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US$55

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고등학생 기하학 마스터링: 기본부터 증명까지

연령대: 14-18 세

실시간 1:1 수업

이 수업은 증명, 유사성과 합동성, 원, 변환, 삼각법 등과 같은 주요 주제를 통해 학생들을 안내합니다. 성적을 높이고, 자신감을 얻고, 시험에서 우수한 성적을 거두려는 사람들에게 이상적입니다.

Yosef

실시간 화상 수업

주당 3회 수업 (선생님 추천)

요청 시 수업

55분

아웃스쿨 소개 학습 개요 선생님 리뷰

무엇이 포함되어 있나요?

요청 시 수업

요청에 따른 수업 일정

55 분

회당

교사 지원

숙제

주당 1-2시간. 포함됨

보고계신 지문은 자동 번역 되었습니다

수업 소개

영어 수준 - 알 수 없음

미국 8학년 - 12학년 학년

My class, "Mastering High School Geometry: From Basics to Proofs," is designed to help students master the fundamental concepts of geometry. We will cover a wide range of topics, from basic shapes and angles to more advanced topics like proofs and transformations.
Geometry Tutoring Syllabus

Course Duration: 12 Weeks
Objective: Develop a strong foundation in geometric concepts, logical reasoning, and problem-solving skills.

Week 1: Basics of Geometry

. Points, lines, planes, and angles
. Types of angles (acute, right, obtuse, straight)
. Measuring and classifying angles
. Segment and angle bisectors
. Midpoints and distance formula

Week 2: Reasoning and Proofs

. Inductive vs. deductive reasoning
. Conditional statements and their converses
. Properties of equality and congruence
. Writing two-column proofs and paragraph proofs

Week 3: Parallel and Perpendicular Lines

. Properties of parallel lines and transversals
. Identifying corresponding, alternate interior, and same-side interior angles
. Slope and equations of parallel and perpendicular lines
. Proving lines are parallel or perpendicular

Week 4: Transformations

. Reflections, translations, rotations, and dilations
. Properties of rigid and non-rigid transformations
. Compositions of transformations
. Symmetry (line and rotational)

Week 5: Congruent Triangles

. Triangle congruence criteria (SSS, SAS, ASA, AAS, HL)
. Using congruence to prove parts of triangles are congruent
. Isosceles and equilateral triangle properties
. Overlapping triangles in proofs

Week 6: Relationships Within Triangles

. Midsegments and their properties
. Perpendicular bisectors, angle bisectors, medians, and altitudes
. Triangle inequalities
. Hinge Theorem
Week 7: Quadrilaterals and Other Polygons

. Properties of parallelograms, rectangles, rhombuses, squares, and trapezoids
. Conditions for proving quadrilateral types
. Sum of interior and exterior angles in polygons

Week 8: Similarity

. Proportions and similarity ratios
. Triangle similarity (AA, SSS, SAS)
. Proportional parts in triangles
. Using similarity to find missing lengths

Week 9: Right Triangles and Trigonometry

. Pythagorean Theorem and its applications
. Special right triangles (30°-60°-90° and 45°-45°-90°)
. Trigonometric ratios (sine, cosine, tangent)
. Solving right triangles using trig functions

Week 10: Circles

. Parts of a circle (radius, chord, diameter, tangent, secant)
. Arc measures and central angles
. Inscribed angles and their properties
. Equations of circles in coordinate geometry

Week 11: Circumference and Area

. Circumference and arc length
. Area of circles and sectors
. Area of composite figures

Week 12: Surface Area and Volume

. Surface area and volume of prisms, cylinders, pyramids, cones, and spheres
. Applying the formulas to real-world problems
. Effects of changing dimensions on surface area and volume

학습 목표

Understand and apply the principles of geometric transformations, such as translations, rotations, reflections, and dilations.
Develop the ability to write and understand geometric proofs, including two-column proofs and paragraph proofs.

그 외 세부 사항

Outschool 외 필요 앱/웹사이트

아웃스쿨 사이트의 기능 외 별도의 앱이나 웹 사이트를 사용할 필요가 없습니다.

선생님을 만나보세요

Yosef

가입일: March, 2025

프로필

교사 전문성 및 자격증

학사 학위 토목공학 Portland State University에서

I have been tutoring math for over two decades, working with students at all levels, from elementary school to college. As a civil engineer with a strong foundation in geometry and a passion for teaching, I enjoy helping students develop a deep understanding of mathematical concepts and problem-solving techniques. Throughout my career, I have worked extensively with high school students on mastering geometry, both in one-on-one sessions and in classroom-style tutoring.

I have taught high school geometry in various settings, including private tutoring, group sessions, and SAT/ACT preparation courses. My instruction covers essential topics such as parallel lines and transversals, triangle congruence and similarity, properties of polygons, circles, coordinate geometry, transformations, and proof-based reasoning. I emphasize logical thinking and visualization, helping students build confidence in their ability to analyze and solve geometric problems.

I have worked with children and teens in various educational settings, supporting public school, private school, and homeschool students. My experience enables me to adapt my teaching strategies to meet individual learning needs, whether students are struggling with geometry fundamentals or seeking to master advanced topics. I am committed to helping students succeed by making geometry engaging, accessible, and enjoyable.