The worksheet focuses on modeling integers using two-colored chips to represent positive and negative numbers, where:

• White chips ($\bigcirc$) represent positive integers.
• Red chips ($\bullet$) represent negative integers.

Activity 1: Representing Integers with Two-Colored Chips

The goal here is to sketch models of the integers using these chips.

For the problems in the first row:

• -1: Should be represented with one red chip.
• +4: Should be represented with four white chips.
• 0: Zero is represented with equal numbers of red and white chips that cancel each other out (for example, 2 red and 2 white).
• -3: Represented with three red chips.

Activity 2: Absolute Value with Two-Colored Chips

1. Modeling integers with the fewest chips:

   • -1: Use one red chip.
   • +4: Use four white chips.
   • 0: No chips are needed.
   • -3: Use three red chips.

2. How many total chips are used in each set above?

   • a (-1): 1 chip.
   • b (+4): 4 chips.
   • c (0): 0 chips.
   • d (-3): 3 chips.

3. What is the absolute value of the following integers?

   • a. (-12): 12.
   • b. (+13): 13.
   • c. (0): 0.

Do you want more details or have any questions?

Here are five relative questions:

1. What is the meaning of absolute value?
2. How can two-colored chips help visualize addition of integers?
3. What would the chip representation for -2 + 3 look like?
4. How would you model the integer +5 using two-colored chips?
5. What happens to the chips when the sum of two integers is zero?

Tip: When modeling zero with two-colored chips, always use equal amounts of positive (white) and negative (red) chips.