Every year in 5th grade, once we start classifying quadrilaterals, students will continually call a rhombus a diamond. It never ever fails. When doing a i m sorry One Doesn’t belong in 3rd grade yesterday, the same thing happened, therefore Christopher’s tweet came at the most perfect time! (On Desmos here: https://t.co/rZQhu2SGnR)
Of food I had actually to pop right into the exact same classroom now and try it out! The lower right to be so obviously a diamond come me that ns was curious to watch if students experienced the exact same thing and if it changed their reasoning around the rhombus as a diamond.
You are watching: What is the difference between a rhombus and a diamond
Here are pictures of the SMARTboard after ours talk:
After an excellent discussions around number of sides, rotations, decomposition and also orientation, they finally got to the naming piece. Honestly, I was surprised names didn’t come up as one of the an initial things. It started with a student saying the square didn’t belong because it is the just one the doesn’t look like a diamond. The following student stated the lower left to be the only one “that didn’t have actually a name.” as soon as I asked that to define further, he called the square, rhombus, and diamond. Since I knew at the finish of our talk I wanted to ask about the diamond vs rhombus, I wrote the surname on the shapes. Another classmate included on and also said the lower left “may not have a name but it is kite-shaped and looks like it obtained stuck in a tree sideways.” i asked the class what lock thought about the names we had actually on the board and it to be a unanimous commitment on every one of them. Funny how quickly they abandoned their idea from yesterday, so ns reminded them….they were not obtaining off the hook that easy;)
“Yesterday you were calling this rhombus a diamond, what adjusted your mind?”
Students defined that the lower right actually looks like a actual diamond and also the rhombus doesn’t now that they see them together.
“Can we contact both of them a diamond?” i asked. I observed a few thinking that may be a great idea. I had actually them turn and also talk to a neighborhood while i listened to them.
We came ago and they seemed to agree us couldn’t call them both a diamond due to the fact that of the variety of sides. They were really confident in making the dominance that the quadrilateral one had actually to it is in a rhombus and the pentagon was the diamond. I pointed to the kite and asked around that one, because it has four sides. “Could we speak to this a rhombus?” They said no because the political parties weren’t equal, so not a rhombus. And because the didn’t have 5 sides, not a diamond either.
Thank you Christopher! every one of these years of make the efforts to work out that rhombus vs diamond debate settled right here with an excellent conversation all around!
Next up, this one from Christopher…
10 thoughts on “Rhombus vs Diamond”
How great, to switch a conversation which is generally a issue of the teacher informing the (unconvinced) college student what the naming convention is, into one where the students do their means to this themselves.
I have tendency to protect against quadrilateral classification since it gets a tiny namey and boggling (rhombus is special instance of kite, rhombus is special instance of parallelogram, square is special situation of rhombus the is also a rectangle), yet this conversation take away it far from that kind of thing.
I wonder why Christopher made decision a square as his rhombus, fairly than one without same angles? If it was “thinner” it would look diamondy.
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Kids execute like arguing around tomatoes, together “vegetable” or “fruit”.On the other hand they don’t have actually a difficulty with “golden delicious” as a special case of “apple”.