## Status message

Dear LOR user,

Thank you for being a big part of this community. To better support the initiatives around open educational resources in the state of Michigan, all resources on the Michigan Virtual Learning Object Repository (LOR) are being moved to #GoOpen Michigan (link is external) on September 30th, 2018. During the transition, our LOR will be moved to an archived state, not allowing new user registration or new content to be added. An email with more details was sent to registered users of the LOR in September. To make use of the great resources on the platform, we encourage you to create an account and add your own new resources to the #GoOpen Michigan platform (link is external).

# Standards: Math

(2)
Reason quantitatively and use units to solve problems.
Education Level: 9-12
Description:

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.*

(2)
Reason quantitatively and use units to solve problems.
Education Level: 9-12
Description:

Define appropriate quantities for the purpose of descriptive modeling.*

(1)
Reason quantitatively and use units to solve problems.
Education Level: 9-12
Description:

Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.*

(0)
Extend the properties of exponents to rational exponents.
Education Level: 9-12
Description:

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. For example, we define 5^(1/3) to be the cube root of 5 because we want [5^(1/3)]^3 = 5^[(1/3) x 3] to hold, so [5^(1/3)]^3 must equal 5.

(2)
Extend the properties of exponents to rational exponents.
Education Level: 9-12
Description:

Rewrite expressions involving radicals and rational exponents using the properties of exponents.

(0)
Use properties of rational and irrational numbers.
Education Level: 9-12
Description:

Explain why the sum or product of rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

(0)
Represent and model with vector quantities.
Education Level: 9-12
Description:

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(bold), |v|, ||v||, v(not bold)).

(0)
Perform operations on matrices and use matrices in applications.
Education Level: 9-12
Description:

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.

(0)
Perform operations on matrices and use matrices in applications.
Education Level: 9-12
Description:

Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of vectors.

(0)
Perform operations on matrices and use matrices in applications.
Education Level: 9-12
Description:

Work with 2 X 2 matrices as transformations of the plane, and interpret the absolute value of the determinant in terms of area.

(0)
Represent and model with vector quantities.
Education Level: 9-12
Description:

Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.

(0)
Represent and model with vector quantities.
Education Level: 9-12
Description:

Solve problems involving velocity and other quantities that can be represented by vectors.

(0)
Perform operations on vectors.
Education Level: 9-12
Description:

(0)
Perform operations on vectors.
Education Level: 9-12
Description:

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.

(0)
Perform operations on vectors.
Education Level: 9-12
Description:

Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.