Mathematics Standards
Results
Showing 61 - 70 of 71 Standards
Standard Identifier: 8.G.6
Grade:
8
Domain:
Geometry
Cluster:
Understand and apply the Pythagorean Theorem.
Standard:
Explain a proof of the Pythagorean Theorem and its converse.
Understand and apply the Pythagorean Theorem.
Standard:
Explain a proof of the Pythagorean Theorem and its converse.
Standard Identifier: 8.G.7
Grade:
8
Domain:
Geometry
Cluster:
Understand and apply the Pythagorean Theorem.
Standard:
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
Understand and apply the Pythagorean Theorem.
Standard:
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
Standard Identifier: 8.G.8
Grade:
8
Domain:
Geometry
Cluster:
Understand and apply the Pythagorean Theorem.
Standard:
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Understand and apply the Pythagorean Theorem.
Standard:
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Standard Identifier: 8.G.9
Grade:
8
Domain:
Geometry
Cluster:
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
Standard:
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
Standard:
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
Standard Identifier: 8.SP.1
Grade:
8
Domain:
Statistics and Probability
Cluster:
Investigate patterns of association in bivariate data.
Standard:
Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
Investigate patterns of association in bivariate data.
Standard:
Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
Standard Identifier: 8.SP.2
Grade:
8
Domain:
Statistics and Probability
Cluster:
Investigate patterns of association in bivariate data.
Standard:
Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.
Investigate patterns of association in bivariate data.
Standard:
Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.
Standard Identifier: 8.SP.3
Grade:
8
Domain:
Statistics and Probability
Cluster:
Investigate patterns of association in bivariate data.
Standard:
Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.
Investigate patterns of association in bivariate data.
Standard:
Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.
Standard Identifier: 8.SP.4
Grade:
8
Domain:
Statistics and Probability
Cluster:
Investigate patterns of association in bivariate data.
Standard:
Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. For example, collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores?
Investigate patterns of association in bivariate data.
Standard:
Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. For example, collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores?
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.
Showing 61 - 70 of 71 Standards
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