ExploreLearning Gizmos: Math & Science Virtual Labs and Simulations

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

MA.912.D: : Discrete Mathematics

MA.912.D.6.2: : Find the converse, inverse, and contrapositive of a statement.

MA.912.D.6.3: : Determine whether two propositions are logically equivalent.

MA.912.D.6.4: : Use methods of direct and indirect proof and determine whether a short proof is logically valid.

MA.912.D.6: : Develop an understanding of the fundamentals of propositional logic, arguments, and methods of proof.

MA.912.D.6.2: : Find the converse, inverse, and contrapositive of a statement.

MA.912.D.6.3: : Determine whether two propositions are logically equivalent.

MA.912.D.6.4: : Use methods of direct and indirect proof and determine whether a short proof is logically valid.

MA.912.G: : Geometry

MA.912.G.1.3: : Identify and use the relationships between special pairs of angles formed by parallel lines and transversals.

MA.912.G.2.1: : Identify and describe convex, concave, regular, and irregular polygons.

MA.912.G.2.3: : Use properties of congruent and similar polygons to solve mathematical or real-world problems.

MA.912.G.2.4: : Apply transformations (translations, reflections, rotations, dilations, and scale factors) to polygons to determine congruence, similarity, and symmetry. Know that images formed by translations, reflections, and rotations are congruent to the original shape. Create and verify tessellations of the plane using polygons.

MA.912.G.2.5: : Explain the derivation and apply formulas for perimeter and area of polygons (triangles, quadrilaterals, pentagons, etc.).

MA.912.G.2.7: : Determine how changes in dimensions affect the perimeter and area of common geometric figures.

MA.912.G.3.1: : Describe, classify, and compare relationships among quadrilaterals including the square, rectangle, rhombus, parallelogram, trapezoid, and kite.

MA.912.G.3.2: : Compare and contrast special quadrilaterals on the basis of their properties.

MA.912.G.3.4: : Prove theorems involving quadrilaterals.

MA.912.G.4.1: : Classify, construct, and describe triangles that are right, acute, obtuse, scalene, isosceles, equilateral, and equiangular.

MA.912.G.4.2: : Define, identify, and construct altitudes, medians, angle bisectors, perpendicular bisectors, orthocenter, centroid, incenter, and circumcenter.

MA.912.G.4.4: : Use properties of congruent and similar triangles to solve problems involving lengths and areas.

MA.912.G.4.6: : Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles.

MA.912.G.4.7: : Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

MA.912.G.5.1: : Prove and apply the Pythagorean Theorem and its converse.

MA.912.G.5.2: : State and apply the relationships that exist when the altitude is drawn to the hypotenuse of a right triangle.

MA.912.G.5.3: : Use special right triangles (30° - 60°- 90° and 45° - 45°- 90°) to solve problems.

MA.912.G.5.4: : Solve real-world problems involving right triangles.

MA.912.G.6.2: : Define and identify: circumference, radius, diameter, arc, arc length, chord, secant, tangent and concentric circles.

MA.912.G.6.4: : Determine and use measures of arcs and related angles (central, inscribed, and intersections of secants and tangents).

MA.912.G.6.6: : Given the center and the radius, find the equation of a circle in the coordinate plane or given the equation of a circle in center-radius form, state the center and the radius of the circle.

MA.912.G.6.7: : Given the equation of a circle in center-radius form or given the center and the radius of a circle, sketch the graph of the circle.

MA.912.G.7.5: : Explain and use formulas for lateral area, surface area, and volume of solids.

MA.912.G.7.7: : Determine how changes in dimensions affect the surface area and volume of common geometric solids.

MA.912.G.8.2: : Use a variety of problem-solving strategies, such as drawing a diagram, making a chart, guess-and-check, solving a simpler problem, writing an equation, and working backwards.

MA.912.G.1: : Understand geometric concepts, applications, and their representations with coordinate systems. Find lengths and midpoints of line segments, slopes, parallel and perpendicular lines, and equations of lines. Using a compass and straightedge, patty paper, a drawing program or other techniques, students also construct lines and angles, explaining and justifying the processes used.