Mathematics Standards
        
            
                
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                Circles
            
        
        
            
                
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                Interpreting Categorical and Quantitative Data
            
        
        
            
                
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                Making Inferences and Justifying Conclusions
            
        
        
            
                
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                Quantities
            
        
        
            
                
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                The Number System
            
        
        
            
                
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                Trigonometric Functions
            
        
            
        Results
        Showing 1 - 10 of 10 Standards
    
Standard Identifier: F-TF.8
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Trigonometric Functions
                        
                    
                    
                        Discipline:
                        
                            Math II
                        
                    
            
                        Conceptual Category:
                        
                            Functions
                        
                    
            Cluster:
Prove and apply trigonometric identities.
Standard:
Prove the Pythagorean identity sin^2(θ ) + cos^2(θ ) = 1 and use it to find sin(θ ), cos(θ ), or tan(θ ) given sin(θ ), cos(θ ), or tan(θ ) and the quadrant of the angle.
                Prove and apply trigonometric identities.
Standard:
Prove the Pythagorean identity sin^2(θ ) + cos^2(θ ) = 1 and use it to find sin(θ ), cos(θ ), or tan(θ ) given sin(θ ), cos(θ ), or tan(θ ) and the quadrant of the angle.
Standard Identifier: F-TF.1
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Trigonometric Functions
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Functions
                        
                    
            Cluster:
Extend the domain of trigonometric functions using the unit circle.
Standard:
Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
                Extend the domain of trigonometric functions using the unit circle.
Standard:
Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
Standard Identifier: F-TF.1
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Trigonometric Functions
                        
                    
                    
                        Discipline:
                        
                            Algebra II
                        
                    
            
                        Conceptual Category:
                        
                            Functions
                        
                    
            Cluster:
Extend the domain of trigonometric functions using the unit circle.
Standard:
Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
                Extend the domain of trigonometric functions using the unit circle.
Standard:
Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
Standard Identifier: F-TF.2
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Trigonometric Functions
                        
                    
                    
                        Discipline:
                        
                            Algebra II
                        
                    
            
                        Conceptual Category:
                        
                            Functions
                        
                    
            Cluster:
Extend the domain of trigonometric functions using the unit circle.
Standard:
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
                Extend the domain of trigonometric functions using the unit circle.
Standard:
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
Standard Identifier: F-TF.2
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Trigonometric Functions
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Functions
                        
                    
            Cluster:
Extend the domain of trigonometric functions using the unit circle.
Standard:
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
                Extend the domain of trigonometric functions using the unit circle.
Standard:
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
Standard Identifier: F-TF.2.1
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Trigonometric Functions
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Functions
                        
                    
            Cluster:
Extend the domain of trigonometric functions using the unit circle.
Standard:
Graph all 6 basic trigonometric functions. CA
                Extend the domain of trigonometric functions using the unit circle.
Standard:
Graph all 6 basic trigonometric functions. CA
Standard Identifier: F-TF.2.1
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Trigonometric Functions
                        
                    
                    
                        Discipline:
                        
                            Algebra II
                        
                    
            
                        Conceptual Category:
                        
                            Functions
                        
                    
            Cluster:
Extend the domain of trigonometric functions using the unit circle.
Standard:
Graph all 6 basic trigonometric functions. CA
                Extend the domain of trigonometric functions using the unit circle.
Standard:
Graph all 6 basic trigonometric functions. CA
Standard Identifier: F-TF.5
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Trigonometric Functions
                        
                    
                    
                        Discipline:
                        
                            Algebra II
                        
                    
            
                        Conceptual Category:
                        
                            Functions
                        
                    
            Cluster:
Model periodic phenomena with trigonometric functions.
Standard:
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. *
                Model periodic phenomena with trigonometric functions.
Standard:
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. *
Standard Identifier: F-TF.5
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Trigonometric Functions
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Functions
                        
                    
            Cluster:
Model periodic phenomena with trigonometric functions.
Standard:
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. *
                Model periodic phenomena with trigonometric functions.
Standard:
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. *
Standard Identifier: F-TF.8
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Trigonometric Functions
                        
                    
                    
                        Discipline:
                        
                            Algebra II
                        
                    
            
                        Conceptual Category:
                        
                            Functions
                        
                    
            Cluster:
Prove and apply trigonometric identities.
Standard:
Prove the Pythagorean identity sin^2(θ ) + cos^2(θ ) = 1 and use it to find sin(θ ), cos(θ ), or tan(θ ) given sin(θ ), cos(θ ), or tan(θ ) and the quadrant of the angle.
                Prove and apply trigonometric identities.
Standard:
Prove the Pythagorean identity sin^2(θ ) + cos^2(θ ) = 1 and use it to find sin(θ ), cos(θ ), or tan(θ ) given sin(θ ), cos(θ ), or tan(θ ) and the quadrant of the angle.
                Questions: Curriculum Frameworks and Instructional Resources Division |
                CFIRD@cde.ca.gov | 916-319-0881
            
            
        