# Math Curriculum Geometry

**Description**

Geometry

Introduction to Geometry

Unit Preview, Definitions – Geometry, Measuring Angles – Geometry, Line and Angle Relationships, Triangles, Definitions of Figures

Construction

Unit Preview, Duplicating Segments and Angles, Constructing Perpendicular Bisectors, Constructing Perpendiculars, Constructing Angle Bisectors, Constructing Parallel Lines, Constructing Points of Concurrency, The Centroid

Lines and Angles

Unit Preview, Angle Relationships, Parallel Lines, Midpoint and Slope, Slope of Parallel and Perpendicular Lines, Equations of Lines, Intersections of Lines

Triangles

Unit Preview, Triangles Sum Conjecture, Properties of Isosceles Triangles, Triangle Inequalities

Congruencies

Unit Preview, SSS and SAS Congruencies, ASA Congruencies, AAS and HL Congruencies

Polygons and Their Properties

Unit Preview, Polygon Sum Conjecture, Exterior Angles of a Polygon, Kites and Trapezoids, Mid-segments, Parallelograms

Circles

Unit Preview, Definition – Circles, Chord Properties, Tangent Properties, Arcs and Angles, Circumference/Diameter Ratio, Arc Length

Transformations

Unit Preview, Transformations, Properties of Isometrics, Symmetry

Tessellations

Unit Preview, Tessellations with Regular Polygons, Tessellations with Irregular Polygons, Tessellations Using Only Translations, Tessellations and Rotations, Tessellations and Glide Reflections

Area

Unit Preview, Areas of Rectangles and Parallelograms, Areas of Triangles, Trapezoids and Kites, Areas of Regular Polygons, Areas of Circles, Surface Area

Pythagorean Theorem

Unit Preview, The Theorem of Pythagoras, Converse, Special Right Triangles, Distance Calculations

Volume

Unit Preview, Polyhedrons, Prisms and Pyramids, Solids with Curved Surfaces, Cylinders, Cones

Similarity

Unit Preview, Similar Triangles, Indirect Measurement with Similar Triangles, Corresponding Parts, Proportions with Area and Volume

Deductive Reasoning

Unit Preview, Symbols of Logic, Modus Tollens, Negation, Law of Syllogism, Law of Contra-positive, Direct Proofs, Conditional Proof, Indirect Proof

Inductive Reasoning

Unit Preview, Definition, Number and Picture Patterns, Finding the nth Term, Mathematical Modeling

Geometric Proof

Unit Preview, Postulates of Geometry, Geometric Proofs, Proving Angle Conjectures, Parallelograms and Parallel Lines Related Proofs

Texas Summary Assessment Geometry [STAAR PREP]

Texas TEKS Summary Assessment Geometry