Do you remember Frosted Forest? "Heavy" Hearts shares a few similarities; consider them cousins! This challenge is heavy on math and has a very wide range of difficulty level options available. One of the best parts -- you probably already have all the materials you need at your fingertips!
Premise
In "Heavy" Hearts, students fill an outer heart with inner hearts they create in three unique size/color groups. Each heart is given point values based on the criteria & constraints and measurement standards set by the teacher. Students are aiming to find the configuration that creates the
"heaviest" heart.
Where Can I Find Out More?
As you may already be aware, I've found creating video walk-throughs of my STEM challenges is the best way to explain the important details: materials, set-up, tips, modifications, extensions, and more! Check out the video below to learn more about "Heavy" Hearts. However, if you prefer to read, you'll find the video transcribed at the end of this post.
Are There Other Challenges Like This?
Of course! I have five Valentine's Day STEM Challenges ready to go! You can find an overview of each on this blog post. Each individual challenge will get its own video walk through and blog post starting with Cupid's Quiver on January 19, 2017 and ending with Cards in the Clouds on February 12 (all but the last will post on Thursdays).
Video Transcription
Hi
there, welcome to week two of the Valentine's Day STEM challenges. This week,
we are talking about Heavy Hearts. This challenge is very heavy on the math and
it is a 2D challenge. The premise of this one is the students are attempting to
fill an outer heart with inner hearts that are worth points in order to make
the heaviest heart. Before I get any further, let's check out the materials and
the STEM Challenge Cycle.
This
is the STEM Challenge Cycle you should follow for every challenge. I've defined
each step in another video. I've added a pop-in card to that video here, as
well as a link in the description.
Just
like frosted forest, this challenge has a very wide range of difficulty
available in both the criteria and constraints that the students build against
and how they measure their results. I'll be giving you some ideas to keep it
simple for younger students and then add some difficulty for older students.
First things first, you're going to need to create an outer heart. You can just
give an outline template the way that I've done here on regular printer paper.
Another idea is to cut off butcher paper or use poster boards and have the
students create their own outer hearts. If you do use something like butcher
paper or poster board, you can put students into groups rather than
partnerships, but if you're gonna keep it on a regular 8.5 x 11-inch sheet,
you're definitely gonna want to keep partners. Because otherwise, students
can't really get in there enough to manipulate and work with the materials and
they'll lose impatience.
The
basic criteria and constraints that I start with in this challenge, you need to
have three different sizes of hearts. The hearts need to be symmetrical and
they need to share a side or point with another color of heart. Hearts can
contact each other but they may not overlap. They may not go outside the outer
heart border.
There
are several different ways to handle the inner hearts. One is to use the
traditional symbol and another is to use overlapping rectangles. Something you
can do to make this a little simpler is to give students pre-cut different
sizes of construction paper. If you're going for a traditional symbol, you're
going to want to give them precut squares and if you're going for a geometric
heart, you're going to want to give them rectangles instead. The ratio here is
about two to one length to length. My preference is usually just to give full
sheets of construction paper in three different colors and let the students
figure it out for themselves on their own and develop their own systems.
While
I think it's definitely appropriate for younger students to give them some
support, you don't want to give too much. Otherwise this runs into a territory
of craftivity which is not what we're going for with the STEM challenge. If
you're gonna give them the paper cutouts, don't show them how to make the
geometric hearts. Or if you're going to show them how to make the geometric
hearts, don't give them everything already precut out. You want to have them
make some of these decisions on their own. The inner heart production is an
important piece, so if when you walk around you see partners and groups developing
efficient systems, make sure that you note that down for yourself so when you
get back to the class discussion, you can bring it up.
It's
one of those things that might get overlooked, but it's an important part of
the challenge. One of the reasons some groups are more successful than others.
I'm going to be talking a lot about the length and width of the hearts. What
I'm talking about is the length at the longest part of the heart and the width
at the widest part of the heart. It might be helpful to show students how to
put a heart in a box, real or imaginary, in order to find out what is the
longest point of a heart and what is the widest part of the heart in order to
take their measurements.
One
thing you can do to add more difficulty is to require that each time you move
up from one size of heart to the next, that it must be at least 50% longer than
the previous size. You can also set a criteria or a constraint about the ratio
of the length to the width of each heart so you might say that it can be no
more than 2:1. Another thing you can do in length to width ratios is just
require that each color group has a unique ratio of length to width.
You
can set up a criterion for percent contribution by color group, so the pink
hearts have to comprise 30% of the design. The purple hearts another 30% and
then the red hearts would be the remaining 40%. You can do the percent
contribution by the total number of a color group as compared to the whole set
of inner hearts. Or you can do it by point values which we're gonna talk about
shortly. Of course another way to make it more challenging is to make the outer
heart larger.
Now
let's talk about assigning point value. You can keep this super simple by just
assigning an arbitrary point value for small medium and large. Small hearts are
all worth one point, medium worth two and large worth three. The next thing you
can do is teach students to take the length and width of the heart and the
point value can be based on either the length or the width or the sum of the two
if you'd like. If you want to make a little bit more challenging, you can
multiply the length times width or multiply and then divide by two. One benefit
of going with the geometric hearts is you can assign point value by the true
area. Maybe you're practicing multiplying decimals or percents right now. You
can just assign an arbitrary role, like the point value is 60% of the length x
30% of the width.
To
extend on this one, you can have students do a second round where they go from
the traditional symbol to a geometric symbol or vice versa and see which one
was more successful. One graph that's a great fit for this is a stacked bar
graph, if that's appropriate for your age group. The total bar would go to the
total points for the heart and then within that, the students would break up
how many points were their purple hearts and their pink and their red. Another
great thing to do to extend is to line up everybody's Heavy Hearts with the
point values, put them on a bulletin board and have the students go in their
groups and start to pull out some observations. Try to analyze what approaches
work well and what did not work as well. And of course since we're talking
about hearts, anything about the circulatory system or the human heart would be
great.
You have
the basics you need in order to conduct this challenge on your own, but
definitely check out the resource because it's got some extras and goodies and
it's gonna save you some time.
Love
is in the air. This resource contains everything you need including
modifications for use with second through eighth graders. You'll still need to
gather the simple materials of course, but the hard parts are done. You'll get Aligned
Next Generation Science Standards, links to my STEM challenge How-to videos to
help you get the most from each challenge and the Heavy Hearts Materials list.
In Teacher Tips, you'll find premise and setup, how to increase or decrease
difficulty through the Criteria and Constraints list, measuring results and
cross-curricular extension suggestions. You'll find an editable Criteria and Constraints
list so you can tailor the challenge to your students.
For
Student Handouts, you'll get an outer heart template, student directions and
data recording sheet. There are two versions of design analysis handouts. Four-page
expanded room for response for younger students, and a two-page condensed space
paper saver version. You'll also find a set of group discussion questions. In
the Extension Handouts, you'll find editable task card templates, examples, answer
recording sheet, and tips as well as process flow templates. This resource is
available individually and as part of a discounted Valentine’s and Mega STEM
challenge bundles. Links can be found in the description below the video.
One of
the best things about this challenge is that you probably already have all the
materials you need, so this is a really quick print and go. Don't forget to
like and subscribe. I'm gonna be back next week with candy container. See you
next time.
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