• ### GEOMETRY CLASS OBJECTIVES

The mathematics learning experience in Geometry centers on Reasoning and Logic, Two and Three-Dimensional Shapes, including Circles, and Right Triangle Trigonometry.  Students have been introduced to the most common of these topics as early as 4th grade, but mainly in 7th grade and Pre-Algebra.  Students on this course will extend their knowledge of basic shapes by finding the surface area and volume of uncommon figures to include logical reasoning, problem-based activities, and the use of trigonometric ratios. Real world applications and problem-solving strategies will be integrated throughout the course.

The following is the content that will be covered in Honors Geometry.

(Changes may be made according to the school schedule, considering school activities and possible snow days.)

 UNIT 1 UNIT 2 UNIT 3 Points, Lines, and Planes Conditional Statements Pairs of Lines and Angles Measuring and Constructing Segments Inductive and Deductive Reasoning Parallel Lines and Transversals Using Midpoint and Distance Formulas Postulates and Diagrams Proofs with Parallel Lines Perimeter and Area on the Coordinate Plane Algebraic Reasoning Proofs with Perpendicular Lines Measuring and Constructing Angles Proving Statements about Segments and Angles Equations of Parallel and Perpendicular Lines Describing Pairs of Angles Proving Geometric Relationships

 UNIT 4 UNIT 5 UNIT 6 Translations Angles of Triangles Perpendicular and Angle Bisectors Reflections Congruent Polygons Bisectors of Triangles Rotations Proving Triangle Congruence by SAS Medians and Altitudes of Triangles Congruence and Transformations Equilateral and Isosceles Triangles Points of Concurrency Dilations Proving Triangle Congruence by SSS The Triangle Midsegment Theorem Similarities and Transformations Proving Triangle Congruence by ASA and AAS Indirect Proof and Inequalities in One Triangle Using Congruent Triangles Inequalities in Two Triangles Coordinate Proofs

 UNIT 7 UNIT 8 UNIT 9 Angles of Polygons Similar Polygons The Pythagorean Theorem Properties of Parallelograms Proving Triangle Similarity by AA Special Right Triangles Proving That a Quadrilateral is a Parallelogram Proving Triangle Similarity by SSS and SAS Very Special Right Triangles Properties of Special Parallelograms Proportionality Theorems Similar Right Triangles Properties of Trapezoids and Kites The Cosine, Sine and Tangent Ratios Solving Right Triangles Law of Sines and Law of Cosines

UNIT 10 UNIT 11
Writing Equations of Bounded Regions  Lines and Segments That Intersect Circles
Graphing and Finding Area of Bounded Regions  Finding Arc Measures
Systems of Linear Equations and Bounded Area  Using Chords
Circumference and Arc Length  Inscribed Angles and Polygons
Areas of Circles and Sectors  Angle Relationships in Circles
Areas of Polygons  Segment Relationships in Circles
Three-Dimensional Figures  Circles in the Coordinate Plane
Surface Areas of Prisms and Cylinders
Surface Areas of Pyramids and Cones
Surface Areas of Spheres
 Volumes of Prisms and Cylinders Volumes of Pyramids Volumes of Cones Volumes of Spheres