Gizmos for Tennessee - Mathematics: Geometry (Academic Standards adopted 2021)

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

2: : Geometry

G.G.CO: : Congruence

G.G.CO.A: : Experiment with transformations in the plane.

G.CO.A.1: : Describe transformations as functions that take points in the plane (pre-image) as inputs and give other points (image) as outputs. Compare transformations that preserve distance and angle measure to those that do not, by hand for basic transformations and using technology for more complex cases.

G.CO.A.2: : Given a rectangle, parallelogram, trapezoid, or regular polygon, determine the transformations that carry the shape onto itself and describe them in terms of the symmetry of the figure.

G.CO.A.3: : Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

G.CO.A.4: : Given a geometric figure, draw the image of the figure after a sequence of one or more rigid motions, by hand and using technology. Identify a sequence of rigid motions that will carry a given figure onto another.

G.G.CO.C: : Use geometric theorems to justify relationships.

G.CO.C.8: : Use definitions and theorems about lines and angles to solve problems and to justify relationships in geometric figures.

G.CO.C.9: : Use definitions and theorems about triangles to solve problems and to justify relationships in geometric figures.

G.CO.C.10: : Use definitions and theorems about parallelograms to solve problems and to justify relationships in geometric figures.

G.G.CO.D: : Perform geometric constructions.

G.CO.D.11: : Perform formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).

G.G.SRT: : Similarity, Right Triangles, and Trigonometry

G.G.SRT.A: : Understand similarity in terms of similarity transformations.

G.SRT.A.1: : Use properties of dilations given by a center and a scale factor to solve problems and to justify relationships in geometric figures.

G.SRT.A.2: : Define similarity in terms of transformations. Use transformations to determine whether two figures are similar.

G.G.SRT.B: : Use similarity to solve problems and justify relationships.

G.SRT.B.3: : Use congruence and similarity criteria for triangles to solve problems and to justify relationships in geometric figures.

G.G.SRT.C: : Define trigonometric ratios and solve problems involving triangles.

G.SRT.C.4: : Use side ratios in right triangles to define trigonometric ratios.

G.SRT.C.4a: : 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.

G.SRT.C.4b: : Explain and use the relationship between the sine and cosine of complementary angles.

G.SRT.C.5: : Solve triangles.

G.SRT.C.5a: : Know and use the Pythagorean Theorem and trigonometric ratios (sine, cosine, tangent, and their inverses) to solve right triangles in a real-world context.

G.G.GPE: : Expressing Geometric Properties with Equations

G.G.GPE.A: : Use coordinates to solve problems and justify simple geometric theorems algebraically.

G.GPE.A.1: : Use coordinates to justify geometric relationships algebraically and to solve problems.

G.GPE.A.3: : Understand the relationship between the Pythagorean Theorem and the distance formula and use an efficient method to solve problems on the coordinate plane.

G.G.GMD: : Geometric Measurement and Dimension

G.G.GMD.A: : Explain volume and surface area formulas and use them to solve problems.

G.GMD.A.1: : Understand and explain the formulas for the volume and surface area of a cylinder, cone, prism, and pyramid.

G.GMD.A.2: : Use volume and surface area formulas for cylinders, cones, prisms, pyramids, and spheres to solve problems in a real-world context.

3: : Statistics and Probability

G.S.CP: : Conditional Probability and the Rules of Probability

G.S.CP.B: : Use the rules of probability to compute probabilities of compound events in a uniform probability model.

G.S.CP.B.2: : Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A and interpret the answer in terms of the given context.

G.S.CP.C: : Apply geometric concepts to situations involving probability.

G.S.CP.C.4: : Calculate probabilities using geometric figures.

Correlation last revised: 4/17/2023

Tennessee - Mathematics: Geometry

Academic Standards | Adopted: 2021

2: : Geometry

3: : Statistics and Probability