Mathematical+Reflections,+p.+17

04.04.2009**
 * A.E.R.
 * Big Idea:** Negative numbers help us to model many real world situations.
 * Essential Question:** How do I put positive and negative numbers in order?

=**Mathematical Reflection 1**= A) Keeping score in Math Mania.** When you are keeping the score in a math mania game, a positive number represents that you got a question right and a negative number represents that you didn’t get that question right. A zero means that you first got one question right and then got another question worth the same number of points wrong.
 * 1. Describe what positive numbers, negative numbers and 0 (zero), mean in terms of:

When you are reading a thermometer, a positive number (or red) shows that it is hot in the air, that the temperature is more than 0 (zero) degrease. When you have a negative number on a thermometer (blue) it means that it is bellow freezing point (zero degrease) and that it is cold. If it is 0 degrease, it means that it is neither cold or warm but in-between.
 * B) Temperature Readings.**

A) Two positive numbers.** When you are comparing two positive numbers the higher number will always be bigger. Below is an example of two positive numbers being compared. 2 is more than 1 so 2 is the greater positive number between 2 and 1. When you are comparing two negative numbersthe lower number will allways be the biggest. This sounds weird, but it is true. Below is an example of two negative numbers being compared too each other. -2 is closer to being a positive number than -3 so -2 is the greater number between -2 and -3.
 * 2. Describe how you can compare the following types of numbers to decide which is greater. Use examples to illustrate your thinking.
 * B) Two negative numbers.**

When you are comparing one positive and one negative number, you know that the positive number will always be bigger than the negative number. The positive number represents something whole, or something that exists while the negative number represents something that doesn’t exist or is lost. Below is an example! (A black circle represents a positive number and a white circle represents a negative number).
 * C) A positive and a negative number.**

To locate numbers on a number line is basically the same knowlage as knowing how to read a number line. I will now teach you how to read a number line, what to think about and finally how to make one yourself! A number line is a line that shows positive and negative numbers and their position compared to zero. I think zero is the most important number because it is like a landmark of where to begin. When you say that a number is positive or negative, you are not referring to a mood or feeling. You are referring to that negative / positive numbers position compared to zero. To the left of zero on the number line are the negative numbers (-1, -2, -3, -4 and so on), and to the right of zero are the positive numbers (1, 2, 3, 4 and so on). You are now ready to make a number line yourself! Draw a line and decide how long you want it to be, (the scale of it). Let’s say that you want a number line with a scale of five to negative five, (5 to -5). Place zero, (0) in the middle of your number line and put one through five to the right of zero with equal spacing, and that place negative one through negative five to the right of zero. It will look like this:
 * 3. Describe how to locate numbers on a number line. Use examples to illustrate your thinking. Be sure to include positive and negative numbers as well as fractions and decimals in your examples.**

And now you can make your own number line, ( just don't forget that the range of your data will be different, so it will probably be longer or shorter than my example)!

I talked to Tate Crowards about if zero is a positive or a negative number and we came to the conclusion that zero is a neutral number. Zero is not a positive or a negative number!
 * Summary**

//__Integer__// is a whole number and their opposites, (8 and -8 are integers). When two positive numbers are being added together, the answer will always be positive. But if you add together two negative numbers the answer will always be negative. ||
 * A definition from class:**
 * **A note from class:**