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Since March 2021
Instructor since March 2021
Translated by GoogleSee original
Mathematics, Physics and Chemistry support from college to Bac+2
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From 20.54 £ /h
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My courses aim to transmit a methodology in order to allow better assimilation of lessons and identify the fundamental points before an exam.

My goal is to restore confidence in my students so that they approach lessons with more motivation and serenity.
Location
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At student's location :
  • Around Paris, France
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Online from France
About Me
Je m'appelle Kamel, je suis titulaire d'un DUT Génie Mécanique et d'un Master en Ingénierie Financière d'une grande école de commerce.

Je propose de l'aide en mathématique, physique, chimie et analyse financière pour des étudiants de niveau collège, lycée et études supérieures.

Patient de nature, je sais prendre le temps d'apporter des explications répétées et complètes mais aussi m'adapter pour enseigner au mieux selon le profil de l'élève.
Education
Master Ingénierie Financière, em lyon business school
DUT Génie Mécanique, Université Claude Bernard Lyon 1
Baccalauréat Scientifique, spécialité physique-chimie
Experience / Qualifications
Récemment diplômé en Finance, j'ai pu tout au long de ma scolarité transmettre avec pédagogie mes connaissances en sciences et en gestion.
Age
Children (7-12 years old)
Teenagers (13-17 years old)
Adults (18-64 years old)
Student level
Beginner
Intermediate
Advanced
Duration
60 minutes
90 minutes
The class is taught in
English
French
Availability of a typical week
(GMT -05:00)
New York
at teacher icon
Online via webcam
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At student's home
Mon
Tue
Wed
Thu
Fri
Sat
Sun
00-04
04-08
08-12
12-16
16-20
20-24
Similar classes
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I am a qualified and experienced mathematics tutor. Graduated from the Free University of Brussels in 2011, I started my career by teaching remedial courses in different schools in Brussels. I then specialized in individual academic support by following educational training at the Harvard Graduate School of Education. I have been giving private mathematics lessons daily for over ten years.

The students who follow my private lessons benefit from personalized support. The first session is devoted to an in-depth assessment of the student's mathematical knowledge. The objective is to detect its weak points and understand their origin in order to adapt my courses to its needs. I develop a tailor-made remediation program for each of my students aimed at filling each of their gaps. Over the course of the sessions, the student builds a solid foundation for learning and regains self-confidence. At the same time, I help him acquire a work methodology that allows him to gradually become autonomous in his studies.

I have a thorough knowledge of the mathematics curriculum for middle and high school (from 6th to 12th grade). I am also qualified to support students in preparing for international exams such as the SAT, the OMPT, and the International Baccalaureate (IB) in all its variations: Analysis and Approaches (AA SL/HL) and Applications and Interpretation (AI SL/HL).

Throughout my years of training, I studied and developed numerous techniques that facilitate learning mathematics. The strength of my teaching approach lies in my ability to explain, in simple terms, anything a student finds complicated. I am passionate about this profession because it offers me the opportunity to guide struggling students toward success. It is a true pleasure to see them progress and rediscover their connection with the fascinating world of mathematics.

I offer private tutoring in Paris (at the student's home) or remotely (online). My online lessons take place on an interactive whiteboard. This whiteboard is specifically designed to facilitate student/teacher interaction online. Thanks to this teaching tool, my online lessons are just as effective as in-person lessons. The student only needs an internet connection and a computer, tablet, or smartphone to participate.
verified badge
I am a qualified engineer from Arts et Métiers ParisTech and followed a preparatory class, accumulating more than 10 years of experience as a private mathematics teacher. My goal is to help your child reach their full academic potential in mathematics and develop skills that will prepare them for a bright future.

Why choose my courses?

Would you like your child to:

Significantly improve your results in mathematics/physics-chemistry?
Join a selective curriculum?
Become independent and confident in your abilities?
Over the last 5 years, I have had the privilege of supporting more than 30 French students, from middle school (sixth, fifth, fourth, third) to high school (second, first, terminale), towards academic success. My students obtained good averages, passed the certificate, the baccalaureate and the preparatory classes, while strengthening their self-confidence.

My teaching method in 3 steps:

Short term: Immediate improvement in average by assimilating the course and preparing for assessments. This includes assimilating the course, taking notes, practicing standard exercises, anticipating teachers' expectations and test questions, as well as acquiring writing methods.

Medium term: Integration of reasoning and working methods. Your child will learn to work regularly in this order: assimilation, training exercises, preparation for assessments and analysis of results.

Long term: Establishing clear goals, building the steps to achieve them, realizing the SIMPLICITY of mathematics, building confidence in your abilities and unlocking your child's potential.

Details of the formula:

One to two sessions of 1h30/2h per week to assimilate the course and prepare for the evaluations.
Classes delivered via Google Meet for effective online learning.
Use of a virtual whiteboard to facilitate the assimilation of concepts.
Access to an online library including 10 mathematics reference books.
Over 1000 online exercises to strengthen math skills.
Questions ?

Contact me now on Apprentus, and I will respond quickly. Together, we can give your child the future they deserve through an exceptional math education.

Don't let this opportunity pass you by! Book today for outstanding results in mathematics.

Give your child the future they deserve with exceptional math lessons!
verified badge
As a teaching professional, I have always enjoyed sharing my knowledge. My goal is to provide quality education. I am aware that some topics may seem complex, but often this is simply the result of an inadequate explanation by the teacher. With me, you will discover a real interest in the material!

We strive together to achieve academic excellence, overcoming the shortcomings and difficulties encountered by your child. Studies will become a pleasant experience for him. In addition to the courses, I can also help with school orientation, identifying their preferences and highlighting the advantages and benefits of a fulfilling educational ambition.

The sessions generally take place according to the following stages:

1️⃣ The first sessions are devoted to the assessment of the student's level in order to detect existing gaps.

2️⃣ Next, we create a personalized plan to address these gaps, including the number of hours of work needed, specific areas to focus on, and appropriate training and development exercises.

3️⃣ We stay in constant contact with the student's class teacher, to keep up to date with the latest requirements and ensure a consistent approach.

4️⃣ Subsequently, I provide exams similar to those that are likely to be asked in class, to prepare the student effectively.

5️⃣ Upon request, I write a regular report, usually monthly, to keep parents informed of their child's progress throughout their course.

I adapt my methodology according to the specific needs of each student, thus offering them a personalized and adapted work approach.

In addition, I offer crash courses for students preparing for the start of the school year, allowing them to start the year well prepared, with a solid lead on the school curriculum.

If you have any questions, do not hesitate to contact me. I will be happy to help you.
verified badge
Experienced and qualified teacher gives private lessons at home or online by a very modern method of Mathematics - Analysis - Matrices - Statistics - Algebra - Physics - Chemistry - Biology and Geology of the France or International or European program to students of Terminales, 1ère, Seconde , Brevet, Concours and 1st year university preparatory classes.
You can contact me for details.
I practice teaching since I was a student where I was first in my class.
Specific program for CNED students or those of International School in english.
My students' results are All with VERY GOOD, GOOD AND EXCELLENT grades.
Do not hesitate to contact me for more information, guaranteed response in a few minutes to a few hours maximum.
verified badge
Hi there ! 👋

My name is Jamal and I am an experienced trainer, specialized in Maths and Physics-Chemistry courses, adapted to each student. 📚✨

✅ Improve your skills: Do you want to progress in Math, Physics-Chemistry, or both? I offer personalized courses for primary, middle and high school students, as well as for adults. 🧑‍🎓👩‍🎓

✅ All levels: No matter your level, even if you are a beginner, my courses are designed to help you progress! 🚀

✅ Effective teaching method: My method is based on an approach that facilitates the assimilation of concepts, allowing you to succeed in your homework and exams. 🎯 I combine theoretical courses, practical exercises, tutorials, exam corrections and revision sheets.

✅ Varied Support: I use a multitude of supports, including presentations, games, videos, images, audios, and homework between sessions to make learning dynamic. 🎥🎮📖

If you need help, feel free to contact me. I am here to help students around the world improve their grades and skills! 🌍💪
verified badge
It is important to me to teach my students while adopting an active teaching method. I put all my experience acquired as a head teacher and also that of my academic career to the service of their success.

- Mathematics
- Chemical Physics,
- Technology.

My courses are aimed at students in the French system from 6th to 12th grade (Speciality: Mathematics, PC).
verified badge
🎓 Associate Professor of Mathematics – Make a difference in your studies!**

With several years of experience as a teacher, examiner and examiner, I support pupils and students of all levels to achieve their academic goals and pass competitions or exams.

### **📘 Supported Levels and Specialties:**
- **High school:** Terminale (French mission) and 2 Bac Sciences Maths.
- **Preparatory Classes (CPGE):** MP, PSI, MPSI, PCSI, ECS, ECT.
- **Universities:** Bachelor's and Master's courses in science or economics.

---

### **🔑 Methodology:**
1. **Complete assimilation of the course**: Ensure that each concept is fully understood before moving on to practice.
2. **Targeted and progressive exercises**: A bank of varied and in-depth exercises, adapted to the specific needs of each student.
3. **Structure and organization**: Helps to develop effective and sustainable working methods.
4. **Tailor-made support**: Sessions adapted to each student to maximize their potential.
5. **Additional Resources**:
- **Video recording of each session** for review at any time.
- **Annotated PDF** containing all the notes and explanations shared during the course.

---

### **🎯 My strong points:**
- **Rigor and pedagogy**: Courses designed for clear and lasting understanding.
- **Flexibility**: Availability 5 days a week, with online courses via Google Meet.
- **Personalized follow-up**: Contact between sessions to answer questions.

---

**💻 Prices adjustable according to level and terms.
**📲 Contact me now for an initial discussion and an assessment of your needs.
verified badge
Mathematics is the best way to enhance your intellect but also work on your intuition and your ability to see patterns.

Good day, my name is Alex, I have been teaching math for over 10 years to hundreds of students. I will teach all grades from elementary school all the way to high school and IB/GCSE etc.

My philosophy revolves around these three values:
-Encouragement
-Inspiration
-Discipline

I specialize into teaching mathematics and programming, but in some occasions I teach physics too.
Feel free to contact me.
verified badge
🧪 IB Chemistry Apprentice Lesson Plan

Topic: The Electromagnetic Spectrum
Level: IB Year 1 (Apprentice)
Duration: 60 minutes

Lesson Objectives

By the end of this lesson, students should be able to:

‣ Describe the electromagnetic spectrum and identify its different regions.
‣ Understand and apply the equation c = fλ.
‣ Differentiate between a continuous spectrum and a line spectrum.
‣ Explain the concept of quantized energy in atoms.

Lesson Outline

Introduction (0–5 minutes)
Start the lesson by asking students a few engaging questions:
What are some examples of invisible light or radiation around us?
Why do we wear sunscreen?

Allow brief responses, then explain that all of these examples are part of the electromagnetic spectrum, which we will study today.

Teaching Phase 1 – Overview of the Electromagnetic Spectrum (5–15 minutes)
Introduce the electromagnetic spectrum. Explain that it is a range of all electromagnetic waves, which vary by frequency and wavelength. Emphasize that all electromagnetic waves travel at the same speed in a vacuum – the speed of light, c = 3.00 × 108 m/s.
Key formula to introduce: c = fλ, where:
c = speed of light
f = frequency (Hz)
λ = wavelength (m)

Point out that high-frequency waves have short wavelengths and higher energy (like gamma rays), while low-frequency waves have long wavelengths and lower energy (like radio waves). Display a spectrum diagram showing the range from radio to gamma rays, with visible light in the center.

Teaching Phase 2 – Spectrum Types: Continuous vs. Line Spectrum (15–25 minutes)
Explain the difference between continuous and line spectra.

A continuous spectrum** contains all wavelengths in a range, like a rainbow produced when white light passes through a prism.
A line spectrum** shows only specific wavelengths or frequencies. This happens when excited electrons fall back to lower energy levels and release photons of specific energies.
Explain that energy is **quantized**—electrons cannot have just any amount of energy; only specific values are allowed. Use the helium line spectrum image as an example.

Real-World Examples and Class Discussion (35–45 minutes)
Give students three practical examples and discuss their uses:

1. Microwaves – Used in cooking and communications.
2. Ultraviolet (UV) rays – Cause sunburn; used in sterilizing equipment.
3. Gamma rays– Used in cancer treatment and in detecting radioactive materials.

Ask students:
Where do you see or use electromagnetic waves in your daily life?
Encourage short contributions to reinforce understanding.

Student Exercises (45–55 minutes)
Have students complete these three questions individually:

1. A wave has a frequency of 6.0 × 1014 Hz. Calculate its wavelength using c = 3.00 × 108 m/s.
2. Explain the difference between a continuous and line spectrum, with an example of each.
3. Why are gamma rays more dangerous to humans than radio waves?

Wrap-Up and Recap (55–60 minutes)
Call on a few students to briefly summarize one key thing they learned.
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Lesson: Electrochemistry
Duration: 60 minutes
Grade Level: Advanced Science / Chemistry (IGCSE, A Level, IB)
Main Objectives:
By the end of this lesson, students should be able to:
1. Define electrochemistry and explain its importance.
2. Describe the difference between electrolytic and galvanic (voltaic) cells.
3. Write half-reactions and overall cell reactions.
4. Calculate standard electrode potentials and predict the direction of electron flow.
5. Understand practical applications of electrochemistry in everyday life.

Lesson Outline / Brief Notes:

1. Introduction to Electrochemistry (10 minutes)
Definition: Electrochemistry is the branch of chemistry that deals with the relationship between chemical reactions and electricity.
Key Concept: Redox reactions involve the transfer of electrons.
Real-life example: Batteries, electroplating, corrosion prevention.
2. Galvanic (Voltaic) Cells (15 minutes)
Composed of two half-cells connected by a salt bridge.
Oxidation occurs at the anode, reduction at the cathode.
Example: Daniell cell
Zn(s) | Zn2+(aq) || Cu2+(aq) | Cu(s)
Oxidation: Zn → Zn2+ + 2e−
Reduction: Cu2+ + 2e− → Cu
3. Electrolytic Cells (10 minutes)
Require an external power source to drive non-spontaneous reactions.
Example: Electrolysis of molten NaCl
At cathode: Na+ + e− → Na
At anode: 2Cl− → Cl2 + 2e-
4. Standard Electrode Potentials (10 minutes)
Electrode potential measures the tendency of a species to be reduced.
Example:
Zn2+/Zn: -0.76 V
Cu2+/Cu: +0.34 V
Predict electron flow: Electrons flow from Zn to Cu in a Daniell cell.
5. Applications of Electrochemistry (5 minutes)
Batteries (Li-ion, lead-acid)
Electroplating (silver plating, chromium plating)
Corrosion protection (galvanization)
Exercise (10 minutes)
1. Short Answer Questions:
a. Define electrochemistry.
b. Identify the anode and cathode in a zinc-copper galvanic cell.
c. Explain the difference between galvanic and electrolytic cells.
2. Calculation:
Given:
Zn2+/Zn: -0.76 V
Cu2+/Cu: +0.34 V
Calculate the standard cell potential of a Daniell cell.
3. Application Question:
Describe one practical application of electrochemistry in everyday life and explain how it works.
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My method is based on rigorous work on the fundamentals of the English language: conjugation, grammar, spelling, and vocabulary. Each session aims to strengthen comprehension and written and oral expression through progressive exercises and regular practice, in order to consolidate solid and lasting foundations.
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Hello!

I’m a PhD holder in physical chemistry from Université Paris Cité. I’m passionate about teaching and helping students truly understand the concepts behind chemistry and science.
With several years of research and academic experience, I can explain complex physical and chemical phenomena in a clear and engaging way.
Each session is adapted to your level and learning style. I focus on building strong fundamentals and connecting theory with practical applications.

The first lesson is a “get to know your student” session where we discuss your goals and challenges and create a personalized learning plan together.
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I give private lessons at home for primary and secondary school children.
I can help students in each subject, with or without difficulty, I really adapt to each individual.
If the student wants to go further, I can take him/her, and if he/she has difficulties, I can help him/her.
At each session we review the skills in the subjects to be worked on, then we establish an action plan for the week in order to optimize time and organize as best as possible.
Finally, depending on his needs and desires, I am available to answer his questions and work with him.
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Currently a third-year engineering student at ESILV after a preparatory class in Mathematics and Physics, I offer private lessons tailored to the needs of each student.
I can tutor middle school and high school students in mathematics, physics, computer science, as well as history, French, philosophy, and Spanish. I also offer advanced courses in mathematics, physics, and computer science.

My teaching method is based on a structured and proven approach, which I developed and refined during the private lessons I gave in preparatory classes.
First session: reading and understanding the lesson, creating a summary sheet, application exercises, then exercises to do for the next session.
Subsequent sessions: quick oral review based on the completed worksheet, detailed correction of exercises and further exploration of key concepts.
This method allows the student to consolidate their foundations, gain rigor and autonomy, while progressing effectively.
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Hello! Currently a student, I offer private tutoring in Mathematics and Physics-Chemistry for students from primary school, middle school and up to the second year of high school.

My approach is based on two pillars:

Listening-based teaching: Thanks to my past experience in youth work, I have developed a great ability to connect with children and teenagers. I know how to adapt my language and explanations to make scientific concepts more concrete and less intimidating.

Methodological rigor: The goal is to fill in the gaps, consolidate the foundations, and above all, restore the student's confidence. Each session is adapted to the child's pace to transform difficulties into successes.

Whether it is for regular homework help, test preparation or a refresher course, I am committed to supporting your child with patience and kindness.

Feel free to contact me to discuss your child's needs and arrange a first session!
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I am a qualified and experienced mathematics tutor. Graduated from the Free University of Brussels in 2011, I started my career by teaching remedial courses in different schools in Brussels. I then specialized in individual academic support by following educational training at the Harvard Graduate School of Education. I have been giving private mathematics lessons daily for over ten years.

The students who follow my private lessons benefit from personalized support. The first session is devoted to an in-depth assessment of the student's mathematical knowledge. The objective is to detect its weak points and understand their origin in order to adapt my courses to its needs. I develop a tailor-made remediation program for each of my students aimed at filling each of their gaps. Over the course of the sessions, the student builds a solid foundation for learning and regains self-confidence. At the same time, I help him acquire a work methodology that allows him to gradually become autonomous in his studies.

I have a thorough knowledge of the mathematics curriculum for middle and high school (from 6th to 12th grade). I am also qualified to support students in preparing for international exams such as the SAT, the OMPT, and the International Baccalaureate (IB) in all its variations: Analysis and Approaches (AA SL/HL) and Applications and Interpretation (AI SL/HL).

Throughout my years of training, I studied and developed numerous techniques that facilitate learning mathematics. The strength of my teaching approach lies in my ability to explain, in simple terms, anything a student finds complicated. I am passionate about this profession because it offers me the opportunity to guide struggling students toward success. It is a true pleasure to see them progress and rediscover their connection with the fascinating world of mathematics.

I offer private tutoring in Paris (at the student's home) or remotely (online). My online lessons take place on an interactive whiteboard. This whiteboard is specifically designed to facilitate student/teacher interaction online. Thanks to this teaching tool, my online lessons are just as effective as in-person lessons. The student only needs an internet connection and a computer, tablet, or smartphone to participate.
verified badge
I am a qualified engineer from Arts et Métiers ParisTech and followed a preparatory class, accumulating more than 10 years of experience as a private mathematics teacher. My goal is to help your child reach their full academic potential in mathematics and develop skills that will prepare them for a bright future.

Why choose my courses?

Would you like your child to:

Significantly improve your results in mathematics/physics-chemistry?
Join a selective curriculum?
Become independent and confident in your abilities?
Over the last 5 years, I have had the privilege of supporting more than 30 French students, from middle school (sixth, fifth, fourth, third) to high school (second, first, terminale), towards academic success. My students obtained good averages, passed the certificate, the baccalaureate and the preparatory classes, while strengthening their self-confidence.

My teaching method in 3 steps:

Short term: Immediate improvement in average by assimilating the course and preparing for assessments. This includes assimilating the course, taking notes, practicing standard exercises, anticipating teachers' expectations and test questions, as well as acquiring writing methods.

Medium term: Integration of reasoning and working methods. Your child will learn to work regularly in this order: assimilation, training exercises, preparation for assessments and analysis of results.

Long term: Establishing clear goals, building the steps to achieve them, realizing the SIMPLICITY of mathematics, building confidence in your abilities and unlocking your child's potential.

Details of the formula:

One to two sessions of 1h30/2h per week to assimilate the course and prepare for the evaluations.
Classes delivered via Google Meet for effective online learning.
Use of a virtual whiteboard to facilitate the assimilation of concepts.
Access to an online library including 10 mathematics reference books.
Over 1000 online exercises to strengthen math skills.
Questions ?

Contact me now on Apprentus, and I will respond quickly. Together, we can give your child the future they deserve through an exceptional math education.

Don't let this opportunity pass you by! Book today for outstanding results in mathematics.

Give your child the future they deserve with exceptional math lessons!
verified badge
As a teaching professional, I have always enjoyed sharing my knowledge. My goal is to provide quality education. I am aware that some topics may seem complex, but often this is simply the result of an inadequate explanation by the teacher. With me, you will discover a real interest in the material!

We strive together to achieve academic excellence, overcoming the shortcomings and difficulties encountered by your child. Studies will become a pleasant experience for him. In addition to the courses, I can also help with school orientation, identifying their preferences and highlighting the advantages and benefits of a fulfilling educational ambition.

The sessions generally take place according to the following stages:

1️⃣ The first sessions are devoted to the assessment of the student's level in order to detect existing gaps.

2️⃣ Next, we create a personalized plan to address these gaps, including the number of hours of work needed, specific areas to focus on, and appropriate training and development exercises.

3️⃣ We stay in constant contact with the student's class teacher, to keep up to date with the latest requirements and ensure a consistent approach.

4️⃣ Subsequently, I provide exams similar to those that are likely to be asked in class, to prepare the student effectively.

5️⃣ Upon request, I write a regular report, usually monthly, to keep parents informed of their child's progress throughout their course.

I adapt my methodology according to the specific needs of each student, thus offering them a personalized and adapted work approach.

In addition, I offer crash courses for students preparing for the start of the school year, allowing them to start the year well prepared, with a solid lead on the school curriculum.

If you have any questions, do not hesitate to contact me. I will be happy to help you.
verified badge
Experienced and qualified teacher gives private lessons at home or online by a very modern method of Mathematics - Analysis - Matrices - Statistics - Algebra - Physics - Chemistry - Biology and Geology of the France or International or European program to students of Terminales, 1ère, Seconde , Brevet, Concours and 1st year university preparatory classes.
You can contact me for details.
I practice teaching since I was a student where I was first in my class.
Specific program for CNED students or those of International School in english.
My students' results are All with VERY GOOD, GOOD AND EXCELLENT grades.
Do not hesitate to contact me for more information, guaranteed response in a few minutes to a few hours maximum.
verified badge
Hi there ! 👋

My name is Jamal and I am an experienced trainer, specialized in Maths and Physics-Chemistry courses, adapted to each student. 📚✨

✅ Improve your skills: Do you want to progress in Math, Physics-Chemistry, or both? I offer personalized courses for primary, middle and high school students, as well as for adults. 🧑‍🎓👩‍🎓

✅ All levels: No matter your level, even if you are a beginner, my courses are designed to help you progress! 🚀

✅ Effective teaching method: My method is based on an approach that facilitates the assimilation of concepts, allowing you to succeed in your homework and exams. 🎯 I combine theoretical courses, practical exercises, tutorials, exam corrections and revision sheets.

✅ Varied Support: I use a multitude of supports, including presentations, games, videos, images, audios, and homework between sessions to make learning dynamic. 🎥🎮📖

If you need help, feel free to contact me. I am here to help students around the world improve their grades and skills! 🌍💪
verified badge
It is important to me to teach my students while adopting an active teaching method. I put all my experience acquired as a head teacher and also that of my academic career to the service of their success.

- Mathematics
- Chemical Physics,
- Technology.

My courses are aimed at students in the French system from 6th to 12th grade (Speciality: Mathematics, PC).
verified badge
🎓 Associate Professor of Mathematics – Make a difference in your studies!**

With several years of experience as a teacher, examiner and examiner, I support pupils and students of all levels to achieve their academic goals and pass competitions or exams.

### **📘 Supported Levels and Specialties:**
- **High school:** Terminale (French mission) and 2 Bac Sciences Maths.
- **Preparatory Classes (CPGE):** MP, PSI, MPSI, PCSI, ECS, ECT.
- **Universities:** Bachelor's and Master's courses in science or economics.

---

### **🔑 Methodology:**
1. **Complete assimilation of the course**: Ensure that each concept is fully understood before moving on to practice.
2. **Targeted and progressive exercises**: A bank of varied and in-depth exercises, adapted to the specific needs of each student.
3. **Structure and organization**: Helps to develop effective and sustainable working methods.
4. **Tailor-made support**: Sessions adapted to each student to maximize their potential.
5. **Additional Resources**:
- **Video recording of each session** for review at any time.
- **Annotated PDF** containing all the notes and explanations shared during the course.

---

### **🎯 My strong points:**
- **Rigor and pedagogy**: Courses designed for clear and lasting understanding.
- **Flexibility**: Availability 5 days a week, with online courses via Google Meet.
- **Personalized follow-up**: Contact between sessions to answer questions.

---

**💻 Prices adjustable according to level and terms.
**📲 Contact me now for an initial discussion and an assessment of your needs.
verified badge
Mathematics is the best way to enhance your intellect but also work on your intuition and your ability to see patterns.

Good day, my name is Alex, I have been teaching math for over 10 years to hundreds of students. I will teach all grades from elementary school all the way to high school and IB/GCSE etc.

My philosophy revolves around these three values:
-Encouragement
-Inspiration
-Discipline

I specialize into teaching mathematics and programming, but in some occasions I teach physics too.
Feel free to contact me.
verified badge
🧪 IB Chemistry Apprentice Lesson Plan

Topic: The Electromagnetic Spectrum
Level: IB Year 1 (Apprentice)
Duration: 60 minutes

Lesson Objectives

By the end of this lesson, students should be able to:

‣ Describe the electromagnetic spectrum and identify its different regions.
‣ Understand and apply the equation c = fλ.
‣ Differentiate between a continuous spectrum and a line spectrum.
‣ Explain the concept of quantized energy in atoms.

Lesson Outline

Introduction (0–5 minutes)
Start the lesson by asking students a few engaging questions:
What are some examples of invisible light or radiation around us?
Why do we wear sunscreen?

Allow brief responses, then explain that all of these examples are part of the electromagnetic spectrum, which we will study today.

Teaching Phase 1 – Overview of the Electromagnetic Spectrum (5–15 minutes)
Introduce the electromagnetic spectrum. Explain that it is a range of all electromagnetic waves, which vary by frequency and wavelength. Emphasize that all electromagnetic waves travel at the same speed in a vacuum – the speed of light, c = 3.00 × 108 m/s.
Key formula to introduce: c = fλ, where:
c = speed of light
f = frequency (Hz)
λ = wavelength (m)

Point out that high-frequency waves have short wavelengths and higher energy (like gamma rays), while low-frequency waves have long wavelengths and lower energy (like radio waves). Display a spectrum diagram showing the range from radio to gamma rays, with visible light in the center.

Teaching Phase 2 – Spectrum Types: Continuous vs. Line Spectrum (15–25 minutes)
Explain the difference between continuous and line spectra.

A continuous spectrum** contains all wavelengths in a range, like a rainbow produced when white light passes through a prism.
A line spectrum** shows only specific wavelengths or frequencies. This happens when excited electrons fall back to lower energy levels and release photons of specific energies.
Explain that energy is **quantized**—electrons cannot have just any amount of energy; only specific values are allowed. Use the helium line spectrum image as an example.

Real-World Examples and Class Discussion (35–45 minutes)
Give students three practical examples and discuss their uses:

1. Microwaves – Used in cooking and communications.
2. Ultraviolet (UV) rays – Cause sunburn; used in sterilizing equipment.
3. Gamma rays– Used in cancer treatment and in detecting radioactive materials.

Ask students:
Where do you see or use electromagnetic waves in your daily life?
Encourage short contributions to reinforce understanding.

Student Exercises (45–55 minutes)
Have students complete these three questions individually:

1. A wave has a frequency of 6.0 × 1014 Hz. Calculate its wavelength using c = 3.00 × 108 m/s.
2. Explain the difference between a continuous and line spectrum, with an example of each.
3. Why are gamma rays more dangerous to humans than radio waves?

Wrap-Up and Recap (55–60 minutes)
Call on a few students to briefly summarize one key thing they learned.
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Lesson: Electrochemistry
Duration: 60 minutes
Grade Level: Advanced Science / Chemistry (IGCSE, A Level, IB)
Main Objectives:
By the end of this lesson, students should be able to:
1. Define electrochemistry and explain its importance.
2. Describe the difference between electrolytic and galvanic (voltaic) cells.
3. Write half-reactions and overall cell reactions.
4. Calculate standard electrode potentials and predict the direction of electron flow.
5. Understand practical applications of electrochemistry in everyday life.

Lesson Outline / Brief Notes:

1. Introduction to Electrochemistry (10 minutes)
Definition: Electrochemistry is the branch of chemistry that deals with the relationship between chemical reactions and electricity.
Key Concept: Redox reactions involve the transfer of electrons.
Real-life example: Batteries, electroplating, corrosion prevention.
2. Galvanic (Voltaic) Cells (15 minutes)
Composed of two half-cells connected by a salt bridge.
Oxidation occurs at the anode, reduction at the cathode.
Example: Daniell cell
Zn(s) | Zn2+(aq) || Cu2+(aq) | Cu(s)
Oxidation: Zn → Zn2+ + 2e−
Reduction: Cu2+ + 2e− → Cu
3. Electrolytic Cells (10 minutes)
Require an external power source to drive non-spontaneous reactions.
Example: Electrolysis of molten NaCl
At cathode: Na+ + e− → Na
At anode: 2Cl− → Cl2 + 2e-
4. Standard Electrode Potentials (10 minutes)
Electrode potential measures the tendency of a species to be reduced.
Example:
Zn2+/Zn: -0.76 V
Cu2+/Cu: +0.34 V
Predict electron flow: Electrons flow from Zn to Cu in a Daniell cell.
5. Applications of Electrochemistry (5 minutes)
Batteries (Li-ion, lead-acid)
Electroplating (silver plating, chromium plating)
Corrosion protection (galvanization)
Exercise (10 minutes)
1. Short Answer Questions:
a. Define electrochemistry.
b. Identify the anode and cathode in a zinc-copper galvanic cell.
c. Explain the difference between galvanic and electrolytic cells.
2. Calculation:
Given:
Zn2+/Zn: -0.76 V
Cu2+/Cu: +0.34 V
Calculate the standard cell potential of a Daniell cell.
3. Application Question:
Describe one practical application of electrochemistry in everyday life and explain how it works.
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