IM Alg1.7.12 Lesson: Completing the Square (Part 1)
Select all expressions that are perfect squares. Explain how you know.
Complete the table so that each row has equivalent expressions that are perfect squares.
One technique for solving quadratic equations is called completing the square. Here are two examples of how Diego and Mai completed the square to solve the same equation.
Study the worked examples. Then, try solving these equations by completing the square:
Diego: Mai:
Here is a diagram made of a square and two congruent rectangles.
Its total area is square units. What is the length of the unlabeled side of each of the two rectangles?
If we add lines to make the figure a square, what is the area of the entire figure?
How is the process of finding the area of the entire figure like the process of building perfect squares for expressions like ?