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Name________________________ Period______ Date____________ Unit 1: Simplifying Expressions Day 1: Adding Integers / Absolute Value Sponge What are the vertical distances between the following places? P = Plane 1. B and P 12 m 2. F and B B = Bird 5m 3. W and F 4. W and P 0m F = Fish -2m W = Wreck -9 m ------------------------------------------------------------------------------ SWBAT #1: Add integers At the end of the lesson, you will show what you learned today by: Taking a quiz Tool Kit: Vocabulary and Concept Fill in the following table using a “+” to represent +1 and a “-“ to represent -1. 3 -2 7 -4 -3 0 How else can you represent 0? __________________________ Our representation of 0 is known as a __________________ and this is what we are going to use to solve addition problems. Use the “+” and “-“ symbols to find the sums of the following addition problems. negative numbers numbers with opposite signs -3 + -2 -1 + -5 -5 + 2 -1 + 4 -4 + -2 -7 + -8 4 + -2 7 + -3 Rule for finding the sum of two negative numbers: Add Keep the sign Rule for finding the sum of two numbers with opposite signs: Subtract Keep the sign of the “larger” number SWBAT # 2: Simplify expressions with absolute value Tool Kit: Vocabulary and Concept Let’s try some together. 1. 2. |7| = 4. 3. |- 4| = 5. 6. | 5| = 7. - |32| = 8. |6| - |-5| = Your turn. 1. |4| = 4. |-45| + |5| = 12. What is the absolute value of 3? a. 3 b. -3 c. ⅓ d. -⅓ Which has the greatest absolute value, 4 or -9? 2. 3. - |8| = - |-2| = - |- 12| = 6. - |30| = 8. - |-17| = |-12| - |-3| = 11. 5. 7. - |-1| = 9. - |-8| = 10. |- 18| = |-7| = 9. |-35| - |6| = |-10| + |-12| = 10. 11. |16| + |-15| = 12. |-19| - |18| = |19| + |-41| = 13. 14. 15. What is the absolute value of -2? Which has the greater absolute value, -4 or ¾? Which has the greater absolute value, -9 or 2? e. f. g. h. -2 2 ½ -½ Sample Multiple Choice Problems Strategies: 1. Eliminate wrong answers (distractors) 2. Show all work Show all work and/or explain your reasoning. 1. Which of the following results in a negative number? A. B. C. D. 2. 4. – 7 + 10 9 + -2 4+5 -8 + - 12 A. $155 B. $200 C. $255 D. $245 17 + -33 = A. B. C. D. 16 -16 18 -18 5. 3. Nelly is playing a game that lasts 3 days. She wins money or loses money each day depending on how well she plays. She wins $417 on the first day, loses $281 on the second day and wins $119 on the last day. How much money does she have when the game is over? Which has the greater absolute value, -6 or 3? -12 + -7 + -13 A. B. C. D. -32 32 6 -6 A. -6 B. 3 C. Neither D. They are the same