1. Warm Up Real World Integers - Output Answer the questions below on the OUTPUT side. Suppose you received $10 from your grandmother for your birthday. You spent $4 on snacks. Using addition, how would you write a number sentence to represents this situation? How would you model your equation on a number line to show your answer?

2. Lesson 2 & 3: Using the Number Line to Model the Addition of Integers Objective: I can explain the addition of rational numbers, in terms of distance, using a number line. I can interpret sums of rational numbers by describing real-world contexts.

4. Example 1: Modeling Addition on a Number Line 1.Find a partner with the same card number as you, determine who will be A and who will be B. 2.A will stand first. Partner A needs to tell partner B how model the addition on the number line. Partner B can not speak and Partner A can not write. 3.When finished with the first problem, switch roles and answer the second problem. 4.Answer the question at the bottom. - 7 + 4 4 + (-7) What can you say about the sum of −7 + 4 and 4 + (−7)? Does order matter when adding numbers? Why or why not?

5. Quick Questions – Pencils Down

6. Practice (on number lines handout) On your “number lines” sheet, construct and complete the following… -6 + 4 3 + (-8)

7. p-value + q-value = sum 1 st addend 2 nd addend 2 + (-4) = -2 Key-concept (Input)

8. What if we thought like this…..

9. The first number is referred to as the p-value (p). The second number is referred to as q. Therefore simple addition is p + q. What if we thought like this….. What would I say here in terms of p-value?

10. Exercise 2 - Output (Left Side) p-value + q-value = sum

11. Example 3: Finding Sums Sum ___________________________ Teacher Questions (from p. 32)

12. THINK with your group…. How can we use a number line to model and find the sum of −8 + 5? What does the absolute value of a number tell us about the arrows when modeling addition on a number line? How is the sum of two rational numbers related to distance? How are sums of rational numbers used in the real-world?

13. Exit Ticket