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21 st Century Lessons

21 st Century Lessons. Positive & Negative Numbers as Quantities. 6.NS.5. Integers in Real World Situations. Warm Up: Think, Pair, Share. OBJECTIVE:.

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21 st Century Lessons

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  1. 21st Century Lessons Positive & Negative Numbers as Quantities 6.NS.5 Integers in Real World Situations

  2. Warm Up: Think, Pair, Share OBJECTIVE: SWBAT understand that positive and negative numbers are used together to describe quantities having opposite directions or values by using positive and negative numbers to represent quantities in real world context. At 8 am the temperature was -17 °F degrees. At 3:00 pm the temperature was -22 °F degrees. Was it warmer or colder at 8 am? Be prepared to explain your answer in words or with a drawing. Hint Agenda

  3. Launch: Partners How could you represent the following situations using numbers and symbols? a) Kate’s Grannie lost 7 lbs -7 b) The submarine is 235ft below sea level -235 Agenda

  4. Launch: Partners Talk to your partner about what you notice about the number line. • Extends in opposite directions infinitely • Zero is the origin • All units are spaced equally • Shows a numbers position in relation to zero Where would you represent 2 degrees above zero on the number line? Where would you represent -5 degrees below zero on the number line? -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Agenda

  5. Guided Practice Write the integer that represents each real life description, and place them on the number line.. The climber was at an elevation of 10 km The climber was at an elevation of 10 km 8 feet below sea level 7 degrees below zero Deposit of $4.00 starting from zero 8 feet below sea level Deposit of $4.00 starting from zero 7 degrees below zero $6.00 profit starting from zero dollars 2 degrees above zero $6.00 profit starting from zero dollars 2 degrees above zero Loss of $3.00 starting from zero Withdrawal of $5.00 starting from zero. Loss of $3.00 starting from zero Withdrawal of $5.00 starting from zero. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Agenda

  6. Launch: Partner Work 6 15 10 -5 -2 -9 -15 -14 -12 9 i g h f e d j a c b Agenda

  7. Launch: Continued Let’s look at different situations. Read each question carefully. Discuss with your partner what you notice? How are these situations different or similar from the previous ones? The temperature was -15º F at 6am and then rose 25º F • Kate had $10 in her bank account and then she withdrew $12 How can we represent these situations in a drawing? Can you draw a picture of each situation using a vertical or horizontal number line?

  8. Launch: Continued In this situation we are starting at______ on the number line, which is different from the last examples because we are not starting at _____ on the number line. • Kate had $10 in her bank account and then she withdrew $12 start end -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 + (-12) = -2 10

  9. In this situation we are starting at______ on the number line… The temperature was -15º F at 6am and then rose 25º F Create a number line to represent this situation… Can you write an numerical equation to represent this situation. -15 + 25 = 10

  10. Explore: Poster Activity • Directions: You and your partner are going to make drawings to represent the following real life situations involving positive and negative quantities. • - Read each problem carefully looking for key words • Using a number line, draw a picture to represent the situation, be sure to • show the starting and ending places • - Be sure your posters are labeled and neat. Jack was on a quiz show. He had a score of 10 points. He got the next question wrong and lost 15 points. The elevator started on the 3rd floor, and rose up 5 floors then came down 7 floors. Jose had $8 in his pocket. His uncle gave him another $5 and then he spent $10 on a new shirt. The quarterback was standing on the 5 yard line. He gained 6 yards and then lost 8 yards.

  11. Explore: Classwork Challenge start (+3) -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 (+3) + (-5) = -2 end (-5)

  12. Summary: 3 Independent and share Your friend had an orthodontist appointment and missed class. Write a note to your friend in your math journal explaining how integers are used in the real world and how we can determine whether an integer is a positive or negative quantity. Be sure to include several examples from your practice. Dear Suzy Q, Today we learned about using integers in the real world. We see integers when we look at…_______________________________________________________________________________________________________________________________________________________________________________________________________________________ Be prepared to share what you wrote with another person. Hint Agenda

  13. Assessment: Exit Ticket Agenda

  14. Assessment: Homework Homework Agenda

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