Warm UpReal 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?

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.

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?

Quick Questions – Pencils Down

Practice (on number lines handout)

On your “number lines” sheet, construct and complete the following…• -6 + 4

• 3 + (-8)

p-value + q-value = sum

1st addend 2nd addend

2 + (-4) = -2Key-concept (Input)

What if we thought like this…..

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?

What would I say here in terms of p-value?

Exercise 2 - Output (Left Side)

p-value + q-value = sum

Example 3: Finding Sums

Sum ___________________________

Teacher Questions (from p. 32)

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?

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