OK--Academic Standards

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

Biconditional Statements

Investigating Angle Theorems

Isosceles and Equilateral Triangles

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.

Biconditional Statements

Conditional Statements

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

Biconditional Statements

Conditional Statements

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.

Constructing Congruent Segments and Angles

Constructing Parallel and Perpendicular Lines

Parallel, Intersecting, and Skew Lines

Triangle Angle Sum

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.

Congruence in Right Triangles

Proving Triangles Congruent

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.

Classifying Quadrilaterals

Parallelogram Conditions

Special Parallelograms

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).

Perimeter and Area of Rectangles

Perimeters and Areas of Similar Figures

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

Congruence in Right Triangles

Proving Triangles Congruent

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.

Dilations

Rotations, Reflections, and Translations

Translations

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.

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

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.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.

Cosine Function

Sine Function

Sine, Cosine, and Tangent Ratios

Tangent Function

Correlation last revised: 9/16/2020

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