Gizmos for Oklahoma - Mathematics: Geometry (OK--Academic Standards adopted 2016)

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

G.RL: : Geometry: Reasoning & Logic

G.RL.1: : Use appropriate tools and logic to evaluate mathematical arguments.

G.RL.1.1: : Understand the use of undefined terms, definitions, postulates, and theorems in logical arguments/proofs.

G.RL.1.2: : Analyze and draw conclusions based on a set of conditions using inductive and deductive reasoning. Recognize the logical relationships between a conditional statement and its inverse, converse, and contrapositive.

G.RL.1.3: : Assess the validity of a logical argument and give counterexamples to disprove a statement.

G.2D: : Geometry: Two-Dimensional Shapes

G.2D.1: : Discover, evaluate and analyze the relationships between lines, angles, and polygons to solve real-world and mathematical problems; express proofs in a form that clearly justifies the reasoning, such as two-column proofs, paragraph proofs, flow charts, or illustrations.

G.2D.1.1: : Apply the properties of parallel and perpendicular lines, including properties of angles formed by a transversal, to solve real-world and mathematical problems and determine if two lines are parallel, using algebraic reasoning and proofs.

G.2D.1.2: : Apply the properties of angles, including corresponding, exterior, interior, vertical, complementary, and supplementary angles to solve real-world and mathematical problems using algebraic reasoning and proofs.

G.2D.1.4: : Apply the properties of special quadrilaterals (square, rectangle, trapezoid, isosceles trapezoid, rhombus, kite, parallelogram) and use them to solve real-world and mathematical problems involving angle measures and segment lengths using algebraic reasoning and proofs.

G.2D.1.5: : Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints, and slopes of line segments.

G.2D.1.6: : Apply the properties of polygons to solve real-world and mathematical problems involving perimeter and area (e.g., triangles, special quadrilaterals, regular polygons up to 12 sides, composite figures).

G.2D.1.8: : Construct logical arguments to prove triangle congruence (SSS, SAS, ASA, AAS and HL) and triangle similarity (AA, SSS, SAS).

G.2D.1.9: : Use numeric, graphic and algebraic representations of transformations in two dimensions, such as reflections, translations, dilations, and rotations about the origin by multiples of 90°, to solve problems involving figures on a coordinate plane and identify types of symmetry.

G.3D: : Geometry: Three-Dimensional Shapes

G.3D.1: : Solve real-world and mathematical problems involving three-dimensional figures.

G.3D.1.1: : Solve real-world and mathematical problems using the surface area and volume of prisms, cylinders, pyramids, cones, spheres, and composites of these figures. Use nets, measuring devices, or formulas as appropriate.

G.C: : Geometry: Circles

G.C.1: : Solve real-world and mathematical problems using the properties of circles.

G.C.1.3: : Recognize and write the radius r, center (h, k), and standard form of the equation of a circle (x − h)² + (y − k)² = r² with and without graphs.

G.C.1.4: : Apply the distance and midpoint formula, where appropriate, to develop the equation of a circle in standard form.

G.RT: : Geometry: Right Triangle Trigonometry

G.RT.1: : Develop and verify mathematical relationships of right triangles and trigonometric ratios to solve real-world and mathematical problems.

G.RT.1.4: : Apply the trigonometric functions as ratios (sine, cosine, and tangent) to find side lengths in right triangles in real-world and mathematical problems.

Correlation last revised: 9/16/2020

Oklahoma - Mathematics: Geometry

OK--Academic Standards | Adopted: 2016

G.RL: : Geometry: Reasoning & Logic

G.2D: : Geometry: Two-Dimensional Shapes

G.3D: : Geometry: Three-Dimensional Shapes

G.C: : Geometry: Circles

G.RT: : Geometry: Right Triangle Trigonometry