Technology Based Activities




Follow the steps listed as you work through the two applets found below! You will also see that below I've included a link to the lesson overview and task sheet if you'd like to print it.


  • Task Sheet PDF



    • 1. Use the Checkboxes to circle all the multiples of 2, 3, 5, 7, and 11. What patterns do you see in the multiples of each of these numbers? (Check the boxes one at a time and record the patterns you see)

    2. After circling all the multiples of 2, 3, 5, 7, and 11, which numbers are left over? What's special about these numbers?

    3. We can see that this sieve works for the first 100 numbers; do you think that we could extend it to work for even higher numbers? How?





  • Sieve of Eratosthenese Link



    • Now that we've seen an ancient method of determining primality, let's use the applet found below to continue with the activity.




  • Prime Numbers Applet Link



    • 1. Use the input box or the slider to test the primality of any number "a" from 1 to 1000.

    2. Choose a number for "a", create a factor tree, and try to find its prime factorization.

    3. Did you find the correct prime factorization? Use the checkbox to verify the answer you found.

    4. Is 1 prime? If not, why do you think that is?

    5. Can negative numbers be prime?

    6. Use what you've observed (or already know) about prime numbers to come up with a formal definition of "a prime number"

    7. Can you find some pattern to the distribution of these prime numbers?




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