Multiplying Integers with Two Color Counters

This lesson covers multiplying integers using two-color counters, focusing on negative times negative and negative times positive examples. The video reviews a previous lesson on positive times negative multiplication and introduces new examples. It explains how to model integers with counters and demonstrates the process of removing sets of counters to find products. An alternative approach to solving these problems is also discussed, emphasizing the use of zeros for simplification.

What does a yellow counter represent?

• -1

• +1

• +2

• 0

How do we model negative three using counters?

• One red and two yellow counters

• Three red counters

• Two red and one yellow counter

• Three yellow counters

What is the result of positive four times negative two?

• Positive four

• Positive eight

• Negative eight

• Zero

What does a sea of zeros represent?

• Positive eight

• Undefined

• Negative eight

• Zero

What does negative four times negative two equal?

• Positive eight

• Negative eight

• Zero

• Negative four

How many yellow counters result from negative four times negative two?

• Eight

• Zero

• Two

• Four

What is the outcome of negative four times positive two?

• Positive eight

• Negative eight

• Positive four

• Zero

How can the process be simplified when multiplying negative four by positive two?

• Adding four red counters

• Removing four yellow counters

• Using only yellow counters

• Starting with eight zeros

Is there more than one method to solve multiplication problems with two-color counters?

• No, all problems require the same steps.

• Yes, there are multiple methods.

• No, there is only one correct method.

• Yes, but only for positive integers.

Why might starting with a sea of zeros be more straightforward for beginners?

• It's the only way to get the correct answer.

• It's visually easier to understand.

• It simplifies the concept of zero.

• It requires more counters.