TVS Initiative

Geometry A
(Units: 0.5)

Geometry consists of the study of geometric figures of zero, one, two, and three dimensions and the relationships among them. Students study properties and relationships having to do with size, shape, location, direction, and orientation of these figures.

This course meets TEKS requirements for one semester of high school Geometry.

Course cost: $325 / student

Course Overview

    Unit 1: Language of Geometry
        Points, Lines, and Planes
            The Coordinate Plane
            Points and Lines
            Planes
            Problem Solving
        Measurements
            Distance on a Number Line
            The Distance Formula
            Midpoint of a Segment
            Congruent Segments
        Angles
            Measures of Angles
            Angles
            Classifying Angles
            Congruent Angles
            Pairs of Angles
            Perpendicular Lines

    Unit 2: Logic and Proof
         Inductive and Deductive Reasoning
            Inductive Reasoning
            If-Then Statements
            Converses
            Postulates
            Deductive Reasoning
        Problem Solving
            Properties from Algebra
            Proof Using Properties of Equality
            Problem Solving
        Two-Column Proof
            Proofs with Segments
            Proofs with Angles
            More Proofs

    Unit 3: Parallel Lines and Planes
        Diagrams and Relationships
            Problem Solving
            Parallels
            Transversals
        Angles and Parallel Lines
            Angles Formed by Parallel Lines
            More Angles
            Proving Lines Parallel
        Slope and Distance
            Slope of a Line
            Parallel and Perpendicular Lines
            Distance Between Parallel Lines

    Unit 4: Congruent Triangles
        Angles and Triangles
            Classifying Triangles
            Sum of Angle Measure
            Exterior Angles
        Proving Triangles Congruent
            Congruent Triangles
            Parts of Congruent Triangles
            Tests for Congruence
            Another Test
        Solving Triangle Problems
            Problem Solving
            Isosceles Triangles
            Equilateral Triangles

    Unit 5: Triangles and Inequalities
        Special Segments in Triangles
            Medians and Altitudes
            Angle Bisectors
            Perpendicular Bisectors
        Right Triangles
            Congruent Right Triangles
            Problem Solving
            Indirect Proof of Inequality
        Inequalities
            Inequalities in a Triangle
            Triangle Inequality Theorem
            Inequalities in Two Triangles

    Unit 6: Quadrilaterals
        Parallelograms
            Properties of a Parallelogram
            Tests for Parallelograms
        Problem Solving and Rectangles
            Problem Solving
            Rectangles
        More Quadrilaterals
            Rhombi
            Squares
            Trapezoids