Mathematics Standards
        
            
                
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                Conditional Probability and the Rules of Probability
            
        
        
            
                
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                Interpreting Categorical and Quantitative Data
            
        
        
            
                
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                Modeling with Geometry
            
        
        
            
                
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                Number and Operations in Base Ten
            
        
        
            
                
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                Statistics and Probability
            
        
        
            
                
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                The Complex Number System
            
        
            
        Results
        Showing 111 - 120 of 138 Standards
    
        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.8
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            The Complex Number System
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Number and Quantity
                        
                    
            Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients; apply N.CN.9 to higher degree polynomials.]
Standard:
(+) Extend polynomial identities to the complex numbers.
                Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients; apply N.CN.9 to higher degree polynomials.]
Standard:
(+) Extend polynomial identities to the complex numbers.
Standard Identifier: N-CN.9
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            The Complex Number System
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Number and Quantity
                        
                    
            Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients; apply N.CN.9 to higher degree polynomials.]
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; apply N.CN.9 to higher degree polynomials.]
Standard:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
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-ID.4
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Interpreting Categorical and Quantitative Data
                        
                    
                    
                        Discipline:
                        
                            Algebra II
                        
                    
            
                        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. *
Standard Identifier: S-ID.4
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Interpreting Categorical and Quantitative Data
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        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. *
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 111 - 120 of 138 Standards
    
        
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