Gizmos for Rhode Island - Mathematics: Number and Quantity (Core Standards adopted 2021)

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

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

N-Q: : Quantities

N-Q.A: : Reason quantitatively and use units to solve problems.

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

N-Q.A.3.a: : Describe the effects of approximate error in measurement and rounding on measurements and on computed values from measurements. Identify significant figures in recorded measures and computed values based on the context given and the precision of the tools used to measure.

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 i² = –1, and every complex number has the form a + bi with a and b real.

N-CN.A.2: : Use the relation i² = –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 moduli 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 modulus 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-CN.C.8: : Extend polynomial identities to the complex numbers.

N-VM: : Vector 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: : 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.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: 6/20/2022

Rhode Island - Mathematics: Number and Quantity

Core Standards | Adopted: 2021

N-RN: : The Real Number System

N-Q: : Quantities

N-CN: : The Complex Number System

N-VM: : Vector and Matrix Quantities