Make Math Moments Academy › Forums › Full Workshop Reflections › Module 5: Planning Your Problem Based Lessons › Lesson 56: Proceed or Pivot › Lesson 56: Question › Reply To: Lesson 56: Question

When I teach solving complex equations, we go on to teach Special Solutions (no solution and All Real Numbers). One solution students have a hard time with is when the answer is zero. Many students look at this as no solution. I would like students to better understand the WHY an equation is No Solution, All Real Numbers and Zero. We look at the structure of the equation once it is simplified to see what is the same and different about each equation once it is simplified on each side but this does not seem like enough for them to understand. Students still get tripped up. One way I could pivot on these lessons is to have some word problems that would work out to be no solution, all real and zero so students can understand the logical reason why a problem would have one of these answers. For example if there are two gyms and they both have the same monthly fee but different joining prices, there will never be a time that they will cost the same, therefore being a no solution.