Jessica T's Proportion Post

Part 1 -Definitions 

Ratio- Comparing two quantities that both have the same unit of measure.

    eg. 4:7 beads. Purple:Blue

Part to Part Ratio - Compare different parts of a group to each other. 

     eg. 10:8 is the part to part ratio of the brown to red bead.

Part to Whole Ratio- Compare one part of a group to the whole group.

   eg. 5:23 is the part to whole ratio of blue beads to total number of beads.

Rate - Compare two quantities measured in different units.
  eg. $102/10hours

Unit rate- A rate in which the second term is out of one.                                                                        eg. Raising $315 in 35 hours. 

                                           

   Proportion-  A proportion is a relationship that says that two ratios or rates are equal                                                                 eg. There are 42 players on 7 volleyball teams. How many are on 4 teams?

Part 2-

  eg. 5 hours to travel 360 kilometers is about 72 km/h.

Emma saves 28 cents of every dollar that she earns.  Emma earned $75 last week.  How much money did Emma save last week? 

Part 3 -What are the three ways you can prove that equivalent ratio statements are true?
3/4 = 12/16  or 4/9 = 16/32

The 3 ways you can show if they are equivalent ratio are: 

1) Equivalent Fractions. 

2) Cross Multiplication 

3) Side method. 

 3/4 = 12/16 is an equivalent fraction  
 4/9 = 16/32 is NOT a equivalent fraction

Part 4 - Proportion Video

Find a video about using proportion and embed it in your post.  Make sure you select the small size of the video. (Bonus Marks if you make your own video about proportion and embed it)

Part 5 - We are starting to engage in discussions about social justice.  What do you think about this image below.  Use the link to copy it into your post.  Then answer the questions

http://www.concurringopinions.com/wp-content/uploads/2011/10/CrimeInAmerica2.jpg

1.Does this seem fair? I don't think this seems fair at all. 

2.With what you know about proportion look and read what is in the image above.  Does it seem just and fair? No it does not because the man who stole $100 but returned it is spending 15 years and the man who stole 3 billion is spending time in jail for only 3 years and 4 months.

3.Why have you made this choice? I have made this choice because the CEO stole 3 billion dollars but only got sentenced to jail for 40 months which is 3 years and 4 months. The homeless man only stole $100 dollars but got sentenced to 180 months which is 15 years. I think he got sentenced longer just because he's homeless and is not in the higher class like the CEO which is unfair cause the homeless man returned the money but the CEO did not. 

4.What would you have done if you were the judge? I would of let the homeless man go, or atleast sentence him for just 1 month, but on the bright side, he now has a place to sleep and have food to eat. I also think that the CEO should be sentenced to 15 years in jail not the homeless man. 

Question: What is the height of this traffic box?

Answer: The first thing I did was measure that little box on the right that says ``79-N205`` with my ruler. I measured it and got half of a cm. I then measured the height of the box and got the height of 12.5. So I went 0.5x12.5 and got 6.25. So the traffic box must be 6.25ft tall??