Showing posts with label measurement. Show all posts
Showing posts with label measurement. Show all posts

Building Off Measurement Misconceptions

May 29, 2016

Last school year, I had a few favorite lessons.  One that really sticks out for me in math class was this one:

http://curiousfirsties.blogspot.com/search?q=measurement&x=0&y=0

You can click on the image for the original post.  I could.NOT.wait to do this lesson again this year!  But as we all know....no two lessons are ever the same!

This year Jess and I decided to start our measurement unit out a bit differently.  We started with measurement mistakes or misconceptions.

We projected these task cards from Susan Jones and had a whole group discussion about what they thought went wrong with the measuring.  WOW!!  We were not sure how this was going to go because it was literally the opening lesson to measurement!!  But the students came up with great thinking for each of the images that we showed.  Then we tested out their new knowledge with some car (or carriage) ramps.  Jess and I even tried to measure using some of the incorrect examples, but we could not fool them!

To end our study of non-standard units, I was excited to create another town (just like the lesson above) for the students to "hop" into and measure distance.  Last year, we found that this lesson was a bit challenging for them.  Especially when it came to applying the knowledge:

But this year proved to be a bit different.  The actual measurement from one location to another was not a challenge.  They were able to problem solve over rivers and around grasslands.


What turned out differently was their desire to test out theories.  Jess and I asked them to find the shortest path from one location to the school (because you never want to be late to school!)  After one person would make a path, the other students would want to see if there really was a shorter route.  And in all cases...the first person always seemed to find the quickest route, even after lots of other attempts.

I felt like the town lesson was actually easier this year.  Could this be from the increase in constructive struggle that we added to our instruction this year?  Could it be from the misconception lesson that was built upon throughout the unit?  Or could it just be the group of students?

It is hard to determine one factor.  But I'll take it!

Making Measurement Meaningful

May 6, 2015

Wednesday is our planning morning for math.  Jess, Carrie, and I sit down, look at our curriculum map, and start talking.  It is truly one of my favorite things to do because it always pushes me to think a bit deeper.  One of our main goals this year was to intentionally plan lessons that make each math skill as meaningful to our students' lives as possible.

Well...after our planning session last Wednesday, I could not WAIT to write this post.

We sat down to discuss measurement but realized that we had covered what we wanted in order to hit the standards but we weren't satisfied that they truly saw how measurement impacted their lives.  Honestly, our minds were blank.  We had nothing.

I pulled up EngageNY's lesson on measurement just to see if anything fired up our creative juices.  What we found were some lessons on paths.  YEP! That was it.


Measuring distance with nonstandard units.  This is something that we do daily (well, not with nonstandard units).  Even if it is just running up to the grocery store, we typically think about what the shortest path would be to get there.  Or if there is a traffic jam we try to think about another route to take that would not be TOO out of the way.  Another example...sleeping babies.  When my girls would fall asleep in the car, I would take the longest possible way home just to keep from waking them up.

All of this conversation led to the construction of a small town in our classroom.  Luckily (for this lesson only), we have very ugly green and tan tile.  This was our nonstandard unit of measurement.  I taped off the floor with black duct tape.  Constructed a school, fire station, police station, post office, and a home with a cardboard box. Our firsties added some of their own buildings (like the bank below) as the lessons unfolded.


Jess and I decided that this was going to be a two day lesson.  On day one we took a lot of time explaining the purpose and importance of measuring paths.  Then we showed them the two paths that we had made using colored masking tape.  After a bit of debate, the class decided to measure the path using the tiles on the floor.


The tiles were counted for each path and we recorded the information on the board.  Our firsties were asked to determine the shorter path and explain why.  The class then constructed their own path together as we followed with a third color of masking tape.  We added this data to the board and put the three paths in order from longest to shortest.

To bring the lesson to a close, the students tried it out on their own in a paper format.


Day 2 played out much like the first; however, there were no paths when the students walked in.  They constructed all three paths together and we asked them to come up with a short story to go along with why the individual was walking from one location to another.

Then they were asked to try it out on their own.  It was so interesting to look at the different paths that the students created.


Now...not all of the sheets looked like this.  Some students wanted to just cut diagonally across the whole sheet or some took the loooooongest route possible even though the directions said "shortest."  But for the most part they could apply what they learned whole group to the independent practice.

And I have to admit...it was a lesson that came about rather spontaneously because of one worksheet we saw on EngageNY's website.  But it was one of my f.a.v.o.r.i.t.e lessons from this year.  I can't wait to do it again next year.







You can find this post and some other great "real life" and hand-on math at: 

Check it out Here.

4mulaFunThe Teacher StudioTeaching to Inspire in 5th, AND MissMathDork,