# Distance & Midpoint on a Map

Standard

Been playing with this idea for a couple of days – here’s a rough sketch.  Rather than having students work a gazillon problems – I’ve decided to use a school map.  I ran a copy of grid paper on a transparency and overlayed on a map of school – copied, added a rough set of axes.  Placed points throughout.

Questions range from:

• Calculate the distance between Room 137 & Room 114.
• Find the coordinates between Room 137  & Room 114.  What room are you closet to at this point?
• Connect Ag, Kitchen, Cafeteria & Workshop.  What type of quadrilateral have your formed?  How do you know?   Prove it.  We have not covered types quads – but they can use their BYOD to find this information if needed, right?
• Connect Library, Room 128, Room 116 and Room 114.  Is it a rectangle?  Or a square?  (LOL) How do you know.  This always comes up in discussion – I must say I love the “disagreements”.
• Connect Room 145, Room 142 and Band.  What type of Triangle have you created?  How do you know?  Prove it.
• Connect the Gym, Library and Tan Hall – Find the perimeter & area of this triangle.
• What about having them “map” out their schedule and calculate “as the crow flies” distances between their destinations.

Anyone else have better ideas?  Other uses for this?

I’m thinking it was @k8nowak who did a scavenger with other geometric concepts.

Algebra Teacher

### 10 responses »

1. What a great idea! Thanks for sharing.

2. definitely interested to see how this goes over – I like it!

• great! thanks!

3. You could possibly turn this into some kind of scavenger hunt. Give them 3 places like: the library, room 203, and the office. Tell them they need to go to the room that has a distance=17. Then at that place you have another clue. At the end they finish in a place where there is some picture of your mascot or something “school spirit” related, you could take a picture of them and you not only have proof they know the material but you are building pride in school.

• what a fun twist! thanks for sharing this idea!

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5. Teaching High School Mathematics: Geometry and Honors Pre-Calculus. Love what I have found so far. Thank you!

• Great! Thank you. Hope you can tweak some ideas for your students!