High school Archives | Blog eTrapez

Troubles with Indeterminate Symbols (VIDEO)

Krystian Karczyński 24 July 2024 No Comments

This post is a kind of response to the question:
“I don’t understand something and I need an explanation, why do you simplify ‘n’? I mean that n/n is an indeterminate symbol (infinity over infinity) help because I’m already lost with this.”
Understanding what indeterminate symbols REALLY are can be quite tricky. It also raises many questions about what you “can” and “can’t” do with them.

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A Few Things You Should Learn Well in High School, But No One Told You – Part 4: The Square Root of x Squared

Krystian Karczyński 22 July 2024 No Comments

Today, it’s going to be short. My quick question for you is:

What is the square root of x squared?

When I was still giving tutoring sessions, I asked this question to many high school and college students. Do you know how many knew the correct answer? Two.

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A Few Things You Should Learn Well in High School, But No One Told You – Part 3: Quadratic Function

Krystian Karczyński 22 July 2024 No Comments

This post is already the third in a row where I want to draw your attention to things that are worth reviewing at the very beginning of your mathematics studies at university. A quick review of them will make your life in university much easier.

Today it’s the turn of the quadratic function.

Quadratic function? The topic of the quadratic function is, of course, very broad, and I don’t mean at all that you should take a high school textbook and go through the entire chapter from cover to cover. Let’s just focus on a few important details, nuances, and traps.

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A Few Things You Should Have Learned Well in Middle School, But No One Told You – Part 2: Quantifiers

Krystian Karczyński 16 July 2024 No Comments

Quantifiers – but they weren’t really there…

Alright, but who needs this? In most mathematical definitions and theorems, concepts like “every” and “exists” are used. See how to use them correctly.

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A Few Things You Should Learn Well in High School But No One Told You – Part 1 Absolute Values

Krystian Karczyński 15 July 2024 No Comments

If you’ve been studying mathematics at university for a while now, you’ve probably noticed that most of the material covered in high school doesn’t directly help you at university. If you’re just starting out – take note of this.

Let’s get to work. In this and the next posts, I’ll show you a few details, understanding which will greatly ease your university studies. We start with… The geometric interpretation of absolute value (as distance).

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Troubles with Indeterminate Symbols (VIDEO)

A Few Things You Should Learn Well in High School, But No One Told You – Part 4: The Square Root of x Squared

A Few Things You Should Learn Well in High School, But No One Told You – Part 3: Quadratic Function

A Few Things You Should Have Learned Well in Middle School, But No One Told You – Part 2: Quantifiers

A Few Things You Should Learn Well in High School But No One Told You – Part 1 Absolute Values

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