Graph Theory

This lesson is designed for 1st Class, according to the Irish Education System.

Students will build on their understanding of shapes and basic geometry. They will encounter many new shapes with different characteristics and we introduce the terminology of vertex , edge and region . We will also examine 3-D shapes. Students have the opportunity to design their own shapes with unique properties.

The life and work of Leonhard Euler will be discussed. The Euler characteristic will allow students to practice addition and subtraction. Finally, we have developed several computational tools on scratch that should reinforce the lesson content. There is also a quiz for students to test their understanding of the topic.

Graph Theory


This powerpoint contains a brief introduction to graph theory and its history. We also gain an insight into the work of Leonhard Euler and the Euler Characteristic.

There is an option to view the presentation full screen by clicking in the bottom right corner.

Lesson Plan


A description of this lesson for teachers. Includes examples, timings, links to the curriculum, and much more.

View Lesson Plan

Student Booklet


A premade question booklet for students. Available both in a booklet template (only folding neccesary), as well as a full page option.

View Booklet Template

View Full Pages

Computational Tools



The Square

Press the green flag to begin. Follow the instructions. Click on the different letters to reveal a property of the graph.

If at any point you need to reset this tool, press the green flag.

The Pentagon

Press the green flag to begin. Follow the instructions. Click on the different letters to reveal a property of the graph.

If at any point you need to reset this tool, press the green flag.

The Cube

Press the green flag to begin. Follow the instructions. Click on the different letters to reveal a property of the graph.

If at any point you need to reset this tool, press the green flag.

Quiz: Graph Theory

This quiz is designed for students to practice their graph theory.