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Which 3 go together?
Diego draws a shape with fewer than 5 sides. Two sides are 3 centimeters long. Circle shapes that could be his shape.
Tyler draws a shape with 4 sides. Each side is 2 inches long.
Circle shapes that could be his shape.
Draw another shape that could be Tyler’s shape.
The purpose of this activity is for students to recognize and draw shapes that have specific numbers of sides and corners, and specific side lengths. Students deepen their understanding that shapes in the same category can share many attributes and look different. Students also notice that some attributes can’t go together to form a shape (for example, a shape can’t have 3 sides and 4 corners, or 3 sides and all square corners).
Students may persevere in problem solving if they look for or choose particular attributes that do not go together (MP1). In some cases, such as a shape with 3 sides and 4 corners, they may be able to see right away that no such shape exists. But in other cases, such as a shape with 3 sides and 2 square corners or 6 sides and all square corners, they will need to experiment and reason in order to predict that no such shape exists.
MLR8 Discussion Supports. Invite students to begin partner interactions by repeating the question, “Which attributes match the shape I have drawn?” This gives both students an opportunity to produce language.
Advances: Conversing
Choose your own attributes. Circle 1 in each row.
| sides | 3 | 4 | 5 | 6 |
|---|---|---|---|---|
| corners | 3 | 4 | 5 | 6 |
| side length |
1 side is 2 in. | 2 sides are 2 in. | 2 sides are 3 in. | 4 sides are 2 in. |
| square corners |
0 | 1 | 2 | all square corners |
Draw and name a shape with your attributes. If you can’t draw the shape, explain your reasoning.
Shape:
Name: ______________________________
Choose new attributes. Circle 1 in each row.
| sides | 3 | 4 | 5 | 6 |
|---|---|---|---|---|
| corners | 3 | 4 | 5 | 6 |
| side length |
1 side is 2 in. | 2 sides are 2 in. | 2 sides are 3 in. | 4 sides are 2 in. |
| square corners |
0 | 1 | 2 | all square corners |
Draw and name a shape with your attributes. If you can’t draw the shape, explain your reasoning.
Shape:
Name: ______________________________
Choose new attributes. Circle 1 in each row.
| sides | 3 | 4 | 5 | 6 |
|---|---|---|---|---|
| corners | 3 | 4 | 5 | 6 |
| side length |
1 side is 2 in. | 2 sides are 2 in. | 2 sides are 3 in. | 4 sides are 2 in. |
| square corners |
0 | 1 | 2 | all square corners |
Draw and name a shape with your attributes. If you can’t draw the shape, explain your reasoning.
Shape:
Name: ______________________________
Cover your attribute table. Trade papers with your partner. Guess which attributes they used.
If you have time: Are there any attributes that are impossible to put together to make a shape? Show your thinking, using drawings, numbers, or words.
“Today, we used length measurements to identify and draw shapes.”
Display:
“4 sides
4 square corners
Each side is 3 inches long.”
“Clare has drawn a shape that has these attributes. Which shape did Clare draw? Describe to your partner what the shape would look like.” (Clare has drawn a quadrilateral. It should look like a square.)
Display:
“6 sides
5 corners”
“Diego wanted to draw a shape with these attributes. Is it possible? Explain.” (No, the shape would not be able to close without having the same numbers of sides and corners. The shape would need to have the same numbers of sides and corners.)