New Jersey
Skills available for New Jersey 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.
Show alignments for:
- New Jersey Student Learning Standards (adopted in 2023): Algebra 1 New Jersey Student Learning Standards (adopted in 2023): Algebra 1
- New Jersey Student Learning Standards (adopted in 2023): Algebra 2 New Jersey Student Learning Standards (adopted in 2023): Algebra 2
- New Jersey Student Learning Standards (adopted in 2023): Geometry New Jersey Student Learning Standards (adopted in 2023): Geometry
- New Jersey Student Learning Standards (adopted in 2023): Integrated Math 1 New Jersey Student Learning Standards (adopted in 2023): Integrated Math 1
- New Jersey Student Learning Standards (adopted in 2023): Integrated Math 2 New Jersey Student Learning Standards (adopted in 2023): Integrated Math 2
- New Jersey Student Learning Standards (adopted in 2023): Integrated Math 3 New Jersey Student Learning Standards (adopted in 2023): Integrated Math 3
- New Jersey Student Learning Standards (adopted in 2023): Mathematical Practices New Jersey Student Learning Standards (adopted in 2023): Mathematical Practices
- New Jersey Student Learning Standards (adopted in 2023): Precalculus New Jersey Student Learning Standards (adopted in 2023): Precalculus
- New Jersey Student Learning Standards (adopted in 2023): Probability and Statistics New Jersey Student Learning Standards (adopted in 2023): Probability and Statistics
- Student Learning Standards: Algebra 1 Student Learning Standards: Algebra 1
- Student Learning Standards: Algebra 2 Student Learning Standards: Algebra 2
- Student Learning Standards: All High School Pathways Student Learning Standards: All High School Pathways
- Student Learning Standards: Geometry Student Learning Standards: Geometry
- Student Learning Standards: Mathematics I Student Learning Standards: Mathematics I
- Student Learning Standards: Mathematics II Student Learning Standards: Mathematics II
- Student Learning Standards: Mathematics III Student Learning Standards: Mathematics III
- Student Learning Standards: Precalculus Student Learning Standards: Precalculus
Actions
S.CP Conditional Probability and the Rules of Probability
-
S.CP.A Understand independence and conditional probability and use them to interpret data.
-
S.CP.A.1 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").
-
S.CP.A.2 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.
-
S.CP.A.3 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.
-
S.CP.A.4 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.
-
S.CP.A.5 Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.
-
-
S.CP.B Use the rules of probability to compute probabilities of compound events in a uniform probability model.
-
S.CP.B.6 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.
-
S.CP.B.7 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.
-
S.CP.B.8 Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model.
-
S.CP.B.9 Use permutations and combinations to compute probabilities of compound events and solve problems.
-
S.MD Using Probability to Make Decisions
-
S.MD.A Calculate expected values and use them to solve problems.
-
S.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.
-
S.MD.A.2 Calculate the expected value of a random variable; interpret it as the mean of the probability distribution.
-
S.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.
-
S.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.
-
-
S.MD.B Use probability to evaluate outcomes of decisions.
-
S.MD.B.5 Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values.
-
S.MD.B.5.a Find the expected payoff for a game of chance.
-
S.MD.B.5.b Evaluate and compare strategies on the basis of expected values.
-
-
S.MD.B.6 Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator).
-
S.MD.B.7 Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game).
-
S.IC Making Inferences and Justifying Conclusions
-
S.IC.A Understand and evaluate random processes underlying statistical experiments.
-
S.IC.A.1 Understand statistics as a process for making inferences about population parameters based on a random sample from that population.
-
S.IC.A.2 Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation.
-
-
S.IC.B Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
-
S.IC.B.3 Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each.
-
S.IC.B.4 Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.
-
S.IC.B.5 Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.
-
S.IC.B.6 Evaluate reports based on data.
-