Mathematics Standards
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Showing 61 - 70 of 76 Standards
Standard Identifier: 8.EE.7.b
Grade:
8
Domain:
Expressions and Equations
Cluster:
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Solve linear equations in one variable. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Solve linear equations in one variable. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
Standard Identifier: 8.EE.8.a
Grade:
8
Domain:
Expressions and Equations
Cluster:
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Analyze and solve pairs of simultaneous linear equations. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Analyze and solve pairs of simultaneous linear equations. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
Standard Identifier: 8.EE.8.b
Grade:
8
Domain:
Expressions and Equations
Cluster:
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Analyze and solve pairs of simultaneous linear equations. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Analyze and solve pairs of simultaneous linear equations. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
Standard Identifier: 8.EE.8.c
Grade:
8
Domain:
Expressions and Equations
Cluster:
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Analyze and solve pairs of simultaneous linear equations. Solve real-world and mathematical problems leading to to linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard:
Analyze and solve pairs of simultaneous linear equations. Solve real-world and mathematical problems leading to to linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
Standard Identifier: N-CN.1
Grade Range:
8–12
Domain:
The Complex Number System
Discipline:
Math II
Conceptual Category:
Number and Quantity
Cluster:
Perform arithmetic operations with complex numbers. [i^2 as highest power of i]
Standard:
Know there is a complex number i such that i^2 = −1, and every complex number has the form a + bi with a and b real.
Perform arithmetic operations with complex numbers. [i^2 as highest power of i]
Standard:
Know there is a complex number i such that i^2 = −1, and every complex number has the form a + bi with a and b real.
Standard Identifier: N-CN.2
Grade Range:
8–12
Domain:
The Complex Number System
Discipline:
Math II
Conceptual Category:
Number and Quantity
Cluster:
Perform arithmetic operations with complex numbers. [i^2 as highest power of i]
Standard:
Use the relation i^2 = −1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
Perform arithmetic operations with complex numbers. [i^2 as highest power of i]
Standard:
Use the relation i^2 = −1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
Standard Identifier: N-CN.7
Grade Range:
8–12
Domain:
The Complex Number System
Discipline:
Math II
Conceptual Category:
Number and Quantity
Cluster:
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]
Standard:
Solve quadratic equations with real coefficients that have complex solutions.
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]
Standard:
Solve quadratic equations with real coefficients that have complex solutions.
Standard Identifier: N-CN.8
Grade Range:
8–12
Domain:
The Complex Number System
Discipline:
Math II
Conceptual Category:
Number and Quantity
Cluster:
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]
Standard:
(+) Extend polynomial identities to the complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i).
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]
Standard:
(+) Extend polynomial identities to the complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i).
Standard Identifier: N-CN.9
Grade Range:
8–12
Domain:
The Complex Number System
Discipline:
Math II
Conceptual Category:
Number and Quantity
Cluster:
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]
Standard:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]
Standard:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Standard Identifier: N-CN.1
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Algebra II
Conceptual Category:
Number and Quantity
Cluster:
Perform arithmetic operations with complex numbers.
Standard:
Know there is a complex number i such that i^2 = −1, and every complex number has the form a + bi with a and b real.
Perform arithmetic operations with complex numbers.
Standard:
Know there is a complex number i such that i^2 = −1, and every complex number has the form a + bi with a and b real.
Showing 61 - 70 of 76 Standards
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