Question

A student is attempting to model x2 + 2x + 1 using algebra tiles. Which of the following would not be a possible error in the student's thinking?a) Student incorrectly thinks both factors must include (2x + 1). b) Student doesn't realize model must match x2+2x+1. c) Student does not know what rectangular and small square tiles represent. d) Student knows factors are (x+1)(x+1). e) Student does not know how to represent expressions using algebra tiles

Answer 1

Only option d, "Student knows factors are (x+1)(x+1)", would not be a possible error in the student's thinking, since if we solve the product we will have: (x+1)*(x+1) = x² + x + x + 1 = x² + 2x + 1, which is exactly the equation the student wants to model.

Answe: d.