
완전정복!! 거속시, 농도의 활용 문제 해결법(일차방정식) 표준단계
5
review 4
중1 1학기 과정에 등장하는 방정식의 활용 문제 중 학생들이 가장 어려워하는 거속시(거리-속력-시간) 문제와 소금물의 농도를, 개념 정리, 공식의 응용과 함께 방정식 해결의 원리까지 속시원하게 해결하는 수업입니다.
15%36,250G(US$25.01)
25,812G(US$17.81)
Class Type
One Day
Ages
11-14
Class Size
Max 6people
Duration
70min
Replay

구자익
Reviews
129
중1 학생들이 방정식 활용 문제 중
가장 어려워 하는 거속시(거리-속력-시간)문제와 농도 문제!
공식 자체가 어렵고, 변형된 공식도 어렵고,
식을 어떻게 세워야 할지 모르겠고
무엇이 같은 것인지 모르겠고…
거속시는 거리, 속력, 시간에 대한 정보가 필요하고,
소금물문제는 소금, 물의 양, 농도에 대한 정보가 필요합니다.
그런데 이 세 정보가 따로따로 있는게 서로 연결이 되어 있습니다.
그리고 세 정보는 정비례, 반비례 관계가 있어요.
이 연결과 비례관계를 이해하지 못하면
공식을 암기해야 하고 결국 문제 해결에 어려움을 겪습니다.
방정식 문제는 이렇게 풉니다.
문제를 충분히 이해해야 합니다(그림도 그려보고 예도 들어봅니다).
주어진 조건을 식으로 나타내어 봅니다. 이때 필요한 것 또는 구하는 것을
문자로 둡니다.같은 양이지만 다르게 표시된 두 식을 찾는 것이 목표입니다.
그리고 두 양을 같다고 두고 등식의 성질을 이용하여 해결합니다.
구한 답이 문제를 만족하는지 확인합니다.

선생님은
방정식 문제를 끊어서 읽는 법,
문장을 식으로 바꾸는 법,
같은 두 양이 되게 식을 바꾸는 법
을 세세히 가르쳐드립니다.
선생님의 수업은
초등수학에서 출발하고 학생의 눈높이에 맞게 설명합니다.
그래서 설명이 아주 자세합니다.
@@선생님 수업 후기@@


구자익 선생님의 수학 로드맵

중등수학
개념
[저자 직강] 시리즈
[수학 비타민] 시리즈
[완전정복] 시리즈
우리가 잘못 알고 있는 수학
음수 너무 어려워요
응용
모자이크 수학
사고력 수학 글쓰기 - 표준
심화
문제해결의 기술(APS)
사고력 수학 글쓰기 - 심화
의대수학-표준
[퀀텀점프] 시리즈
고등수학
개념
지금까지 이런 수업은 없었다
응용심화
빠른 진도를 원하는 학생을 위한 대수학, 기하학
시험대비
응용심화
내신대비반 4주 완성
Great for These Kids
중등 1-1 방정식 단원까지 배운 학생
방정식 활용 문제 중 거속시, 농도 문제 해결에 어려움이 있는 학생
거속시, 농도 문제를 어떻게 시작해야 할지 모르는 학생
중등 1-1 방정식을 배우지 않은 학생
Check Before Class
- 1
완전정복!! 거속시, 농도의 활용 문제 해결법(일차방정식) 표준단계
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Teacher Info
Auto-translated to English.

구자익
Reviews
129
Graduated from Korea University (Seoul Campus) Served as the Director of a renowned academy in the Gangnam 3-gu district for over 15 years Personally produced over a dozen textbooks for elementary, middle, and high school students Taught a student who achieved a perfect score on the 2016 CSAT starting from their first year of high school. For 15 years, I taught middle school classes for medical school and top-tier students, as well as high school classes for Grade 1 students and Grade 1 CSAT students in the Gangnam 3-gu district of Seoul. As an academy director for 10 years, I gained diverse experience teaching students of various levels. In particular, the teacher has the strength of reading students' thoughts, quickly identifying their habits, and presenting appropriate countermeasures and methods. Through the teacher's diverse teaching experience and student observations, countless students have gained confidence in mathematics and improved their grades. Mathematics is a discipline that organizes complex thoughts and aids in problem-solving. In other words, it is a subject that is truly essential to us. However, nowadays, students view mathematics as a subject where they must memorize concepts and theories (without critical analysis) and repeatedly solve problems by type (without knowing why they are solved that way). Mathematics is based on operations, and as students advance through the grades, they must learn by connecting and expanding upon new concepts and theories with what they have already learned. However, students who strongly believe that mathematics is solely about operations face limitations because they view the subject through this single lens. Consequently, the better a student's calculation skills are, the more difficult middle school mathematics feels. This difficulty is experienced again when learning high school mathematics. Mathematical concepts and theories require students to develop a habit of proactively understanding them, while problem-solving requires problem analysis and solution strategies. Only by learning "the connection and expansion of mathematical concepts" and "problem analysis, understanding, and problem-solving strategies" will students realize that mathematics is simple and easy as time goes by. The teacher will help students come to this realization. The teacher's teaching method is somewhat unique. 1. The teacher explains "why" concepts and theories are necessary, "how" they are expressed in a particular way, and "what" they connect to among previously learned concepts. 2. The teacher provides students with the opportunity to express their own thoughts. This allows the teacher to distinguish between well-thought-out ideas and those that need correction. 3. Understand the student's thought process regarding 'how' they solved the problem. 4. Teach how to analyze and understand problems, and the starting point for solving them. 5. Do not teach by categorizing problems into types. Therefore, do not teach solution methods by categorizing them either. 6. Regularly check whether the student solved the problem correctly (logically), and encourage them to express their thoughts verbally (verbal expression helps them identify their weaknesses).
Education & Certifications
Department of Physics, Korea University
Graduated
Experience & Activities
·
Teaching middle and high school subjects to middle and high school students for approximately 20 years
·
Coaching for various competitions such as KJMO, KMO, and AMC
·
Producing numerous successful applicants to electronics high schools and specialized high schools
·
Producing numerous students with Grade 1 high school GPA and CSAT scores in the Gangnam 3 districts for over a decade
·
Produced perfect scorers on the CSAT (2016 academic year)
·
Selling books personally created by the teacher at Kyobo Book Centre (search for JIK)
·
International school IB classes or AP courses (Pre-Algebra, Algebra, Geometry, Combination, Number Theory, Pre-Calculus, Calculus)
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