In this digital activity, students will work through the multiplication chart just like Eratosthenes. Unlike Activity 2, in My Sieve Quilt students will need to select all the multiples on their own. Encourage students to search for patterns as they work (for instance, 2's, 5's, and 10's make columns, while the multiples of 3 form a diagonal).

When students identify a prime number, they will select how they wish to color its multiples. This will create a beautiful and unique sieve for each student. In addition, as they find values such as 12 which have more than one prime factor less than 10, the color on their quilt will begin to blend. For example, selecting red for multiples of 2 and yellow for multiples of 3 will leave 12 as orange. Use these patterns to help students realize key findings such as all multiples of 6 are multiples of both 2 and 3.

At the end of the activity, students will have the chance to further design their quilt by adding textures as well as take a picture to memorialize their work.

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