Hooking Students into Solving Equations

As I approached this topic - it scared me.  Typically, my 9 applied students don't take this concept of solving equations very well.

However, it went extremely well.  Better than I thought.

All my work emulating Dan Meyer has paid off, as they gobbled up this math lesson with such focus and creativity that amazed even me.

The community of openness, willingness to make mistakes, and the growth mindset was on full display.

I started off with the typical Pearson textbook problem on a Powerpoint, and had them figure out in any method how many spheres are in the bag, assuming that this was a balance.  It's my attempt at having them recall some prior knowledge:  

 Then, I had them try out this question:

I asked them - "What is the difference between this question, and the previous question?"

Student: "It's more complicated."

Mr. Shin:  "Yes it is more complicated.  There are many ways that this question is more complicated.  Can someone elaborate on why the second question is much more complicated?"

Students:  "Uhh...more spheres, more items, and more bags on both sides."

I then went on to explain that there's a method to "simplify" (bad term to use, I'll admit.  I have to ask my colleagues for the proper term.  They're much smarter than I on the formal aspects of mathematics) complicated equations like the second picture  to become simpler equations like the first picture above.

A little bit of a hook was made to some students, but as usual - not all.  Well, at least I got some without having to use any symbols or use of any math.

At this point, though, I had to introduce the use of symbols to solving simple equations on solving equations.  I made sure though, that they as a class were able to predict  each math line that would pop up on the Powerpoint before I flashed each line on the screen.

Continuing on to use think pair share and whiteboards for the next two questions makes sure that at least half of my 22 students are able to get some portions of this concept.

On day two, we built equations.  They made up their own equations using cups and cubes.   I also encouraged them  to draw out questions for their partners.

Talk about students being leaders in their learning - giving them the responsibility to create their own questions.  Fractions and decimals came out as partners answers others' questions - it was very interesting that they would take it back and try to 'fix' it as if there are problems with fractions.

However, going through that exercise of integer answers only really made them think creatively.

This is why I like the applied classroom - they take liberties on things like the money bags up top and even this:

Bunny rabbits and money bags are so much more interesting than spheres.  Money bags is better conceptually though, than the rabbits who have eaten candies, but at least they're taking their artistic liberties.

And...they're really into it - a few of them started on their homework from Knowledge Hook right away on Friday night, and there is NO red square so far.  One video was watched for clarification so far...good news good news.

 I guess the real test is:  how many more 9 applieds will they even attempt their homework by Monday? 

 
Stay tuned!