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. It reviews a previous lesson on positive times negative multiplication and introduces new examples with detailed explanations. The lesson also presents an alternative approach to solving these problems, emphasizing the use of counters and simplifying methods.

What color represents a positive integer in the two-color counter method?

• Green

• Blue

• Yellow

• Red

How do you model zero using two-color counters?

• Two yellow counters

• One yellow and one red counter

• No counters

• Two red counters

What is the result of multiplying positive four by negative two using counters?

• Zero

• Positive eight

• Negative eight

• Negative four

When multiplying negative four by negative two, what is the initial step?

• Add four sets of positive two

• Remove four sets of positive two

• Remove four sets of negative two

• Add four sets of negative two

What is the final result of negative four times negative two?

• Zero

• Positive four

• Positive eight

• Negative eight

In the multiplication of negative four by positive two, what do you start with?

• Four red counters

• Four yellow counters

• No counters

• A sea of zeros

What is the result of negative four times positive two?

• Positive eight

• Negative eight

• Zero

• Negative four

What is the benefit of starting with eight zeros in the alternative approach?

• More counters to remove

• Less simplifying required

• Easier to add counters

• More complex calculations

How many red counters are left after removing four copies of positive two in the alternative approach?

• Eight

• Zero

• Four

• Six

What is a straightforward method for beginners when multiplying integers with counters?

• Starting with a sea of zeros

• Using only red counters

• Starting with no counters

• Using only yellow counters