Activity Overview
In this activity, students explore multiple representations of positive integers. They also learn how to partition positive integers using the number line.
Before the Activity
- Access the NUMLINE application and select the Number Line option
- See the attached PDF file for detailed instructions for this activity
- Print pages 54 - 56 from the attached PDF file for your class
During the Activity
Distribute the pages to the class.
Follow the Activity procedures:
Find the number of partitions for the number 3
Enter 1 + 1 + 1 as the first partition and observe the number line
Enter 1 + 2, 2 + 1, and 3 and observe the number line
Observe that there are three unique ways to split the number 3
Similarly, find the number of partitions for the number 6, and sketch the expressions
Predict the number of partitions for numbers 1 through 10
Use the number line, cups, and marbles to determine the exact number of partitions possible for each number and compare with the prediction
After the Activity
Review student results:
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary