Understanding Modulo 12 with Desmos

This lesson demonstrates how to evaluate modulo 12 using the Desmos graphing calculator. It covers three examples: 17 mod 12, 127 mod 12, and 326 mod 12, showing how to calculate the remainder when each number is divided by 12. Each example is verified using Desmos, and the concept of congruence is introduced. The lesson concludes with a summary of the calculations and their verification.

What is the remainder when 17 is divided by 12?

• 4

• 3

• 6

• 5

Using Desmos, how would you enter the expression to find 17 mod 12?

• mod(12)

• mod(12, 17)

• mod(17, 12)

• mod(17)

What is the remainder when 127 is divided by 12?

• 5

• 6

• 7

• 8

How can you express 127 mod 12 using congruence notation?

• 127 ≡ 7 (mod 12)

• 127 ≡ 6 (mod 12)

• 127 ≡ 8 (mod 12)

• 127 ≡ 5 (mod 12)

What is the remainder when 326 is divided by 12?

• 1

• 2

• 3

• 4

Using Desmos, how would you enter the expression to find 326 mod 12?

• mod(326, 12)

• mod(12, 326)

• mod(12)

• mod(326)