1.2+Winning+the+Game+0910

R.A. Math E7 April 17, 2010


 * Big idea: ** Negative numbers help us model many real world situations


 * Essential Question **: How do I put positive and negative numbers in order?

-**Vocabulary:** -**Additional notes:** When using a number line, for addition always move to the right and subtraction always move to the left. Negative numbers are always on the left of a number line while positive numbers are on the right. Although the number may seem larger decreasing in negative numbers, the value is less.
 * Notes from class: **
 * Negative numbers
 * Integers


 * Problem 1.2**

only positive score. The lowest score is -500, I know this because it is the farthest below 0 of the three scores.
 * A. Which team has the highest score? Which team as the lowest score? Explain how you know your answers are correct.**The highest score is the Rocket Scientists with 150 points. I know this because positive numbers are larger than negative numbers and that is the

Then you need 150 more points because that is the highest score. That makes 650 points from -500 to 150.
 * B. How many points separate the lowest and the highest score?**650 points separate the highest and the lowest scores. I know this because first you need to get to 0, so that is 500 points away.

To reach their score the Super Brains could have answered two 150 point questions wrong leaving them -300 points. The Know-It-Alls could have answered three 100 point questions wrong and two 50 point questions wrong, leaving them -500 points, and the Rocket Scientists could have answered a 100 point questions wrong, a 200 point questions right and a 50 point question right leaving them 150 points.
 * C.The discussion above describes two possible ways the Rocket Scientists may have reached their score. Describe another possible way. For each 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’s what happens:**

· **The SuperBrains answer a 200 – point question correctly, 100-point question incorrectly, a 50-pooint question correctly, and 50 point question correctly.** · **The Rocket Scientiests answer a 50-point incorrectly, a 200-point question incorrectly, a 100-point question correctly, 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.**

The SuperBrain score is -150, the Know-It-Alls Score is -450, the Rocket Scientist score is 350.
 * D. What is each team’s score now?**

The Know-It-Alls trail the winning team by 800 points and they trail the second place team by 300 points.
 * E. Which team is in last place? How far behind each of the other two teams is this team?**


 * Problem 1.1 follow up**


 * In Ms. Bernoski’s fifth-period class, the Smarties have -300 points, and the Brain Surgeons have -150 points. After answering the next four questions, the Smarties are tied with the Brain Surgeons. Give two possible ways that the Smarties could have done this.**


 * 1) The Smarties could have answered two 100-point questions correct and one 50-point question wrong.
 * 2) They could have answered two 50-point questions correct, and one 50-point question wrong.

Here is the number line I used to help me figure out the distance/difference of two numbers: