Gizmos for Virginia - Mathematics: Geometry (VA--Standards of Learning adopted 2016)

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

RLT: : Reasoning, Lines, and Transformations

RLT.G.1: : The student will use deductive reasoning to construct and judge the validity of a logical argument consisting of a set of premises and a conclusion. This will include

RLT.G.1.a: : identifying the converse, inverse, and contrapositive of a conditional statement;

RLT.G.1.c: : determining the validity of a logical argument.

RLT.G.3: : The student will solve problems involving symmetry and transformation. This will include

RLT.G.3.a: : investigating and using formulas for determining distance, midpoint, and slope;

RLT.G.3.c: : investigating symmetry and determining whether a figure is symmetric with respect to a line or a point; and

RLT.G.3.d: : determining whether a figure has been translated, reflected, rotated, or dilated, using coordinate methods.

RLT.G.4: : The student will construct and justify the constructions of

RLT.G.4.a: : a line segment congruent to a given line segment;

RLT.G.4.b: : the perpendicular bisector of a line segment;

RLT.G.4.c: : a perpendicular to a given line from a point not on the line;

RLT.G.4.d: : a perpendicular to a given line at a given point on the line;

RLT.G.4.f: : an angle congruent to a given angle;

RLT.G.4.g: : a line parallel to a given line through a point not on the line; and

RLT.G.4.h: : an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

T: : Triangles

T.G.5: : The student, given information concerning the lengths of sides and/or measures of angles in triangles, will solve problems, including practical problems. This will include

T.G.5.a: : ordering the sides by length, given angle measures;

T.G.5.b: : ordering the angles by degree measure, given side lengths;

T.G.5.c: : determining whether a triangle exists; and

T.G.5.d: : determining the range in which the length of the third side must lie.

T.G.6: : The student, given information in the form of a figure or statement, will prove two triangles are congruent.

T.G.7: : The student, given information in the form of a figure or statement, will prove two triangles are similar.

T.G.8: : The student will solve problems, including practical problems, involving right triangles. This will include applying

T.G.8.a: : the Pythagorean Theorem and its converse;

T.G.8.c: : trigonometric ratios.

PC: : Polygons and Circles

PC.G.9: : The student will verify and use properties of quadrilaterals to solve problems, including practical problems.

PC.G.10: : The student will solve problems, including practical problems, involving angles of convex polygons. This will include determining the

PC.G.10.a: : sum of the interior and/or exterior angles;

PC.G.10.b: : measure of an interior and/or exterior angle; and

PC.G.10.c: : number of sides of a regular polygon.

PC.G.11: : The student will solve problems, including practical problems, by applying properties of circles. This will include determining

PC.G.11.c: : arc length; and

PC.G.12: : The student will solve problems involving equations of circles.

TDF: : Three-Dimensional Figures

TDF.G.13: : The student will use surface area and volume of three-dimensional objects to solve practical problems.

TDF.G.14: : The student will apply the concepts of similarity to two- or three-dimensional geometric figures. This will include

TDF.G.14.a: : comparing ratios between lengths, perimeters, areas, and volumes of similar figures;

TDF.G.14.b: : determining how changes in one or more dimensions of a figure affect area and/or volume of the figure;

TDF.G.14.d: : solving problems, including practical problems, about similar geometric figures.

Correlation last revised: 9/16/2020

Virginia - Mathematics: Geometry

VA--Standards of Learning | Adopted: 2016

RLT: : Reasoning, Lines, and Transformations

T: : Triangles

PC: : Polygons and Circles

TDF: : Three-Dimensional Figures