Today Aiden and I moved onto 5.5 Multiplication and Division in inequalities. I first gave Aiden the problem 2x>8 and had him solve it. He easily got the solution x>4. Then I gave him the problem -2x>8. He solved and got x>-4. I had him choose a number for the solution and check it. He chose -2. We substituted the -2 into the original inequality and got 4>8. This is a false statement. I told Aiden, "Any time we multiply or divide by a negative we must flip the inequality sign." He said, Ok, but why. So I showed him a short video. The video started with 2<5. Then it multiplied both sides by -1 to get -2<-5. Aiden realized this was a false statement. I explained to him, the reason is because when we work with negatives the opposite is true as far as their value goes. The larger the negative number, it actually becomes a smaller value (for example: -8 is smaller than -1, even though 8 is larger than 1). It "clicked" for Aiden that by multiplying a negative to the inequality it actually makes the opposite true, so to correct this, we flip the inequality sign. We then practiced the problem -6x<24. We solved it to get x>-4. Aiden pondered it for a bit, considering the possible solutions and checking to see if it made sense. It did, but he will need more time with practice to gain confidence.