Integer Chips Manipulatives 2 2 Adding Integers Can

2 -2 Adding Integers Can you model addition of integers using a number line

2 -2 Adding Integers Additional Example 1 A: Modeling Integer Addition Use a number

2 -2 Adding Integers Additional Example 1 B: Modeling Integer Addition Use a number

2 -2 Adding Insert Lesson Title Here Integers Use a number line to find

2 -2 Adding Insert Lesson Title Here Integers Check It Out: Example 1 B

What’s a way to add integers without using the model (the chips and number

2 -2 Adding Integers To add two integers with the same sign, find the

Adding Integers To the tune of ROW ROW YOUR BOAT • • Same Sign

2 -2 Adding Integers Additional Example 2 A: Adding Integers Using Absolute Values Find

2 -2 Adding Integers Additional Example 2 B: Adding Integers Using Absolute Values Find

2 -2 Adding Insert Lesson Title Here Integers Check It Out: Example 2 A

2 -2 Adding Insert Lesson Title Here Integers Check It Out: Example 2 B

2 -2 Adding Integers Additional Example 3: Evaluating Expressions with Integers Evaluate x +

2 -2 Adding Insert Lesson Title Here Integers Check It Out: Example 3 Evaluate

2 -2 Adding Integers Additional Example 4: Application The jazz band’s income from a

2 -2 Adding Insert Lesson Title Here Integers Check it Out: Example 4 The

2 -2 Adding Insert Lesson Integers Title Here Lesson Quiz: Part I Use a

2 -2 Adding Insert Lesson Integers Title Here Lesson Quiz: Part II 5. The

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Integer Chips Manipulatives

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

Model -7 + -4 using the integer chips

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

Model -12+19 using the integer chips

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

Model -4+-5 using the integer chips

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

Model -7 +12 using the integer chips

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

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.

2 -2 Adding Integers 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. Course 2

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

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

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

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

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

2 -2 Adding Integers Additional Example 3: Evaluating Expressions with Integers Evaluate x + y for x = – 42, y = 71. x+y Substitute for x and y. – 42 + 71 29 The signs are different. Think 71 - 42 = 29 Use the sign of the integer with the greater absolute value (positive). 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

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

2 -2 Adding Integers 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) 286 – 21 265 Use negative for the expenses. Find the difference of the absolute values. The answer is positive. The band earned $265. Course 2

2 -2 Adding Insert Lesson Title Here Integers 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) 730 – 52 678 Use negative for the expenses. Find the difference of the absolute values. The answer is positive. The club earned $678. Course 2

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

2 -2 Adding Insert Lesson Integers 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 Course 2