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Today’s Lesson:. What : adding and subtracting integers Why: To review and apply the rules for adding and subtracting integers . . ADDING INTEGERS:. DIFFERENT SIGNS. SAME SIGNS. _______________. ADD. SUBTRACT . Keep Sign of Larger Absolute Value. ______ _______. Keep
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Today’s Lesson: What: adding and subtracting integers Why: To review and apply the rules for adding and subtracting integers.
ADDING INTEGERS: DIFFERENT SIGNS SAME SIGNS _______________ ADD SUBTRACT Keep Sign of Larger Absolute Value ______ _______ Keep Sign 3 + 7 = 10 -3 + -7 = ? -4 + 2 = -2 4 + -2 = ? Video
examples: -33 -101 -21 95 -79 220
SUBTRACTING INTEGERS: DID YOU KNOW? ALL Subtraction problems are ____________________ problems in disguise! WHY? Because we can re-write every subtraction problem as an addition problem. addition 8 – 12 = 8 + (- 12) = -4 5 – (-1) = 5 + 1 = 6 KEEP, CHANGE, CHANGE! Change these into addition problems: -3 – (-7) and -4 – 2
Let’s practice our “KCC”: -12 + (-6) -14 + 7 5 + (-8) 32 + (-4) -88 + 11 8 + (-10)
Now, let’s solve!: -18 -7 -8 58 -91 23
Word problems: -120 ft. below sea-level.
Word problems: 300 ft. above the ground.
Word problems: The difference is 18⁰ .
Word problems: The difference is 60⁰ .
Word problems: -8⁰F
Word problems: They gained 10 yards (+10).
END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”) represent the homework assigned for that day.
Math-7 NOTES DATE: ______/_______/_______ NAME: What: adding and subtracting integers Why: To review the rules for adding and subtracting integers. ADDING INTEGERS (Review): SAME SIGNS DIFFERENT SIGNS _______________ ADD Keep Sign of Larger Absolute Value ______ _______ examples: 3 + 7 = 10 -3 + -7 = ___ -4 + 2 = -2 4 + -2 = ___
Change these into addition problems: -3 – (-7) and -4 – 2 SUBTRACTING INTEGERS: DID YOU KNOW? ALL Subtraction problems are ____________________ problems in disguise! WHY? Because we can re-write every subtraction problem as an addition problem. 8 – 12 = 8 + (- 12) = -4 5 – (-1) = 5 + 1 = 6 KEEP, CHANGE, CHANGE!
NAME:________________________________________________________________________________DATE: _____/_____/__________ PRACTICE WORK “Add and subtract integers” Adding Integers: Subtracting Integers (re-write as addition problems first– KCC):
NAME:________________________________________________________________________________DATE: _____/_____/__________ PRACTICE WORK “Integer word problems” • Answer the following problems (SHOW WORK). • Steve is balancing his checkbook for the week. He began the week $15.00 in debt (- $15.00). However, he received two paychecks– one for $128.00 and another for $32.00. He also received two bills– one for $84.00 and another for $66.00. After depositing the checks and paying the bills, how much did Steve end up with? • Claire entered the elevator on the 8thFloor. She rode the elevator down nine levels, up six levels, and down four more levels. What floor did she end up on? • Some divers were 25 ft. below sea level. They ascended 12 ft., descended 32 ft., and ascended 40 feet. Where are the divers now? • It was 10°F on Saturday, but the temperature fell 18° by Sunday. What was the temperature on Sunday? • On a snowy day in Maine, the temperature was 14°F, but the wind-chill factor made it feel like it was -4°F. What is the difference between the real temperature and the wind-chill factor? • Write a story problem that represents the following integer problem: • Your problem could be about sports, money, temp., or • something else of your choosing. -5 – 15 + 30 = _____