## Decomposing Three-dimensional Figures

#### Aligned To Common Core Standard:

**Grade 7 Geometry** - 7.G.A.3

How to Decompose Three-dimensional Figures - Decomposing shapes is a handy skill to have, and kids should be familiar with it as it is very useful in many professions in the future. Decomposing 3D shapes allows students to have a better understanding of edges, faces, and vertices through pictorial aid. For example, when decomposing a cube. Kids need to look at the real-cube from all sides and identify what the shapes that are included in the figure are. Once the evaluation is done, students can easily make smaller pieces of those shapes and then connect them. Here is how you do it. There are six faces of a cube. All the faces are equal and square-shaped. Create different nets of a rectangular prism on a one-inch graph paper Find rectangles with the same dimensions and then color them the same. It implies that you will have three sets of rectangles, all equal in size. Cut around the outside of the net. Repeat the process for different net sizes. These worksheets and lessons will help students break apart three dimensional shapes into their features.

### Printable Worksheets And Lessons

- Sides of a Rectangle
Step-by-step Lesson- What does a three dimensional rectangle
look like from a different vantage point?

- Guided Lesson -
Let's walk around and look at a three dimensional triangle and a
blocky rectangle.

- Guided Lesson Explanation
- Putting an eye on the answer sheet is key to really comprehending
this skill.

- Practice Worksheet
- This is a hug smorgasbord of three dimensional shapes looked at
from a 2-D perspective.

- Matching Worksheet - This one zooms right by. Don't get tricked on the last two problems.

#### Homework Sheets

Pay close attention to the arrow or the position of view.

- Homework 1 - If you were to look at this object from the right side, what will you see?
- Homework 2 - Look at this figure below. If you see this shape from the right, what would you see?
- Homework 3 - If you were to look at this object from the current position, what will you see?

#### Practice Worksheets

These are some of my favorite worksheets because they challenge you on many fronts.

- Practice 1 - If you were to look at this object from the side, what will you see?
- Practice 2 - If you see this shape from the top, based on its current position, what would you see?
- Practice 3 - Look at this figure below. If you were to look at the shape from your current position, what would you?

#### Math Skill Quizzes

The precise with which these were put together was better than just about any of my other work.