## Geometry Primer

Do you want to prepare for an upcoming course in geometry? AJ Tutoring can help you learn how to navigate through the maze of proofs, theorems, and geometric constructions.

Locations: Online, Burlingame, Danville, Lafayette, Los Altos,  Los Gatos, Menlo Park, Mountain View, Palo Alto, San Carlos, San Jose, San Mateo, Saratoga, Woodside.

Cost: \$120/hr

Recommended hours: 9-12

Goals:

• Learn how to construct geometric proofs
• Understand the Cartesian coordinate system
• Learn how to apply the most important geometric theorems
• Understand basic trigonometric concepts
• Visualize and construct 2D and 3D figures

## Course Description:

This 1-on-1 class introduces students to geometry and gives them a leg up in the challenging course ahead. This course is designed to help students bridge the gap between numeric- and operation-based algebra/pre-algebra courses and the more proof- and shape-based geometry course. We will cover how to make logical proofs of the most important geometric theorems and apply these theorems to problems, master the techniques of graphing and the formulas for the Cartesian coordinate system, and learn the properties of the major geometric figures.

Students will be taught the most efficient and universal methods for proving theorems and distinguishing which theorems to apply to specific problems. They will be taught how to graph lines and shapes on the coordinate plane and how to find important points.

## Geometry Primer Topics:

We will select and teach the topics that will best match your student’s level and interest and build a personally tailored curriculum from these sample lessons.

#### Logic

Deductive and inductive reasoning, proof-writing

#### Basic Geometric Figures

Points, coordinate geometry, lines (parallel and perpendicular), planes, and angles

Congruence, similarity, properties, classification

#### Area & Volume

Formulas, problem-solving

#### Circles

Properties, formulas, arcs, sectors

#### Algebra Review

Solving linear and quadratic equations, systems of equations, inequalities, proportions

## Make the Most of the Summer!

Students who stay actively engaged in the learning process during the summer perform better during the school year.

Peninsula Main Phone Number (650) 331-3251 