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Name:________________________________________________________________________________Date:_____/_____/__________ Evaluate the following ADDITION problems: 1. 25 + (-3) = 2) -4 + (-26) = 3) -82 + 2 = 4) -8 + (-100) = 5) 12 + (-42) = Evaluate the following SUBTRACTION problems: 6) 8 – 20 = 7) -26 – 6 = 8) 9 – (-4) = 9) -2 – (-18) = 10) -14 – 7 = Evaluate the following MULTIPLICATION problems: 11) 3 • (-6) = 12) -9 • 4 = 13) -5 • (-7) = 14) -8 • 8 = 15) -2 • (-50) = Evaluate the following DIVISION problems: 16) 100 −2 = 17) −49 −7 = 18) −30 5 = 19) 90 −10 = 20) BONUS: There are 28 doughnuts. If there are 7 officers, how many doughnuts does each officer get? Teacher will show video to show “answer.”Video −12 −4 = What’s in the Mailbox Integer Lab (teacher will give directions) Today’s lesson . . . What: Introduction to integers Why: To introduce integers, identify real-life applications, compare/order integer numbers, and study the absolute value of numbers. What is an integer? negative Integers include the _____________________ whole numbers, the positive whole numbers, and zero. Real-life Applications: Identifying positive/negative numbers: Place the following numbers on the below number line: 0 -5 -3 ½ 0.5 -0.5 -41/4 0 9.5 -8.5 Comparing positive /negative numbers: Place a > or a < in the following blanks: > -8 5 _____ < 0 -1 _____ < -5.5 -3 _____ > - 3.75 -6 _____ -1/ 2 > -1 _____ < -9 -10 _____ Ordering positive/ negative Numbers: Order the following from least to great: -1/ -25 3 0 -4.5 51/4 2 1. -25, -4.5, -1/2 , 0, 3, 5 ¼ Order the following from greatest to least: -8 -9 -8.5 7 -7.5 -7 2. 7, -7, -7.5, -8, -8 .5, -9 Absolute value: distance Absolute Value measures ___________________ zero from ________________ on a number line. positive Absolute value is ALWAYS __________________ because distance ALWAYS has value!! The SYMBOL for ABSOLUTE VALUE is | | ! Example: Model the absolute value of 3 (|3|) on the below number line: 0 Evaluate: |9| | -4| 9 4 - |- 28| |-6| + | 5| - 28 11 -|15| -15 |-3/4| ¾ |15 - 16| |12 - 14| 1 2 WHY IS ABSOLUTE VALUE ALWAYS POSITIVE?? Because distance ALWAYS has value!! 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 represent the homework assigned for that day. Math-7 NOTES NAME: DATE: ______/_______/_______ What: Introduction to integers Why: To introduce integers, identify real-life applications, compare/order integer numbers, and study the absolute value of numbers. What is an integer? Integers include the _______________________________ whole numbers, the positive whole numbers, and zero. Real-life Applications: Identifying positive/negative numbers: Place the following numbers on the below number line: 0 -5 -3 ½ 0.5 - 0.5 -4 1/4 9.5 -1/ 2 _____ -1 0 Comparing positive /negative numbers: Place a > or a < in the following blanks: 5 _____ -8 -1 _____ 0 -6 _____ -5.5 -3 _____ - 3.75 -10 _____ -9 -8.5 Ordering positive/ negative Numbers: Order the following from least to great: -25 3 0 -1/ 2 -4.5 51/4 -7.5 -7 1. Order the following from greatest to least: -8 -9 -8.5 7 2. Absolute value: Absolute Value measures _____________________ from ________________ on a number line. Absolute value is ALWAYS ______________________ because distance ALWAYS has value. Example: Model the absolute value of 3 (|3|) on the below number line: Evaluate: |9| | -4| - |15| |-3/4| - |-28| |-6| + |5| |15 - 16| |12 - 14| NAME:________________________________________________________________DATE: _____/_____/__________ Homework/ Practice “Integers and Absolute Value” Place the following numbers on the number line: -2 -6 1 5 9 -7 -4 ½ -2.5 -3.2 6.75 -8.1 -1/3 0.9 O Fill in the blank with < > or = : 1) 10 ______ 12 2) 0 ______ -12 3) 1/3 ______ 25% 4) 5) 6) -15 ______ -15.1 -5 ______ -5.5 -2 ______ -1.2 Absolute Value: 7) Absolute value measures a number’s ________________________________ from zero on a number line. 8) Because absolute value is a measure of distance, it is always ____________________ because distance always has value. 9) Model the absolute value of “-6” ( |-6|) on the below number line: O 10) |-9| = 11) |25| = 12) |-258| = 13) - |923| = 14) |- 0.25 | = 15) |0| = 16) |-9| + | 8 - 10| = 17) 18) |-5| + |-12| = - |-250| = . . . continued