Gizmos for Michigan - Mathematics: High School: Number and Quantity (K-12 Standards adopted 2010)

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

Math.Content.HSN-RN: : The Real Number System

Math.Content.HSN-RN.A: : Extend the properties of exponents to rational exponents.

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

Math.Content.HSN-Q: : Quantities

Math.Content.HSN-Q.A: : Reason quantitatively and use units to solve problems.

Math.Content.HSN-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.

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

Math.Content.HSN-CN: : The Complex Number System

Math.Content.HSN-CN.A: : Perform arithmetic operations with complex numbers.

Math.Content.HSN-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.

Math.Content.HSN-CN.A.2: : Use the relation i² = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

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

Math.Content.HSN-CN.B: : Represent complex numbers and their operations on the complex plane.

Math.Content.HSN-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.

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

Math.Content.HSN-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.

Math.Content.HSN-CN.C: : Use complex numbers in polynomial identities and equations.

Math.Content.HSN-CN.C.7: : Solve quadratic equations with real coefficients that have complex solutions.

Math.Content.HSN-CN.C.8: : Extend polynomial identities to the complex numbers.

Math.Content.HSN-VM: : Vector and Matrix Quantities

Math.Content.HSN-VM.A: : Represent and model with vector quantities.

Math.Content.HSN-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).

Math.Content.HSN-VM.A.2: : Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.

Math.Content.HSN-VM.A.3: : Solve problems involving velocity and other quantities that can be represented by vectors.

Math.Content.HSN-VM.B: : Perform operations on vectors.

Math.Content.HSN-VM.B.4: : Add and subtract vectors.

Math.Content.HSN-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.

Math.Content.HSN-VM.C: : Perform operations on matrices and use matrices in applications.

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

Math.Content.HSN-VM.C.8: : Add, subtract, and multiply matrices of appropriate dimensions.

Math.Content.HSN-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.

Math.Content.HSN-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: 8/22/2022

Michigan - Mathematics: High School: Number and Quantity

K-12 Standards | Adopted: 2010

Math.Content.HSN-RN: : The Real Number System

Math.Content.HSN-Q: : Quantities

Math.Content.HSN-CN: : The Complex Number System

Math.Content.HSN-VM: : Vector and Matrix Quantities