Exploring Area and Perimeter with Chocolate

The video uses chocolate blocks to explore the concepts of perimeter and area. It begins by defining these terms using a single chocolate square and then examines how arranging 40 squares in different configurations affects the perimeter while keeping the area constant. The video demonstrates that the perimeter can vary significantly depending on the arrangement, with the smallest perimeter being the most efficient for packing. It concludes by encouraging viewers to think about why the perimeter changes with different shapes.

What is the total number of squares in a standard chocolate block as mentioned in the video?

• 30 squares

• 60 squares

• 40 squares

• 50 squares

Tags

CCSS.3.MD.C.6

What does the area of a shape measure?

• Volume

• Density

• Weight

• Surface coverage

How many sides does a single chocolate square have, thus contributing to its perimeter?

• Six sides

• Five sides

• Four sides

• Three sides

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

When two chocolate squares are combined, what is the resulting perimeter?

• Four

• Six

• Eight

• Ten

What is the perimeter of a chocolate bar arranged in 8 columns and 5 rows?

• 30

• 26

• 24

• 28

If the chocolate squares are rearranged into 10 columns and 4 rows, what is the new perimeter?

• 26

• 28

• 30

• 32

What is the perimeter when 40 squares are arranged into two rows of 20 columns?

• 48

• 42

• 44

• 46

What is the perimeter when the squares are arranged in one long row of 40 columns?

• 84

• 80

• 86

• 82

Which arrangement of the 40 squares had the smallest perimeter?

• 8 columns and 5 rows

• 10 columns and 4 rows

• Two rows of 20 columns

• One row of 40 columns

Why do many chocolate blocks use the arrangement with the smallest perimeter?

• For better taste

• Easier to pack

• Looks more appealing

• Cheaper to produce