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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                Linear, Quadratic, and Exponential Models
            
        
        
            
                
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                Statistics and Probability
            
        
        
            
                
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                The Complex Number System
            
        
            
        Results
        Showing 1 - 10 of 10 Standards
    
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.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.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.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.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
Standard Identifier: G-GMD.6
                    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:
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
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.
                Questions: Curriculum Frameworks and Instructional Resources Division |
                CFIRD@cde.ca.gov | 916-319-0881
            
            
        