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Byrdseed.TV Example Lessons Depth & Complexity

Math

Why Pi?

Pi Day is just around the corner, but the typical fare include π art projects, memorization challenges, or other activities that separate π from its real uses. But π is such a fascinating topic that it should inspire curiosity and wonder on its own.

The Collatz Conjecture

A "conjecture" is an idea that is believed to be true, but has not yet been proven. They are authentic unanswered questions for students to explore. The Collatz Conjecture uses two simple rules to get from any number to 1. It seems to work for all numbers...

A Math Question That Moves Around on Bloom’s

I was aiming for engagement rather than higher-level thinking.

Prime Number Explorations

Students learn about prime numbers early in their careers, but the true, quirky nature of these numbers isn't really explored unless kids go on to become math majors. Here are three fun prime explorations suitable for even young students.

Exploring Circumference With Famous Circles

Remembering the formulae for area and circumference of a circle is often a challenge for students due to their surface similarities as well as the additional confusion of radius and diameter. I like to tackle them one at a time and give students a chance to explore the origin of each formula. Let's look at circumference today by utilizing some famous circles from around the world... and beyond!

Depth and Complexity: Ethics… In Math!?

The Ethics prompt of depth and complexity fits so easily into the humanities… but what about ethics in math?!

Creating A New Mathematical Operation

Do your students realize that addition, subtraction, multiplication, and division are all examples of the same idea: an operation? And that it's quite possible to create a brand new operation? Let's do it!

Solving An Authentic Classroom Problem: The Desk Arrangement

How often do you give your gifted students the opportunity to solve authentic, relevant problems? What is more authentic to a student than solving classroom problems? And what excites students more than having ownership over the classroom seating? Here's an authentic problem solving idea that ties in public speaking skills, group work, and classroom ownership.

Goldbach’s Conjecture

Our look at math conjectures continues with Goldbach's Conjecture, which states that all even integers greater than 2 can be written as the sum of two primes. Is this true for all cases? Another authentic, unsolved question.

High Level Thinking in Math

When differentiating for my most brilliant mathematicians, there are two traps I fell into: Just making it harder. (Use more numbers or more steps.) Turning it into an art project. (Design a bedroom!) On Bloom’s Taxonomy, my math tasks always maxed out at Apply or would leap away to a fluffy creative task. I think […]
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