The Common Core in Wisconsin

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Skills available for Wisconsin high school math standards

Standards are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practice that skill.

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N-CN The Complex Number System

N-VM Vector and Matrix Quantities

A-APR Arithmetic with Polynomials and Rational Expressions

A-REI Reasoning with Equations and Inequalities

F-IF Interpreting Functions

F-TF Trigonometric Functions

  • F.TF.A Extend the domain of the trigonometric functions of the unit circle.

  • F.TF.B Model periodic phenomena with trigonometric functions. (M)

    • M.F.TF.B.6 6. (+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.

    • M.F.TF.B.7 7. (+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.

  • F.TF.C Prove and apply trigonometric identities.

    • M.F.TF.C.9 9. (+) Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.

G-SRT Similarity, Right Triangles, and Trigonometry

G-GPE Expressing Geometric Properties

S-CP Conditional Probability and the Rules of Probability

S-MD Using Probability to Make Decisions

  • SP.MD.A Calculate expected values and use them to solve problems. (M)

    • M.SP.MD.A.1 (+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions.

    • M.SP.MD.A.2 (+) Calculate the expected value of a random variable; interpret it as the mean of the probability distribution.

    • M.SP.MD.A.3 (+) Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. For example, find the theoretical probability distribution for the number of correct answers obtained by guessing on all five questions of a multiple-choice test where each question has four choices, and find the expected grade under various grading schemes.

    • M.SP.MD.A.4 (+) Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected value. For example, find a current data distribution on the number of TV sets per household in the United States, and calculate the expected number of sets per household. How many TV sets would you expect to find in 100 randomly selected households?

  • SP.MD.B Use probability to evaluate outcomes of decisions. (M)

    • M.SP.MD.B.5 (+) Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values.

      • M.SP.MD.B.5a Find the expected payoff for a game of chance. For example, find the expected winnings from a state lottery ticket or a game at a fast-food restaurant.

      • M.SP.MD.B.5b Evaluate and compare strategies on the basis of expected values. For example, compare a high-deductible versus a low-deductible automobile insurance policy using various, but reasonable, chances of having a minor or a major accident.