Activity Overview
Students discover a relationship between the Greatest Common Factor (GCF) and the Least Common Multiple (LCM) of two numbers. Students will find and justify the relationship that the product of two numbers is equal to the product of the LCM and the GCF.
Before the Activity
See the attached PDF file for detailed instructions for this activity
Print pages 33 - 36 from the attached PDF file for your class
During the Activity
Distribute the pages to the class.
Follow the Activity procedures:
Use the LCM function on the calculator to find the least common multiple (LCM) of the 2 numbers
Use the GCD function on the calculator to find the greatest common divisor (GCD) of the same 2 numbers
Test Oliver's Method by writing the two numbers as a fraction
Simplify the fraction
Multiply the original fraction by the reciprocal of the simplified fraction to get the LCM
Create a list of two numbers, their GCD, their LCM, and their product
Observe that the product of the two numbers equals the product of the GCD and the LCM of the two numbers
After the Activity
Students will complete the Worksheet and analyze the results.
Review student results:
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary