Mathematics Standards
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Conditional Probability and the Rules of Probability
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Expressing Geometric Properties with Equations
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Expressions and Equations
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Reasoning with Equations and Inequalities
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Seeing Structure in Expressions
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Showing 11 - 20 of 22 Standards
Standard Identifier: S-CP.5
Grade Range:
8–12
Domain:
Conditional Probability and the Rules of Probability
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Understand independence and conditional probability and use them to interpret data. [Link to data from simulations or experiments.]
Standard:
Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. *
Understand independence and conditional probability and use them to interpret data. [Link to data from simulations or experiments.]
Standard:
Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. *
Standard Identifier: S-CP.6
Grade Range:
8–12
Domain:
Conditional Probability and the Rules of Probability
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Standard:
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. *
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Standard:
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. *
Standard Identifier: S-CP.7
Grade Range:
8–12
Domain:
Conditional Probability and the Rules of Probability
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Standard:
Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model. *
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Standard:
Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model. *
Standard Identifier: S-CP.8
Grade Range:
8–12
Domain:
Conditional Probability and the Rules of Probability
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Standard:
(+) Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model. *
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Standard:
(+) Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model. *
Standard Identifier: S-CP.9
Grade Range:
8–12
Domain:
Conditional Probability and the Rules of Probability
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Standard:
(+) Use permutations and combinations to compute probabilities of compound events and solve problems. *
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Standard:
(+) Use permutations and combinations to compute probabilities of compound events and solve problems. *
Standard Identifier: A-REI.11
Grade Range:
9–12
Domain:
Reasoning with Equations and Inequalities
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Represent and solve equations and inequalities graphically. [Combine polynomial, rational, radical, absolute value, and exponential functions.]
Standard:
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. *
Represent and solve equations and inequalities graphically. [Combine polynomial, rational, radical, absolute value, and exponential functions.]
Standard:
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. *
Standard Identifier: A-REI.2
Grade Range:
9–12
Domain:
Reasoning with Equations and Inequalities
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Understand solving equations as a process of reasoning and explain the reasoning. [Simple radical and rational]
Standard:
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
Understand solving equations as a process of reasoning and explain the reasoning. [Simple radical and rational]
Standard:
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
Standard Identifier: A-SSE.1.a
Grade Range:
9–12
Domain:
Seeing Structure in Expressions
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret parts of an expression, such as terms, factors, and coefficients. *
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret parts of an expression, such as terms, factors, and coefficients. *
Standard Identifier: A-SSE.1.b
Grade Range:
9–12
Domain:
Seeing Structure in Expressions
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret complicated expressions by viewing one or more of their parts as a single entity. *
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret complicated expressions by viewing one or more of their parts as a single entity. *
Standard Identifier: A-SSE.2
Grade Range:
9–12
Domain:
Seeing Structure in Expressions
Discipline:
Math III
Conceptual Category:
Algebra
Cluster:
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Use the structure of an expression to identify ways to rewrite it.
Interpret the structure of expressions. [Polynomial and rational]
Standard:
Use the structure of an expression to identify ways to rewrite it.
Showing 11 - 20 of 22 Standards
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