Mathematics Standards
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Making Inferences and Justifying Conclusions
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Quantities
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Similarity, Right Triangles, and Trigonometry
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The Complex Number System
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The Number System
Results
Showing 1 - 10 of 11 Standards
Standard Identifier: N-CN.1
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Algebra II
Conceptual Category:
Number and Quantity
Cluster:
Perform arithmetic operations with complex numbers.
Standard:
Know there is a complex number i such that i^2 = −1, and every complex number has the form a + bi with a and b real.
Perform arithmetic operations with complex numbers.
Standard:
Know there is a complex number i such that i^2 = −1, and every complex number has the form a + bi with a and b real.
Standard Identifier: N-CN.2
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Algebra II
Conceptual Category:
Number and Quantity
Cluster:
Perform arithmetic operations with complex numbers.
Standard:
Use the relation i^2 = −1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
Perform arithmetic operations with complex numbers.
Standard:
Use the relation i^2 = −1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
Standard Identifier: N-CN.7
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Algebra II
Conceptual Category:
Number and Quantity
Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]
Standard:
Solve quadratic equations with real coefficients that have complex solutions.
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]
Standard:
Solve quadratic equations with real coefficients that have complex solutions.
Standard Identifier: N-CN.8
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Algebra II
Conceptual Category:
Number and Quantity
Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]
Standard:
(+) Extend polynomial identities to the complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i).
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]
Standard:
(+) Extend polynomial identities to the complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i).
Standard Identifier: N-CN.9
Grade Range:
9–12
Domain:
The Complex Number System
Discipline:
Algebra II
Conceptual Category:
Number and Quantity
Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]
Standard:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients]
Standard:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Standard Identifier: S-IC.1
Grade Range:
9–12
Domain:
Making Inferences and Justifying Conclusions
Discipline:
Algebra II
Conceptual Category:
Statistics and Probability
Cluster:
Understand and evaluate random processes underlying statistical experiments.
Standard:
Understand statistics as a process for making inferences about population parameters based on a random sample from that population. *
Understand and evaluate random processes underlying statistical experiments.
Standard:
Understand statistics as a process for making inferences about population parameters based on a random sample from that population. *
Standard Identifier: S-IC.2
Grade Range:
9–12
Domain:
Making Inferences and Justifying Conclusions
Discipline:
Algebra II
Conceptual Category:
Statistics and Probability
Cluster:
Understand and evaluate random processes underlying statistical experiments.
Standard:
Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model? *
Understand and evaluate random processes underlying statistical experiments.
Standard:
Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model? *
Standard Identifier: S-IC.3
Grade Range:
9–12
Domain:
Making Inferences and Justifying Conclusions
Discipline:
Algebra II
Conceptual Category:
Statistics and Probability
Cluster:
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
Standard:
Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each. *
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
Standard:
Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each. *
Standard Identifier: S-IC.4
Grade Range:
9–12
Domain:
Making Inferences and Justifying Conclusions
Discipline:
Algebra II
Conceptual Category:
Statistics and Probability
Cluster:
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
Standard:
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. *
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
Standard:
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. *
Standard Identifier: S-IC.5
Grade Range:
9–12
Domain:
Making Inferences and Justifying Conclusions
Discipline:
Algebra II
Conceptual Category:
Statistics and Probability
Cluster:
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
Standard:
Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant. *
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
Standard:
Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant. *
Showing 1 - 10 of 11 Standards
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