Gizmos for California - Mathematics: High School: Number and Quantity (California Standards adopted 2014)

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

N-RN: : The Real Number System

N-RN.1: : Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.

N-CN: : The Complex Number System

N-CN.1: : Know there is a complex number i such that i² = -1, and every complex number has the form a + bi with a and b real.

N-CN.2: : Use the relation i² = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

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

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

N-VM: : Vector and Matrix Quantities

N-VM.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., ??, |??|, ||??||, ??).

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

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

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

N-VM.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.4.b: : Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.

N-VM.5: : Multiply a vector by a scalar.

N-VM.5.a: : Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(???, ?? subscript y) = (c???, c?? subscript y).

N-VM.10: : Understand 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.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: 12/27/2023

California - Mathematics: High School: Number and Quantity

California Standards | Adopted: 2014

N-RN: : The Real Number System

N-CN: : The Complex Number System

N-VM: : Vector and Matrix Quantities