Mathematics Standards
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Add a Domain
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Arithmetic with Polynomials and Rational Expressions
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Building Functions
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Circles
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Counting and Cardinality
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Geometry
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Interpreting Categorical and Quantitative Data
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Reasoning with Equations and Inequalities
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The Complex Number System
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Using Probability to Make Decisions
Results
Showing 1 - 10 of 25 Standards
Standard Identifier: A-APR.1
Grade Range:
8–12
Domain:
Arithmetic with Polynomials and Rational Expressions
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Perform arithmetic operations on polynomials. [Polynomials that simplify to quadratics]
Standard:
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.
Perform arithmetic operations on polynomials. [Polynomials that simplify to quadratics]
Standard:
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.
Standard Identifier: A-REI.4.a
Grade Range:
8–12
Domain:
Reasoning with Equations and Inequalities
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Solve equations and inequalities in one variable. [Quadratics with real coefficients]
Standard:
Solve quadratic equations in one variable. 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.
Solve equations and inequalities in one variable. [Quadratics with real coefficients]
Standard:
Solve quadratic equations in one variable. 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.
Standard Identifier: A-REI.4.b
Grade Range:
8–12
Domain:
Reasoning with Equations and Inequalities
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Solve equations and inequalities in one variable. [Quadratics with real coefficients]
Standard:
Solve quadratic equations in one variable. 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.
Solve equations and inequalities in one variable. [Quadratics with real coefficients]
Standard:
Solve quadratic equations in one variable. 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.
Standard Identifier: A-REI.7
Grade Range:
8–12
Domain:
Reasoning with Equations and Inequalities
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Solve systems of equations. [Linear-quadratic systems]
Standard:
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.
Solve systems of equations. [Linear-quadratic systems]
Standard:
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.
Standard Identifier: S-MD.6
Grade Range:
8–12
Domain:
Using Probability to Make Decisions
Discipline:
Math II
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Standard Identifier: S-MD.7
Grade Range:
8–12
Domain:
Using Probability to Make Decisions
Discipline:
Math II
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
Standard Identifier: S-ID.1
Grade Range:
10–12
Domain:
Interpreting Categorical and Quantitative Data
Discipline:
Statistics and Probability
Conceptual Category:
Statistics and Probability
Cluster:
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
Represent data with plots on the real number line (dot plots, histograms, and box plots). *
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
Represent data with plots on the real number line (dot plots, histograms, and box plots). *
Standard Identifier: S-ID.2
Grade Range:
10–12
Domain:
Interpreting Categorical and Quantitative Data
Discipline:
Statistics and Probability
Conceptual Category:
Statistics and Probability
Cluster:
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
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. *
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
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. *
Standard Identifier: S-ID.3
Grade Range:
10–12
Domain:
Interpreting Categorical and Quantitative Data
Discipline:
Statistics and Probability
Conceptual Category:
Statistics and Probability
Cluster:
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). *
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). *
Standard Identifier: S-ID.4
Grade Range:
10–12
Domain:
Interpreting Categorical and Quantitative Data
Discipline:
Statistics and Probability
Conceptual Category:
Statistics and Probability
Cluster:
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. *
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. *
Showing 1 - 10 of 25 Standards
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