Mathematics Standards
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        Showing 31 - 40 of 68 Standards
    
        Standard Identifier: A-CED.1
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Creating Equations
                        
                    
                    
                        Discipline:
                        
                            Math II
                        
                    
            
                        Conceptual Category:
                        
                            Algebra
                        
                    
            Cluster:
Create equations that describe numbers or relationships.
Standard:
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. CA *
                Create equations that describe numbers or relationships.
Standard:
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. CA *
Standard Identifier: A-CED.2
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Creating Equations
                        
                    
                    
                        Discipline:
                        
                            Math II
                        
                    
            
                        Conceptual Category:
                        
                            Algebra
                        
                    
            Cluster:
Create equations that describe numbers or relationships.
Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *
                Create equations that describe numbers or relationships.
Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *
Standard Identifier: A-CED.4
                    Grade Range:
                    
                        8–12
                    
                
            
                        Domain:
                        
                            Creating Equations
                        
                    
                    
                        Discipline:
                        
                            Math II
                        
                    
            
                        Conceptual Category:
                        
                            Algebra
                        
                    
            Cluster:
Create equations that describe numbers or relationships.
Standard:
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. * [Include formulas involving quadratic terms.]
                Create equations that describe numbers or relationships.
Standard:
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. * [Include formulas involving quadratic terms.]
Standard Identifier: A-APR.1
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Arithmetic with Polynomials and Rational Expressions
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Algebra
                        
                    
            Cluster:
Perform arithmetic operations on polynomials. [Beyond quadratic]
Standard:
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
                Perform arithmetic operations on polynomials. [Beyond quadratic]
Standard:
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Standard Identifier: A-APR.1
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Arithmetic with Polynomials and Rational Expressions
                        
                    
                    
                        Discipline:
                        
                            Algebra II
                        
                    
            
                        Conceptual Category:
                        
                            Algebra
                        
                    
            Cluster:
Perform arithmetic operations on polynomials. [Beyond quadratic]
Standard:
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
                Perform arithmetic operations on polynomials. [Beyond quadratic]
Standard:
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Standard Identifier: A-APR.2
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Arithmetic with Polynomials and Rational Expressions
                        
                    
                    
                        Discipline:
                        
                            Algebra II
                        
                    
            
                        Conceptual Category:
                        
                            Algebra
                        
                    
            Cluster:
Understand the relationship between zeros and factors of polynomials.
Standard:
Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).
                Understand the relationship between zeros and factors of polynomials.
Standard:
Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).
Standard Identifier: A-APR.2
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Arithmetic with Polynomials and Rational Expressions
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Algebra
                        
                    
            Cluster:
Understand the relationship between zeros and factors of polynomials.
Standard:
Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).
                Understand the relationship between zeros and factors of polynomials.
Standard:
Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).
Standard Identifier: A-APR.3
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Arithmetic with Polynomials and Rational Expressions
                        
                    
                    
                        Discipline:
                        
                            Math III
                        
                    
            
                        Conceptual Category:
                        
                            Algebra
                        
                    
            Cluster:
Understand the relationship between zeros and factors of polynomials.
Standard:
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
                Understand the relationship between zeros and factors of polynomials.
Standard:
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
Standard Identifier: A-APR.3
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Arithmetic with Polynomials and Rational Expressions
                        
                    
                    
                        Discipline:
                        
                            Algebra II
                        
                    
            
                        Conceptual Category:
                        
                            Algebra
                        
                    
            Cluster:
Understand the relationship between zeros and factors of polynomials.
Standard:
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
                Understand the relationship between zeros and factors of polynomials.
Standard:
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
Standard Identifier: A-APR.4
                    Grade Range:
                    
                        9–12
                    
                
            
                        Domain:
                        
                            Arithmetic with Polynomials and Rational Expressions
                        
                    
                    
                        Discipline:
                        
                            Algebra II
                        
                    
            
                        Conceptual Category:
                        
                            Algebra
                        
                    
            Cluster:
Use polynomial identities to solve problems.
Standard:
Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x^2 + y^2)2= (x^2 – y^2)^2 + (2xy)^2 can be used to generate Pythagorean triples.
                Use polynomial identities to solve problems.
Standard:
Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x^2 + y^2)2= (x^2 – y^2)^2 + (2xy)^2 can be used to generate Pythagorean triples.
        Showing 31 - 40 of 68 Standards
    
        
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