Sunday, April 29, 2012

Denominator Dilemma

Have students articulate their mathematical understanding by writing about what they've learned.  This helps them to sort out and clarify what they know, then explain it concisely.  And if your students are harboring any misconceptions, you'll discover them when you read their work and do some reteaching. 

I wrote this story starter for my 5th grade class a couple of years ago. 


All fractions have two basic parts called the numerator and the denominator.  The denominator tells us how many parts are in the WHOLE and the numerator tells how many of those parts are being thought about or spoken about.  One thing fractions have in common with whole numbers is the fact that they can be added to and subtracted from each other.

            For example, let’s say Rachel, Morgan and Kasey went out to lunch at a pizzeria that sells pizza by the slice and this is what they ordered:

            Rachel ordered 1 slice.

            Morgan ordered 3 slices.

            Kasey ordered 2 slices.

            When the food arrived at their table Kasey said, “Wow!  That’s a lot of food.  I’ll bet if we put all our slices together it would make a whole pizza.”

            Then Rachel said, “I’m too hungry to play with our lunch but there’s another way we can figure this out. “Excuse me Miss,” Rachel said to the waitress.  “How many slices are there in a whole pizza?”

            “Eight,” the waitress replied.

            “I get it. That means each slice is 1/8 of a whole pizza,” said Morgan.

            “Right,” said Kasey as she took a clean napkin to write on.  “Rachel’s one slice equals 1/8, Morgan’s three slices equals 3/8 and my two slices equals 2/8.  Now we just add them up.”

            The waitress was clearing a nearby table and she overheard the girls’ conversation.  She looked up and said, “I’m great at math and I know the answer.  It’s 6/24.”

            The girls didn’t want to hurt the waitress’s feelings but they knew she had made a mistake.



Continue the story by telling how the girls responded to the waitress.  In addition to your math knowledge, please demonstrate your ability to format and punctuate dialogue.

Wednesday, April 18, 2012

Visit me at...

Wow!  This has been a busy school year.  I can hardly believe I'm half way through April vacation.  While I haven't been giving this blog too much attention, I have been keeping up (mostly) with www.mathintheredpod.blogspot.com.  The red pod is where 4th and 5th grade classrooms are located in the school where I teach.  Visit me there, and check out some of my (unedited, the real me in the classroom) math videos.