Modeling Integers with Counters

This video tutorial introduces the concept of adding integers using two colored counters. It explains how to model positive and negative integers with yellow and red counters, respectively. The tutorial demonstrates that combining a yellow and a red counter results in zero. It provides examples of adding integers with the same sign, such as positive six plus positive two and negative four plus negative five, using counters to visualize the process. The video sets the stage for the next lesson, which will cover adding integers with different signs.

What is an integer?

• A number with a fractional component

• A number that is always positive

• A number with a decimal component

• A number without a fractional or decimal component

How is a positive integer represented using counters?

• With blue counters

• With yellow counters

• With red counters

• With green counters

What happens when you combine a yellow counter with a red counter?

• The result is positive two

• The result is positive one

• The result is negative one

• The result is zero

If you have three red counters and three yellow counters, what is the result?

• Positive three

• Negative three

• Zero

• Positive six

How would you model positive six using counters?

• Four yellow and two red counters

• Three red and three yellow counters

• Six yellow counters

• Six red counters

What is the result of adding six yellow counters and two yellow counters?

• Negative eight

• Zero

• Positive eight

• Positive six

How would you model negative four using counters?

• Three red and one yellow counter

• Four yellow counters

• Four red counters

• Two yellow and two red counters

What is the result of adding four red counters and five red counters?

• Positive nine

• Negative one

• Negative nine

• Zero

What does a set of nine red counters represent?

• Zero

• Positive nine

• Positive one

• Negative nine

What will be covered in the next lesson?

• Multiplying integers

• Adding integers with different signs

• Subtracting integers

• Adding integers with the same sign