### Map Makers and Math-Makers: Exploring Appel and Haken’s Four Color Theorem Proof

Barbara Alldredge
Average rating:4.9Number of reviews:(52)
Grab some colored pencils and doodle along as we explore the answer to this 150 year old mathematics and cartography question, “Can any map really be colored with just four colors?”

#### Class experience

```This topology course is part of a series of advanced mathematics topics presented in a hands-on format that is accessible to middle school students.

Students will be introduced to the use of counter-examples in mathematical proofs.

Students will be given the opportunity to explain the premise of the four color theorem, namely that “given any separation of a plane into contiguous regions, the regions can be colored using at most four colors so that no two adjacent regions have the same color.”

Students will explore the concept of reduction. That is, replacing a complex problem with a simplified version to find potential patterns that can be applied to the more complex situation.```
```.css-jzlc08{margin-top:0.5em;margin-bottom:0.5em;}.css-wsteir{-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;width:1em;height:1em;display:inline-block;fill:currentColor;-webkit-flex-shrink:0;-ms-flex-negative:0;flex-shrink:0;-webkit-transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;transition:fill 200ms cubic-bezier(0.4, 0, 0.2, 1) 0ms;font-size:inherit;vertical-align:-0.125em;}  2 files available upon enrollmentColored Pencils
Regular Pencil
Several Sheets of Blank White Paper
`Learners will not need to use any apps or websites beyond the standard Outschool tools.`

#### Meet the teacher

Average rating:4.9Number of reviews:(52)
Profile
```I teach math. And other stuff. But mostly math.

I have a  Professional Educator license for the state of Utah and a Level 4 Math Endorsement. That’s a fancy way to explain that I took a LOT of math in college. I’m qualified to teach a variety of... .css-gw2jo8{position:relative;display:inline-block;font-family:'Ginto Normal',sans-serif;font-style:normal;font-weight:500;font-size:1.6rem;text-align:center;text-transform:none;height:auto;max-width:100%;white-space:nowrap;cursor:pointer;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;outline:none;border:none;background:none;padding:0;-webkit-transition:all ease-in-out 0.05s,outline 0s,;transition:all ease-in-out 0.05s,outline 0s,;line-height:1;color:#380596;}.css-gw2jo8:hover:not(:disabled),.css-gw2jo8:focus:not(:disabled){color:#380596;-webkit-text-decoration:underline;text-decoration:underline;}.css-gw2jo8:active:not(:disabled){color:#380596;}.css-gw2jo8:disabled{color:#C2C2C2;cursor:default;}.css-gw2jo8:focus-visible{outline-width:2px;outline-style:solid;outline-color:#4B01D4;outline-offset:2px;}```

#### \$10

per class
Meets once
45 min

Average rating:4.8Number of reviews:(6)
Completed by 19 learners
Live video meetings
Ages 10-13
1-10 learners per class