Geometry is not only about naming shapes. It is also about noticing and describing attributes — the properties that make a shape what it is. In this topic, we focus on how students can describe shapes carefully using characteristics such as color, size, thickness, number of sides, number of corners, angle types, side lengths, and symmetry.

Attribute blocks are a helpful tool for building this kind of precise thinking. Students can sort, compare, match, and describe blocks based on one or more attributes. Games with attribute blocks help students practice mathematical language, logical reasoning, and classification. For example, students might find all the blocks that are triangles, all the shapes that are large and red, or all the shapes that are not circles.

We will also use Venn diagrams to sort attribute blocks by different categories. A Venn diagram helps students see how attributes can overlap. For example, one circle might represent “red shapes,” another might represent “triangles,” and the overlap would show shapes that are both red and triangles. These activities help future teachers understand how children develop geometric vocabulary, classification skills, and logical reasoning.

As future teachers, it is important to help students move beyond general descriptions like “that one” or “the pointy shape.” Precise language helps students explain their thinking, compare shapes, and understand how mathematical definitions work.

 

Student Learning Goals

By the end of this topic, students should be able to:

  • Define and identify attributes of shapes.

  • Describe shapes using precise mathematical language.

  • Sort attribute blocks by one or more attributes.

  • Use Venn diagrams to organize shapes by shared and different attributes.

  • Explain how classification supports geometric reasoning.

  • Design or analyze games that help children practice shape attributes.

  • Recognize common student misunderstandings about shape categories.

Key Vocabulary

  • Attribute - A characteristic or property of an object or shape.

  • Attribute Blocks - Blocks that vary by shape, size, color, thickness, or other features.

  • Sort - To group objects based on a shared attribute.

  • Classify - To organize objects into categories based on their properties.

  • Venn Diagram - A diagram that shows how categories overlap.

  • Overlap - The part of a Venn diagram where objects fit more than one category.

  • Polygon - A closed shape made of straight sides.

  • Non-Example - Something that does not fit a category or definition.

  • Precise Language - Clear mathematical words that describe exactly what is meant.

Teacher Connection

Attribute blocks are useful because they help students practice the kind of thinking used in formal geometry. When students sort and describe shapes, they are learning to pay attention to properties, create categories, test examples, and explain why something does or does not belong.

This topic is also a good place to discuss inclusive definitions. For example, students may think a square is not a rectangle because it has a special name. Teachers can help students reason from attributes: a rectangle is a quadrilateral with four right angles, and a square has four right angles, so a square is a special type of rectangle.

Helpful teacher questions include:

  • What do these shapes have in common?

  • What attribute did you use to sort them?

  • Could this shape fit in more than one category?

  • Why does this block belong in the overlap?

  • What would be a non-example of this category?

  • Can you describe the shape without pointing to it?

  • What changed, and what stayed the same?

Quick Reflection Question

Why is it important for children to describe shapes by their attributes instead of only memorizing shape names? How can attribute block games help build this understanding?