Formative Assessment 1087

Assessment Problem: 

Is there a value for x that will make (2x – 6)(x – 3) < 0 true? 

Mathematical Issues: 

Can students reason to an answer without trying to solve the inequality? They must think about zero and negatives in order to accurately address the problem.

Domain: 
Algebraic Relations
Theme: 
Thinking about Inequalities
Common Core Standards: 
6.EE.5
6.EE.8
Encyclopedia Entry: 
http://www.algebraicthinking.org/wiki/algebraic-relations-inequalities
Research References: 
Lim, K. H. (2006). Characterizing students' thinking: Algebraic inequalities and equations. Paper presented at the 28th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Mérida, México: Universidad Pedagógica Nacional.