2D Shapes Teaching Resources
Bring dimension to 2D shapes for elementary students with printable worksheets, digital activities, math games and more — created by teachers for teachers!
This comprehensive collection of teaching resources includes editable curriculum-aligned lessons on two-dimensional shapes, all ready to be printed and used in the classroom. Explore the entire collection to find educational games, geometric activities, posters and vocabulary word wall cards to assist your students when they are learning to identify 2D figures by their names and their attributes.
Teaching this part of the math curriculum for the first time in a while? Read on for a primer from the teachers on the Teach Starter team.
What Are 2D Shapes?
Two-dimensional shapes, or 2D shapes, are shapes that have only length and width, but no depth. Each of these geometric shapes has its own unique characteristics and properties, such as the number of sides, the types of angles and the relationship between the sides and angles.
For example, a square has four equal sides and four right angles, while a circle has no sides and no angles.
Teaching about 2D geometric shapes is crucial in those early primary grades as these are the building blocks of more complex geometric concepts. Understanding them is an important foundation for developing spatial reasoning skills. It will also lay the groundwork for learning about symmetry, angles, perimeter and area, among other geometry and measurement concepts.
2D Shapes — A Kid-Friendly Definition
Looking to provide a simple definition for your primary-grade students? Here's a kid-friendly definition you can use:
A 2D shape is a flat shape that has only two dimensions — length and width. When something is two-dimensional, it's flat, like a drawing or a picture on a piece of paper.
Understanding 2D shapes is important because it helps us recognize and describe the shapes we see around us, and it can also help us with math and other subjects.
2D Shape Examples
A definition is a good start, but providing concrete examples will help students begin to wrap their heads around these two dimensional-objects!
Let's look at some common examples of 2D shapes that we teach in elementary school:
Square
A square is a 2D shape with four straight sides that are all equal in length and four right angles. It is a type of rectangle and a type of parallelogram.
Rectangle
A rectangle is a 2-dimensional shape that has four straight sides. Unlike a square, a rectangle has two sides that are longer than the other two. It has four right angles and opposite sides that are parallel and equal in length.
Parallelogram
Like a rectangle and square, the parallelogram has four sides and is considered a 2D shape. The four straight sides of a parallelogram are parallel to each other. Opposite sides of a parallelogram are equal in length, and opposite angles are equal in measure. Squares, rectangles, and rhombuses are all examples of parallelograms.
Trapezoid
A trapezoid is a quadrilateral shape with two parallel sides and two non-parallel sides. The parallel sides are called the bases of the trapezoid, and the non-parallel sides are called the legs. Even though a trapezoid has four sides, it is not a parallelogram!
Triangle
A triangle is a two-dimensional shape that has three straight sides and three angles. The angles of a triangle always add up to 180 degrees.
Circle
A circle is a 2D geometric shape that is round and has no straight sides. It is defined as the set of all points in a plane that are at a fixed distance (called the radius) from a single point (called the center).
Ellipse
An ellipse is a 2D shape that is similar to a circle, but its shape is stretched out or elongated. It is defined as the set of all points in a plane whose distances from two fixed points (called the foci) add up to a constant value.
Pentagon
A pentagon is a 2D shape that has five straight sides and five angles. The word "pentagon" comes from the Greek words "penta" (meaning "five") and "gonia" (meaning "angle"). Each angle of a regular pentagon measures 108 degrees, and the sum of the angles in a pentagon is 540 degrees.
Hexagon
A hexagon is a 2D shape that has six straight sides and six angles. Each angle of a hexagon measures 120 degrees, and the sum of the angles in a hexagon is 720 degrees. Snowflakes are a common example of hexagons found in nature, and so is the honeycomb!
Rhombus
A rhombus is a 2D shape with four straight sides that are all equal in length. It is a type of parallelogram, and it has opposite angles that are equal in measure.
Octagon
An octagon is an eight-sided 2D shape. A stop sign is an octagon that students might recognize from seeing it along the road on the way to school.
Quadrilateral
A quadrilateral is a 2D shape with four sides and four angles. The sum of the interior angles of a quadrilateral is always 360 degrees. The following are all examples of quadrilaterals:
- Square
- Rectangle
- Parallelogram
- Trapezoid
- Rhombus
What Are Polygons?
Many of the 2D shapes that students learn about are polygons.
A polygon is a 2D shape that has three or more straight sides and angles. Polygons can have any number of sides, but they must be straight, and they must not cross each other.
The word "polygon" comes from the Greek words "poly" (which means "many") and "gonia" (which means "angle").
Here are some common examples of polygons:
- Triangles
- Squares
- Rectangles
- Pentagons
- Hexagons
- Octagons
A circle and an ellipse are both 2D shapes, but they are not polygons. They have a curved shape, while polygons consist of a closed structure with sides.
2D Shapes in Kindergarten
Teaching kindergarten this year? You'll find circles, squares, and more are part of your curriculum.
Introduce your class to these basic 2D shapes and help them learn to identify them by their characteristics and properties, such as the number of sides, corners or curves.
At this stage, students should learn the names of these shapes and be able to draw or trace them. They also might be taught to sort and classify shapes based on their attributes.
2D Shapes Throughout Elementary School
As students leave the primary grades and develop their math skills, they will learn about the relationships between different 2D shapes, such as:
- How a rectangle is made up of two congruent squares
- How a square can be divided into two congruent rectangles
- How to measure different features of shapes
- Learning that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and the shared attributes can define a larger category (e.g., quadrilaterals).
- Classify two-dimensional figures in a hierarchy of sets and subsets using graphic organizers based on their attributes and properties.
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Spatial Reasoning Worksheets
Share these spatial reasoning worksheets with your students to help them master spatial relationship and composite shape standards.
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Ye Olde Geometry Town Project
Build a charming medieval town with our Ye Olde Geometry Town project, designed to give your students engaging hands-on practice with multiple geometry and social studies standards.
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Perpendicular and Parallel Lines Activity — Board Game
Play this perpendicular and parallel lines activity with your students to give them practice identifying line types in a variety of settings.
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Classifying 2 Dimensional Shapes Number Talk Task Cards
Spark discussion with these classifying 2 dimensional shapes number talk task cards
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Parallel and Perpendicular Lines PPT — Teaching Slides
Download this parallel and perpendicular lines PPT to engage your students as you teach them about different line types!
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Intersecting, Parallel, and Perpendicular Interactive Games
Play parallel and perpendicular lines interactive games in your classroom to spice-up your geometry lessons!
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Drawing Parallel Lines and Perpendicular Lines Worksheet Set
Utilize this drawing parallel lines and perpendicular lines worksheet set to give your students practice drawing line types on their own and on 2D shapes.
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Parallel and Perpendicular Lines in 2D Shapes Sorting Activity
Identify parallel and perpendicular lines in 2D shapes in this engaging sorting activity!
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Fire Truck Printable Math Worksheets (PK-K)
Build number and 2D shape identification skills with our Fire Truck Printable Math Worksheets for Pre-K and Kindergarten.
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2D Shapes Puzzle Pack
Use these 2D shape puzzles to help familiarise your students with the most common two-dimensional shapes.
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Identify and Color 2D Shapes Worksheet
Use this 2D shapes worksheet to help your students identify 8 of the most common two-dimensional shapes.
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2D Shapes Flashcards
Use these 2D shapes flashcards to help familiarize your students with the most common two-dimensional shapes.
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5th Grade Geometry Test
Assess your students' skills with quadrilaterals, coordinate grids, and volume of solid figures using a printable 5th Grade Geometry Test.
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Draw the 2D Shape! Worksheet
Use this single-page symmetry worksheet to spark students’ creativity, as they think of and draw shapes which fit the provided lines of symmetry.
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Sorting Symmetrical Shapes Worksheets
Use this simple but effective symmetry worksheet to reinforce the concepts of symmetrical and asymmetrical shapes with your Fourth Grade students.
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Sorting by Symmetry: 2D Figure Task Cards
Help students practice sorting 2D shapes by the number of lines of symmetry using this fun set of mathematics sorting cards.
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Is It a Line of Symmetry? Worksheets
Assign this lines of symmetry worksheet to your students to check their understanding of the existence of a line of symmetry on various 2D shapes.
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Symmetry Picture Task Cards
Use these fun and colorful symmetry picture task cards to help students identify lines of symmetry in both everyday objects and 2D shapes.
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Find the Line of Symmetry Interactive Resource
Have fun with your class using this interactive learning tool to find the line of symmetry on various shapes and objects!
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Matching Lines of Symmetry Worksheets
Introduce the concept of ‘multiple lines of symmetry’ to your Grade Fours with this match-up worksheet set.
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Shape Investigation 2D Figures Task Cards
Combine fun and learning with these 2D shapes and symmetry task cards for your Fourth Grade students!
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Symmetry Pattern Design Worksheet
Have your students create real-world symmetrical representations using this 3-page symmetry worksheet set and a set of pattern blocks.
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Pattern Block Butterflies Symmetry Task Cards
Bring some colorful fun into your classroom with these symmetry butterflies, a hands-on learning activity for young students to explore the concept of symmetry.
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Pattern Block Flowers Interactive
Use this flower-themed interactive activity for your students to practice using manipulatives to create or expand on shapes using a pattern or symmetry model.
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Identifying Lines of Symmetry Worksheets
Use this set of differentiated worksheets to help students practise the process involved with identifying lines of symmetry on two-dimensional shapes.
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Identifying Lines of Symmetry Interactive Activity
Explore this rail-yard themed interactive activity with your students to teach them how to identify lines of symmetry.
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Identifying Lines of Symmetry Poster
Display this poster in your classroom as a reference tool for students to learn to identify lines of symmetry.
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Angles 4th Grade Math Project – Design a Room
Turn your students into interior designers with this inquiry-based math project based on drawing and measuring angles.
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Angle Word Problems – 4th Grade Math Worksheet
Download these angles word problem worksheets so your students can practice calculating missing angles.
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Angle Word Problems Teaching Slides
Help your students tackle angle word problems with ease using this step-by-step problem-solving guide.
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Halloween Shapes - Color By 2D Shapes Worksheet
Don’t get too spooked while trying to identify 2D shapes with a printable Halloween Shapes Color by Code worksheet!
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Halloween Shapes Worksheet - Batty for 2D Shapes
Go batty and identify the 2D shapes with a printable Halloween Shapes worksheet.