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Geometry

In this course, students will build understanding of the following modules: Reasoning with Shapes, Establishing Congruence, Investigating Proportionality, Connecting Geometric and Algebraic Descriptions, and Making Informed Decisions.

Each module is broken up into topics where you will find teacher materials to guide the instruction and the student materials both used in the classroom for learning together and learning individually.

The agency developed these learning resources as a contingency option for school districts during COVID. All resources are optional. Prior to publication, materials go through a rigorous third-party review. Review criteria include TEKS alignment, support for all learners, progress monitoring, implementation supports, and more. Products also are subject to a focus group of Texas educators.

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Using Logical Reasoning to Prove Conjectures about Circles

Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.

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Generalizing Geometric Properties of Ratios in Similar Figures

Students will investigate patterns to make conjectures about geometric relationships and apply the definition of similarity, in terms of a dilation, to identify similar figures and their proportional sides and congruent corresponding angles.

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Determining Area: Sectors of Circles

Students will use proportional reasoning to develop formulas to determine the area of sectors of circles. Students will then solve problems involving the area of sectors of circles.

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Making Conjectures About Circles and Segments

Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties and relationships among the resulting segments.

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Determining Area: Regular Polygons and Circles

The student will apply the formula for the area of regular polygons to solve problems.

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Making Conjectures About Circles and Angles

Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties of and relationships among the resulting angles.

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Solving Problems With Similar Figures

Given problem situations involving similar figures, the student will use ratios to solve the problems.

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Using Logical Reasoning to Prove Conjectures About Quadrilaterals

Given conjectures about quadrilaterals, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.

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Making and Verifying Conjectures about Lines

Students will investigate patterns and make conjectures about geometric relationships.

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Making and Verifying Conjectures about Polygons

Students will investigate patterns and make conjectures about geometric relationships, including interior angles of polygons.

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Making and Verifying Conjectures About Circles

Given information about the relationship(s) witnin one circle or a set of circles, the student will explore special segments and angles of circles.

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Writing the Converse, Inverse, and Contrapositive

Given a conditional statement, the student will write its converse, inverse, and contrapositive.

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Making and Verifying Conjectures about Three-Dimensional Figures

Students will explore volume conjectures and solve problems by applying the volume formulas to composite figures.

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Constructing and Justifying Statements about Geometric Figures

Students will distinguish between undefined terms, definitions, postulates, conjectures, and theorems and investigate patterns to make conjectures about geometric relationships.

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Using Counter Examples to Disprove Statements That Are False

Given statements about a geometric relationship, the student will use counter examples to disprove statements that are false.

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Using Inductive Reasoning to Formulate Conjectures

Students will practice identifying the converse, inverse, and contrapositive of conditional statements.

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Using Logical Reasoning to Prove Statements are True

Given statements about a geometric relationship, the student will distinguish between the undefined terms, definitions, postulates, conjectures, and theorems to prove the statements are true.

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Using Properties of Transformations

Given examples of mathematics in the real world, the student will use properties of transformations and their composites to describe and perform transformations of figures in a plane.