I chose to
work with this lesson plan over other lesson plans I had worked with in the
past because I find that trigonometry is often a topic that students can be
easily lost in and that teachers often try too hard to integrate technology
into. The lesson plan is very basic and starts under the assumption that
students are already aware of certain topics. They are then quickly split into
groups, told to complete a puzzle, discuss the completion of the puzzle as a
group, and then moving on and completing two worksheets.
And so for my technological
adaptations, I chose three very simple adaptations: the addition of relevant
GIFs and videos, phone applications, and an online discussion forum assignment.
These technological adaptations would not only integrate themselves easily into
the lesson plan, but also be transformative and make the learning targets and
curriculum standards more easily achievable.
The first part of the lesson, the
trigonometry square puzzle, is trying to accomplish two goals: understanding
that side ratios in triangles are properties of the angles in the triangle (CCSS.Math.Content.HSG-SRT.C.6)
and using the relationship between the sine and cosine of these angles (CCSS.Math.Content.HSG-SRT.C.7)
to complete the puzzle assignment. These standards can be achieved with the
worksheet, but by integrating the use of relevant GIFs and videos, like this
and this,
we can make the very abstract concept of the relationship between sine, cosine,
triangles, and the unit circle more concrete. Students will then have a deeper
understanding of the properties of the sine and cosine graph (NETS-S1), an
understanding of how the functions are derived (NETS-S1), and the relationship
between the sine and cosine of a triangle (NETS-S1). Thus, when completing the
puzzle they will have a visual breakdown to refer to when completing the
assignment and a more secure grasp on the educational standards for this part
of the lesson.
The second half of the lesson also
relies on worksheets, the Angle of Elevation/Declination worksheet. The goal of
these worksheets is to have students use trigonometric ratios to solve right
triangles (CCSS.Math.Content.HSG-SRT.C.8), prove the Law of Sines and
Cosines (CCSS.Math.Content.HSG-SRT.D.10), and apply the Law of Sines and
Cosines (CCSS.Math.Content.HSG-SRT.D.11) to complete the worksheets. Again,
these goals are attainable with the use of a worksheet and some excellent
teaching but with the addition of some simple technology we can work to increase
student understanding. The first thing that we can add is a quick field trip
outside and the use of some phone apps like this
one. By using this phone app we can have students measure the angle between the
ground and the tops of objects outside like trees, the height of certain school
buildings, etc as well as the distance from where they are standing to the
objects base. Using this information we can then have students use the Law of
Sines and Cosines to compute the other measurements of the triangle, record
this information, and share it with the class. This way, instead of filling out
a worksheet on a topic that requires some abstract thinking, we can have a
plethora of real world examples of ways in which the Law of Sines and Cosines
can be applied that students can think concretely about and refer back to.
Furthermore, by asking students to
go home and record the data of an object they find around the house and posing
a question using this data on an online discussion forum we can increase
student understanding of, again, how the Law of Sines and Cosines can be
applied and also how questions using the Law of Sines and Cosines are
structured. Students will also be asked to answer at least one of their
classmates unanswered questions so as to get more practice and to better form a
classroom community. Thus by integrating the technology into this half of the
lesson we have shown students easy ways to use technology to gather data
(NETS-S3), apply the data they collected to answer problems (NETS-S3), and use
critical thinking skills to ask, answer, and critique authentic questions
(NETS-S4) while also reinforcing the core standards of the lesson and the
learning target.
As I've stated again and again,
these core standards are attainable with just the use of the provided
worksheets. Likewise, technology is not always going to be a transformative
addition to a lesson. However, by using the technologies detailed above, in
conjunction with the strategies provided, we can enhance the overall lesson and
provide students with a deeper, clearer, and more confident understanding of
the material.
Steven,
ReplyDeleteThe narrative above taps into the transformative possibilities of technology, but I'm not sure your complete vision as outlined above is fully represented in your matrix rows, as each reads from right to left. I think "Discussion Forum Question/Response" is actually a strategy, not a technology, yes? And "Worksheet" should be in the technology column, since it is not a teaching strategy, correct? As part of this emphasis on alignment, I'm wondering how your assessments will providence evidence that students have met all the standards that you have in Column A? I think that requires a bit more detail and rationale than you have above. In moving forward, keep in mind that teachers today are evaluated according to student performance-based evidence that link teaching strategy with student outcomes.