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Integer Chips Manipulatives

Integer Chips Manipulatives. 2-2. Adding Integers. Course 2. Can you model addition of integers using a number line and integer chips?. Model -7 + -4 using the integer chips. 2-2. Adding Integers. –14 –12 –10 –8 –6 –4 –2 0. 2. Course 2.

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Integer Chips Manipulatives

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  1. Integer Chips Manipulatives

  2. 2-2 Adding Integers Course 2 Can you model addition of integers using a number line and integer chips?

  3. Model -7 + -4 using the integer chips

  4. 2-2 Adding Integers –14 –12 –10 –8 –6 –4 –2 0 2 Course 2 Additional Example 1A: Modeling Integer Addition Use a number line to find each sum. –7 + (–4) –7 +(–4) Start at 0. Move left 7 spaces. Then move left 4 more spaces. –7 + (–4) = –11

  5. Model -12+19 using the integer chips

  6. 2-2 Adding Integers –12 –10 –8 –6 –4 –2 0 2 4 6 8 Course 2 Additional Example 1B: Modeling Integer Addition Use a number line to find each sum. –12 + 19 19 –12 Start at 0. Move left 12 spaces. Then move right 19 spaces. –12 + 19 = 7 Isn’t this the same things as 19-12?

  7. Model -4+-5 using the integer chips

  8. 2-2 Adding Integers –14 –12 –10 –8 –6 –4 –2 0 2 Course 2 Insert Lesson Title Here Use a number line to find each sum. –4 + (–5) –4 +(–5) Start at 0. Move left 4 spaces. Then move left 5 more spaces. –4 + (–5) = –9

  9. Model -7 +12 using the integer chips

  10. 2-2 Adding Integers –12 –10 –8 –6 –4 –2 0 2 4 6 8 Course 2 Insert Lesson Title Here Check It Out: Example 1B Use a number line to find each sum. –7 + 12 12 –7 Start at 0. Move left 7 spaces. Then move right 12 spaces. Isn’t this the same as 12 – 7? –7 + 12 = 5

  11. What’s a way to add integers without using the model (the chips and number line)?You might need to start with explaining how to solve the following problems without the model: 12 + (-6)7 + (-15) Look for a method that works for all problems.

  12. 2-2 Adding Integers Course 2 To add two integers with the same sign, find the sum of their absolute values. Use the sign of the two integers. To add two integers with different signs, find the difference of their absolute values. Use the sign of the integer with the greater absolute value.

  13. Adding Integers • Same Sign Add and Keep • Different Signs Subtract • Keep the sign of the larger number • Then you’ll be exact!! To the tune of ROW ROW ROW YOUR BOAT

  14. 2-2 Adding Integers Course 2 Additional Example 2A: Adding Integers Using Absolute Values Find each sum. –4 + 8 The signs are different. Find the difference of the absolute values. –4 + 8 Think: 8 – 4 = 4. Use the sign of the integer with the greater absolute value. 4

  15. 2-2 Adding Integers Course 2 Additional Example 2B: Adding Integers Using Absolute Values Find each sum. 23 + (–35) The signs are different. Find the difference of the absolute values. 23 + (–35) Think: 35 – 23 = 12. Use the sign of the integer with the greater absolute value. –12

  16. 2-2 Adding Integers Course 2 Insert Lesson Title Here Check It Out: Example 2A Find each sum. –5 + 3 The signs are different. Find the difference of the absolute values. –5 + 3 Think: 5 – 3 = 2. Use the sign of the integer with the greater absolute value. –2

  17. 2-2 Adding Integers Course 2 Insert Lesson Title Here Check It Out: Example 2B Find each sum. –13 + (–24) The signs are the same. Find the sum of the absolute values. –13 + (–24) Think: 13 + 24 = 37. –37 Use the sign of the two integers.

  18. 2-2 Adding Integers Helpful Hint When adding integers, think: if the signs are the same, find the sum. If the signs are different, find the difference. Course 2 Additional Example 3: Evaluating Expressions with Integers Evaluate x + y for x = –42, y = 71. x + y Substitute for x and y. The signs are different. Think 71- 42 = 29 –42 + 71 Use the sign of the integer with the greater absolute value (positive). 29

  19. 2-2 Adding Integers Course 2 Insert Lesson Title Here Check It Out: Example 3 Evaluate x + y for x = –24, y = 17. x + y Substitute for x and y. The signs are different. Think: 24 – 17 = 7. –24 + 17 –7 Use the sign of the integer with the greater absolute value (negative).

  20. 2-2 Adding Integers Course 2 Additional Example 4: Application The jazz band’s income from a bake sale was $286. Expenses were $21. Use integer addition to find the band’s total profit or loss. 286 + (–21) Use negative for the expenses. Find the difference of the absolute values. 286 – 21 265 The answer is positive. The band earned $265.

  21. 2-2 Adding Integers Course 2 Insert Lesson Title Here Check it Out: Example 4 The French Club was raising money for a trip to Washington D.C. Their car wash raised $730. They had expenses of $52. Use integer addition to find the club’s total profit or loss. 730 + (–52) Use negative for the expenses. Find the difference of the absolute values. 730 – 52 678 The answer is positive. The club earned $678.

  22. 2-2 Adding Integers –14 –12 –10 –8 –6 –4 –2 0 2 Course 2 Insert Lesson Title Here Lesson Quiz: Part I Use a number line to find the sum. 1. –7 + (–6) Find each sum. 2. –15 + 24 + (–9) 3. –24 + 7 + (–3) 4. Evaluate x + y for x = –2 and y = –15. –13 0 –20 –17

  23. 2-2 Adding Integers Course 2 Insert Lesson Title Here Lesson Quiz: Part II 5. The math club’s income from a bake sale was $217. Advertising expenses were $32. Use integer addition to find the club’s total profit or loss? $185 profit

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