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Mathematics Standards




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Showing 31 - 40 of 75 Standards

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.

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.

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?

Standard Identifier: G-CO.1

Grade Range: 8–12
Domain: Congruence
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Experiment with transformations in the plane.

Standard:
Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

Standard Identifier: G-CO.10

Grade Range: 8–12
Domain: Congruence
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Prove geometric theorems. [Focus on validity of underlying reasoning while using variety of ways of writing proofs.]

Standard:
Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.

Standard Identifier: G-CO.10

Grade Range: 8–12
Domain: Congruence
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Prove geometric theorems. [Focus on validity of underlying reasoning while using variety of ways of writing proofs.]

Standard:
Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.

Standard Identifier: G-CO.11

Grade Range: 8–12
Domain: Congruence
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Prove geometric theorems. [Focus on validity of underlying reasoning while using variety of ways of writing proofs.]

Standard:
Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.

Standard Identifier: G-CO.11

Grade Range: 8–12
Domain: Congruence
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Prove geometric theorems. [Focus on validity of underlying reasoning while using variety of ways of writing proofs.]

Standard:
Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.

Standard Identifier: G-CO.12

Grade Range: 8–12
Domain: Congruence
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Make geometric constructions. [Formalize and explain processes.]

Standard:
Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.

Standard Identifier: G-CO.13

Grade Range: 8–12
Domain: Congruence
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Make geometric constructions. [Formalize and explain processes.]

Standard:
Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

Showing 31 - 40 of 75 Standards


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