Higher Education Math GATE

The task: Draw 4 points such that when you connect each point to the other 3 points for a total of 6 line segments, there are exactly 2 distinct lengths of line segments. You must connect each point to every other point.

This product includes

• examples and non-examples to use when introducing this task to kids
• questions to support struggling and advanced groups
• a detailed two page answer key that demonstrates each solution visually

This worked really well with my honors Geometry students, it led perfectly into the symbols we use to show congruent side lengths and the definition of point, line segment, etc and many other geometry topics. It has also been a good challenge for my more advanced 6th and 7th grade students.

My Other Thinking Classroom Tasks

Noncurricular Task: Estimating Rational and Irrational Numbers

Rectangle Area and Perimeter Thinking Problems

Writing Equations from Tables Thin Slicing Task