16.1 Puzzles Explained with Exploding Dots

Exploding Dots

16.1 Puzzles Explained with Exploding Dots

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IT’S A BOOK!

And it is coming soon! But here right, now, is a PDF to download of all the puzzles and teacher notes in the book. The full book has all the solutions and extensions to puzzles. How fun!

PUZZLES WITH EXPLODING DOTS BOOK: All Puzzles and Teacher Notes

INSIDE MATTER:

Here’s a sample of puzzles—some classic, some new—that can each be beautifully analyzed and well understood with an Exploding Dots approach. Each piece begins with a discussion on introducing the puzzle to students along with some possible thoughts, questions, and reactions students might have to the puzzles. The solutions are presented, as well as extensions to explore.

The suggested age levels are very loose! Many elementary grade students will enjoy a number of these puzzles and any puzzle labeled for a certain grade level, when probed more deeply, can unfold to more challenging queries. Do indeed look at the suggested puzzle extensions.

The mathematics of Exploding Dots appears on our website www.globalmathproject.org.

Enjoy!

Some Sample Puzzles

PUZZLE Two Button Calculator

PUZZLE Divisibility by 7

PUZZLE Dividing by 101_AMC 10B 2018

PUZZLE Divisibility by Nine_(Brilliant)

PUZZLE Divisibility by Nine AGAIN_(Brilliant)

PUZZLE Pouring Water

PUZZLE Divisibility by 37

PUZZLE Ethiopian Multiplication

PUZZLE Josephus Problem

PUZZLE Mango Sharing-and-Eating Puzzle

PUZZLE Multiplication_Brilliant

PUZZLE NIM

PUZZLE A Sum of Fractions_Brilliant

PUZZLE Balance Scales

PUZZLE Another Balance Scales

PUZZLE Divisibility by 5 in base one-and-a-half

BONUS MATERIALS

Here are some additional puzzles (with solutions) not in the book. We have just here some puzzles from our partner organisation BRILLIANT and we thank them for sharing many of their puzzles with us.

PUZZLE Multiplication

Our partner BRILLIANT has an astonishing library of general puzzles and innovative mathematics content. We start here with a warmup puzzle on long multiplication from Brilliant, and then push it further with the power of the Exploding Dots mindset!

PUZZLE Cryptogram 1

The cryptogram puzzles from BRILLIANT help students develop a profound and strong understanding of the standard arithmetic algorithms. Here are two puzzles.

PUZZLE A Sum of Fractions

Here’s a clever puzzle from Brilliant on converting fractions into decimals and making use of patterns.

PUZZLE 64 Coin Trick

Apparently the flip of just one coin among a randomly placed array of 64 identical coins (each coin either heads up or tails up) can give enough information to reveal the location of secretly favored coin. Astounding!