(a) Use the applet to show that the ratios of the lengths, widths and even perimeters are the same. (b) Is the ratio of the LENGTHs the same as ratio of the AREAs? i) Are the 2 ratios related? ii) Do we need to find the actual areas (of both the figures) in order to find the ratio?
(2) AREAs and VOLUMEs for Similar Figures
Now that we know that We are going to explore the relationships between the ratios of (i) lengths, (ii)areas, and (iii) volumes.
(a) Use the applet to demonstrate how the ratios of the areas are related to the ratios of the volumes. (b) Is there any relationship between the (i) ratio of the lengths and (ii) ratio of the Areas with ratio of the Volumes?
PAUSE  Still confused? Take a look at the below video:


(3) Quiz Time!
Take 5 to 10 minutes to complete the following. Please include your class and index number under the name. (E.g. 2O314 Collin Tok)
Areas and Volumes (for Similar and nonsimilar figures)
(1) AREAs for Similar Figures
If figures are similar, the ratios of the lengths, widths and even perimeters are the same.[Note: ratio can be seen as "scale factor".]
http://www.nctm.org/standards/content.aspx?id=26770
Instructions
(a) Use the applet to show that the ratios of the lengths, widths and even perimeters are the same.(b) Is the ratio of the LENGTHs the same as ratio of the AREAs?
i) Are the 2 ratios related?
ii) Do we need to find the actual areas (of both the figures) in order to find the ratio?
(2) AREAs and VOLUMEs for Similar Figures
Now that we know that
We are going to explore the relationships between the ratios of (i) lengths, (ii)areas, and (iii) volumes.
http://www.nctm.org/standards/content.aspx?id=25097
Instructions
(a) Use the applet to demonstrate how the ratios of the areas are related to the ratios of the volumes.(b) Is there any relationship between the
(i) ratio of the lengths and (ii) ratio of the Areas
with ratio of the Volumes?
PAUSE  Still confused? Take a look at the below video:


(3) Quiz Time!
Take 5 to 10 minutes to complete the following. Please include your class and index number under the name. (E.g. 2O314 Collin Tok)
End of Part 1
Please proceed to Part 2 (for nonSimilar Figures).