Math Literature Connections:   Patterns & Algebra

## Featured Book: Two of Everything

Two of Everything by Lily Toy Hong recounts a Chinese folk tale.   The farmer finds a magic pot which doubles everything that is put into it.   This humorous story is a great introduction to function machines and input/output tables as teachers make the transition to the "doubling pot" and recording information in an input/output table.

Next, teachers change the rule for the magic pot and keep it secret.   Students supply input numbers and the teacher records the output numbers for each.   Students try to guess the magic pot's current rule.   This could then be extended to a growing pattern by simply using the last output as the next input, applying the rule and repeating the process.

Download the Magic Pot Workmat for students to use in sheet protectors.

See 5 Coins and the Magic Doubling Pot or 1000 Coins for another take on this growing pattern problem that challenges students to figure out which is the best deal.

## One Grain of Rice

One Grain of Rice: A Mathematical Folktale, illustrated by Demi, introduces the power of doubling as the main character outsmarts others by asking for just one grain of rice the first day.   Each successive day she will get double the amount of the day before.   Students are always amazed at how quickly this pattern grows.

See detailed lesson plan for Find a Pattern with "One Grain of Rice" which includes PDF handouts.

The Most Popular Food in the World: Rice challenges students to go beyond the obvious in this folktale and figure out how many people the rice would feed, etc., weaving measurement and real-life applications into extensions of this folktale.   Several different level challenges are available on the site to best meet the needs of different students in middle school math classes.

See The Million \$ Mission for a modern day job offer investigation which challenges students to identify the best payment plan.

## The King's Chessboard

The King's Chessboard, by David Birch, also introduces the power of doubling as the wise man outsmarts the king by asking for just one grain of rice on the first square of the chessboard.   For each successive square he will get double the amount of the previous square.   Although this request initially sounds meager, the king soon discovers that he has been outsmarted as he tries to supply the rice for each of the 64 squares of the chessboard.

See the King's Chessboard Solution.