Mathematics Standards
        
            
                
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                Interpreting Categorical and Quantitative Data
            
        
        
            
                
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                Measurement and Data
            
        
        
            
                
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                Quantities
            
        
        
            
                
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                Statistics and Probability
            
        
        
            
                
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                The Complex Number System
            
        
            
        Results
        Showing 101 - 110 of 119 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-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. *
        Showing 101 - 110 of 119 Standards
    
        
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