![]() ![]() If I count all of the thirds in my set model, I count, “1 third, 2 thirds, 3 thirds.” When we divide a set of objects into three groups with the same number of objects in each group, we actually have a name for each of those groups: thirds. Each group contains the same number of objects. I can divide the whole set into three equal groups. I used circles in the above image, which are 2D and might make you think of area, but I could have just as easily used two yellow pencils and one orange sharpener to represent the fraction 2/3. In the set model, the focus is on the number of objects in the set rather than a specific area. If you look at the set model, you might think at first that this model is the same as the area model, but this representation actually has some different features from the area model. So if I count only the parts that are orange, “1 third, 2 thirds,” I can say that 2 thirds, or 2/3, of the whole rectangle is shaded orange. If I count all of the thirds in my area model, I count, “1 third, 2 thirds, 3 thirds.” When we divide a shape or region into three parts with equal area, we actually have a name for each of those parts: thirds. If you look at the area model, you’ll see that the whole rectangle – all of its area – has been partitioned into three equal parts, each with the same area. The top left corner is an area model, the top right corner is a set model, and the bottom middle is a number line. Can you answer these questions with all three models?įirst it might help to differentiate the three models.Where is the denominator represented in the model?.Where is the numerator represented in the model?.Let’s start with this question from the chat:īefore reading on, pick one of the models yourself and analyze it. Today I’d like to continue talking about using and connecting mathematical representations with a focus on fractions. In my previous post, I shared the first few questions I asked at a recent #ElemMathChat I hosted. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |