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…
Content Area: 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.
Big Gifts, Small Prices
What if you want to buy a big gift that’s cheap for its size? By calculating the volume of the object, we can find how much each cubic inch costs. Measured by price per volume, Thomas is 250 times more expensive than a big outdoor slide!
Mathematical Curiosities
Sometimes you encounter that math student who is simply interested in numbers. Here are some famous (and not so famous) sets of numbers that have curious properties.
Conflict and Quadrilaterals
Struggling math students shut down when they’re smacked with a mouthful of academic vocabulary right away. So lower the barrier of entry. Ask students to identify the conflict between two shapes, rather than defining “congruent sides” and “bisected diagonals.”
Math Project: Box Office Totals
As a teenager, I loved monitoring the weekend’s box office results. This kind of data is exciting, oozing with built in conflict. It sets up questions that require math to answer.
Math Project: Disneyland Parking Structure
Let’s develop a math project to challenge students who have demonstrated a mastery of multiplication and are ready to explore its applications. We’ll count the parking spaces in the Disneyland parking structure!
Math Game: The Game of 100
The Game of 100 is a simple game requiring no supplies, yet it opens up a rich world of exploring strategy and a little mental math.
Differentiate Math with Inductive Learning
With inductive learning, we still define terms, explain rules, and practice, but the order is different. We’re harnessing gifted students’ natural abilities to enhance our lessons.
Constructing Meaningful Math Projects
Here are four key attributes I look for when developing math projects: juicy data, interesting conflict, an expert’s lens, and a final product.