Warm-up Let Me Represent You Powerpoint Subtraction of Integers Guided Practice Take It Away! Models and Pictorials.

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Presentation transcript:

Warm-up Let Me Represent You Powerpoint Subtraction of Integers Guided Practice Take It Away! Models and Pictorials

Let Me Represent You (Warm Up) Write the addition sentence represented by the situation and then solve. 1.The football team gained 7 yards in one play then lost 4 yards. 2.The airplane descended 140 feet then rose 112 feet. 3.The squirrel climbed 18 inches up a tree, slipped back 4 inches, and then climbed up 12 inches more. 7 + (-4) = = (-4) + 12 = 26

Subtraction of Integers Solve the following using chips. Kim had 9 CDs. She sold 4 CDs at a yard sale. How many CDs does she have left? 9 CDs- 4 CDs = 5 CDs 5 CDs left

Subtraction of Integers Solve the following using chips. -6 – (-2 ) = -6- (-2) = -4 -4

Subtraction of Integers Micah earned $5 babysitting. He owes Miaya $7. Represent this integer subtraction on the chip board. $5 earned- $7 owed ?

Subtraction of Integers You can’t take away 7 because there aren’t seven black chips to remove. Based on what we have learned so far, what can you do “legally” to get 7 black chips on the board? Why does this work? $5 earned - $7 owed ? Wait for student responses.

Subtration of Integers You can’t take away 7 because there aren’t seven black chips to remove. Based on what we have learned so far, what can you do “legally” to get 7 black chips on the board? $5 earned - $7 owed You can add 2 zero pairs.

Subtraction of Integers Why does this work? $5 earned - $7 owed This works because adding zeros to any number does not change the value of the number.

Subtraction of Integers Solve the problem. $5 - $7 = $5 earned - $7 owed = -$2 Add the zero pairs. -$2

Subtraction of Integers Solve this problem = = -3 Add the zero pairs. -3

Subtraction of Integers Solve this problem (-10) = -6 - (-10) = 4= 4 Add the zero pairs. 4

Subtraction of Integers Solve this problem (+2) = -4 - (+2) = -6 Add the zero pairs. -6

Subtraction of Integers Solve this problem. 3 - (-3) = 3 - (-3) = 6= 6 Add the zero pairs. 6

Subtractio of Integers How do you know how many zero pairs to add to the chip board? How do you know which chips to “take away”? You add the number of chips to the board that is needed to total the amount needed to “take away”. You “take away” the chip color and number according to what is specified in the problem.

Take It Away! (Guided Practice) Draw chips to answer the following subtraction problems – (-3) = 2.+9 – (-2) = 3.-1 – (-11) = 4.-6 – (+13) =

Take It Away! (Guided Practice) Draw chips to answer the following subtraction problems – (-3) = 2.+5 – (-2) = -4 7

Take It Away! (Guided Practice) Draw chips to answer the following subtraction problems – (-11) = 4.-6 – (+3) = 10 -9