Blog - Geometiles®

During a recent stop Los Tacos in Temecula, California, I saw the striking and cheerful assorted tiling pictured above. Based ...

I just attended my first non-math, non-STEM conference: the annual international gathering hosted by the Association of Children's Museums (ACM) ...

Pi, the ratio of a circle's circumference to its diameter, is arguably the most famous irrational number. An irrational number ...

Just in time for the 100th anniversary of Black History Month, the Center of Black Student Excellence at the Long ...

As the calendar year draws to a close, I often think about using Geometiles to build a representation of the ...

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 ...

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