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Category: Geometry

What Do You Notice? poster – Fractions on the Geoboard

What Do You Notice? poster – Fractions on the Geoboard

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Skills:
K-2: shapes, counting, area
3-5: congruency, area, fractions, equivalent fractions

This is similar to the Squares and More Squares poster. Like that one, this was designed around fractions but at a higher level. The dots for each square represent the dots on a regular geoboard. Each square is made up of 5 by 5 dots. If lines were drawn connecting each of the dots, the larger square would show 16 small squares (4 x 4 small squares). Each of these small squares represents one square unit.

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Family Math Night Collaborative Project: Space Invaders

Family Math Night Collaborative Project: Space Invaders

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I’m excited to share with you my latest Family Math Night Collaborative Project: Space Invaders. Here’s a photo of the final result. (There are actually 3 aliens to choose from in the lesson plan. This is alien #1).

Here’s some of the background information I include in the lesson plan:

In 1978, Tomohiro Nishikado, a Japanese video game developer, released his video game Space Invaders. It was such a popular game that it helped catapult video gaming into a global industry. The pixelated aliens in the game became a popular icon.

Pixels are small single-colored squares that make up images in computer graphics. These pixels are displayed as a bitmap, a rectangular matrix of dots. These pixels, sometimes called dots, are each assigned a specific color and are arranged along the horizontal axis (x-coordinate) and vertical axis (y-coordinate) of the matrix.
Computer graphics have come a long way in the last decade and look much more sophisticated today than they did back in 1978. But back when graphics were first being designed on computers, they had a “boxy” look. That’s because the screen displays (screen resolutions) were not as good as they are today.

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What Do You Notice? Descriptions

What Do You Notice? Descriptions

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What Do You Notice? Rectangular Arrays

Skills:
Primary students (K-2): shapes, counting, repeated addition, area
Intermediate students (3-5): classifying quadrilaterals, area model of multiplication, multiplication, prime, composite, and square numbers

It’s been on my TO DO list for a long time. Years, in fact. But I’ve finally checked it off and I’m thrilled with the results.

As many of you know, for each of my Family Math Night events I include a What Do You Notice? poster. These posters are designed to get kids and parents thinking about math on a deeper level. Although each poster has been included on our website, there has never been details…until now. I’ve taken each of the posters and written a thorough description of the math involved. I’ve also included the specific skills by grade span, K-2 and 3-5, and given several examples of student responses.

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The Power of the Estimation Jar

The Power of the Estimation Jar

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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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Family Math Night What Do You Notice? Poster

Family Math Night What Do You Notice? Poster

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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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