King+Size+Candy+Bars

**King Size Candy Bars!!!!!!**

**King Size Candy Bars!!!** **1.)** In this activity we will start with a small cartoon and we will "blow it up" to almost life-size. This is called creating similar figures.

**Caution:** This takes a big piece of paper!

2.) To begin, select a candy bar that you like from these candy bars:



**3.****)** Draw a grid of squares in the rectangle on top of your small candy bar. Be sure to use the size of squares that the page indicates.


 * 1cm/16cm

*hint*

Just draw a grid of 1 cm squares over "small" the Butterfinger, Snickers, Milky Way. Then get a large piece of paper and draw the same number of squares, but make sure each one is 16 cm long on a side.



*hint*

Just draw a grid of 1 cm squares over "small" the Kit Kat, Crunch, Hershey's. Then get a large piece of paper and draw the same number of squares, but make sure each one is 14 cm long on a side.

*hint*

Just draw a grid of 1 cm squares over "small" the Reese's. Then get a large piece of paper and draw the same number of squares, but make sure each one is 12 cm long on a side.


 * 4.)**Now figure out how large a piece of paper your "King-size" will require.

**Example: The "small" Skittles in step four is 7 squares wide and 4 squares tall.** **This means that at a ratio of similitude of 1 cm / 9 cm, each 1 cm wide block will now become a 9 cm wide block.** <span style="font-family: Arial,Helvetica,sans-serif;">**Thus the paper will have to be** <span style="font-family: Arial,Helvetica,sans-serif;">**7 x 9 = 63 cm wide and** <span style="font-family: Arial,Helvetica,sans-serif;">**4 x 9 = 36 cm tall**


 * 5.)** Draw this enlarged grid on your large paper. Use a yardstick or other long straightedge. Be sure to keep all of your squares the same size


 * 6.)** Now here the fun starts. Begin by labeling the grids with letters across the columns and numbers at the front of the rows.


 * 7.)** At this point, you are ready to DRAW. Remember, you DO NOT have to be an artist to produce an impressive enlargement.

All you do is draw EXACTLY what you see in each small cell into its corresponding large cell For example in cell b1 of the "Skittles" enlargement we see the corner of the green package with a couple of skittles.

<span style="font-family: 'Arial','sans-serif';">What you have used is called a RATIO OF SIMILITUDE. This ratio controls how large the new picture will become. <span style="font-family: 'Arial','sans-serif';">A 2 to 5 ratio will produce a smaller enlargement than a 2 to 7, because for every two units on the original you are generating only 5 units of enlargement instead of 7. <span style="font-family: 'Arial','sans-serif';">Betty's ratio of 1 to 9 produces a figure that has linear measure that is nine times bigger. <span style="font-family: 'Arial','sans-serif';">Thus the area is 9 x 9=81 times larger than the original candy.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 18pt;">8.) **<span style="font-family: 'Arial','sans-serif';"> If you take your time, and are very careful, you will produce an extremely impressive enlargement.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 36pt;">BIG ****<span style="font-family: 'Arial','sans-serif'; font-size: 18pt;"> skittle's overall AREA however will be 81 TIMES LARGER than **<span style="font-family: 'Arial','sans-serif'; font-size: 13.5pt;">small <span style="font-family: 'Arial','sans-serif'; font-size: 18pt;"> **skittle's.** <span style="font-family: 'Arial','sans-serif';">This is because area is found by taking length times width. The length is 9 times longer and the width is 9 times longer.

<span style="font-family: 'Arial','sans-serif'; font-size: 18pt;">The overall VOLUME will be 9x9x9 or 729 TIMES LARGER! **<span style="font-family: 'Arial','sans-serif';">This means that **Big** Skittle's will weigh 729 times more than <span style="font-family: 'Arial','sans-serif'; font-size: 10pt;">small <span style="font-family: 'Arial','sans-serif';"> Skittles.