Mathematics Standards
        
            
                
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                Congruence
            
        
        
            
                
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                Linear, Quadratic, and Exponential Models
            
        
        
            
                
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                Quantities
            
        
        
            
                
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                Trigonometric Functions
            
        
        
            
                
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                Using Probability to Make Decisions
            
        
            
        Results
        Showing 1 - 10 of 10 Standards
    
Standard Identifier: F-LE.4
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Linear, Quadratic, and Exponential Models
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Functions
                        
                    
            Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
For exponential models, express as a logarithm the solution to ab^ct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. * [Logarithms as solutions for exponentials]
                Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
For exponential models, express as a logarithm the solution to ab^ct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. * [Logarithms as solutions for exponentials]
Standard Identifier: F-LE.4.1
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Linear, Quadratic, and Exponential Models
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Functions
                        
                    
            Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Prove simple laws of logarithms. CA *
                Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Prove simple laws of logarithms. CA *
Standard Identifier: F-LE.4.2
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Linear, Quadratic, and Exponential Models
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Functions
                        
                    
            Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Use the definition of logarithms to translate between logarithms in any base. CA *
                Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Use the definition of logarithms to translate between logarithms in any base. CA *
Standard Identifier: F-LE.4.3
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Linear, Quadratic, and Exponential Models
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Functions
                        
                    
            Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Understand and use the properties of logarithms to simplify logarithmic numeric expressions and to identify their approximate values. CA *
                Construct and compare linear, quadratic, and exponential models and solve problems.
Standard:
Understand and use the properties of logarithms to simplify logarithmic numeric expressions and to identify their approximate values. CA *
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.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.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: S-MD.6
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Using Probability to Make Decisions
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Statistics and Probability
                        
                    
            Cluster:
Use probability to evaluate outcomes of decisions. [Include more complex situations.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
                Use probability to evaluate outcomes of decisions. [Include more complex situations.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Standard Identifier: S-MD.7
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Using Probability to Make Decisions
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Statistics and Probability
                        
                    
            Cluster:
Use probability to evaluate outcomes of decisions. [Include more complex situations.]
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. [Include more complex situations.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
                Questions: Curriculum Frameworks and Instructional Resources Division |
                CFIRD@cde.ca.gov | 916-319-0881
            
            
        