EDET 677 Mechanical
Applications
Week Four Blog
Essential
Question: What project could help me integrate my content with making?
I have
found it very difficult to think of a project that connects to the high school
mathematical standards. I would like to let my students have some originality
in their creation but still be able to cover required concepts in their high
school math classes. Also it is important to give students the opportunity to
physically make something that can be relevant to them. After reviewing the
math standards and talking to a few friends, I have come up with a project that
I would like to try with my students someday mainly because I am excited to see
what type of ideas my students will come up with.
Students
will be presented with different types of products that are odd shaped such as
a coffee mug, a t-shirt, basketball, dance fans, local goods, etc. The students
will make packaging for whatever two items they want to and they will have
access to different types of packaging materials such as cardboard, Styrofoam,
plastic, tape, etc. They will make the packaging with selling the product in
mind so they will need to keep in mind of cost, appearance, ease of opening the
packaging, ease of shipping, and eco-friendly. There will be various conditions
of each material chosen such as “You have picked packaging that is eco-friendly
therefore you get a 10% increase of sales.”
This
project does meet the criteria laid out by Martinez and Stager on the elements
of a good project for students to do in a maker sense.
1. Purpose and Relevance. Students will be able to decide
what product they want to package and what materials and design they want to
use in packaging the product. Students are interested on how to make the most
money by having the most efficient packaging that is best for the product.
2. Time. I plan to give students between two to three weeks
in starting their first set of packaging. Then I would challenge all students
to improve upon their packaging with some suggestions and 2 more weeks would be
given. Then students would be given about 1 more week to conclude their project
with a presentation and proposal to a company.
3. Complexity. This project provides opportunity to combine
the subject areas of mathematics, economics, business, ethics, art, and
language arts. Language arts is the subject area that is not as easy to connect
but in my assessment, students will need to write an argumentative “essay” on
how their packaging is beneficial for the company to use.
4. Intensity. There will be so many variables connected to
this project that students can spend lots of time on finding the absolute best
way to package their product.
5. Connection. Students will be able to exchange ideas and
opinions on the packaging that they are creating. I would encourage students to
go to stores and see what is already created and ask questions on how well
different products ship or the ease of opening of the packaging. If students
are working with a local company, artist, or business, then they can have a
connection with the community.
6. Access. This might be the most difficult part to provide
to students. The materials might not be completely authentic but I would hope
to have at least 7-10 different types of materials for packaging. To get these
materials I would ask teachers, parents, and local stores to provide any extra
materials or recycle some already used materials.
7. Shareability. Students will be able to share with each
other and connect in this because everyone has a similar project. If students
are working with local people and businesses then they can share with them.
8. Novelty. How great would it be if students were able to
provide a new design to a company that might benefit them!
The
potential mathematical standards that can be covered are as followed:
G‐GMD.3. Use volume formulas for cylinders, pyramids,
cones, and spheres to solve problems. For example: Solve problems requiring
determination of a dimension not given.*
G‐GMD.1. Explain how to find
the formulas for the circumference of a circle, area of a circle, volume of a
cylinder, pyramid, and cone.
A‐CED.1. Create equations and
inequalities in one variable and use them to solve problems. Include
equations arising from linear and quadratic functions, and simple rational and
exponential functions.
N‐Q.1. Use units as a way to
understand problems and to guide the solution of multi‐step problems; choose
and interpret units consistently in formulas; choose and interpret the scale
and the origin in graphs and data displays.
N‐Q.2. Define
appropriate quantities for the purpose of descriptive modeling.
6.G.2. Apply the standard
formulas to find volumes of prisms. Use the attributes and properties
(including shapes of bases) of prisms to identify, compare or describe three-
dimensional figures including prisms and cylinders.
7.G.6. Solve real-world and
mathematical problems involving area, volume and surface area of two- and
three-dimensional objects composed of triangles, quadrilaterals, polygons,
cubes, and right prisms.
To assess
the standards that are used in the project, I will have a summative assessment
of presenting to their classmates by explaining they have learned each standard.
The volume and surface area standards will be assessed by looking at the
calculations of these and assessing of it being correct or not. A rubric will
be created that students are allowed to show understanding in whatever means
they think to be best.
Resources:
Martinez, S. L.,
& Stager, G (2013). Invent to Learn:
Making, Tinkering, and Engineering in the Classroom. Torrence, CA:
Construction Modern Knowledge Press.
I can relate to your difficulties in finding projects for mathematics. Being a math teacher myself I had trouble thinking of project ideas. Some of the topics in math don't lend themselves very well to physical projects. Linear equations and factoring are just couple of examples.
ReplyDeleteWhen integrating math with making you definitely have to make it a real life application. In a CAD or engineering class you could have student start their own custom phone case business and calculate everything from how much materials are needed, the actual 3D, cost per unit and a marketing plan. You would still have to come up with a good prompt. Good luck.
ReplyDeleteI think your project might be quite interesting. You can work in minimizing material usage to keep costs down. I was thinking of another project, like 3d printing geometric shapes, or templates for the shapes. Programming and plotting on a 3d printer requires x, y and z axes.
ReplyDelete