### N-VM: Vector and Matrix Quantities

#### N-VM.8: Add and subtract vectors.

N-VM.8.a: Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.

N-VM.8.b: Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.

#### N-VM.9: Multiply a vector by a scalar.

N-VM.9.a: Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as 𝘤(𝘷ₓ, 𝘷 subscript 𝘺) = (𝘤𝘷ₓ, 𝘤𝘷 subscript 𝘺).

### F-CS: Conic Sections

#### F-CS.15: Create graphs of conic sections, including parabolas, hyperbolas, ellipses, circles, and degenerate conics, from second-degree equations.

F-CS.15.a: Formulate equations of conic sections from their determining characteristics.

### F-IF: Interpreting Functions

#### F-IF.18: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F-IF.18.a: Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

F-IF.18.b: Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

F-IF.18.c: Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

F-IF.18.d: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

### F-TF: Trigonometric Functions

#### F-TF.28: Utilize parametric equations by graphing and by converting to rectangular form.

F-TF.28.b: Solve applied problems that include sequences with recurrence relations.

### S-MD: Using Probability to Make Decisions

#### S-MD.54: Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values.

S-MD.54.a: Find the expected payoff for a game of chance.

S-MD.54.b: Evaluate and compare strategies on the basis of expected values.

Correlation last revised: 9/24/2019

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.