Mathematics Standards
Results
Showing 41 - 50 of 111 Standards
Standard Identifier: G-SRT.6
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
Standard Identifier: G-SRT.7
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Explain and use the relationship between the sine and cosine of complementary angles.
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Explain and use the relationship between the sine and cosine of complementary angles.
Standard Identifier: G-SRT.8
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. *
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. *
Standard Identifier: G-SRT.8.1
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Derive and use the trigonometric ratios for special right triangles (30°, 60°, 90°and 45°, 45°, 90°). CA
Define trigonometric ratios and solve problems involving right triangles.
Standard:
Derive and use the trigonometric ratios for special right triangles (30°, 60°, 90°and 45°, 45°, 90°). CA
Standard Identifier: G-SRT.9
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Apply trigonometry to general triangles.
Standard:
(+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
Apply trigonometry to general triangles.
Standard:
(+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
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.3
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 the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B. *
Understand independence and conditional probability and use them to interpret data. [Link to data from simulations or experiments.]
Standard:
Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B. *
Standard Identifier: S-CP.4
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:
Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results. *
Understand independence and conditional probability and use them to interpret data. [Link to data from simulations or experiments.]
Standard:
Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results. *
Standard Identifier: S-CP.5
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:
Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. *
Understand independence and conditional probability and use them to interpret data. [Link to data from simulations or experiments.]
Standard:
Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. *
Showing 41 - 50 of 111 Standards
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