1.1+Extending+the+Number+Line

Danish April 10 . Block- B =**Big Idea Negative numbers help us to model many real world situa**tions. =

Problem 1.1 A. Q: Which team has the highest score? Which team has the lowest score? Explain how you know your answers are correct. A: The rocket scientists have the highest score and the know-it-alls have the lowest score. I know this because I can see how far it is in each direction left(negative) and right(positive) side. B. Q: How many points separate the highest score and the lowest score? A: 500+150=650 the difference between highest and the lowest is of 650 points. = C. = Q: The discussion above describes two possible ways the Rocket Scientists may have reached their score. Describe another possible way. For each of the other two teams, give one possible way the team could have reached their score. After achieving the scores shown above, the teams continue to play the game. Here is what happens: A: Know-It-Alls ** ·  ** ** They could lose 250-250= -500 ** ** ·  ** ** They could lose -150+ -150+ -200= -500 ** ** Super brains ** ** ·  ** ** They could lose -200+ -150+ **** + **** 50= -300** ** Rocket scientists ** A:** E. Q: which team is in last place? A: Know-It-Alls are in the last place.
 * Teams || Score ||
 * Super Brains || -300 ||
 * Rocket Scientists || 150 ||
 * Know-It-All || -500 ||
 * ·  ** **// The super brains answer a 200-point question correctly, a 150- point question incorrectly, a 50-point question correctly, and another 50-point question correctly. //**
 * // The rocket scientists answer a 50- point question incorrectly, a 200-point question incorrectly, a 100-point question, and a 150-point question incorrectly. //
 * //The Know-It-Alls answer a 100-point ** question incorrectly, a 200-point question correctly, a 150-point question correctly, and a 50-point question incorrectly .**//
 * ·  ** ** They could lose -100+ -150+ -50= -300**
 * ** They could have got +200 – 50= 150. **
 * ** They could have got +150. **
 * D. **
 * Q: What is each team’s score now?
 * ** Know-It-Alls ** || ** Super brains ** || ** Rocket scientists ** ||
 * ** - 100 ** || ** + 200 ** || ** +150 ** ||
 * ** - 50 ** || ** + 50 ** || ** -50 ** ||
 * ** + 200 ** || ** + 50 ** || ** -250 ** ||
 * ** +150 ** || ** - 150 ** || ** -200 ** ||
 * ** = 300 ** || ** = 150 ** || ** -150 ** ||

Fallow-up Give two ways the smarties could have done this? 1. They would have choose a 150 question and got it write. 2. They Chose a 100 and 50 question and got both write.