Frieze Patterns Lesson 3: Creating Frieze Patterns

Australian curriculum number (ACMMG114)

Lesson abstract

Students create their own frieze designs with chosen symmetries. Students work together to apply transformations to a design element which creates a cell. This cell is then repeatedly translated a fixed distance to create a frieze.  A think/pair/share activity is suggested to collaboratively build knowledge. Together they make an attractive class display of friezes made in class or observed elsewhere.

Mathematical purpose (for students)

Use your knowledge of transformations to create and describe your own friezes.

Mathematical purpose (for teachers)

In this lesson students reflect and rotate and translate basic shapes purposefully to create friezes with desired types of symmetry. They will analyse the patterns and may identify centres of rotation and axes of symmetry.