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Category: Problem-Solving

The Power of the Estimation Jar

The Power of the Estimation Jar


We often think of math as the exact-answer subject. But the kind of math that we do most often during the day doesn’t require an exact answer. We use this particular math skill when we need to figure out how much time we need to get ready in the morning. Or whether we have enough gas in the car to get to work. Or whether $50 is enough to cover the items in our shopping cart.

The math skill we use the most is, of course, estimation. And estimating accurately requires a high level of math. That’s because it’s abstract which means we need to tap into our number sense and reasoning skills.

One way to provide our students with opportunities to work on their estimation skills is during computation practice. Instead of diving right in to figure out 15 x 12, have students come up with an estimate…about what the answer will be. In fact, periodically I ask students NOT to determine the exact answer and, instead, have them turn in their work with only their estimates recorded. This is hard for them to do in the beginning because they are so used to working out arithmetic problems, but they soon learn the value in thinking about the problem first.

A fun way to get students to work on their estimating skills is through the estimation jar. I’ve included two of my estimation videos below. The first video describes using the estimation jar in the classroom as a way to develop, not only estimation skills, but place value and number sense, as well.

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Pattern and the Common Core State Standards in Mathematics

Pattern and the Common Core State Standards in Mathematics

Mathematics is often described as the science of pattern.  Through looking for, reasoning about, and describing numeric and geometric patterns, students come to realize that mathematics reflects order and predictability.  This is a significant discovery because students who understand the power of patterns in math are more confident in their ability to do math.  So when the Common Core State Standards first came out and I didn’t see a whole lot about pattern and patterning activities in the early years,…

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The Estimation Jar – Number Sense in Action

The Estimation Jar – Number Sense in Action

I was cleaning up the Estimation Table at my last Family Math Night event when I noticed a slip of paper next to the Hershey’s jar.  Taking a closer look at it, I realized I was looking at the thinking behind someone’s guess as to the number of Hersheys in the jar. This piece of paper is priceless to me as an educator.  It allows me to clearly understand the steps this child took to arrive at his/her answer – an answer…

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Family Math Night What Do You Notice? Poster

Family Math Night What Do You Notice? Poster

So for this What Do You Notice? poster, I decided to tie in rectangular arrays with prime and composite numbers.  That said, whatever math-y thing students notice is totally acceptable.  For example, one student noticed that the “buildings” had square windows.  Great.  That’s a little bit of geometry.  Another student noticed that each set of colored rectangles included the same number of squares.  Again, great, as that required some counting and comparison.  Just like the student who noticed that there are…

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Family Math Night What Do You Notice? Poster

Family Math Night What Do You Notice? Poster

Here’s my latest What Do You Notice? poster from a recent Family Math Night event.  The nice thing about these posters is that they’re open-ended which allows for anyone to respond.  For this one, I decided to make a venn diagram.  But I didn’t draw the usual circles.  Instead I drew two hexagons.  This created the rhombus (parallelogram) in the center. The categories I used for the numbers were even numbers and multiples of 5.  That said, anything appropriate would have…

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