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Name:________________________________________________________________________________Date:_____/_____/__________ 1)_____ 2) ___ Which of the following statements is false ? A. | 15 | = -15 C. | - 2/5 | = 2/5 B. 8 = | 8 | D. 2.6 = | -2.6 | Only one of the following calculations gives you a different result from the others. Which is it? SHOW YOUR WORK! A. 13 - 25 KCC! 3) _____ Life is always POSITIVE outside of jail. B. 25 – 13 C. -13 + 25 D. 25 + (-13) During a winter’s night in Shrek’s swamp, the temperature was 10°F. The wind-chill temperature that same night was -7°F (the swamp was definitely iced over). What was the difference between the actual temperature SHOW YOUR WORK! and the wind-chill temperature? A. -3°F C. 17°F B. 3°F D. -17°F KCC! 4) _____ Which of the following is equivalent to the given expression: 4 - 10 SHOW YOUR WORK! A. 4 + (-10) C. 10 + (-4) B. 10 + 4 D. 10 – 4 ORDER OF OPERATIONS CHALLENGE: Evaluate: 3 (23 x 5 ÷ 4) - 2 28 NOW WITH Negative integers… Evaluate: -4 – (-15 + 32 ) ÷ (-2) -7 PROPERTY PREVIEW Today We will: 1. Begin Properties Foldable 2. Practice the Following Properties: IDENTITY PROPERTY Of Addition & MULTIPLICATION AKA Additive Identity Property and Multiplicative Identity Property Identity Property: The answer STAYS the SAME! Just remember you can secure your identity if you: Add ZERO ______ OR Multiply by ONE _____ Name:________________________________________________________________________________Date:_____/_____/__________ Evaluate: 1) 2 + 5 x 4 = _____ You will solve the following problems as the video presents them. Please do NOT work ahead! Let’s get started . . . Now, let’s watch the video! Video Review 10 x (4 + 5) (5 - 3) + (6 x 2) 3 x 52 Do not move on yet . . . Do not move on yet . . . Do not move on yet . . . (32 + 4) + 6 20 – 10 ÷ 5 40 ÷ 4 x 5 Do not move on yet . . . Do not move on yet . . . Today’s Lesson: What: Order of Operations Why: To evaluate numerical expressions (containing integers) using the Order of Operations. Parentheses “Please Excuse My Dear Aunt Sally!” E xponents Multiplication Division Addition Subtraction P (Parentheses) E (Exponents) M and D (Multiplication and Division left to right) A and S (Addition and Subtraction left to right) Don’t forget the Integer Rules! ADDITION: ADD Absolute Value SUBTRACTION: Change 2. Follow ADDITION Rules Keep Change, ________ 1. _______, MULTIPLICATION/DIVISION: POSITIVE NEGATIVE Guided Practice: 1) (3 + 4)2 49 2) (3 + 4²) 19 What is the difference between #1 and #2?? The location of the exponent! 3) - 5 2 + (-20) -45 4) (-5) 2 + (-20 ) 5 What is the difference between #3 and #4?? The parenthesis around the “-5.” You try!! Here are some examples : A) (-2) 2 = 4 B) -2 2 = -4 C) - (2) 2 = -4 Example: 14 ÷ (-2) + (4 – 6) (-2 ) 3 14 ÷ (-2) + _____ 14 ÷ (-2) + _____ -8 _____ -7 + -8 -15 3 5) 9 – 12 ÷ 2 + (3 – 8) -2 Notice the absolute value bars! 14 7) -15 – (-10) ÷ -2 -20 8) 2 (2 + 3) 2 - 8 42 IXL HOmework Seventh Grade - C.9 Algebra 1 – B.2 https://www.ixl.com/signin/jlsms EARN a Smart Score of 70 & work for at least 10 minutes! DON’T FORGET TO LOG IN! (You won’t receive credit for doing your homework if you are not logged in!) TO LOG IN: CLICK on the IXL button on the Simpson Home Page (left side) Username: given to you by your teacher (Usually your initial of first name, and full last name) Password: math7 • • CLICK on MATH • CLICK on 7th GRADE CLICK on the skill(s) assigned for homework EARN a Smart Score of 70 on the assigned skill(s), then you are done! (Spend at least 10 minutes practicing.) 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. Math-7 NOTES NAME: DATE: ______/_______/_______ What: “Order of operations” Why: To evaluate numerical expressions using the Order of Operations. First: P P Next: (Parentheses) E E Then: Last: (Exponents) M D M and D (Multiplication and Division left to right) A S A and S (Addition and Subtraction left to right) Don’t forget the Integer Rules! ADDITION: SUBTRACTION: MULTIPLICATION/DIVISION: 1. __________, Change, ___________ 2. Follow ADDITION Rules A COUPLE OF NOTES ABOUT PARENTHESIS & EXPONENTS… 1) (3 + 4)2 2) (3 + 4²) What is the difference between #1 and #2??__________________________ 3) - 5 2 + (-20) 4) (-5) 2 + (-20 ) What is the difference between #3 and #4??__________________________ You try!! Here are some examples like the above: A) (-2) 2 B) -2 2 14 ÷ (-2) + (4 – 6) 14 ÷ (-2) + _____ C) - (2) 2 3 3 14 ÷ (-2) + ____ ____ + -8 Notice the absolute value bars! 5) 9 – 12 ÷ 2 + (3 – 8) 7) -15 – (-10) ÷ -2 8) 2 (2 + 3) 2 - 8 IXL: Alg.1 B.2 NAME:______________________________________________________________________________ DATE: _____/_____/__________ Math-7 Extra Practice “Order of Operations” For each of the following, CIRCLE the part of the problem that should be performed first: Evaluate the following using the Order of Operations: 1) 2) 3) 4) 5) 6) 7) 8) 9) The following two students solved the same problem. One is correct and one is wrong. Please choose the correct student: Jack: Jill: 12 – 8 ÷ 2 + (-4) • (-2) 12 – 4 + (-4) • (-2) 12 – 4 + 8 8+8 16 12 – 8 ÷ 2 + (-4) • (-2) 4 ÷ 2 + (-4) • (-2) 2 + (-4) • (-2) -2 • (-2) 4 10) Why was the other student wrong? Please identify the specific mistakes that were made (more than one): NAME:______________________________________________________________________________ DATE: _____/_____/__________ Math-7 classwork “Order of Operations” Evaluate the following using the Order of Operations: 1) 2) 3) 4) 5) 6) To be used with warm up on Day 2. 7) The following two students solved the same problem. One is correct and one is wrong. Please choose the correct student: Billy: Bob: -10 + 8 ÷ (-2) + (14 – -10 + 8 ÷ (-2) + 10 -2 ÷ (-2) + 10 1 + 10 11 22 ) -10 + 8 ÷ (-2) + (14 – 22) -10 + 8 ÷ (-2) + 10 -10 + -4 + 10 -14 + 10 -4 8) Why was the other student wrong? Please identify the specific mistakes that were made: