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Showing 41 - 50 of 71 Standards

Standard Identifier: F-LE.6

Grade Range: 7–12
Domain: Linear, Quadratic, and Exponential Models
Discipline: Algebra I
Conceptual Category: Functions

Cluster:
Interpret expressions for functions in terms of the situation they model.

Standard:
Apply quadratic functions to physical problems, such as the motion of an object under the force of gravity. CA *

Standard Identifier: A-REI.4.a

Grade Range: 8–12
Domain: Reasoning with Equations and Inequalities
Discipline: Math II
Conceptual Category: Algebra

Cluster:
Solve equations and inequalities in one variable. [Quadratics with real coefficients]

Standard:
Solve quadratic equations in one variable. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)^2 = q that has the same solutions. Derive the quadratic formula from this form.

Standard Identifier: A-REI.4.b

Grade Range: 8–12
Domain: Reasoning with Equations and Inequalities
Discipline: Math II
Conceptual Category: Algebra

Cluster:
Solve equations and inequalities in one variable. [Quadratics with real coefficients]

Standard:
Solve quadratic equations in one variable. Solve quadratic equations by inspection (e.g., for x^2 = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.

Standard Identifier: A-REI.7

Grade Range: 8–12
Domain: Reasoning with Equations and Inequalities
Discipline: Math II
Conceptual Category: Algebra

Cluster:
Solve systems of equations. [Linear-quadratic systems]

Standard:
Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x^2 + y^2 = 3.

Standard Identifier: F-LE.3

Grade Range: 8–12
Domain: Linear, Quadratic, and Exponential Models
Discipline: Math II
Conceptual Category: Functions

Cluster:
Construct and compare linear, quadratic, and exponential models and solve problems. [Include quadratic.]

Standard:
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. *

Standard Identifier: F-LE.6

Grade Range: 8–12
Domain: Linear, Quadratic, and Exponential Models
Discipline: Math II
Conceptual Category: Functions

Cluster:
Interpret expressions for functions in terms of the situation they model.

Standard:
Apply quadratic functions to physical problems, such as the motion of an object under the force of gravity. CA *

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.

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.

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.

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).

Showing 41 - 50 of 71 Standards


Questions: Curriculum Frameworks and Instructional Resources Division | CFIRD@cde.ca.gov | 916-319-0881