Mathematics Standards
Results
Showing 51 - 60 of 79 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-MD.6
Grade Range:
8–12
Domain:
Using Probability to Make Decisions
Discipline:
Math II
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Standard Identifier: S-MD.6
Grade Range:
8–12
Domain:
Using Probability to Make Decisions
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *
Standard Identifier: S-MD.7
Grade Range:
8–12
Domain:
Using Probability to Make Decisions
Discipline:
Geometry
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
Standard Identifier: S-MD.7
Grade Range:
8–12
Domain:
Using Probability to Make Decisions
Discipline:
Math II
Conceptual Category:
Statistics and Probability
Cluster:
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
Use probability to evaluate outcomes of decisions. [Introductory; apply counting rules.]
Standard:
(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). *
Showing 51 - 60 of 79 Standards
Questions: Curriculum Frameworks and Instructional Resources Division |
CFIRD@cde.ca.gov | 916-319-0881