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Algebra lessons in Lucerne

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Course Description: Mathematics, Geometry, and Algebra This course is designed to provide students with a comprehensive understanding of mathematics, focusing on the foundational concepts in geometry and algebra. The curriculum is tailored to enhance critical thinking, problem-solving abilities, and the ability to apply mathematical principles to real-world scenarios. Geometry Module The geometry section covers the study of shapes, spaces, and their properties. Students will explore concepts such as: Euclidean Geometry: Understanding points, lines, planes, angles, and polygons. Transformational Geometry: Analyzing symmetry, reflections, rotations, and translations. 3D Geometry: Examining solids, surface area, and volume of three-dimensional figures. Analytic Geometry: Using coordinate systems to represent geometric objects and solve problems. Applications: Real-world geometric problems and their applications in fields like engineering, architecture, and design. Algebra Module In the algebra module, students develop skills in manipulating symbols and solving equations, covering: Basic Algebra: Operations, factoring, and solving linear and quadratic equations. Advanced Algebra: Working with polynomials, rational expressions, exponents, and logarithms. Systems of Equations: Solving systems using substitution, elimination, and matrix methods. Functions and Graphs: Exploring linear, quadratic, exponential, and logarithmic functions. Abstract Algebra (Advanced topics): Introduction to groups, rings, and fields for students interested in theoretical aspects. Course Goals By the end of this course, students will be able to: Analyze complex mathematical problems with clarity and precision. Apply geometric and algebraic principles to model and solve real-life scenarios. Develop a strong foundation for higher-level studies in mathematics or related fields. This course offers a blend of theoretical exploration and practical application, making it ideal for students looking to deepen their mathematical understanding or pursue studies in STEM disciplines.
Math · Geometry · Algebra
Extensive experience in teaching all levels (primary and secondary school). I work at the International School .IPS English Commerce College graduate I have a teaching certificate and also a certificate in practicing teaching with international American curricula. Experienced Math Teacher for All Levels (Elementary - 9th Grade - University) 5 years experience in international and Egyptian curricula Using innovative teaching methods to simplify difficult concepts and make learning fun. Really using Montessori as well and innovative Egyptian methods to make the student love mathematics and not just studying. Help students improve their grades and build their confidence in solving math problems. Sheets for each session and exams every week to determine the student’s level. Each session has 2 sheets. You can review questions about what has passed + you can explain the lesson and print it in PDF format. It is not acceptable for a student to be absent from the session for any reason. Providing interactive lessons that meet the needs of each student based on their level and goals. Available lessons: Basic Mathematics (for elementary students) Calculus, Statistics and Accounting University Curricula (For University Students, Faculty of Commerce and English Commerce) ......... 5 years of experience with international and Egyptian math curricula. I use innovative teaching methods to simplify difficult concepts and make learning enjoyable, including Montessori techniques and creative Egyptian strategies to help students love math, not just study it. I help students improve their grades and build confidence in solving math problems. Each session includes worksheets, review questions, and detailed explanations in PDF format. Every week, I provide tests to assess the student's progress. Attendance is mandatory for every session, with no exceptions.
Math · Algebra · Tutoring
Algebra Algebra introduces students to the fundamental concepts of variables, expressions, equations, and functions. This course focuses on simplifying expressions, solving linear and quadratic equations, and working with polynomials and inequalities. Students will also explore systems of equations, exponents, and factoring techniques. The course builds the foundation for higher-level mathematics and problem-solving skills applicable in various real-world contexts. Trigonometry Trigonometry delves into the relationships between the sides and angles of triangles, especially right triangles. The course covers the study of trigonometric functions (sine, cosine, tangent, and their reciprocals), their graphs, and applications in real-world scenarios, such as waves, circular motion, and physics problems. Additionally, students will learn how to solve trigonometric equations, apply identities, and understand the unit circle and radian measure. This course prepares students for advanced topics in calculus and science-related fields. Geometry Geometry focuses on the study of shapes, sizes, relative positions of figures, and the properties of space. Students will explore points, lines, planes, angles, circles, polygons, and three-dimensional figures, along with theorems and postulates that explain their relationships. The course emphasizes logical reasoning, proofs, congruence, similarity, area, volume, and coordinate geometry. Geometry strengthens problem-solving and spatial reasoning skills, which are essential in fields like architecture, engineering, and design.
Trigonometry · Geometry · Algebra
*** Presentation *** : I graduated from Paris-Saclay University with a Master M2 in robotics. My passion for mathematics encourages me to share my knowledge and support you in your academic journey. Whether you are preparing for exams, looking to better understand your homework or simply want to improve your understanding of mathematics, I am at your side to provide you with my support. ***Teaching techniques and methods***: My teaching approach is tailored to each student. I favor an interactive method, encouraging you to ask questions and actively participate in the course. Each session is personalized according to your needs, whether it is to strengthen your basics or to delve deeper into more complex concepts. For online courses, I use an iPad tablet, which makes the sessions particularly interactive and facilitates the visualization of concepts thanks to diagrams and annotations in real time. This allows for greater clarity and a more immersive learning experience. *** Typical course outline ***: Each course begins with a review of the concepts seen previously to ensure their understanding. Then, we cover new concepts or specific points that you want to work on, with practical exercises to consolidate what you have learned. At the end of the course, a summary of the important points is made, and optional homework may be proposed to reinforce the progress. During online courses, the use of my iPad makes the course interactive and clearly visible to you, while facilitating the monitoring of the exercises in real time. *** Specificities as a teacher ***: With my generalist and robotics background, I have a rigorous and structured approach, while remaining attentive and listening to the needs of each student. I am able to simplify complex concepts, making mathematics more accessible and less intimidating. My experience allows me to adapt courses to both struggling students and those looking to excel. *** Who are the courses for ***: My courses are aimed at middle school, high school and university students, regardless of their level of competence. Whether you are looking for support for an exam, improvement or simply regular monitoring, I adapt to your specific needs.
Algebra · Math · Physics
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