standard_description: Use the structure of an expression to identify ways to rewrite it. For example, see x^(4) – y^(4 )as (x^(2))^(2 )– (y^(2))^(2), thus recognizing it as a difference of squares that can be factored as (x^(2 )– y^(2))(x^(2 )+ y^(2)).
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:
{"table": [{"_attributes": {"align": "Center", "class": ["table", "table-bordered"], "style": "table-layout:fixed; width:90%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "strong": [{"_value": "Length (units)"}]}, {"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "strong": [{"_value": "Width (units)"}]}, {"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "strong": [{"_value": "Area (square units)"}]}, {"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "strong": [{"_value": "Perimeter (units)"}]}]}, {"td": [{}, {}, {}, {}]}, {"td": [{}, {}, {}, {}]}, {"td": [{}, {}, {}, {}]}, {"td": [{}, {}, {}, {}]}, {"td": [{}, {}, {}, {}]}, {"td": [{}, {}, {}, {}]}, {"td": [{}, {}, {}, {}]}]}]}]}
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