Mathematics Standards
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Conditional Probability and the Rules of Probability
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Expressions and Equations
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Making Inferences and Justifying Conclusions
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Number and Operations—Fractions
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The Complex Number System
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The Number System
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Using Probability to Make Decisions
Results
Showing 81 - 90 of 154 Standards
Standard Identifier: 8.NS.2
Grade:
8
Domain:
The Number System
Cluster:
Know that there are numbers that are not rational, and approximate them by rational numbers.
Standard:
Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g.,π^2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
Know that there are numbers that are not rational, and approximate them by rational numbers.
Standard:
Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g.,π^2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
Standard Identifier: N-CN.1
Grade Range:
8–12
Domain:
The Complex Number System
Discipline:
Math II
Conceptual Category:
Number and Quantity
Cluster:
Perform arithmetic operations with complex numbers. [i^2 as highest power of i]
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. [i^2 as highest power of i]
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:
8–12
Domain:
The Complex Number System
Discipline:
Math II
Conceptual Category:
Number and Quantity
Cluster:
Perform arithmetic operations with complex numbers. [i^2 as highest power of i]
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. [i^2 as highest power of i]
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:
8–12
Domain:
The Complex Number System
Discipline:
Math II
Conceptual Category:
Number and Quantity
Cluster:
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]
Standard:
Solve quadratic equations with real coefficients that have complex solutions.
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]
Standard:
Solve quadratic equations with real coefficients that have complex solutions.
Standard Identifier: N-CN.8
Grade Range:
8–12
Domain:
The Complex Number System
Discipline:
Math II
Conceptual Category:
Number and Quantity
Cluster:
Use complex numbers in polynomial identities and equations. [Quadratics 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. [Quadratics 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:
8–12
Domain:
The Complex Number System
Discipline:
Math II
Conceptual Category:
Number and Quantity
Cluster:
Use complex numbers in polynomial identities and equations. [Quadratics 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. [Quadratics with real coefficients]
Standard:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Standard Identifier: S-CP.1
Grade Range:
8–12
Domain:
Conditional Probability and the Rules of Probability
Discipline:
Math II
Conceptual Category:
Statistics and Probability
Cluster:
Understand independence and conditional probability and use them to interpret data. [Link to data from simulations or experiments.]
Standard:
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”). *
Understand independence and conditional probability and use them to interpret data. [Link to data from simulations or experiments.]
Standard:
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”). *
Standard Identifier: S-CP.1
Grade Range:
8–12
Domain:
Conditional Probability and the Rules of Probability
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Understand independence and conditional probability and use them to interpret data. [Link to data from simulations or experiments.]
Standard:
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”). *
Understand independence and conditional probability and use them to interpret data. [Link to data from simulations or experiments.]
Standard:
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”). *
Standard Identifier: S-CP.2
Grade Range:
8–12
Domain:
Conditional Probability and the Rules of Probability
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Understand independence and conditional probability and use them to interpret data. [Link to data from simulations or experiments.]
Standard:
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. *
Understand independence and conditional probability and use them to interpret data. [Link to data from simulations or experiments.]
Standard:
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. *
Standard Identifier: S-CP.2
Grade Range:
8–12
Domain:
Conditional Probability and the Rules of Probability
Discipline:
Math II
Conceptual Category:
Statistics and Probability
Cluster:
Understand independence and conditional probability and use them to interpret data. [Link to data from simulations or experiments.]
Standard:
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. *
Understand independence and conditional probability and use them to interpret data. [Link to data from simulations or experiments.]
Standard:
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. *
Showing 81 - 90 of 154 Standards
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