**Ratio:**The relation between two similar magnitudes with respect to the number oftimes the first contains the second.

Eg: 6 to 9 , 6:9 and 6/9

**Rate**

**:**A ratio that compares two quantities measured in different units.

Eg. 15 to 20 or 15:20

**Proportion:**Comparative relation between things or magnitudes as to size , quantity , number , ratio.

**1)**5 hours to travel 360 miles is about 72 mph.

÷5

h 5 1

---- ----- = -----

m 360 72

÷5

h 5 1

---- ----- = -----

m 360 72

÷5

**2)**As a playgroup worker, if I increase the amount of apple juice I am serving at the playgroup from 25 ml to 100 ml, how much should I increase the the orange juice to, to keep the quantities in the same proportion? The orange juice is 50 ml to start with.

x4

aj 25ml 100ml

---- --------- = ----------

oj 50ml 200ml

x4

aj 25ml 100ml

---- --------- = ----------

oj 50ml 200ml

x4

**3)**What are the three ways you can prove that equivalent ratio statements are true?

3/4=12/16 diagonally (multiply top left and bottom right) vertically, and horizontally.

**4)**

**5)**

**1)**Does this seem fair?

No it is not fair.

**2)**With what you know about proportion look and read what is in the image above. Does it seem just and fair? Why have you made this choice?

He frauded 3billion but only 3.5 years in prison. And the other guy stole $100 , but gave it back and surrenderd to police and he got 15 years in prison.

**3)**What would you have done if you were the judge?

I would which it around , instead of the first guy staying in prison for 3.5 years I would give him 15 years in prison and the other guy would get 3.5 years in prison.

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