## 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 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.

# Standards: Math

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

Understand vector subtraction v – w as v + (–w), where (–w) is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.

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

Multiply a vector by a scalar.

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

Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(v(sub x), v(sub y)) = (cv(sub x), cv(sub y)).

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

Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v. Compute the direction of cv knowing that when |c|v ≠ 0, the direction of cv is either along v (for c > 0) or against v (for c < 0).

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

Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in a network.

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

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

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

Add, subtract, and multiply matrices of appropriate dimensions.

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

Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties.

(1)
Understand independence and conditional probability and use them to interpret data.
Education Level: 9-12
Description:

Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).*

(1)
Understand independence and conditional probability and use them to interpret data.
Education Level: 9-12
Description:

Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.*

(0)
Understand independence and conditional probability and use them to interpret data.
Education Level: 9-12
Description:

Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.*

(1)
Understand independence and conditional probability and use them to interpret data.
Education Level: 9-12
Description:

Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results.*

(1)
Understand independence and conditional probability and use them to interpret data.
Education Level: 9-12
Description:

Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. For example, compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer.*

(0)
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Education Level: 9-12
Description:

Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model.*

(1)
Use the rules of probability to compute probabilities of compound events in a uniform probability model.
Education Level: 9-12
Description:

Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model.*