Independent Exploration -- Student Task
1. a. This is a picture of a unit cube. How many unit cubes will it take to make the building below. The
building is completely filled in with unit cubes, there are no empty spaces.
1. b. [Show a multi-link cube] This is a cube, and this is how it is drawn. [point to the drawing at the right]. How many cubes does it take to make the building below? It is completely filled with cubes, with no empty spaces inside.
2. If you completely fill the box below with cubes [ point to the outer box], how many cubes will be in the
box?
3. [Show a multilink cube building that is four by four on the bottom and three high. Place it in an open box,
with one face untaped, with one face untaped.] These cubes completely fill the paper box. How many
cubes are there? [Take the cube building out of the box. Students can touch the cubes of the box, but
can take neither apart.]
4. Suppose we completely fill the rectangular box below with a rectangular cube building. The box is
transparent, so you can see the building through the box’s sides.
After we fill the box we look straight at the building from its FRONT, TOP and RIGHT SIDE [indicate
orthogonal viewing lines with a pencil.]
From the FRONT, it looks like this: [ Indicate the figure above and at the left.]
From the RIGHT SIDE, it looks like this: [Indicate the figure above at the upper right.]
From the TOP, the building looks like this, [ Indicate the figure at the bottom right]
The student task was followed with data pages for recording student responses. The entire file can be downloaded below.
independent_exploration_-_student_task_page.pdf | |
File Size: | 253 kb |
File Type: |