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RepresentationSession 05 OverviewTab atab btab ctab dtab eReference
Part A

Observing Student Representations
  Introduction | Building Viewpoints | Student Work Reflection #1 | More Building Viewpoints | Student Work Reflection #2 | Observe a Classroom | Classroom Practice | Your Journal

 
 

A middle school student was given a different Building Viewpoints problem:


This is the floor plan (or top view) of a structure made from cubes. The numbers in the squares indicate the number of cubes in that stack. Construct this building on the Building Mat.


top view and building mat

Reflect on the problem and think about some questions you would ask this student. Then look at the questions listed below. For each question, think about an answer the student might provide, then select "Show Answer" to reveal a sample response.


Teacher: Can you draw what you would see if you were in front of the structure, looking at it from your eye level?

Show Answer
Student:
Sure:

front side view

 

Teacher: Why are there five blocks in the last column on the right, when the diagram only shows three blocks?

Show Answer
Student:
Because the tallest section on the right has five blocks in it. Even though it's in the back of the building, that is what I will see when I look straight on from the front.
 

Teacher: What happens to the stacks of three and four blocks?

Show Answer
Student:
They are still there –– they're in front of the stack of five, so five is the highest stack I can see.
 

Teacher: What would you see if you were in the back of the structure, looking at it from your eye level? Can you draw this without looking at your structure?

Show Answer
Student:
I'll try:

back side view

 

Teacher: Can you draw what you would see if you were on the right side of the structure, looking at it from your eye level?

Show Answer
Student:
Yes:

right side view

 

Teacher: What part of the structure makes up this drawing?

Show Answer
Student:
The first column of three is the front of the building. The column of four comes from the center, and the column of five comes from the back.
 

Teacher: Without looking at the structure, can you draw what you would see if you were on the left side of the structure, looking at it from your eye level?

Show Answer
Student:
Okay:

left side view without looking at structure

 

Teacher: What part of the structure makes up this drawing?

Show Answer
Student:
Well, from the left side there is one block, one block, and three blocks.
 

Teacher: Look at it from your eye level. Do you want to change anything?

Show Answer
Student:
Oh, it should look like this:

eye level view

 

Teacher: Do you see where your thinking was off at first?

Show Answer
Student:
The tallest column is what you will see. The shorter stacks in front will be hidden by the tallest row.
 

Teacher: Is there another way you could have done this?

Show Answer
Student:
The left side is the reverse of the right side, so I could have just flipped the first drawing I had.
 

Teacher: If you were under the building and looking straight up, what would you see?

Show Answer
Student:
It would be the same shape as from the top.

(Note: The orientation of the shape would depend on where the student was standing: at the front of the building, at the back, at an angle, etc.)


 

next  Reflect on this student work

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