Positive and Negative Numbers as Quantities

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. Language objective: SWBAT verbally describe positive and negative quantities within real world contexts. 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.

Launch: Partners a) Kate’s Grannie lost 7 lbs 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

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 How would you represent 2 degrees above zero on the number line? How 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

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

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

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? Kate had $10 in her bank account and then she withdrew $12 The temperature was -15º F at 6am and then rose 25º F How can we represent these situations in a drawing? Can you draw a picture of each situation using a vertical or horizontal number line?

Launch: Continued 10 + (-12) = -2 In this situation we are starting at______ on the number line, which is different from the last examples because we are not starting at zero 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 10 + (-12) = -2

HOMEWORK: Poster Activity Directions: Design 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.   The quarterback was standing on the 5 yard line. He gained 6 yards and then lost 8 yards. Jose had $8 in his pocket. His uncle gave him another $5 and then he spent $10 on a new shirt.

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

Assessment: Exit Ticket