Standards

G.1.D: Write the converse, inverse, and contrapositive of a valid proposition and determine their validity.

Biconditional Statements

Conditional Statements

G.2.B: Know, prove, and apply theorems about angles, including angles that arise from parallel lines intersected by a transversal

G.2.C: Explain and perform basic compass and straightedge constructions related to parallel and perpendicular lines.

Constructing Congruent Segments and Angles

Constructing Parallel and Perpendicular Lines

G.2.D: Describe the intersections of lines in the plane and in space, of lines and planes, and of planes in space.

Cat and Mouse (Modeling with Linear Systems)

Concurrent Lines, Medians, and Altitudes

Parallel, Intersecting, and Skew Lines

Solving Equations by Graphing Each Side

G.3.A: Know, explain, and apply basic postulates and theorems about triangles and the special lines, line segments, and rays associated with a triangle.

Isosceles and Equilateral Triangles

Triangle Inequalities

G.3.B: Determine and prove triangle congruence, triangle similarity, and other properties of triangles.

Congruence in Right Triangles

Proving Triangles Congruent

Similar Figures

Triangle Angle Sum

Triangle Inequalities

G.3.C: Use the properties of special right triangles (30°-60°-90° and 45°-45°-90°) to solve problems.

Cosine Function

Sine Function

Tangent Function

G.3.D: Know, prove, and apply the Pythagorean Theorem and its converse.

Circles

Cosine Function

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Sine Function

Surface and Lateral Areas of Pyramids and Cones

Tangent Function

G.3.E: Solve problems involving the basic trigonometric ratios of sine, cosine, and tangent.

Cosine Function

Sine Function

Sine, Cosine, and Tangent Ratios

Tangent Function

G.3.F: Know, prove, and apply basic theorems about parallelograms.

Parallelogram Conditions

Special Parallelograms

G.3.G: Know, prove, and apply theorems about properties of quadrilaterals and other polygons.

Parallelogram Conditions

Special Parallelograms

G.3.H: Know, prove, and apply basic theorems relating circles to tangents, chords, radii, secants, and inscribed angles.

Chords and Arcs

Inscribed Angles

G.3.J: Describe prisms, pyramids, parallelepipeds, tetrahedra, and regular polyhedra in terms of their faces, edges, vertices, and properties.

Pyramids and Cones

Surface and Lateral Areas of Pyramids and Cones

G.4.A: Determine the equation of a line in the coordinate plane that is described geometrically, including a line through two given points, a line through a given point parallel to a given line, and a line through a given point perpendicular to a given line.

Point-Slope Form of a Line

Points, Lines, and Equations

Slope

Slope-Intercept Form of a Line

G.4.D: Determine the equation of a circle that is described geometrically in the coordinate plane and, given equations for a circle and a line, determine the coordinates of their intersection(s).

G.5.A: Sketch results of transformations and compositions of transformations for a given two-dimensional figure on the coordinate plane, and describe the rule(s) for performing translations or for performing reflections about the coordinate axes or the line y = x.

Dilations

Rotations, Reflections, and Translations

Translations

G.5.B: Determine and apply properties of transformations.

Circles

Dilations

Reflections

Rotations, Reflections, and Translations

Translations

G.5.D: Describe the symmetries of two-dimensional figures and describe transformations, including reflections across a line and rotations about a point.

G.6.C: Apply formulas for surface area and volume of three-dimensional figures to solve problems.

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

Correlation last revised: 1/20/2017

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