# Binary Numbers, Base Two System, Place Values

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## 3D model description

A scaffold for children to learn about binary numbers or numbers in the base two number system (0 to 11111, corresponding to 0 to 31 in the base ten system). The stand has five positions and is about 120mm long. It takes five number pieces to play the binary game (ranging 0 from 31).

The number piece has "1" on the front and "0" on the back. I have designed the numbers for easy sliding and 3D printing. Have fun!

## 3D printing settings

There is little doubt that children today need to have a working knowledge of the base two system. It is also helpful for them to develop insight into the common base-ten system. Indeed, any number can be equivalently representations on any base B (B>1).

Lesson Plan and Activity
There are many ways to use the binary game board. Here is one way to interact with a child.
To begin with, ask a child to think of a number between 0 and 31 without revealing it to you. Then, you ask, "Is your number bigger or equal to 16?" If the answer is yes, then place a "1" in the 16 slot and subtract 16 from the original number to get the remaining number. Otherwise, place "0" in the 16 slot and move on. Ask similar questions about the left-over using 8, 4, 2, and 1, placing either "1" or "0" in the corresponding slot. The result is the base-two representation of the child's original number. It is essentially binary sorting using the place values.

## 3D printer file information

• 3D design format: STL Folder details Close
• BaseTwoSystemModel_ver_a.stl
• BaseTwoSystemModel_ver_b.stl
• NumberArray_30pieces.stl
• NumberArray_5pieces.stl
• NumberOneNZero.stl

• Publication date: 2017/12/26 at 19:42

## Creator

STEAM educator, learning from and working with K-12 STEAM teachers to explore new ideas of teaching and engagement. I firmly believe ART is at the core of STEM learning or all human learning! I owe my ideas and designs to the hundreds of K-12 children and teachers and university professors I have had the pleasure of working with, in multiple disciplines-- math, science,engineering language arts, social studies, early childhood education and more! All mistakes, of course, are mine! There is no warranty or liability whatsoever implied or explicit behind the designs or ideas. They are all posted for their potential educational values.

When working with children, please strictly observe all safety and health procedures! Please refer to the NSTA safety guides: http://www.nsta.org/safety/.

LGBU Contact: LGBU@SIU.EDU

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