Mathematics Standards
Remove this criterion from the search
Add a Domain
Remove this criterion from the search
Circles
Remove this criterion from the search
Expressing Geometric Properties with Equations
Remove this criterion from the search
Functions
Remove this criterion from the search
Interpreting Categorical and Quantitative Data
Remove this criterion from the search
The Real Number System
Results
Showing 51 - 60 of 69 Standards
Standard Identifier: G-GPE.7
Grade Range:
8–12
Domain:
Expressing Geometric Properties with Equations
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Use coordinates to prove simple geometric theorems algebraically. [Include distance formula; relate to Pythagorean Theorem.]
Standard:
Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. *
Use coordinates to prove simple geometric theorems algebraically. [Include distance formula; relate to Pythagorean Theorem.]
Standard:
Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. *
Standard Identifier: N-RN.1
Grade Range:
8–12
Domain:
The Real Number System
Discipline:
Math II
Conceptual Category:
Number and Quantity
Cluster:
Extend the properties of exponents to rational exponents.
Standard:
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5(^1/3)^3 to hold, so (5^1/3)^3 must equal 5.
Extend the properties of exponents to rational exponents.
Standard:
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5(^1/3)^3 to hold, so (5^1/3)^3 must equal 5.
Standard Identifier: N-RN.2
Grade Range:
8–12
Domain:
The Real Number System
Discipline:
Math II
Conceptual Category:
Number and Quantity
Cluster:
Extend the properties of exponents to rational exponents.
Standard:
Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Extend the properties of exponents to rational exponents.
Standard:
Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Standard Identifier: N-RN.3
Grade Range:
8–12
Domain:
The Real Number System
Discipline:
Math II
Conceptual Category:
Number and Quantity
Cluster:
Use properties of rational and irrational numbers.
Standard:
Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
Use properties of rational and irrational numbers.
Standard:
Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
Standard Identifier: G-GPE.3.1
Grade Range:
9–12
Domain:
Expressing Geometric Properties with Equations
Discipline:
Algebra II
Conceptual Category:
Geometry
Cluster:
Translate between the geometric description and the equation for a conic section.
Standard:
Given a quadratic equation of the form ax^2 + by^2 + cx + dy + e = 0, use the method for completing the square to put the equation into standard form; identify whether the graph of the equation is a circle, ellipse, parabola, or hyperbola and graph the equation. [In Algebra II, this standard addresses only circles and parabolas.] CA
Translate between the geometric description and the equation for a conic section.
Standard:
Given a quadratic equation of the form ax^2 + by^2 + cx + dy + e = 0, use the method for completing the square to put the equation into standard form; identify whether the graph of the equation is a circle, ellipse, parabola, or hyperbola and graph the equation. [In Algebra II, this standard addresses only circles and parabolas.] CA
Standard Identifier: G-GPE.3.1
Grade Range:
9–12
Domain:
Expressing Geometric Properties with Equations
Discipline:
Math III
Conceptual Category:
Geometry
Cluster:
Translate between the geometric description and the equation for a conic section.
Standard:
Given a quadratic equation of the form ax^2 + by^2 + cx + dy + e = 0, use the method for completing the square to put the equation into standard form; identify whether the graph of the equation is a circle, ellipse, parabola, or hyperbola and graph the equation. [In Algebra II, this standard addresses only circles and parabolas.] CA
Translate between the geometric description and the equation for a conic section.
Standard:
Given a quadratic equation of the form ax^2 + by^2 + cx + dy + e = 0, use the method for completing the square to put the equation into standard form; identify whether the graph of the equation is a circle, ellipse, parabola, or hyperbola and graph the equation. [In Algebra II, this standard addresses only circles and parabolas.] CA
Standard Identifier: S-ID.4
Grade Range:
9–12
Domain:
Interpreting Categorical and Quantitative Data
Discipline:
Math III
Conceptual Category:
Statistics and Probability
Cluster:
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. *
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. *
Standard Identifier: S-ID.4
Grade Range:
9–12
Domain:
Interpreting Categorical and Quantitative Data
Discipline:
Algebra II
Conceptual Category:
Statistics and Probability
Cluster:
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. *
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. *
Standard Identifier: S-ID.1
Grade Range:
10–12
Domain:
Interpreting Categorical and Quantitative Data
Discipline:
Statistics and Probability
Conceptual Category:
Statistics and Probability
Cluster:
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
Represent data with plots on the real number line (dot plots, histograms, and box plots). *
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
Represent data with plots on the real number line (dot plots, histograms, and box plots). *
Standard Identifier: S-ID.2
Grade Range:
10–12
Domain:
Interpreting Categorical and Quantitative Data
Discipline:
Statistics and Probability
Conceptual Category:
Statistics and Probability
Cluster:
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. *
Summarize, represent, and interpret data on a single count or measurement variable.
Standard:
Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. *
Showing 51 - 60 of 69 Standards
Questions: Curriculum Frameworks and Instructional Resources Division |
CFIRD@cde.ca.gov | 916-319-0881