$160
for 8 classesGeometry Concepts - A Summer Boot Camp
Completed by 501 learners
Ages 12-17
Live Group Class
Live video meetings
4x per week, 2 weeks
4-17 learners per class
45 min
What's included
8 live meetings
6 in-class hoursClass Experience
US Grade 7 - 10
When students understand the conceptual foundations of Geometry, learning problems, relationships, and formulas becomes logical and students tend to progress at a faster pace. This class is a preparation course for students planning to enter High School Geometry. The course teaches the fundamentals of Geometry and relates them to Algebra. This is also an excellent review for students that have completed Geometry and want to increase their understanding and brush up on their skills. The class meets for eight 45 minute sessions over 2 weeks. This boot camp focuses on the “how and why” of Geometry as well as teaching facts and formulas. Students will spend time in class “proving” formulas to enhance their understanding. This exercise also helps students discern when to apply a particular formula in everyday life situations. Proving formulas I geometry helps bridge the gap between abstract ideas and practical application. When students understand the conceptual foundations of Geometry, learning problems, relationships, and formulas becomes logical and students tend to progress at a faster pace. WEEK 1 Session 1 – BASICS OF GEOMETRY In the first session students will get an overview of geometry and learn points, lines, planes, line segments, midpoint and distance. Students will learn perimeter and area in the coordinate Plane and be introduced to angles. Session 2 – REASONING AND SET NOTATION In this session, we will discuss the concept of Inductive vs Deductive Reasoning. Students will learn the symbols for set notation and practice what they learn using a Venn Diagram, Planes, and Lines. Session 3 – PAIRS OF LINES AND ANGLES In session 3, students will learn to identify angles and recognize how different pairs of angles can be classified. To demonstrate the concept and teach the new terms, we will use Parallel Lines, Perpendicular Lines, and Transversals. We will also look at how geometry and algebra are related. We will use the concepts learned in classes 1-3 and apply them to various shapes and figures using algebraic equations. Session 4 - GEOMETRY PROOFS - AXIOMS, POSTULATES, AND THEOREMS In this session, we will discuss axioms, postulates, and theorems. Students will learn what a geometry proof is and the steps to construct a proof correctly. Several new theorems and postulates will be introduced and explained. A resource sheet will be provided for students to keep in their files and use in their next geometry class. WEEK 2 Session 5 - GEOMETRY PROOFS - PRACTICAL APPLICATION Week 2 begins by applying the concepts learned in week 1 and constructing geometry proofs using a fill-in-the-blank format. Session 6 – GEOMETRY PROOFS - PRACTICAL APPLICATION Session 6 will introduce 2 new postulates and students will practice constructing geometry proofs in class. Session 7 – SIMILAR POLYGONS, SIMILARITY STATEMENTS, PRACTICAL APPLICATION In this session, students will learn the difference between similarity and congruence. We will look at several common examples of similar polygons and learn to construct a similarity statement. Toward the end of class, we will explore two real life examples of how similar shapes are used in the real world to measure objects and survey land. Session 8 – TRIGONOMETRY Starting with the Pythagorean Theorem, students will explore special and similar right triangles and learn the use of Sine, Cosine, and Tangent In the last session, students will be given a certificate of completion for the "Geometry Key Concepts Summer Boot Camp" and will be officially ready to enroll in the full year or semester Geometry course!
Other Details
Supply List
In order to solve problems during class, you will need a pencil, paper, graph paper, and a calculator. Please let me know if you have any questions! Thanks! Professor P.
External Resources
Learners will not need to use any apps or websites beyond the standard Outschool tools.
Meet the teacher
Teacher expertise and credentials
Bachelor's Degree from Metropolitan State University of Denver
I have been teaching math for 24 years. My experience ranges from practical math to Algebra, Geometry and beyond. Teaching students with IEPs and special needs has helped me become a better instructor by learning to effectively teach students with different learning styles.
Math is like a foreign language when it is first introduced to students. As students progress into Pre-Algebra and beyond, the language of math becomes complex with words and symbols they have never seen before. My teaching style emphasizes concepts and proofs along with facts and formulas.
I believe learning concepts along with facts and formulas is the bridge to success. Students’ confidence increases significantly when they can apply a formula and actually understand what is being taught. My greatest reward comes when a student's eyes light up because they finally “get it”! Math is Fun!
Professor P
Reviews
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