Gizmos for South Carolina - Mathematics: Geometry with Statistics (2025 College- and Career-Ready Standards adopted 2023)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

GS.MPS: : Mathematical Process Standards

GS.MPS.PS: : PROBLEM SOLVING

GS.MPS.PS.1: : Make sense of problems and persevere in solving them strategically.

GS.MPS.RC: : REPRESENTATION & COMMUNICATION

GS.MPS.RC.1: : Explain ideas using precise and contextually appropriate mathematical language, tools, and models.

GS.MPS.C: : CONNECTIONS

GS.MPS.C.1: : Demonstrate a deep and flexible conceptual understanding of mathematical ideas, operations, and relationships while making real-world connections.

GS.MPS.AJ: : ANALYZE & JUSTIFY

GS.MPS.AJ.1: : Use critical thinking skills to reason both abstractly and quantitatively.

GS.MPS.SP: : STRUCTURE & PATTERNS

GS.MPS.SP.1: : Identify and apply regularity in repeated reasoning to make generalizations.

GS.DPSR: : Data, Probability, and Statistical Reasoning

GS.DPSR.1: : Summarize, represent, and interpret data on two categorical and quantitative variables.

GS.DPSR.1.1: : Represent data for two quantitative variables on a scatter plot and describe how the variables are related.

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: : Analyze and interpret models for two quantitative variables.

GS.DPSR.2.1: : Distinguish between correlation and causation.

GS.DPSR.3: : Solve problems involving the probability of compound events in real-world situations.

GS.DPSR.3.3: : Apply the Multiplication Rule to determine the probability of independent events and interpret the answers in context.

GS.MGSR: : Measurement, Geometry, and Spatial Reasoning

GS.MGSR.1: : Compute area and volume of figures by determining how the figure might be obtained from simpler figures by dissection and recombination.

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.2: : Apply rigid geometric transformations to figures, describing their attributes and symmetries.

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: : Determine that two figures are congruent by demonstrating that a rigid motion or a sequence of rigid motions maps one figure onto the other.

GS.MGSR.3.2: : Demonstrate that triangles and quadrilaterals are congruent by a combination of translations, rotations, and reflections.

GS.MGSR.4: : Determine that two figures are similar by demonstrating a similarity transformation or a sequence of similarity transformations that maps one figure onto the other.

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: : Demonstrate whether a conjecture or theorem is true or false using a variety of algebraic and geometric explanations.

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: : Discover and apply relationships in similar right triangles.

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: : Investigate and apply relationships among segments and angles in circles.

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.

GS.NR: : Numerical Reasoning

GS.NR.1: : Represent all points on the number line as irrational and rational numbers in the real number system.

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

GS.PAFR: : Patterns, Algebra, and Functional Reasoning

GS.PAFR.1: : Analyze the structure of an equation or inequality to determine an efficient strategy to find a solution, if one exists, then justify the solution.

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: : Interpret the structure of expressions, equations, and inequalities to analyze and make predictions in different contexts.

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.3: : Determine the exact or approximate solutions of equations and inequalities using graphs on the coordinate plane.

GS.PAFR.3.1: : Use coordinates to prove simple geometric theorems algebraically.

Correlation last revised: 8/22/2024

South Carolina - Mathematics: Geometry with Statistics

2025 College- and Career-Ready Standards | Adopted: 2023

GS.MPS: : Mathematical Process Standards

GS.DPSR: : Data, Probability, and Statistical Reasoning

GS.MGSR: : Measurement, Geometry, and Spatial Reasoning

GS.NR: : Numerical Reasoning

GS.PAFR: : Patterns, Algebra, and Functional Reasoning