Blog - Geometiles®

The MathHappens Foundation has been "putting the M in STEM Since 2014", but in the past year they've greatly expanded their ...

In my recent blog about the 2025 AIM Math Fair at Caltech, I wrote about an anesthesiologist who was playing ...

I recently rediscovered a shape I hadn't encountered in decades: the Boerdijk–Coxeter helix also known as a tetrahelix. The helix ...

The second annual Math Fair hosted by the American Institute of Mathematics (AIM) on June 28, 2025 at the California ...

This past Saturday, June 14, was the culmination of the weeks long Mass Creativity, a community wide arts program organized ...

After coming back from a tour of the Ronald and Maxine Linde Hall of Mathematics and Physics at Caltech recently, ...

March is National Quilting Month, and I took this opportunity to delve into some of the history and math associated ...

Over the past decade or so, Pi day, March 14 (3/14) had blossomed into a widespread celebration of pies and ...

During the recent Joint Mathematics Meetings, which took place in Seattle, exhibitors were encouraged to contribute to the festive atmosphere ...

As I write this, we are about to welcome year 2025. What is special about the number 2025? It is ...

I have written about Johannes' Kepler's studies of Platonic and Archimedean solids several times on this blog. In those write-ups, ...

Ever since I built a Tetra Pak® model of the Campanus Sphere, I've been dreaming about building one of the ...

Title	Grade Level	Topics	CCSS
Tangrams	Grades 1+	Constructing 2-dimensional shapes	1.G.A.2
Shape Challenge, grade 2 and up	Grades 2+	Constructing polygons	2.G.A.1
Shape Challenge, grade 4 and up	Grades 4+	Constructing polygons; the 4th grade version reflects students’ familiarity with angles and classifying triangles.	3.G.A.1, 4.G.A.1, 4.G.A.2
Fractions	Grades 1 through 5	This sequence takes students from very basic understanding of fractions all the way through multiplying and dividing by fractions.	1.G.A.3, 2.G.A.2, 2.G.A.3, 3.NF.A.1, 3.NF.A.3, 4.NF.A.1, 4.NF.A.2, 4.NF.B.3, 4.NF.B.4, 5.NF
3D Solid Understanding	Grades 2+	Constructing and analyzing a rectangular and other prisms	1.G.A.2
Angle Mania	Grades 4+	Measuring angles, classifying triangles by angle types.	4.MD.C.5, 4.MD.C.7, 4.G.A.1, 4.G.A.2
Ratios plain and golden	Grades 6 through 8	Ratios and proportional relationships; Golden Ratio.	6.RP.A.1, 7.RP.A.2
Volume and Cavalieri's Principle	Grades 6 through 8	Volume and surface area.	HSG.GMD.A1, HSG.GMD.A2, HSG.GMD.A3
Triangles: similar, special, and right	Grades 8+	Similar polygons, special triangles, Pythagorean Theorem, irrational numbers.	8.NS, 8.G.A.4, 8.G.B.6, 8.G.B.7
Platonic and Archimedean Solids	Grades 1+	Platonic and Archimedean solids	Enrichment topic