standard_description: Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) ^( )Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)
problem_activity: Problem 1
a.   Create as many rectangles as you can with an area of 12 square units. Find the perimeter of each rectangle that you created. Then record the length, width, area, and perimeter of each rectangle in the table below:
| **                Length (units)               ** | **                Width (units)               ** | **                Area (square units)               ** | **                Perimeter (units)               ** |
|---------------------------------------------------|--------------------------------------------------|--------------------------------------------------------|------------------------------------------------------|
|                                                   |                                                  |                                                        |                                                      |
|                                                   |                                                  |                                                        |                                                      |
|                                                   |                                                  |                                                        |                                                      |
|                                                   |                                                  |                                                        |                                                      |
|                                                   |                                                  |                                                        |                                                      |
|                                                   |                                                  |                                                        |                                                      |
|                                                   |                                                  |                                                        |                                                      |
b.   What do you notice about the rectangles you created? What do you wonder?
Problem 2
What is the greatest perimeter you can make with a rectangle that has an area of 24 square units?


aligns: no