Graphing Numbers as Arrows
How are numbers represented on a number line?
Arrows
True or False: The arrowhead on the arrow is saying that the number goes on forever.
False, why?
What does adding mean?
Putting together
-2 and +2 are examples of what?
additive inverses
What question could you ask yourself when graphing the "result" arrow?
How far did I got from my original position
True or False: The arrow represents +2
True
What two things is represented in an arrow?
length and direction
Describe how to add two arrows.
put start of second on stop of first
What is the specific same real world example we used for assignments and in class throughout this entire topic of real numbers?
mike walking to the store and his friends house
True or False: The arrow represents -1.5
False
Why are real numbers represented with the arrowhead on the arrow?
Direction, positive and negative is important for integers, rational numbers, and real numbers
What happens when you add two positive numbers?
You get more length in the positive direction
What happens when you add two negative numbers?
You get more length in the negative direction
What is a real world example of numbers as lengths?
tape measure, wood, how far you go.
True or False: The arrow represents 2.5
False
Why is length a good way to represent real numbers?
length shows how far you go, it includes everything in between integers
What happens when adding the arrows of two additive inverses?
same length but different directions so you get zero.
Describe why we only need addition, and do not need subtraction.
subtraction is adding the additive inverse
What is a real world example of positive and negative direction?
above sea level and below, temperature
Describe how to graph an arrow on a number line.
Start, go towards the direction, and stop at correct length, put an arrowhead
Why are the numbers on a number line placed where they are at?
the distance from 0
What happens when you add a smaller negative to a larger positive? Describe every step. for example: -5 + 7
5 negative, 7 positive, so +5 and -5 add to zero so +2. left with small positive
What happens when you add a larger positive number and a smaller negative number? Describe every step for example: 9 + -5
9 positive, 5 negative, +5 and -5 add to zero so 4 positive. left with smaller positive
Why is learning all of this arrow stuff important for your future in the real world?
numbers is in everything we do, numbers is only often counting objects, mostly it is length and distance