Which One Doesn't Belong?: A Shapes Book

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With your group, decide what the responses for question number 1 have in common. Then do the same for questions numbered 2 and 3. I love the answer key in this book. The thing about this WODB sets is that they are designed so every answer could be the correct answer. So the answer key shares insights kids may notice about each shape and how they might respond. It is a great resource and a great place to understand how to create your own sets (and help kids create their own.) Yeah, three is an odd number because if I halve it, I'd have one left over. 11 is an odd number because if I halved it, there would be one left over. And five is an odd number because if I halved it there'd be one left over. Mm-hmm.

We started off with the first set of figures and I asked everyone to think silently about which figure didn’t belong. I called on Noah to share his thoughts. Noah chose a figure and explained why that figure was different than the rest. Danielson writes, “I made this book to spark conversations, thinking and wonder” (p. 36). He has succeeded. I enjoyed using this book to facilitate conversations with first and fourth graders. Students were engaged and were eager to communicate their ideas and listen to others. I noticed improvement in their ability to craft mathematical arguments in support of their choices. In the end, the fourth graders composed their own set of shapes to challenge others with “which one doesn’t belong.” I also shared the book with colleagues and even brought it out at a family party. So what about this one? What's one reason why this one doesn't belong? OK. Yes, it's... Oh, I almost said it's the only domino with three on it, but it's not actually. It's the only one that's half of ten. Three is less than half of ten. Eight is more than half of ten, and, well, 11 is more than ten in total. Oh, OK. Which One Doesn’t Belong? has won the Mathical Book Prize, which will be presented to Christopher Danielson at the National Math Festival in Washington, DC on April 22, 2017. The Mathical Book Prize is an annual award for fiction and nonfiction books that inspire children of all ages to see math in the world around them.

Shape 1

Which One Doesn't Belong? is a brilliant new math book from Stenhouse. A MUST-HAVE if you teach math at any age I think. In the upper right corner of the screen, a green starburst appears with text: Which one doesn’t belong? What are the favorite colors of students in this class?” would produce categorical data with some variability. The yellow round shape disappears. A blue text box appears at the top centre with text: Can you make a case for why each one doesn’t belong?]

My classes thoroughly enjoyed this book and our conversations about shapes. It generated deep thinking and brought up a few questions that we are still wondering about. In a good way!’ Below is more text: Then, ask your family, friends or your classmates about the next diagram…see if you can work together to come up with a reason for each collection.] How many students are on the roster for this class?” would produce numerical data that does not vary. There is only one value in the data set, so there is no variability. A green starburst shape appears in the upper right corner. Inside is text: Which one doesn’t belong?] Another observation I found very interesting was how students borrowed vocabulary from one setting and tried to apply (maybe misapply) it to a new setting. Have you ever heard of a scalene quadrilateral? Neither had I!The NSW Department of Education is committed to employing the best and brightest teachers who can teach and make a difference in NSW public schools. These are examples non-statistical questions because they are answered by collecting data that does not vary: I was inspired by the work of Christopher Danielson, so I started creating my own WODB activities geared towards students in elementary and middle school. Skills NSW helps post high school students find courses in vocational training across a wide variety of industries and course providers. The question that you ask determines the type of data that you collect and whether or not there is variability in the data collected. In earlier grades, you learned that there is variability in a data set if not all of the values in the data set are the same. These are examples of statistical questions because they are answered by collecting data that has variability: