1. Warm Up 8/26 Find the next two numbers in the pattern: 12, 6, 24, 12, 48, …. Explain your reasoning.

2. Lessons 10, 11 & 12: Multiplying and Dividing Integers

3. Multiplying Integers: Positive # · Positive # Portray 4 + 4 + 4 on a number line. Write a product to describe this expression. Write an equation that relates these two expressions. Write an equation that is a product of two integers. What can we conclude about a Positive # times a Positive #?

4. Multiplying Integers: Positive # · Negative # or Negative # · Positive # Portray (-4) + (-4) + (-4) on a number line. Write a product to describe this expression. Write an equation that relates these two expressions. Write an equation that is a product of two numbers. What can we conclude about a Negative # times a Positive #?

5. The negative sign, really means the opposite of. Thus when you multiple a negative times a negative, it is the same thing as multiplying the opposite times the opposite….which is positive. Multiplying Integers: Negative # · Negative # 0 3 6

6. Multiplying Integers: The Rules

7. Multiplying Integers: Try it out – Output Side 4(-6) -1(-9) (-5)² -5 · 7 -7 · (-8) 12 · (-2) -10(6) 4(11) What about this… -4 · 6(5) Or this… (-3)(-7)(-2)(-3)

8. So Let’s Talk…. What does 3(5) represent?  A real life situation? What does -3(5) represent?  A real life situation? What does 3(-5) represent?  A real life situation? What does -3(-5) represent?  A real life situation?

9. What do you notice about the sign of the numbers in the problem? So what do you think will be true about the rules of dividing integers?

10. Dividing Integers: The Rules The same as multiplication…

11. Dividing Integers: Try It Out

12. Reflection Questions – Talk with your group How do you determine if the quotient of two integer’s is positive or negative? How are products of signed numbers used in real world situations? How are quotients of signed numbers used in real world situations?

13. Exit Ticket