Black and red chips

Observations: 

-black and red equal or more black than red 

-net value is the sum (reds+black=net value) 

-net value=blacks-reds 

-blacks =red ---net value =0

-odd total #of tiles net value not equal to 0. 

-if one or more red than black NV is -1 

-if one more black than Ed is 1

What is addition and what is subtraction? 

Class definitions 

Addition: putting stuff together

Subtraction: difference between 2 things-- take away 

put in other picture

We had a confusion: we had a total number of 7 tiles. 2 red tiles. 5 black tiles. a net value of +3. 

The class had 2 different equations:

Advik: 5-2=3 Took away (Subtraction)

Corinna: -2+5=3 Added Negatives (addition) 

What is the same? The answer. 

Does it matter which math sentence? 

yes. Why? 

Two different things are happening. In one place you are gathering something and in the other you are taking them away. 

L63 Homework: 

Write a good word problem to go with each of those equations.

5+-2=3

5-2=3

Make a prediction: 

what happens if I add 2 positive numbers? 

what happens if I add 2 negative numbers? 

what happens if I add 1 positive and 1 negative number?

Homework: 

L62 pg. 22 #23-35 

Thermometer and Number Line problems

Thermometer
1. Figure out which is further from - 2 degrees F. Explain/Show how you know.
   a. 6 degrees F or -6 degrees F
   b. -7 degrees F or 3 degrees F
   c. 2 degrees F or -7 degrees F
   d. -10 degrees F or 7 degrees F

2. What temperature is halfway between the given two??
   a. 0 degrees F and 10 degrees F
   b. 5 degrees F and -15 degrees F
   c. -5 degrees F and 15 degrees F
   d. -8 degrees F and 8 degrees F

Number Line
1. Graph all the possible solutions for x using a number line.  Explain your thinking.
   a. x is positive
   b. x < -7
   c. 6 < x
   d. x is less than or equal to -5.
   e. x > or  = 5
   f. -1 < or = x

2. What are the values for x that make these sentence true??  Show using a number line.
   a. x + 5 > 0
   b. x - 1 < and = 0
   c. 3x < 9

Rational and Irrational Numbers

What is a rational number?

Class definition:
-Integer divided by integer(cannot be 0) equals a rational number

-Integer shown in 2 different ways (Not equal to 0)


What is an example of something that is a rational number?  isn't a rational number?
Rational- 7/8, 1/2, 9/11, .799, 799/1000, 10/8, 3
Not rational or irrational: π, √2 

(A number that doesn't terminate and it doesn't repeat)

Integer Models

R-56 Private Think Time: When you think about positive and negative numbers what models come to mind?

-Number lines
-Coordinates graph (positive and negative numbers)
-absolute value. Distance from zero. [-5] 5 units from zero
-regular graph

Where in the real world do you see positive and negative numbers?
-temperature: thermometer
-Bank account (owe 21, give 20, -1)
-receipts: extreme coouponers
-Test scores
-Fantasy sports (points, touchdown, error, tunr over)




Similarities and differences?

-Both have degrees (number lines can), both measure in something
-thermometer-to tell temperature
-number lines-all numbers\
-thermometer is a number line flipped (negative on bottom, positives on top)






Private Think Time: It is 2 degrees outside. At sunset the weatherman predicts  a five degree drop in temperature. Create a number sentence that matches the problem.

PTT Math Jeopardy- If a team of students played this type of game and the Super Brains had a score of -300 and the Rocket Scientists had a score of 150 and the Know-It-Alls had a score of -500 make some observations.