Ratio - Comparing 2 quantities that both have the same unit of measure.
Example: 6:4 is the ratio for red:blue beads.
Example: 2:4 is the part-to-part ratio for yellow stars:purple stars.
Part-to-whole ratio - Compares one part of a group to the whole group.
Example: 5:8 is the part-to-whole ratio for pink triangles:total.
Rate - Compares 2 quantities measured in different units.
Example: Kira earns $88 for working 8h.
Proportion - Is a relationship that says that 2 ratios or rates are equal.
Example: There are 72 players on 8 baseball teams. How many players are there on 2 teams?
Part 2 - Answer the questions using proportion statements.
1. 5 hours to travel 360 kilometers is about 72 km/h.
2. 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
1. One way that you could prove that equivalent ratio statements are true is by multiplying horizontally and you could also divide.
2. The second way that you could prove that equivalent ratio statements are true is by dividing vertically also known as the side method.
3. The third way that you could prove that equivalent ratio statements are true is by cross multiplying.
As you can see, 3/4=12/16 are equivalent but 4/9=16/32 is not because if you try using one of these steps, they will not work.
Part 4 - Find a video about using proportion.
Part 5 - What do you think about this image?
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?
This is not fair at all because this homeless guy who just stole $100 dollars and gave it back after was sentenced to jail for 15 years and the CEO who stole 3 billion dollars and didn't give it back, was sentenced to jail for 3 years and 4 months. This just really does not seem fair to me at all.
3. Why have you made this choice?
I've made this choice because a homeless man who doesn't have anything, stole $100 dollars and was sentenced to jail for 15 years. Then the CEO stole 3 billion dollars and was only sentenced for 3 years and 4 months. So I don't think this is fair at all because a homeless man who has no food to eat and no where to stay stole $100 dollars but was totally honest with the police and returned the money, got sentenced to jail for 15 years. But the CEO who steals 3 billion dollars only gets sentenced for 3 years and 4 months. This situation to me, does not seem fair at all.
4. What would you have done if you were the judge?
If I was the judge I would've just gave the homeless man a warning and not put him in prison because it's not his fault that he is homeless. I also probably would've let him keep the money and maybe even give him some more money but tell him that he should never steal anything again because next time he could probably end up in prison. I also would've sentenced the CEO for a longer time in jail because that was a pretty large amount of money that they stole compared to the homeless man who only stole $100 dollars.
Bonus Question - Write your own proportion question and answer it.
How tall is the tree on the left?
Answer: Well I measured the boy and he was about 5'2. So I measured how many of the him stacked on top of each other would be needed to be the same height as the tree. Around 3 of this boy is the same height as the tree. So I took 5.2 and multiplied it by 3 and got 15.6. This means that the tree is about 15.6 feet tall.