slope-intercept form)

MA.912.AR.9.5: Given a real-world context, represent constraints as systems of linear equations or inequalities. Interpret solutions to problems as viable or non-viable options.

Cat and Mouse (Modeling with Linear Systems)
Linear Programming
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
Systems of Linear Inequalities (Slope-intercept form)

MA.912.F: Functions

MA.912.F.1.1: Given an equation or graph that defines a function, classify the function type. Given an input-output table, determine a function type that could represent it.

Absolute Value with Linear Functions
Exponential Functions
Graphs of Polynomial Functions
Introduction to Exponential Functions
Point-Slope Form of a Line
Radical Functions
Slope-Intercept Form of a Line
Standard Form of a Line
Translating and Scaling Functions

MA.912.F.1.2: Given a function represented in function notation, evaluate the function for an input in its domain. For a real-world context, interpret the output.

Absolute Value with Linear Functions
Exponential Functions
Points, Lines, and Equations
Quadratics in Polynomial Form
Radical Functions

MA.912.F.1.3: Calculate and interpret the average rate of change of a real-world situation represented graphically, algebraically or in a table over a specified interval.

Cat and Mouse (Modeling with Linear Systems)
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Slope

MA.912.F.1.5: Compare key features of linear and nonlinear functions each represented in the same way, such as algebraically, graphically, in tables or written descriptions.

Graphs of Polynomial Functions

MA.912.F.1.7: Determine whether a linear, quadratic or exponential function best models a given real-world situation.

Arithmetic and Geometric Sequences
Quadratics in Polynomial Form

MA.912.F.2.1: Identify the effect on the graph or table of a given function after replacing f(x) by f(x) + k, kf(x), f(kx) and f(x + k) for specific values of k.

Absolute Value with Linear Functions
Point-Slope Form of a Line
Quadratics in Polynomial Form
Quadratics in Vertex Form
Slope-Intercept Form of a Line
Translating and Scaling Functions
Zap It! Game

MA.912.F.2.3: Given the graph or table of f(x) and the graph or table of f(x) + k, kf(x), f(kx) and f(x + k), state the type of transformation and find the value of the real number k.

Absolute Value with Linear Functions
Point-Slope Form of a Line
Quadratics in Polynomial Form
Quadratics in Vertex Form
Slope-Intercept Form of a Line
Translating and Scaling Functions
Zap It! Game

MA.912.F.3.1: Given a mathematical or real-world context, combine two functions, limited to linear and quadratic, using arithmetic operations. When appropriate, include domain restrictions for the new function.

Addition and Subtraction of Functions
Solving Linear Systems (Standard Form)

MA.912.FL: Financial Literacy

MA.912.FL.1.2: Solve problems involving simple, compound and continuously compounded interest, including determining the present value and future value of money.

Compound Interest

MA.912.FL.1.4: Explain the relationship between compound interest and exponential growth and the relationship between continuously compounded interest and exponential growth.

Compound Interest

MA.912.DP: Data Analysis and Probability

MA.912.DP.1.1: Given a set of data, select an appropriate method to represent the data, depending on whether it is numerical or categorical data and on whether it is univariate or bivariate.

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Histograms
Polling: City
Polling: Neighborhood
Solving Using Trend Lines
Stem-and-Leaf Plots
Trends in Scatter Plots

MA.912.DP.1.2: Interpret data distributions represented in various ways. State whether the data is numerical or categorical, whether it is univariate or bivariate and interpret the different components and quantities in the display.

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Histograms
Polling: City
Polling: Neighborhood
Stem-and-Leaf Plots
Trends in Scatter Plots

MA.912.DP.1.3: Explain the difference between correlation and causation in the contexts of both numerical and categorical data.

Correlation

MA.912.DP.1.4: Estimate a population total, mean or percentage using data from a sample survey; develop a margin of error through the use of simulation.

Polling: City
Polling: Neighborhood
Populations and Samples

MA.912.DP.2.3: Fit a linear function to bivariate numerical data that suggests a linear association and interpret the slope and y-intercept of the model. Use the model to solve real-world problems in terms of the context of the data.

Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

MA.912.DP.2.4: Given a scatter plot that represents bivariate numerical data, assess the fit of a given linear function by plotting and analyzing residuals.

Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

MA.912.DP.2.5: Given a scatter plot with a line of fit and residuals, determine the strength and direction of the correlation. Interpret strength and direction within a real-world context.

Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots