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Understanding Integer Addition on a Number Line: Strategies and Examples

This lesson introduces students to adding integers using a number line. The warm-up includes placing numbers on a number line, followed by a "Problem of the Day" where students practice moving left and right on the line. The lesson covers adding integers, emphasizing the difference between same and different signs, and includes multiple examples with solutions. Students will learn to evaluate expressions with integers and apply their knowledge to real-world scenarios, such as tracking bank transactions and account balances.

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Understanding Integer Addition on a Number Line: Strategies and Examples

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  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 Warm Up Graph each number on a number line. 1. –5 2. 7 3. –4 4. 0

  3. Problem of the Day Start at 0 on a number line. Move 5 units left and 3 units right. Where are you on the number line? –2

  4. Learn to add integers.

  5. 2 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 Helpful Hint To add a positive number move to the right. To add a negative number move to the left. Additional Example 1A: Using a Number Line to Add Integers Use a number line to find the sum. (–6) + 2 –6 You finish at –4, so (–6) + 2 = –4.

  6. –3 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 Additional Example 1B: Using a Number Line to Add Integers Use a number line to find the sum. –3 + (–6) –6 You finish at –9, so –3 + (–6) = –9.

  7. 7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 Check It Out: Example 1A Use a number line to find the sum. (–3) + 7 –3 You finish at 4, so (–3) + 7 = 4.

  8. 4 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 Check It Out: Example 1B Use a number line to find the sum. (–2) + 4 –2 You finish at 2, so (–2) + 4 = 2.

  9. When adding integers, we must separate the problems in two groups. Same signs Different signs

  10. Additional Example 2: Using Absolute Value to Add Integers Add. A. 1 + (–2) 1 + (–2) –1 B. (–8) + 5 (–8) + 5 –3

  11. Additional Example 2: Using Absolute Value to Add Integers Add. C. (–2) + (–4) (–2) + (–4) –6

  12. Check It Out: Example 2 Add. A. 3 + (–6) 3 + (–6) –3 B. (–4) + 1 (–4) + 1 –3

  13. Check It Out: Example 2C Add. C. (–6) + (–7) (–6) + (–7) –13

  14. Additional Example 3: Evaluating Expressions with Integers Evaluate c + 4 for c = –8. c + 4 (–8) + 4 Replace c with –8. -4 8 > 4; use the sign of 8.

  15. Check It Out: Example 3 Evaluate d + 7 for d = –3. d + 7 (–3) + 7 Replace d with –3.

  16. Additional Example 4: Application Meka opened a new bank account. Find her account balance after the first four transactions listed below. Deposits: $200, $20 Withdrawals: $166, $38 Use a positive sign for deposits and a negative sign for withdrawals. 200 + 20 + (–166) + (–38) Add integers within each group. 220 + (–204) 16 Meka’s account balance after the first four transactions is $16.

  17. Check It Out: Example 4 Michael opened a new bank account. Find his account balance after the first four transactions listed below. Deposits: $175, $95 Withdrawals: $133, $65 Use a positive sign for deposits and a negative sign for withdrawals. 175 + 95 + (–133) + (–65) 270 + (–198) Add integers within each group. 72 Michael’s account balance after the first four transactions is $72.

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