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1 Name Date Period # Adding and subtracting Integers Teaching Point: Add and subtract integers by using a rule Standards: 7.NS.A.1a, b, c, d Adding Integers: Same sign: The sum of two positive integers is positive. The sum of two negative integers is Different Signs: Find the absolute value of each integer. Subtract the lesser absolute value from the greater. The sum has the sign of the integers with the absolute value. Examples: GUIDED PRACTICE PROBLEMS: Tell whether the answer is positive, negative or zero, then answer the problem = ( 3) = positive negative zero positive negative zero answer answer INDPENDENT PRACTICE PROBLEMS: : Tell whether the answer is positive, negative or zero, then answer the problem ( 8) = ( 3) = = Pos. Neg. Zero Pos. Neg. Zero Pos. Neg. Zero Ans. Ans. Ans ( 9) = = ( 9) = Pos. Neg. Zero Pos. Neg. Zero Pos. Neg. Zero Ans. Ans. Ans.

2 Subtracting Integers: To subtract an integer, add its opposite Arithmetic GUIDED PRACTICE: Simplify each expression: 1. 8 ( 4) = ( 11) = INDEPENDENT PRACTICE: simply each expression: 1. 5 ( 10) = = 3. 4 ( 19) = = ( 17) = ( 15) =

3 Problems Solving: PROBLEM SOLVING GUIDE LINE: 1. UNDERSTAND THE PROBLEM: A. Can you state the problem in your own words? B. * What are you trying to find or do? C. * What are the unknowns? D. * What information do you obtain from the problem? E. * What information, if any, is missing or not needed? 2. CREATE A PLAN The following list of common strategies to use A. Look for a pattern. B. Examine related problems, and determine if the same technique can be applied. C. Examine a simpler or special case of the problem to gain insight into the solution of the original problem. D. Make a table. E. Make a diagram. F. Write an equation. G. Use guess and check. H. Work backward. I. Identify a sub goal. 3. CARRY OUT THE PLAN A. implement the strategy or strategies in step 2, and perform any necessary actions or computations. B. Check each step of the plan as you proceed. This may be intuitive checking or a formal proof of each step. C. Keep an accurate record of your work. 4. CHECK YOUR WORK - LOOK BACK A. Check the results in the original problem. (In some cases this will require a proof.) B. Interpret the solution in terms of the original problem. Does your answer make sense? Is it reasonable? C. Determine whether there is another method of finding the solution. D. If possible, determine other related or more general problems for which the techniques will work. GUIDED PRACTICE: A scuba diver descends from the surface of a lake and swims to 43m below the surface to observe fish. She then swims farther down to reach the bottom. What is the depth of the bottom of the lake?

4 INDEPENDENT PRACTICE: 1. The highest temperature recorded in North America is 134 o F in Death Valley, California and the lowest recorded temperature is 87 0 F in Northice, Greenland. What is the range between the temperatures of the two cities? 2. Mr. Sanchez is a stockbroker in New York. He uses a table to determine whether it is a good time to contact various brokers offices around the world. GOOD TIME TO MAKE CALLS A. If it is 7 AM in his office, what time is it in Honolulu? B. Do you think it is a good time for Mr. Sanchez to make a call to Honolulu? Why? CITY HOURS Honolulu -5 Anchorage -4 San Francisco -3 Chicago -1 Paris 6 Tokoyo 14 C. Which cities would be okay for Mr. Sanchez to call and Why?

5 HOMEWORK: Adding and subtracting Integers HOMEWORK: Adding and subtracting Integers 1. ( 12) + 7 = 2. ( 10) + 7 = 3. ( 6) +12 = 4. ( 45) + 9 = ( 5) = = 7. 2 ( 2) = 8. ( 1) 10 = ( 31) = ( 29) = ( 11) = ( -13) + 5 = ( 8) = = ( 15) + ( 25) = Problem Solving 1. Your checking account is overdrawn by $50. You write a check for $20. What is the balance in your account? 2. A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position? 3. A roller coaster begins at 90 feet above ground level. Then it descends 105 feet. Find the height of the coaster after the first descent. 4. The price of a share of stock started the day at $37. During the day it went down $3, up $1, down $7, and up $4.What was the price of a share at the end of the day? 5. Steve has overdrawn his checking account by $27. His bank charged him $15 for an overdraft fee. Then he quickly deposited $100. What is his current balance.

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