Mathematics Standards
        
            
                
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                Conditional Probability and the Rules of Probability
            
        
        
            
                
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                Geometric Measurement and Dimension
            
        
        
            
                
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                Modeling with Geometry
            
        
        
            
                
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                Number and Operations—Fractions
            
        
        
            
                
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                Reasoning with Equations and Inequalities
            
        
            
        Results
        Showing 51 - 60 of 100 Standards
    
        Standard Identifier: A-REI.4.b
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Reasoning with Equations and Inequalities
                        
                    
                    
                        Discipline:
                        
                            Math II
                        
                    
            
                        Conceptual Category:
                        
                            Algebra
                        
                    
            Cluster:
Solve equations and inequalities in one variable. [Quadratics with real coefficients]
Standard:
Solve quadratic equations in one variable. Solve quadratic equations by inspection (e.g., for x^2 = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
                Solve equations and inequalities in one variable. [Quadratics with real coefficients]
Standard:
Solve quadratic equations in one variable. Solve quadratic equations by inspection (e.g., for x^2 = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
Standard Identifier: A-REI.7
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Reasoning with Equations and Inequalities
                        
                    
                    
                        Discipline:
                        
                            Math II
                        
                    
            
                        Conceptual Category:
                        
                            Algebra
                        
                    
            Cluster:
Solve systems of equations. [Linear-quadratic systems]
Standard:
Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x^2 + y^2 = 3.
                Solve systems of equations. [Linear-quadratic systems]
Standard:
Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x^2 + y^2 = 3.
Standard Identifier: G-GMD.1
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Geometric Measurement and Dimension
                        
                    
                    
                        Discipline:
                        
                            Math II
                        
                    
            
                        Conceptual Category:
                        
                            Geometry
                        
                    
            Cluster:
Explain volume formulas and use them to solve problems.
Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
                Explain volume formulas and use them to solve problems.
Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Standard Identifier: G-GMD.1
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Geometric Measurement and Dimension
                        
                    
                    
                        Discipline:
                        
                            Geometry
                        
                    
            
                        Conceptual Category:
                        
                            Geometry
                        
                    
            Cluster:
Explain volume formulas and use them to solve problems.
Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
                Explain volume formulas and use them to solve problems.
Standard:
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Standard Identifier: G-GMD.3
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Geometric Measurement and Dimension
                        
                    
                    
                        Discipline:
                        
                            Geometry
                        
                    
            
                        Conceptual Category:
                        
                            Geometry
                        
                    
            Cluster:
Explain volume formulas and use them to solve problems.
Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *
                Explain volume formulas and use them to solve problems.
Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *
Standard Identifier: G-GMD.3
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Geometric Measurement and Dimension
                        
                    
                    
                        Discipline:
                        
                            Math II
                        
                    
            
                        Conceptual Category:
                        
                            Geometry
                        
                    
            Cluster:
Explain volume formulas and use them to solve problems.
Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *
                Explain volume formulas and use them to solve problems.
Standard:
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. *
Standard Identifier: G-GMD.4
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Geometric Measurement and Dimension
                        
                    
                    
                        Discipline:
                        
                            Geometry
                        
                    
            
                        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: G-GMD.5
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Geometric Measurement and Dimension
                        
                    
                    
                        Discipline:
                        
                            Geometry
                        
                    
            
                        Conceptual Category:
                        
                            Geometry
                        
                    
            Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Know that the effect of a scale factor k greater than zero on length, area, and volume is to multiply each by k, k^2, and k^3, respectively; determine length, area and volume measures using scale factors. CA
                Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Know that the effect of a scale factor k greater than zero on length, area, and volume is to multiply each by k, k^2, and k^3, respectively; determine length, area and volume measures using scale factors. CA
Standard Identifier: G-GMD.5
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Geometric Measurement and Dimension
                        
                    
                    
                        Discipline:
                        
                            Math II
                        
                    
            
                        Conceptual Category:
                        
                            Geometry
                        
                    
            Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Know that the effect of a scale factor k greater than zero on length, area, and volume is to multiply each by k, k^2, and k^3, respectively; determine length, area and volume measures using scale factors. CA
                Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Know that the effect of a scale factor k greater than zero on length, area, and volume is to multiply each by k, k^2, and k^3, respectively; determine length, area and volume measures using scale factors. CA
Standard Identifier: G-GMD.6
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Geometric Measurement and Dimension
                        
                    
                    
                        Discipline:
                        
                            Math II
                        
                    
            
                        Conceptual Category:
                        
                            Geometry
                        
                    
            Cluster:
Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Verify experimentally that in a triangle, angles opposite longer sides are larger, sides opposite larger angles are longer, and the sum of any two side lengths is greater than the remaining side length; apply these relationships to solve realworld and mathematical problems. CA
                Visualize relationships between two-dimensional and three-dimensional objects.
Standard:
Verify experimentally that in a triangle, angles opposite longer sides are larger, sides opposite larger angles are longer, and the sum of any two side lengths is greater than the remaining side length; apply these relationships to solve realworld and mathematical problems. CA
        Showing 51 - 60 of 100 Standards
    
        
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