Thermometer 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

Based on the definitions from the book, how can we put the definition for a rational number in our own words?

What do we think it means?
-The answer to a division problem. A number that you divide by another number (can't be zero)  like 2/1 (the 1 is the divisor)
-A number that isn't 0
-maybe 0 is the mid part and rational numbers are positive numbers

Can we give some examples?
Class thinks:
1/2, 9/11, -.3, 3/4, -7/5, .799, 21, 1.3, 22

Are rational numbers positive or negative?

6/3 is rational then is 2 rational?

Maybe whole numbers are rational and decimals and fractions are irrational?

Idea: If we go by the first definition, then rational #=everything

Can we give an example of an irrational number?

We now think negatives can be rational.  -6/-3=rational -6/0=irrational

Now we know 2 is rational.

Can every single number be rational?
yes, can terminate and repeat

Can you think of an irrational number?
-π (it never ends, it never repeats) 

R-62 Rational Numbers 
Integer ÷ Integer (≠0)=Rational #

An integer is a whole number either positive or negative. 

Integer Models

R59-Private Think Time: When you think about positive and negative numbers what models come to mind?
-below 0
-temperature outside (thermometer)
-Number lines (0 is in the middle, right is positive, left is negative)
-Any negative number plus
(-5+5=0)
-  -5 and 5 is the same distance (units) from zero
-color strips (red was positive, black was negative)
-Distance from 0 can be shown as absolute value [5]
-Is a positive plus a negative a negative?
-When you add a negative is it subtracting?


Similarities and differences?



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.

-The rocket scientists have more points than Super brains or No It Alls. 
-Rocket Scientists are the only team  whose score could have been gotten in 1 round (1 question) 

Quiz Review

What do I expect will be on tomorrow's quiz? 

-Transversals: angle measures, what they are and why they have that relationships 
-Tiling-what shapes tile 
-Quadrilateral-what info. do I need to build one?
  * side lengths and angle measures 
  *Four sides doesn't make it unique (to reinforce it, will make it unique)
-Triangles-What info do I need to build?
  * side lengths and angle measures
 *3 pieces-3 sides, 1<2 sides or 1 side 2<'s
-Build and construct several shapes on this quiz
-Exterior and interior angles 
-Complimentary (2 angles make 90)
-Supplementary (2 angles make 180) 
-What is the difference between a regular and irregular polygon? 
  *Regular: every angle and side the same

How do you study for a math test? 
-Look back through your math notebook
-Give yourself problems, practice them (from your notebooks so you have the answers to check back) 
-If you forget your notebook, you can go on the blog. 

How long? 
- 20 to 60 min 
-If you don't have a lot of time focus on things you aren't as confident on. 
-Break up the time into sections