Geometry and Exponents Assessment

The video tutorial covers the exploration of square areas and side lengths, focusing on decomposing shapes to find areas and estimating side lengths from given areas. It includes practical exercises and homework to reinforce the concepts taught.

Which shaded region is larger in the warm-up activity?

• Cannot be determined

• Both are equal

• Region B

• Region A

How many full squares are shaded in Region B during the warm-up activity?

• 5

• 4

• 3

• 6

What is the area of the first decomposed shape in square units?

• 80

• 82

• 86

• 84

How many units is the side length of the large square in the second decomposed shape?

• 11

• 8

• 9

• 10

What is the area of the shaded region in the third decomposed shape?

• 62

• 60

• 58

• 50

What is the side length of square A in the estimating side lengths section?

• 5

• 4

• 7

• 6

What is the area of square C in the estimating side lengths section?

• 30

• 40

• 25

• 36

Which squares have side lengths between 5 and 6 units?

• Square D

• Square E

• Square F

• Both E and F

What is the correct scientific notation for 56.3 times 10 to the fourth?

• 56.3 x 10^5

• 5.63 x 10^5

• 5.63 x 10^4

• 56.3 x 10^4

Which of the following is equivalent to 3 to the eighth power?

• All of the above

• 3^8

• 3^2 * 3^6

• 3^4 * 3^4