To elicit creative student thinking, this open-ended problem asks solvers to measure as many squares as possible using a certain size of cardboard.
little problems with big solutions
Annie Perkins and Pamela J. Wells
Dana C. Cox and Jane-Jane Lo
Incorporate simple and complex figures, distortion and proportion, and visual reasoning into your discussion of similarity.
a good idea in a small package
Scott A. Goldthorp
A student-centered, inquiry-driven classroom explores the Pythagorean theorem.
Matt B. Roscoe and Joe Zephyrs
Pull on the threads of congruence and similarity in a series of lessons that explores transformational geometry.
Students are given an activity in which they analyze the American flag, with an eye to its proportions. Solutions are online.
Kate M. Degner
An activity explores how to estimate the height of trees. Activity sheets are included.
Dana C. Cox and Michael Todd Edwards
How do middle school students interpret the phrase “two sizes too small”? Examining students' responses will re-form your thinking about teaching similarity and using nonstandard shapes.
Sarah B. Bush, Karen S. Karp, Victoria Miller Bennett, Liz Popelka, and Jennifer Nadler
An interdisciplinary activity connects mathematics and art from The Barnes Foundation museum in Philadelphia.
This activity allows students to build their own understanding of what it means to develop a solid argument.
Priya V. Prasad
Knitting, like other traditional crafts such as quilting or weaving, is a highly mathematical activity. Knitters need to constantly coordinate different forms of measurement, including weight, length, and area. Knitting typically involves following a pattern. If you do not follow that pattern, you can find yourself dealing with some pretty complicated knot theory.