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On Teaching Math

Teach clearly. Engage deeply. Grow your impact.

Blog Series

Why Quadratics Make Parabolas

In this article we apply two teacher tips. First, using a kid’s question to unfold an entire lesson. For example, “Why do quadratics make parabolas?” Second, creating tension that is relieved during the course of the lesson. In this case, let’s take on Chat GPT and see who comes out on top.

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How to Introduce Quadratics to Algebra 1?

A patient start to beginning the unit on quadratic equations for Algebra 1 pays off later. By taking your time and allowing students multiple ways of accessing the concepts at play with quadratic equations, including graphs, function notation, and parabolas, students develop a rich and robust conceptual foundation upon which to build.

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When Math Pays Forward – Challenge Problem #27

A few weeks ago, we worked on a problem with two inscribed semicircles whose diameters coincided with a larger semicircle and a chord of the large semicircle that was tangent to the smaller two. From that problem, we showed a general case …

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How to Teach Quadratics by Doing

Want to learn how to teach quadratic equations to Algebra 1 students in a way that will help them develop and retain the foundation skills and concepts required for future math classes? In this article we break down how to do just that, and it starts with students experiencing the math first hand!

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I s-PI Something Red

This week’s problem was fantastic, it brought me a lot of joy. I hope you find something similar in it.
As always, I’ll share the details of the problem with you, then offer three clues to get you kick-started should you get stuck. Then, I’ll dive into my solution.

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