Essential Knowledge and Skills (TEKS)

111.34.G.2: The student analyzes geometric relationships in order to make and verify conjectures.

111.34.G.2.A: use constructions to explore attributes of geometric figures and to make conjectures about geometric relationships; and

111.34.G.2.B: make conjectures about angles, lines, polygons, circles, and three-dimensional figures and determine the validity of the conjectures, choosing from a variety of approaches such as coordinate, transformational, or axiomatic.

111.34.G.3: The student applies logical reasoning to justify and prove mathematical statements.

111.34.G.3.A: determine the validity of a conditional statement, its converse, inverse, and contrapositive;

Biconditional Statements

Conditional Statements

111.34.G.3.C: use logical reasoning to prove statements are true and find counter examples to disprove statements that are false;

Biconditional Statements

Conditional Statements

111.34.G.3.E: use deductive reasoning to prove a statement.

111.34.G.5: The student uses a variety of representations to describe geometric relationships and solve problems.

111.34.G.5.C: use properties of transformations and their compositions to make connections between mathematics and the real world, such as tessellations; and

Circles

Rotations, Reflections, and Translations

Translations

111.34.G.6: The student analyzes the relationship between three-dimensional geometric figures and related two-dimensional representations and uses these representations to solve problems.

111.34.G.6.B: use nets to represent and construct three-dimensional geometric figures; and

Surface and Lateral Areas of Prisms and Cylinders

111.34.G.6.C: use orthographic and isometric views of three-dimensional geometric figures to represent and construct three-dimensional geometric figures and solve problems.

111.34.G.7: The student understands that coordinate systems provide convenient and efficient ways of representing geometric figures and uses them accordingly.

111.34.G.7.A: use one- and two-dimensional coordinate systems to represent points, lines, rays, line segments, and figures;

Linear Functions

Points in the Coordinate Plane

Points, Lines, and Equations

111.34.G.7.C: derive and use formulas involving length, slope, and midpoint.

Circles

Distance Formula

Slope

111.34.G.8: The student uses tools to determine measurements of geometric figures and extends measurement concepts to find perimeter, area, and volume in problem situations.

111.34.G.8.A: find areas of regular polygons, circles, and composite figures;

Area of Triangles

Circumference and Area of Circles

111.34.G.8.C: derive, extend, and use the Pythagorean Theorem;

Circles

Cosine Function

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Sine Function

Surface and Lateral Areas of Pyramids and Cones

Tangent Function

111.34.G.8.D: find surface areas and volumes of prisms, pyramids, spheres, cones, cylinders, and composites of these figures in problem situations;

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

111.34.G.8.F: use conversions between measurement systems to solve problems in real-world situations.

111.34.G.9: The student analyzes properties and describes relationships in geometric figures.

111.34.G.9.A: formulate and test conjectures about the properties of parallel and perpendicular lines based on explorations and concrete models;

Constructing Congruent Segments and Angles

Constructing Parallel and Perpendicular Lines

111.34.G.10: The student applies the concept of congruence to justify properties of figures and solve problems.

111.34.G.10.A: use congruence transformations to make conjectures and justify properties of geometric figures including figures represented on a coordinate plane; and

111.34.G.10.B: justify and apply triangle congruence relationships.

Congruence in Right Triangles

Proving Triangles Congruent

111.34.G.11: The student applies the concepts of similarity to justify properties of figures and solve problems.

111.34.G.11.A: use and extend similarity properties and transformations to explore and justify conjectures about geometric figures;

111.34.G.11.B: use ratios to solve problems involving similar figures;

Beam to Moon (Ratios and Proportions)

Perimeters and Areas of Similar Figures

Similar Figures

111.34.G.11.C: develop, apply, and justify triangle similarity relationships, such as right triangle ratios, trigonometric ratios, and Pythagorean triples using a variety of methods; and

Perimeters and Areas of Similar Figures

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Similar Figures

Similarity in Right Triangles

Sine, Cosine, and Tangent Ratios

111.34.G.11.D: describe the effect on perimeter, area, and volume when one or more dimensions of a figure are changed and apply this idea in solving problems.

Perimeter and Area of Rectangles

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.