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Good Morning!. Please have the following on your desk Math Binder INB Pencil Colored pen White board Whiteboard marker Update your homework log Week 5 Date 9/9/13. 2-3 Subtracting Integers. Objective: I can subtract integers. Now set up the left side of the page & complete:

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  1. Good Morning! • Please have the following on your desk • Math Binder • INB • Pencil • Colored pen • White board • Whiteboard marker • Update your homework log • Week 5 • Date 9/9/13

  2. 2-3 Subtracting Integers Objective: I can subtract integers. Now set up the left side of the page & complete: • Page number: • Lesson title: Subtracting Integers • Learning goal: (write the objective in your own words) • What I know: (Write 1 or 2 sentences explaining what you already know about the lesson) • Update your table of contents

  3. California Standards NS2.3 Solve addition, subtraction, multiplication, and division problems, including those arising in concrete situations, that use positive and negative integers and combinations of these operations. Also covered:AF1.2

  4. Why learn this? You can subtract integers to determine changes in the temperature of a space shuttle.

  5. Foldable for the right side of your INB • Cut out the letters L, C, O • Glue the letters to the notebook. • Use colors to write on the inside of the letters. • Copy my example

  6. 3 different ways to model subtracting integers 3 1 2

  7. Helpful Hint If the number being subtracted is less than the number it is being subtracted from, the answer will be positive. If the number being subtracted is greater, the answer will be negative. You can model the difference between two integers by using a number line. When you subtract a positive number, the difference is less than the original number, so you move to the left. To subtract a negative number, move to the right.

  8. 1 2 3 4 5 6 –2–1 0 Additional Example 1A: Modeling Integer Subtraction Use a number line to find the difference. 4 – 1 –1 4 Start at 0. Move right 4 spaces. To subtract 1, move to the left. 4 – 1 = 3

  9. –6–5–4 –3 –2–1 0 1 2 Additional Example 1B: Modeling Integer Subtraction Use a number line to find the difference. –1 –3 –3 – 1 Start at 0. Move left 3 spaces. To subtract 1, move to the left. –3 – 1 = –4

  10. –6 –5 –4 –3 –2 –1 0 1 2 YOUR TURN! ON YOUR WHITE BOARD Use a number line to find the difference. –2 – 4 –4 –2 Start at 0. Move left 2 spaces. To subtract 4, move to the left. –2 – 4 = –6

  11. –(–4) –2 –4 –3 –2–1 0 1 2 3 4 Additional Example 1C: Modeling Integer Subtraction Use a number line to find the difference. –2 – (–4) Start at 0. Move left 2 spaces. To subtract –4, move to the right. –2 – (–4) = 2

  12. –4 –3 –2 –1 0 1 2 3 4 YOUR TURN! ON YOUR WHITE BOARD Use a number line to find the difference. –4 – (–2) –(–2) –4 Start at 0. Move left 4 spaces. To subtract –2, move to the right. –4 – (–2) = –2

  13. You can also subtract an integer by adding its opposite. You can then use the rules for addition of integers.

  14. Additional Example 2: Subtracting Integers by Adding the Opposite Find each difference. A. 5 – (–2) 5 + 2 Add the opposite of –2. 7 B. –3 – 7 –3 + (–7) Add the opposite of 7. –10

  15. YOUR TURN! ON YOUR WHITE BOARD Find each difference. A. 4 – 2 4 + (–2) Add the opposite of 2. 2 B. –2 – (–6) –2 + 6 Add the opposite of –6. 4 C. –1 – 4 Add the opposite of 4. –1 + (–4) –5

  16. Additional Example 3: Evaluating Expressions with Integers Evaluate x – y for each set of values. A. x = –3 and y = 2 x – y –3 – 2 = –3 + (–2) Substitute for x and y. = –5 Add the opposite of 2. YOUR TURN! ON YOUR WHITE BOARD B. x = 4 and y = –6 Substitute for x and y. x – y 4 – (–6) = 4 + 6 Add the opposite –6. = 10

  17. Additional Example 4: Temperature Application Find the difference between 32°F and –10°F. 32 – (–10) 32 + 10 = 42 Add the opposite of –10. The difference in temperature is 42°F.

  18. YOUR TURN! ON YOUR WHITE BOARD Find the difference between 8°F and –5°F. 8 – (–5) 8 + 5 = 13 Add the opposite of 5. The difference in temperature is 13°F.

  19. Update foldable

  20. Rally Coach! TB pg 84 B’s complete: #14 #22 #30 #35 A’s complete: #13 #21 #29 #12

  21. Lesson Quiz Find each difference. 1.–7 – 4 2.–3 – (–5) 3.Evaluate x – y + z for x = –4, y = 5, and z = –10. 4.On January 1, 2002, the high temperature was 81F in Kona, Hawaii. The low temperature was –29F in Barrow, Alaska. What was the difference between the two temperatures?

  22. Left side time! What I learned: write 1-2 sentences about what you learned. Proof: In 1980 in Great Falls, Montana. The temperature rose from -32˚F to 15˚F in seven minutes. How mush did the temperature increase? Reflection: Write about it. Explain how you subtract a negative integer, pretend you are the teacher.

  23. Homework • Homeroom: pg. 84 #s 45-51; 62-64 • Switch: pg84 #s 37-55 ODDS • TEACHERWEB

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