Mathematics Standards
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        Showing 1 - 10 of 19 Standards
    
        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.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-IC.1
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Making Inferences and Justifying Conclusions
                        
                    
                    
                        Discipline:
                        
                            Algebra II
                        
                    
            
                        Conceptual Category:
                        
                            Statistics and Probability
                        
                    
            Cluster:
Understand and evaluate random processes underlying statistical experiments.
Standard:
Understand statistics as a process for making inferences about population parameters based on a random sample from that population. *
                Understand and evaluate random processes underlying statistical experiments.
Standard:
Understand statistics as a process for making inferences about population parameters based on a random sample from that population. *
Standard Identifier: S-IC.1
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Making Inferences and Justifying Conclusions
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Statistics and Probability
                        
                    
            Cluster:
Understand and evaluate random processes underlying statistical experiments.
Standard:
Understand statistics as a process for making inferences about population parameters based on a random sample from that population. *
                Understand and evaluate random processes underlying statistical experiments.
Standard:
Understand statistics as a process for making inferences about population parameters based on a random sample from that population. *
Standard Identifier: S-IC.2
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Making Inferences and Justifying Conclusions
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Statistics and Probability
                        
                    
            Cluster:
Understand and evaluate random processes underlying statistical experiments.
Standard:
Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model? *
                Understand and evaluate random processes underlying statistical experiments.
Standard:
Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model? *
        Showing 1 - 10 of 19 Standards
    
        
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