Mathematics Standards
        
            
                
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                Conditional Probability and the Rules of Probability
            
        
        
            
                
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                Congruence
            
        
        
            
                
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                Interpreting Functions
            
        
        
            
                
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                Measurement and Data
            
        
        
            
                
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                Similarity, Right Triangles, and Trigonometry
            
        
        
            
                
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                The Real Number System
            
        
        
            
                
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                Using Probability to Make Decisions
            
        
            
        Results
        Showing 71 - 80 of 191 Standards
    
        Standard Identifier: G-CO.3
                    Grade Range:
                    
                        7–12
                    
                
            
                        Domain:
                        
                            Congruence
                        
                    
                    
                        Discipline:
                        
                            Math I
                        
                    
            
                        Conceptual Category:
                        
                            Geometry
                        
                    
            Cluster:
Experiment with transformations in the plane.
Standard:
Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
                Experiment with transformations in the plane.
Standard:
Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
Standard Identifier: G-CO.4
                    Grade Range:
                    
                        7–12
                    
                
            
                        Domain:
                        
                            Congruence
                        
                    
                    
                        Discipline:
                        
                            Math I
                        
                    
            
                        Conceptual Category:
                        
                            Geometry
                        
                    
            Cluster:
Experiment with transformations in the plane.
Standard:
Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
                Experiment with transformations in the plane.
Standard:
Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
Standard Identifier: G-CO.5
                    Grade Range:
                    
                        7–12
                    
                
            
                        Domain:
                        
                            Congruence
                        
                    
                    
                        Discipline:
                        
                            Math I
                        
                    
            
                        Conceptual Category:
                        
                            Geometry
                        
                    
            Cluster:
Experiment with transformations in the plane.
Standard:
Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
                Experiment with transformations in the plane.
Standard:
Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Standard Identifier: G-CO.6
                    Grade Range:
                    
                        7–12
                    
                
            
                        Domain:
                        
                            Congruence
                        
                    
                    
                        Discipline:
                        
                            Math I
                        
                    
            
                        Conceptual Category:
                        
                            Geometry
                        
                    
            Cluster:
Understand congruence in terms of rigid motions. [Build on rigid motions as a familiar starting point for development of concept of geometric proof.]
Standard:
Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
                Understand congruence in terms of rigid motions. [Build on rigid motions as a familiar starting point for development of concept of geometric proof.]
Standard:
Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Standard Identifier: G-CO.7
                    Grade Range:
                    
                        7–12
                    
                
            
                        Domain:
                        
                            Congruence
                        
                    
                    
                        Discipline:
                        
                            Math I
                        
                    
            
                        Conceptual Category:
                        
                            Geometry
                        
                    
            Cluster:
Understand congruence in terms of rigid motions. [Build on rigid motions as a familiar starting point for development of concept of geometric proof.]
Standard:
Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
                Understand congruence in terms of rigid motions. [Build on rigid motions as a familiar starting point for development of concept of geometric proof.]
Standard:
Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
Standard Identifier: G-CO.8
                    Grade Range:
                    
                        7–12
                    
                
            
                        Domain:
                        
                            Congruence
                        
                    
                    
                        Discipline:
                        
                            Math I
                        
                    
            
                        Conceptual Category:
                        
                            Geometry
                        
                    
            Cluster:
Understand congruence in terms of rigid motions. [Build on rigid motions as a familiar starting point for development of concept of geometric proof.]
Standard:
Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
                Understand congruence in terms of rigid motions. [Build on rigid motions as a familiar starting point for development of concept of geometric proof.]
Standard:
Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
Standard Identifier: N-RN.1
                    Grade Range:
                    
                        7–12
                    
                
            
                        Domain:
                        
                            The Real Number System
                        
                    
                    
                        Discipline:
                        
                            Algebra I
                        
                    
            
                        Conceptual Category:
                        
                            Number and Quantity
                        
                    
            Cluster:
Extend the properties of exponents to rational exponents.
Standard:
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5(^1/3)^3 to hold, so (5^1/3)^3 must equal 5.
                Extend the properties of exponents to rational exponents.
Standard:
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5(^1/3)^3 to hold, so (5^1/3)^3 must equal 5.
Standard Identifier: N-RN.2
                    Grade Range:
                    
                        7–12
                    
                
            
                        Domain:
                        
                            The Real Number System
                        
                    
                    
                        Discipline:
                        
                            Algebra I
                        
                    
            
                        Conceptual Category:
                        
                            Number and Quantity
                        
                    
            Cluster:
Extend the properties of exponents to rational exponents.
Standard:
Rewrite expressions involving radicals and rational exponents using the properties of exponents.
                Extend the properties of exponents to rational exponents.
Standard:
Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Standard Identifier: N-RN.3
                    Grade Range:
                    
                        7–12
                    
                
            
                        Domain:
                        
                            The Real Number System
                        
                    
                    
                        Discipline:
                        
                            Algebra I
                        
                    
            
                        Conceptual Category:
                        
                            Number and Quantity
                        
                    
            Cluster:
Use properties of rational and irrational numbers.
Standard:
Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
                Use properties of rational and irrational numbers.
Standard:
Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
Standard Identifier: F-IF.4
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Interpreting Functions
                        
                    
                    
                        Discipline:
                        
                            Math II
                        
                    
            
                        Conceptual Category:
                        
                            Functions
                        
                    
            Cluster:
Interpret functions that arise in applications in terms of the context. [Quadratic]
Standard:
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. *
                Interpret functions that arise in applications in terms of the context. [Quadratic]
Standard:
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. *
        Showing 71 - 80 of 191 Standards
    
        
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