Gizmos for California - Mathematics: High School: Number and Quantity (Common Core State 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

1.1: : Extend the properties of exponents to rational exponents.

N-RN.2: : Rewrite expressions involving radicals and rational exponents using the properties of exponents.

N-Q: : Quantities

2.1: : Reason quantitatively and use units to solve problems.

N-Q.1: : Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.

N-Q.3: : Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

N-CN: : The Complex Number System

3.1: : Perform arithmetic operations with complex numbers.

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.

3.2: : Represent complex numbers and their operations on the complex plane.

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

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

3.3: : Use complex numbers in polynomial identities and equations.

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

N-CN.8: : Extend polynomial identities to the complex numbers.

N-VM: : Vector and Matrix Quantities

4.1: : Represent and model with vector 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., v, |v|, ||v||, v).

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.

4.2: : Perform operations on 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.

4.3: : Perform operations on matrices and use matrices in applications.

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

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

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

Common Core State Standards | Adopted: 2014

N-RN: : The Real Number System

N-Q: : Quantities

N-CN: : The Complex Number System

N-VM: : Vector and Matrix Quantities