In algebra class, the teacher, Ms. Hampton, read a brief history on “Who is Archimedes?” Ms. Hampton, then assigned a warm-up activity to connect students to prior knowledge. She asked them to determine the polygon and find its perimeter algebraically using the following information below.
Given Information:
 The hypotenuse must have a length of t + 11.The lengths of the other two sides are t + 10 and t – 7.
Susan was the first to respond. She claimed, based on her prior knowledge, that the polygon is a right triangle and you can use the formula P = 2l + 2w to find the perimeter of a right triangle. She showed her work below modeled by the triangular diagram she drew.

P = 2l + 2w
p = 2(t + 11) + 2(t + 10) + t – 7 p = 2t + 22 + 2t + 20 + t – 7
p = 5t + 35 (units)

Do you agree with 1) Susan’s diagram 2) perimeter formula and her 3) algebraic response? Create a written response that includes the following:

 Write a claim. Statements written in sentences that agrees or disagrees with the claim made in the scenario below. Provide evidence/justification and supported reasoning

 Write a counterclaim. Write a sentence that contradicts the claim made and clearly states your position.

 Explain the counterclaim you are making. The more “real” you make the opposing position, the more “right” you will seem when you disprove it using clear sentences and mathematical language.

 State a clear conclusion. A concluding statement that summarizes your claim