How *few* colors can you use to fill in a map so that no neighboring regions are the same color?

# All AboutPuzzlers

## Word Pyramids – A Delightful Vocabulary Puzzle

A fun, abstract vocab puzzle in which students can add one letter per line, forming a pyramid of words.

## 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.

## Vocab Puzzle: Antonym Paths

Begin with a small, simple word and identify its antonym. Then, take this second word and find *its* antonym. Many times, you’ll find that an antonym of an antonym isn’t always related the original word.

## Puzzler: A Number With ‘A’

Counting up, what’s the first number with an “a” in it?

## Puzzle: Words Within Words

In need of some nice word puzzles that will keep your students busy? Ask them to find as many words as they can within another word. For example: can you find 10 words made from the letters in “soldier”? How about 20? 50?

## Puzzle: Word Ladders

One of my favorite tricks in the classroom was having a “puzzle of the day.” The great difficulty was finding puzzles that challenged my students, but didn’t require meticulous work or strange knowledge. Word Ladders were always a consistent hit.

## 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.

## 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…

## 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.