How Many Squares 2? How Many Triangles 1? How Many Triangles 2? How Many Triangles 3? How Many Rectangles? Rectangles Investigation Icosahedron Mystic Rose. Teacher, do your students have access to computers?
Do they have iPads or Laptops in Lessons? Here a concise URL for a version of this page without the comments. How many triangles can you count in this diagram? Click the yellow button to find out.
I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles. S3 have managed to write a formula for the number of triangles in an n-row triangle. Got my little ones on task and ready for their lesson.
Ditta, Stokesley School, North Yorkshire It is a great starter that could be improved if the demonstration counted along with the shading of the different triangles.
Challenging for a class of year 8's, but fun. Mrs Myers' Year 8 gang! It did take us a while though! Mr Sambhi, Solihull Excellent starter. I have used with every class I teach. Mr Cansdale, 7H3 We really enjoyed this activity, we want more of these please! Miss Pankhurst, Norfolk Excellent starter! I have used it with nearly all of my groups and they all got focussed on the task in hand really quickly.
I also used a similar one with a 5x5 square grid and asked "how many squares? Highly recommended! Steven, University of South Carolina This web page is wrong there are actually 2 more than listed. Happily, Norfold State Primary This was a very good activity. The students enjoyed it. There are 2 coming from the 2 vertical sides that were not counted. Matthew, Anchorage, AK 2 more than listed? A great mental exercise. Enrique Martin, Tyler Texas Are you sure there are two more triangles?
It might be a same counted triangle looked from another perspective. Where exactly are the two missing triangles? Matt, Jacksonville, Florida Actually The base of the triangle will then have to be one of the three levels below.
This gives 18, or 3 times 6 triangles. Remember high school math? Johanna Mangahas, Ph. I could have made this much easier on readers—and, crucially, much easier on my inbox—had I just sketched the triangle on plain, white computer paper. But no. I unfortunately drew this triangle on lined paper, and lots of smart people have correctly pointed out that, well, actually , if you count the light blue parallel lines in the image in addition to the dark blue lines written in marker, there are actually more than 18 total triangles here—considerably more.
I never specified to only use those dark blue lines, and thus, I am wrong. You are right. One reader, Ralph Linsangan, totally owned me by sending this image, in which he marks every additional triangle found under the technicality, flagging 17 additional triangles for a total of That kind of dedication is just one of many reasons I love Popular Mechanics readers.
Until the next teaser! Outstanding point , Poingly. Reader James Goodrich took it another step further, suggesting we open our minds to consider what a triangle could be:. I did, James. Begrudgingly, I decided to take one last stab at figuring out just how many additional triangles there could be given our new chaotic rules, and arrived at 43, for a total of Please tell her I love her. Try to figure it out yourself, or learn how to solve it using math. With just 12 pieces but total challenges, Kanoodle will stump both kids and adults with 2-D and 3-D puzzles.
In one of the best puzzle board games of the year , you and up to three other players attempt to craft the stained glass windows of the Sagrada Familia. This fast-paced 3-D puzzle game involves a combination of quick thinking, logic, and luck to stack your spheres to earn the most points.
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