Школа (shkola) – School
This term refers to an institution for educating children.
Том любит ходить в школу каждый день. (Tom loves going to school every day.)

Учитель (uchitel) – Teacher (male), Учительница (uchitelnitsa) – Teacher (female)
These words are used for a person who teaches children in a school.
Мой учитель математики очень строг. (My math teacher is very strict.)

Ученик (uchenik) – Student (male), Ученица (uchenitsa) – Student (female)
Both terms mean a student or a pupil in a school.
Ученики ждут начала урока. (The students are waiting for the lesson to start.)

Домашнее задание (domashneye zadaniye) – Homework
The work given to school children to do at home.
Я делаю домашнее задание по математике. (I am doing math homework.)

Перемена (peremena) – Break (as in school break)
A short period of time between school classes when students can rest.
На перемене дети играют во дворе. (During the break, the children play in the yard.)

Учебник (uchebnik) – Textbook
A book containing lessons for students.
Мне нужен новый учебник по истории. (I need a new history textbook.)

Тетрадь (tetrad) – Notebook
A book with blank pages for writing notes.
Я записал домашнее задание в тетрадь. (I wrote down the homework in my notebook.)

Рюкзак (ryukzak) – Backpack
A bag with shoulder straps for carrying school supplies.
Этот рюкзак слишком тяжёлый. (This backpack is too heavy.)

Расписание (raspisanie) – Schedule, Timetable
A plan that shows when events or classes are happening.
Посмотри в расписание, когда у нас следующий урок. (Look at the timetable to see when our next class is.)

Экзамен (ekzamen) – Exam
An official test that shows your knowledge or ability in a particular subject.
Студенты готовятся к экзамену по математике. (Students are preparing for the math exam.)

Оценка (otsenka) – Grade (as in a mark)
The score or mark given to a student’s work.
Я получил хорошую оценку за проект. (I received a good grade for the project.)

Выпускной (vyipusknoy) – Graduation
A ceremony to celebrate the completion of studies.
На выпускном было очень весело. (The graduation was very fun.)

Школьная форма (shkolnaya forma) – School Uniform
The set of standard clothing worn by students.
Все ученики одевают школьную форму по понедельникам. (All students wear a school uniform on Mondays.)

Каникулы (kanikuly) – Holidays, Vacation (as in school vacation)
A time during the school year when classes are not held and students have a break.
Дети с нетерпением ждут зимних каникул. (Children are looking forward to the winter holidays.)

By familiarizing yourself with these school-related terms, you can enhance your Russian vocabulary and feel more confident in conversations about education. Remember that practice and repetition are key to learning a new language, so try to use these words in context as often as you can. Удачи! (Good luck!)