South Carolina flagSouth Carolina: Geometry with Statistics Math Standards

36 standards · 4 domains

DATA, PROBABILITY, AND STATISTICAL REASONING

  • GS.DPSR.1.1 Represent data for two quantitative variables on a scatterplot and describe how the variables are related.
  • GS.DPSR.1.2 Use two representative points from the data to find an approximate line of fit and compare it to the line of best fit.
  • GS.DPSR.1.3 Conduct an investigation for a statistical question, interpret statistical significance in the context of a situation, and answer investigative questions appropriately.
  • GS.DPSR.2.1 Distinguish between correlation and causation.
  • GS.DPSR.3.1 Describe categories of events as subsets of a sample space using unions, intersections, or complements of other events.
  • GS.DPSR.3.2 Apply the Addition Rule to find the probability of both mutually exclusive and not mutually exclusive events and interpret the answers in context.
  • GS.DPSR.3.3 Apply the Multiplication Rule to determine the probability of independent events and interpret the answers in context.

MEASUREMENT, GEOMETRY, AND SPATIAL REASONING

  • GS.MGSR.1.1 Apply area and volume formulas of two- and three-dimensional figures to solve real-world situations.
  • GS.MGSR.1.2 Identify the shape of a two-dimensional cross-section of a three-dimensional figure.
  • GS.MGSR.1.3 Use cross-sections of three-dimensional figures to model and solve mathematical and real-world situations.
  • GS.MGSR.2.1 Describe the results of transformations on a given figure using geometric terminology from the definitions of the transformations.
  • GS.MGSR.2.2 Describe and apply a sequence of transformations that maps a preimage onto its image.
  • GS.MGSR.3.1 Identify types of symmetry of polygons, including line, point, rotational, and self-congruence, and use symmetry to analyze mathematical situations.
  • GS.MGSR.3.2 Demonstrate that triangles and quadrilaterals are congruent by a combination of translations, rotations, and reflections.
  • GS.MGSR.3.3 Recognize the criteria for showing triangles are congruent using a sequence of rigid motions that map one triangle to another and justify that the two triangles are congruent by applying the Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side, and Hypotenuse-Leg congruence conditions.
  • GS.MGSR.4.1 Demonstrate experimentally the properties of dilations given by a center and a scale factor.
  • GS.MGSR.4.2 Justify experimentally that a dilation of a line segment is longer or shorter, given the ratio.
  • GS.MGSR.4.3 Recognize that the criteria for showing triangles are similar using a similarity transformation that maps one figure to the other and justify the two triangles are similar by applying the Angle-Angle, Side-Side-Side, and Side-Angle-Side similarity conditions.
  • GS.MGSR.5.1 Justify and apply the attributes of angle relationships/lines in mathematical and real-world situations.
  • GS.MGSR.5.2 Apply the attributes of triangles in mathematical and real-world situations.
  • GS.MGSR.5.3 Apply the attributes of quadrilaterals, including diagonals, sides, and angles, to prove that a given quadrilateral is a parallelogram in mathematical and real-world situations.
  • GS.MGSR.6.1 Discover and apply the converse of the Pythagorean Theorem.
  • GS.MGSR.6.2 Discover and apply the constant ratios of the sides in 30-60-90 and 45-45-90 right triangles.
  • GS.MGSR.6.3 Define the trigonometric ratios using the properties of similar right triangles.
  • GS.MGSR.6.4 Determine the sine, cosine, and tangent of an acute angle in a right triangle in the context of mathematical and real-world situations.
  • GS.MGSR.6.5 Apply trigonometric ratios (sine, cosine, tangent) and the Pythagorean Theorem to solve right triangle problems in real-life situations.
  • GS.MGSR.7.1 Use angle and segment relationships in circles to solve mathematical and real-world situations.
  • GS.MGSR.7.2 Investigate and apply relationships in circles, inscribed angles, radii, secants, and chords; among inscribed angles, central angles, and circumscribed angles; and between radii and tangents to circles.

NUMERICAL REASONING

  • GS.NR.1.1 Rewrite numerical expressions of irrational and rational numbers involving radicals, including addition, subtraction, multiplication, and division, to recognize geometric patterns.

PATTERNS, ALGEBRA, AND FUNCTIONAL REASONING

  • GS.PAFR.1.1 Discover and apply the formulas for the length of an arc and the area of a sector in a circle to develop mathematical models and solve mathematical and real-world situations.
  • GS.PAFR.1.2 Analyze and apply the derivations of the formulas for the circumference of a circle, area of a circle, and volume of a cylinder, pyramid, and cone to model real phenomena and solve mathematical and real-world situations.
  • GS.PAFR.2.1 Apply surface area and volume formulas for prisms, cylinders, pyramids, cones, spheres, and/or compositions of figures to solve problems and justify results.
  • GS.PAFR.2.2 Analyze slopes of lines to determine whether lines are parallel, perpendicular, or neither.
  • GS.PAFR.2.3 Determine the equation of a line passing through a given point that is parallel or perpendicular to a given line.
  • GS.PAFR.3.1 Use coordinates to prove simple geometric theorems algebraically.
  • GS.PAFR.3.2 Determine distance and midpoint of segments in a coordinate plane to find areas of triangles and quadrilaterals, when given coordinates.