### Workin' On It Wednesday 2/26

Workin' On It Wednesday

We've been working on fractions quite a bit, and have been working on division this week.

During the summer, I read the book Minds on Mathematics: Using Math Workshop to Develop Deep Understanding in Grades 4-8 by Wendy Ward Hoffer, and planned to spend more time this year having students "struggle" with problems that required them to think and explore.

However, I haven't done as much of this as I had planned.  As we were ready to start fraction division, though, I decided to present students with a problem to solve, to see if they could make sense of the situation without knowing the mathematical process for dividing fractions. Based on their pre-tests, most of my students did not know this process when we started the fraction operations unit, so I knew this problem would be a struggle for many.

I presented my students with this question and allowed them to work with a partner or two to find a solution:

Sharon has 34 ½ inches of string that she’s planning to use to make bracelets. Each bracelet needs 5 ¾ inches for each bracelet. How many bracelets will she be able to make?

During my first math class, there was quite a bit of whining! They really did not want to think about this themselves and just wanted me to tell them how to do fraction division (I was glad that they knew they needed to divide, because I did not tell them that). I refused and told them they could draw pictures, use a ruler, use whatever materials they wanted, but they could not use their note sheet, book, or calculator.

When they realized that I really wasn't going to help them, they started thinking. A few students did a really great job drawing pictures to help them figure out the answer, while a few other students grabbed a yard stick and started marking every 5 3/4 inches (in this picture, the students used calculators as markers....not quite sure why....but it worked for them.)

If students figured out the answer to that problem (some did not find the answer by the end of class....it was a shortened class that day, which gave us about 30 minutes to think and then discuss), they tackled a second one.

Sharon is designing a cover for the yearbook, and she wants to draw stripes as part of her design. She wants to make the stripes ¾ inches wide. If the yearbook cover is 12 inches wide, how many stripes will she be able to fit? If she alternates the colors green and yellow, will she be able to start with green and end with green?

It was interesting to see which classes and which students found the answers more quickly. In some classes, most students got to the second question and to the extension of that question, but it took some students much longer to tap into their thinking abilities. I was happy with the results of the class periods, and definitely need to spend more class periods allowing them to grapple with problems.

What have you been working on?

1. Sounds like a fabulous activity! We have been asked to do more of this type of thing, but I need to remember to spend the time. Well done!

### Memory Wheels - First Day, Last Day, and Any Day in Between!

This post has been moved to:  http://www.cognitivecardiowithmsmm.com/blog/memory-wheels-first-day-last-day-and-any-day-in-between

### Math Class - First Day Activity

Rectangle of pentominoes Many 6th graders seem to have a pretty negative attitude about math, so I try to do something interesting to "grab" them during our first class. Last year, during the first math class, we spent part of the period working with pentominoes. Before working with the pentominoes, however, we played a name game so we could learn each others' names (I find it impossible to start anything else if I don't know some names, and fortunately, I learn them fairly quickly). rectangle outline For the activity, I divided the students into groups of 3 or 4. The directions for the activity were not complicated - the task was to make a rectangle, using all of the pentominoes. I gave students an outline of the rectangle, as pictured to the left, so they would know the correct size of the rectangle. The squares in the grid are each one inch. The rectangle is 5 squares (inches) wide and 13 inches long (13 inches includes the row that has the "Pent

### Ratios Fold it Up!

Getting started with ratios! We pretested ratios, rates, and proportions last week, and I found mixed results in the item analysis. I was surprised to find that very few students were able to write a ratio (the pretest question was: there are 2 hamsters and 1 gerbil - write a ratio of gerbils to hamsters). It wasn't that they wrote the ratio as hamsters to gerbils rather than gerbils to hamsters....they either left it blank, or wrote something that did not resemble a ratio. So, I was glad that I had prepared a couple of Fold it Ups for them to use this week! I think this is the first time I've used this version of Fold it Up (with the triangles folded in) this year, and a few students commented that they like this version better than others (like the one I made for Wed...bummer), because this type won't rip as easily. Click to download...a pic of the inside is in the document. Do you have any favorite ratio activities? Subscribe to Middle School Ma