1.1+Extending+the+Number+Line+0910


 * //__Accentuate the Negative__//**

[[image:file:///Users/bhabesh/Desktop/Picture%202.png]] At one point in the game, the scores for Mrs. Bernoski’s class are as follows:


//__Questions__//

A: Which team has the highest score? Which team has the lowest score? Explain how you know the answer is correct?

Explanation/Answer: First look at the scores above you will notice that only one of the teams has a positive number. Positive numbers are always larger the negative numbers so you already know that Rocket Scientists have the highest score. If you are confused look at it this way on a number line zero is always in the middle the farther left you go from zero (negative numbers) the smaller your number is, the further right you go (positive numbers) the larger the number is. After learning that you can figure out that -500 is the lowest score.

B: How many points separate the highest score from the lowest score?

Explanation/Answer: The easiest way to solve this problem is to use a number line. On the number line find the number +150 and mark it now find the number -500, you will notice that the distance from -500 to 0 is 500 then you add another 150 to reach +150. 500 plus 150 is 650 so the difference between the two numbers is 650.

C: The discussion above describes two possible ways the rocket scientists may have reached their score. Describe another way. For each of the other teams give another possible way the team could have come up with the score.

Explanation/Answer: This question is simple because all you need to do is look at the first picture and add or subtract the shown numbers until you get each teams score. For example: +50 +50 -100 +150 to get a total of 150 for the rocket scientists.

The game goes on:

· The super brains answer a 200 point question correctly, a 150 question incorrectly, and two 50 point question correctly.

· The Rocket scientists answer a 50 point question 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.

D: What is each team’s score now?

Explanation/Answer: for this question you just have to use the number line method or if you can do it with out the number line then just note down the old scores and start to add and subtract how much it tells you to, for example: the superbrains had -300 then they got a 200 point question correct so now the have -100 then you subtract 150 because they got it wrong so they have -250 then you add 50 so they end up with -200 points.

E. Which team is in last place? How far behind are they?

Explanation/Answer: Just compare the answers to the last question and find out with one is the lowest using the method mentions above then use the numberline method to find out by how much.

// Follow-Up // In Ms. Bernsoski’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 the smarties could have done this.

Explanation/Answer: for this question use the same methos you used in part C and you will get it right.