Nebraska's College and Career Ready Standards: Algebra 2
Skills available for Nebraska Algebra 2 math standards
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N
Number
Students will solve problems and reason with number concepts using multiple representations, make connections within math and across disciplines, and communicate their ideas.
HS.N.1 Estimation and Technology: Students will use estimation strategies and technology to reason, to solve problems, and to make connections within mathematics and across disciplines.
HS.N.1 Estimation and Technology: Students will use estimation strategies and technology to reason, to solve problems, and to make connections within mathematics and across disciplines.
HS.N.1.d: Estimate a value using the concept of betweenness by bounding above and below (e.g., since log(10) = 1 and log(1,000) = 3 we know log(500) is between 1 and 3).
HS.N.1.d: Estimate a value using the concept of betweenness by bounding above and below (e.g., since log(10) = 1 and log(1,000) = 3 we know log(500) is between 1 and 3).
HS.N.2 Sets and Operations: Students will use number sets and operations to reason and to solve problems.
HS.N.2 Sets and Operations: Students will use number sets and operations to reason and to solve problems.
HS.N.2.a: Extend the properties of exponents to rational numbers.
HS.N.2.a: Extend the properties of exponents to rational numbers.
HS.N.2.b: Use properties of rational and irrational numbers.
HS.N.2.b: Use properties of rational and irrational numbers.
HS.N.2.c: Demonstrate, represent, and show relationships among the subsets of real numbers and the complex number system.
HS.N.2.c: Demonstrate, represent, and show relationships among the subsets of real numbers and the complex number system.
HS.N.2.d: Compute with subsets of the complex number system including imaginary, rational, irrational, integers, whole, and natural numbers.
Real numbers
Rational numbers
Complex numbers
HS.N.2.d: Compute with subsets of the complex number system including imaginary, rational, irrational, integers, whole, and natural numbers.
Real numbers
Rational numbers
Complex numbers
HS.N.3 Interpretation and Sense Making: Students will reason abstractly and quantitatively using units to solve problems and interpret results in context.
HS.N.3 Interpretation and Sense Making: Students will reason abstractly and quantitatively using units to solve problems and interpret results in context.
HS.N.3.d: Communicate the meaning of an answer in the context of a problem.
HS.N.3.d: Communicate the meaning of an answer in the context of a problem.
A
Algebra
Students will solve problems and reason with algebra using multiple representations, make connections within math and across disciplines, and communicate their ideas.
HS.A.1 Algebraic Relationships: Students will demonstrate and represent relationships with functions.
HS.A.1 Algebraic Relationships: Students will demonstrate and represent relationships with functions.
HS.A.1.c: Classify a function given its mapping diagram, function notation, table, or graph as a linear, quadratic, absolute value, exponential, or other function.
Domain and range
Inverse functions and relations
Identify functions
HS.A.1.c: Classify a function given its mapping diagram, function notation, table, or graph as a linear, quadratic, absolute value, exponential, or other function.
Domain and range
Inverse functions and relations
Identify functions
HS.A.1.e: Define, interpret, and analyze linear, quadratic, absolute value, and exponential functions using the points of interest of the functions and graphing technology.
Linear functions
Quadratic functions
Absolute value functions
Exponential functions
Other functions
HS.A.1.e: Define, interpret, and analyze linear, quadratic, absolute value, and exponential functions using the points of interest of the functions and graphing technology.
Linear functions
Quadratic functions
Absolute value functions
Exponential functions
Other functions
HS.A.1.f: Identify, analyze, and apply transformations of existing functions (including translation and dilation).
Translations
Reflections
Dilations
Mixed transformations
HS.A.1.f: Identify, analyze, and apply transformations of existing functions (including translation and dilation).
Translations
Reflections
Dilations
Mixed transformations
HS.A.1.g: Interpret logarithmic equations as exponential equations.
Exponential equations
Convert between exponential and logarithmic form
Evaluate logarithms
HS.A.1.g: Interpret logarithmic equations as exponential equations.
Exponential equations
Convert between exponential and logarithmic form
Evaluate logarithms
HS.A.2 Algebraic Processes: Students will apply the operational properties when evaluating rational expressions and solving linear and quadratic equations, and inequalities.
HS.A.2 Algebraic Processes: Students will apply the operational properties when evaluating rational expressions and solving linear and quadratic equations, and inequalities.
HS.A.2.a: Analyze and explain the properties used in solving equations, inequalities, systems of linear equations, systems of linear inequalities, and literal equations.
Solve equations
Solve inequalities
Solve system of linear equations
Solve system of linear inequalities
Solve literal equations
HS.A.2.a: Analyze and explain the properties used in solving equations, inequalities, systems of linear equations, systems of linear inequalities, and literal equations.
Solve equations
Solve inequalities
Solve system of linear equations
Solve system of linear inequalities
Solve literal equations
HS.A.2.b: Generate expressions in equivalent forms by using algebraic properties to make different characteristics or features visible.
Variable expressions
Rational exponents
Rational expressions
Polynomial expressions
HS.A.2.b: Generate expressions in equivalent forms by using algebraic properties to make different characteristics or features visible.
Variable expressions
Rational exponents
Rational expressions
Polynomial expressions
HS.A.2.c: Analyze equations and inequalities to determine and apply efficient methods to solve and use appropriate technology as needed.
Linear equations
Inequalities
Systems of equations
Systems of linear inequalities
Absolute value equations
Polynomial equations
Exponential and logarithmic equations
Rational equations
HS.A.2.c: Analyze equations and inequalities to determine and apply efficient methods to solve and use appropriate technology as needed.
Linear equations
Inequalities
Systems of equations
Systems of linear inequalities
Absolute value equations
Polynomial equations
Exponential and logarithmic equations
Rational equations
HS.A.2.e: Write and graph equations of functions (linear, absolute value, quadratic, and exponential) using the points of interest of the function.
Linear function
Absolute value function
Quadratic function
Exponential function
HS.A.2.e: Write and graph equations of functions (linear, absolute value, quadratic, and exponential) using the points of interest of the function.
Linear function
Absolute value function
Quadratic function
Exponential function
HS.A.2.g: Perform and explain operations such as addition, subtraction, multiplication, division, and factoring on polynomials.
Polynomial operations
Factor quadratic expressions
Factor polynomial expressions
Factor sums and differences of cubes
HS.A.2.g: Perform and explain operations such as addition, subtraction, multiplication, division, and factoring on polynomials.
Polynomial operations
Factor quadratic expressions
Factor polynomial expressions
Factor sums and differences of cubes
HS.A.2.h: Explain the connection between the factors of a polynomial and the zeros of a polynomial.
HS.A.2.h: Explain the connection between the factors of a polynomial and the zeros of a polynomial.
HS.A.2.i: Combine functions by composition and perform operations on functions.
Function operations
Composition of functions
HS.A.2.i: Combine functions by composition and perform operations on functions.
Function operations
Composition of functions
HS.A.3 Applications: Students will solve authentic problems using nonlinear functions.
HS.A.3 Applications: Students will solve authentic problems using nonlinear functions.
HS.A.3.a: Analyze and model authentic situations using various representations and appropriate technology.
HS.A.3.a: Analyze and model authentic situations using various representations and appropriate technology.
HS.A.3.b: Identify, interpret, relate, and graph the factors, x-intercepts, roots, and zeros of polynomial functions using algebraic and graphing methods.
Characteristics of quadratic functions
Represent quadratic functions
Represent polynomial functions
HS.A.3.b: Identify, interpret, relate, and graph the factors, x-intercepts, roots, and zeros of polynomial functions using algebraic and graphing methods.
Characteristics of quadratic functions
Represent quadratic functions
Represent polynomial functions
HS.A.3.c: Identify and predict appropriate solutions to equations given context and domain/range (e.g., extraneous solutions, imaginary solutions, no solution, infinitely many solutions).
HS.A.3.c: Identify and predict appropriate solutions to equations given context and domain/range (e.g., extraneous solutions, imaginary solutions, no solution, infinitely many solutions).
D
Data
Students will solve problems and reason with data/probability using multiple representations, make connections within math and across disciplines, and communicate their ideas.
HS.D.1 Data Collection and Statistical Methods: Students will formulate statistical investigative questions, collect data, and organize data.
HS.D.1 Data Collection and Statistical Methods: Students will formulate statistical investigative questions, collect data, and organize data.
HS.D.1.a: Formulate multi-variable statistical investigative questions and determine how data can be collected and analyzed to provide an answer.
HS.D.1.a: Formulate multi-variable statistical investigative questions and determine how data can be collected and analyzed to provide an answer.
HS.D.1.b: Apply an appropriate data collection plan when collecting primary data for the statistical investigative question of interest.
HS.D.1.b: Apply an appropriate data collection plan when collecting primary data for the statistical investigative question of interest.
HS.D.1.c: Use appropriate technology, including spreadsheet-based logic, to organize data for analysis.
HS.D.1.c: Use appropriate technology, including spreadsheet-based logic, to organize data for analysis.
HS.D.1.d: Distinguish between surveys, observational studies, and experiments.
HS.D.1.d: Distinguish between surveys, observational studies, and experiments.
HS.D.1.e: Understand what constitutes good practice in designing a sample survey, an experiment, and an observational study.
HS.D.1.e: Understand what constitutes good practice in designing a sample survey, an experiment, and an observational study.
HS.D.1.f: Understand issues of bias and confounding variables in a study and their implications for interpretation.
HS.D.1.f: Understand issues of bias and confounding variables in a study and their implications for interpretation.
HS.D.2 Analyze Data and Interpret Results: Students will represent and analyze the data and interpret the results.
HS.D.2 Analyze Data and Interpret Results: Students will represent and analyze the data and interpret the results.
HS.D.2.d: Recognize when a data set can be reasonably said to be normally distributed and draw conclusions about the data from the associated normal distribution.
HS.D.2.d: Recognize when a data set can be reasonably said to be normally distributed and draw conclusions about the data from the associated normal distribution.
HS.D.2.g: Use technology to develop regression models for linear and non-linear data to predict unobserved outcomes. Interpret slope and y-intercept in the context of the problem.
HS.D.2.g: Use technology to develop regression models for linear and non-linear data to predict unobserved outcomes. Interpret slope and y-intercept in the context of the problem.
HS.D.2.h: Measure the strength of association using correlation coefficients for regression curves and interpret their meanings for the model.
HS.D.2.h: Measure the strength of association using correlation coefficients for regression curves and interpret their meanings for the model.
HS.D.2.k: Understand what constitutes statistical significance. Interpret statistical significance in the context of a situation and answer investigative questions appropriately.
HS.D.2.k: Understand what constitutes statistical significance. Interpret statistical significance in the context of a situation and answer investigative questions appropriately.
HS.D.2.l: Use probability as a tool for assessing risk and for informed decision making by interpreting P-values.
HS.D.2.l: Use probability as a tool for assessing risk and for informed decision making by interpreting P-values.