Gizmos for Idaho - Mathematics: Number and Quantity (Content Standards adopted 2022)

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

N.CN: : The Complex Number System

N.CN.A: : Perform arithmetic operations with complex numbers.

N.CN.A.1: : Know there is a complex number i such that i^2 = -1, and show that every complex number has the form a + bi where a and b real.

N.CN.A.2: : Use the relation i^2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

N.CN.A.3: : Find the conjugate of a complex number; use conjugates to find absolute value and quotients of complex numbers.

N.CN.B: : Represent complex numbers and their operations on the complex plane.

N.CN.B.4: : Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.

N.CN.B.5: : Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation.

N.CN.B.6: : Calculate the distance between numbers in the complex plane as the absolute value of the difference, and the midpoint of a segment as the average of the numbers at its endpoints.

N.CN.C: : Use complex numbers in polynomial identities and equations.

N.CN.C.7: : Solve quadratic equations with real coefficients that have complex solutions.

N.VM: : Vectors and Matrix Quantities

N.VM.A: : Represent and model with vector quantities.

N.VM.A.1: : Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v, |v|, ||v||, v).

N.VM.A.2: : Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.

N.VM.A.3: : Solve problems involving velocity and other quantities that can be represented by vectors.

N.VM.B: : Perform operations on vectors.

N.VM.B.4: : Add and subtract vectors.

N.VM.B.4.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.C: : Perform operations on matrices and use matrices in applications.

N.VM.C.7: : Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled.

N.VM.C.8: : Add, subtract, and multiply matrices of appropriate dimensions.

N.VM.C.10: : Demonstrate understanding that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse.

N.VM.C.12: : Work with 2 × 2 matrices as transformations of the plane, and interpret the absolute value of the determinant in terms of area.

Correlation last revised: 2/28/2022

Idaho - Mathematics: Number and Quantity

Content Standards | Adopted: 2022

N.CN: : The Complex Number System

N.VM: : Vectors and Matrix Quantities