Mathematics Standards
        
            
                
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                Geometric Measurement and Dimension
            
        
        
            
                
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                Quantities
            
        
        
            
                
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                Statistics and Probability
            
        
        
            
                
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                The Complex Number System
            
        
        
            
                
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                Using Probability to Make Decisions
            
        
            
        Results
        Showing 41 - 50 of 67 Standards
    
        Standard Identifier: N-CN.7
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            The Complex Number System
                        
                    
                    
                        Discipline:
                        
                            Math II
                        
                    
            
                        Conceptual Category:
                        
                            Number and Quantity
                        
                    
            Cluster:
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]
Standard:
Solve quadratic equations with real coefficients that have complex solutions.
                Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]
Standard:
Solve quadratic equations with real coefficients that have complex solutions.
Standard Identifier: N-CN.8
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            The Complex Number System
                        
                    
                    
                        Discipline:
                        
                            Math II
                        
                    
            
                        Conceptual Category:
                        
                            Number and Quantity
                        
                    
            Cluster:
Use complex numbers in polynomial identities and equations. [Quadratics 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. [Quadratics 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:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            The Complex Number System
                        
                    
                    
                        Discipline:
                        
                            Math II
                        
                    
            
                        Conceptual Category:
                        
                            Number and Quantity
                        
                    
            Cluster:
Use complex numbers in polynomial identities and equations. [Quadratics 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. [Quadratics with real coefficients]
Standard:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Standard Identifier: S-MD.6
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Using Probability to Make Decisions
                        
                    
                    
                        Discipline:
                        
                            Math II
                        
                    
            
                        Conceptual Category:
                        
                            Statistics and Probability
                        
                    
            Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
                Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Standard Identifier: S-MD.6
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Using Probability to Make Decisions
                        
                    
                    
                        Discipline:
                        
                            Geometry
                        
                    
            
                        Conceptual Category:
                        
                            Statistics and Probability
                        
                    
            Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
                Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Standard Identifier: S-MD.7
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Using Probability to Make Decisions
                        
                    
                    
                        Discipline:
                        
                            Geometry
                        
                    
            
                        Conceptual Category:
                        
                            Statistics and Probability
                        
                    
            Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
                Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
Standard Identifier: S-MD.7
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Using Probability to Make Decisions
                        
                    
                    
                        Discipline:
                        
                            Math II
                        
                    
            
                        Conceptual Category:
                        
                            Statistics and Probability
                        
                    
            Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
                Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
Standard Identifier: G-GMD.4
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Geometric Measurement and Dimension
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Geometry
                        
                    
            Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
                Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
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.
        Showing 41 - 50 of 67 Standards
    
        
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