Mathematics Standards
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Conditional Probability and the Rules of Probability
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Quantities
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Reasoning with Equations and Inequalities
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Similarity, Right Triangles, and Trigonometry
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The Complex Number System
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Showing 1 - 10 of 17 Standards
Standard Identifier: A-REI.11
Grade Range:
9–12
Domain:
Reasoning with Equations and Inequalities
Discipline:
Algebra II
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:
Algebra II
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-REI.3.1
Grade Range:
9–12
Domain:
Reasoning with Equations and Inequalities
Discipline:
Algebra II
Conceptual Category:
Algebra
Cluster:
Solve equations and inequalities in one variable.
Standard:
Solve one-variable equations and inequalities involving absolute value, graphing the solutions and interpreting them in context. CA
Solve equations and inequalities in one variable.
Standard:
Solve one-variable equations and inequalities involving absolute value, graphing the solutions and interpreting them in context. CA
Standard Identifier: N-CN.1
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Algebra II
Conceptual Category:
Number and Quantity
Cluster:
Perform arithmetic operations with complex numbers.
Standard:
Know there is a complex number i such that i^2 = −1, and every complex number has the form a + bi with a and b real.
Perform arithmetic operations with complex numbers.
Standard:
Know there is a complex number i such that i^2 = −1, and every complex number has the form a + bi with a and b real.
Standard Identifier: N-CN.2
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Algebra II
Conceptual Category:
Number and Quantity
Cluster:
Perform arithmetic operations with complex numbers.
Standard:
Use the relation i^2 = −1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
Perform arithmetic operations with complex numbers.
Standard:
Use the relation i^2 = −1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
Standard Identifier: N-CN.7
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Algebra II
Conceptual Category:
Number and Quantity
Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]
Standard:
Solve quadratic equations with real coefficients that have complex solutions.
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]
Standard:
Solve quadratic equations with real coefficients that have complex solutions.
Standard Identifier: N-CN.8
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Algebra II
Conceptual Category:
Number and Quantity
Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]
Standard:
(+) Extend polynomial identities to the complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i).
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]
Standard:
(+) Extend polynomial identities to the complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i).
Standard Identifier: N-CN.9
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Algebra II
Conceptual Category:
Number and Quantity
Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]
Standard:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]
Standard:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Standard Identifier: S-CP.1
Grade Range:
10–12
Domain:
Conditional Probability and the Rules of Probability
Discipline:
Statistics and Probability
Conceptual Category:
Statistics and Probability
Cluster:
Understand independence and conditional probability and use them to interpret data.
Standard:
Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”). *
Understand independence and conditional probability and use them to interpret data.
Standard:
Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”). *
Standard Identifier: S-CP.2
Grade Range:
10–12
Domain:
Conditional Probability and the Rules of Probability
Discipline:
Statistics and Probability
Conceptual Category:
Statistics and Probability
Cluster:
Understand independence and conditional probability and use them to interpret data.
Standard:
Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent. *
Understand independence and conditional probability and use them to interpret data.
Standard:
Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent. *
Showing 1 - 10 of 17 Standards
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