@Tellington@millefeuilles.cloud TLDR ~ yes catechism is the correct word.
The CCC (Catechism of the Catholic Church) is what we call the book in English. It's a summary of all the teachings of the Church. Catechism class is where you are instructed in the teachings of the CCC.
I am a convert to Catholicism. While my dad was raised in the Church he left when he was about 20 and was more-or-less an atheist, or at least a "non-believer," if there is a difference. Later he and my mom became born-again evangelical Christians when I was ~5 years old, so I was primarily raised in evangelical/charismatic circles. Like most American Protestants we changed churches every time we got a new pastor that said something challenging. I digress. I didn't go through Catechism class until I was 20, at the prompting of the Holy Spirit, and my wife did likewise 14 years later just for my benefit when she was 32, so I have little point of reference with your experience.
Our daughters are unschooled so that's a bit different from going to a Catholic school. My oldest daughter went through Faith Formation classes at our local parish K-6 but chose not to continue her religious education in 7-8th grade by attending catechism classes to become a confirmed Catholic like most of her classmates did. (I suspect most didn't really have a choice, even though my understanding of Church teaching is that each individual must chose to be confirmed themselves). My youngest is considered going into first grade and she'll be in her second year of faith formation this fall.
As a public-school kid myself I just assumed you were speaking of a voluntary Bible study like before/after school, I might have considered that when I was a teen, but my parents weren't about to drive to town to drop me off when their taxes already paid for a school bus. I apologize for jumping to conclusions.