# Understanding Categories of Shapes Worksheets

As we begin to work with various geometric figures it is helpful to be able to share the different names of shapes that we may be observing. We now begin to learn the raw categories that they belong in. We have already observed the concept of two and three dimensions of shapes. We now begin to further recognize all their different qualities and how to share them with others. These worksheets will help students learn to sort shapes into categories based on shared features.

### Aligned Standard: Grade 3 Geometry - 3.G.1

- Name The Shape Step-by-step Lesson- Let's play "Name That Shape!"
- Guided Lesson - A ton of shapes to name, color, and identify the dimensions of them.
- Guided Lesson Explanation - This is a long, long one page explanation.
- Practice Worksheet - This is a great exercise. Includes working with circles, squares, rectangles, triangles, rhombuses, pentagons, hexagons, cylinders, cubes, cuboids, and parallelograms.
- Matching Worksheet - Match the shape to it's name.

- Answer Keys - These are for all the unlocked materials above.

### Homework Sheets

We start to introduce some really neat shapes into your world.

- Homework 1- In an equilateral triangle, all sides have the same length. An equilateral triangle is also a regular polygon with all angles measuring 60°
- Homework 2- Two dimensional shapes are shapes that only have 2 length measures and three dimensional shapes have 3 length measures.
- Homework 3-Here we have to name and color the shapes.

### Practice Worksheets

Did you know that a "dodecagon" fits into this standard? I didn't until began to write this section.

- Practice 1- Which of the following has 7 sides?
- Practice 2-Name the shapes and state which are two-and three dimensional.
- Practice 3- Name and color the shapes.

### Math Skill Quizzes

We work further on the vocabulary of shapes.

- Quiz 1- How many circles are there in the below shapes?
- Quiz 2- How many sides are there in the parallelogram?
- Quiz 3- How many sides are there in a triangle?

### What Are the Different Categories of Shapes?

The two categories of shapes that exist include two-dimensional and three-dimensional shapes. All the shapes in the world, lie within these two-categories. It can depend on the view or perspective that you are observing the shape that may indicate one form or another.

**Two-Dimensional Shapes** - The first category of shapes that you need to understand is the two-dimensional shape. These are shapes that have a length and width but no depth. You can see this in the diagram to the right. You can calculate the area and perimeter of these shapes.

## Subcategories of Two-Dimensional Shapes

**a) Polygons** - Polygons are shapes with line segments that join at their endpoints. Quadrilaterals, squares, rectangles, parallelograms, trapezoid, and rhombus are some of the polygons that every kid should know about.

**b) Non-Polygons** - A shape that is not made of line segments fall under the category of non-polygons. Non-polygons may consist of arc lengths or segments that intersect at a point other than the endpoint, such as a square without the fourth side. A circle and a semi-circle are types of non-polygons.

**Three-Dimensional Shapes** - A three-dimensional shape is a solid figure that has a length, width, and depth. All objects in our daily lives have a thickness or a depth and are three-dimensional. You can calculate the surface area and volume of these shapes. Cube, prism, sphere, cone, and cylinder are the types of three-dimensional shapes.