Geometry

What: One academic year of live instruction and grading.

When: Mon/Wed/Thur, class meets 3x per week

Time: 9:45-10:450 am (Eastern)

Prerequisites: Successful completion of Algebra 1. Algebra 1 and Geometry cannot be taken simultaneously as the skills from Algebra 1 are used from the beginning of the course.

Includes: Includes 96 hours of live instruction through the school year. Also, includes curriculum, grading, and support through the year.

Scope and Sequence

Unit 1: Basics of Geometry

• Points, Lines, and Planes

• Segment Addition Postulate

• Distance and Midpoint Formulas

• Naming and Classifying Angles

• Angle Addition Postulate

• Angle Relationships

Unit 2: Reasoning and Proofs

• Inductive Reasoning and Counterexamples

• Deductive Reasoning using Law of Detachment and Law of Syllogism

• Properties of Equality

• Algebraic Proofs

• Segment Proofs

• Angle Proofs

Unit 3: Parallel and Perpendicular Lines

• Parallel Lines and Transversals

• Finding Angle Measures Formed by Parallel Lines and Transversals

• Proofs with Parallel Lines

• Slopes of Lines

• Equations of Parallel and Perpendicular Lines

• Point-Slope Form of Lines

Unit 4: Congruent Triangles

• Classifying Triangles

• Solving for Triangle Sides with Algebra

• Angles in Triangles

• Equilateral and Isosceles Triangles

• Congruent Triangles

• Proving Triangle Congruence by SSS, SAS

• Proving Triangle Congruence by ASA, AAS, HL

• Using Congruent Triangles

Unit 5: Relationships with Triangles

• Triangle Midsegments

• Perpendicular Bisectors

• Triangle Inequalities

Unit 6: Similarity

• Ratios and Proportions

• Similar Polygons and Scale Factor

• Proving Triangle Similarity by AA

• Proving Triangle Similarity by SSS and SAS

• Proportionality Theorems

• Parts of Similar Triangles

Unit 7: Right Triangles and Trigonometry

• The Pythagorean Theorem and Converse

• Special Right Triangles

• Similar Right Triangles

• Geometric Mean

• Right Triangle Trigonometry

• Finding Angle Measures Using Trig

• Angles of Elevation and Depression

Unit 8: Quadrilaterals

• Angles of Polygons

• Properties of Parallelograms

• Proving that a Quadrilateral is a Parallelogram

• Rectangles

• Rhombuses and Squares

• Quadrilaterals in the Coordinate Plane

• Properties of Trapezoids and Kites

Unit 9: Transformations

• Translations

• Reflections

• Rotations

• Symmetry

• Dilations

• Sequences of Transformations

Unit 10: Circles

• Parts of Circles

• Area and Circumference

• Central Angles and Arc Measures

• Arc Length

• Tangents

• Arc and Angle Relationships

• Segment Lengths

• Equations of Circles

Unit 11: Volume and Surface Area

• Area of Plane Figures

• Area of Sectors

• Area of Composite and Shaded Figures

• Area of Regular Figures

• Classifying 3D Figures

• Surface Area of Prisms and Cylinders

• Surface Area of Pyramids and Cones

• Volume of Prisms and Cylinders

• Volume of Pyramids and Cones

• Volume and Surface Area of Spheres

• Effects of Changing a Dimension