Integer Multiplication Models and Concepts

The video tutorial by Houston Math Prep explores integer multiplication models, focusing on two main approaches: the chip model and the number line model. The chip model uses manipulatives to provide a hands-on experience, demonstrating how opposite integers add to zero and how multiplication can be visualized with groups of chips. The number line model reinforces the concept of multiplication as repeated addition and helps students understand the direction and magnitude of steps on a number line. The tutorial provides examples of multiplying positive and negative integers using both models, emphasizing the concept of opposites and the practical application of these models in teaching integer multiplication.

What are the two models discussed for integer multiplication?

• Number line model and matrix model

• Chip model and graph model

• Graph model and number line model

• Chip model and number line model

In the chip model, what does a positive chip represent?

• Positive two

• Negative one

• Zero

• Positive one

How many negative chips result from multiplying four by negative two using the chip model?

• Six

• Eight

• Two

• Four

When multiplying two negative integers using the chip model, what is the result of negative two times negative four?

• Negative eight

• Zero

• Negative four

• Positive eight

What is a benefit of using the number line model for integer multiplication?

• It is faster

• It uses fewer steps

• It reinforces the idea of opposites

• It is more colorful

In the number line model, what does a positive first number indicate?

• Face left

• Face right

• Take backward steps

• Take forward steps

Using the number line model, what is the result of three times negative one?

• Negative three

• Negative one

• Positive three

• Zero

In the number line model, what does a negative first number indicate?

• Take backward steps

• Face left

• Face right

• Take forward steps

Using the number line model, what is the result of negative four times one?

• Positive four

• Negative four

• Zero

• Negative one

In the number line model, what is the result of negative two times negative three?

• Negative six

• Positive six

• Zero

• Negative three