This lesson deals with angle measurements and using a protractor to determine angle size. It is exemplary, equitable and constructivist for several reasons. Students are relating the work they do to the real world. The objects they will measure around the classroom will help the students connect to everyday life. The smart board activity will also allow all students to experience the lesson through different media. The smart board is equitable for all students and the lesson can be differentiated to fit the technological understanding of all students. This lesson also allows students to collaborate by working with one another. The student isn't put on his/her own and asked to complete the activity, they are working with partners to collaborate for the answers. The assessments in this activity are also genuine and authentic, to help students show understanding and academic achievement. Overall, this lesson would be great to incorporate into an elementary math classroom.
TPA
Lesson Plan Framework
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Name
Terry
Smith
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Date
Tuesday
- November 13, 2012
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TPA
# 2: Is This the Right Angle?
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Grade
Level4
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Geometry
math lesson that introduces students to measuring angles using a protractor.
50 minutes
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Instructional Context
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What do you know about your students’ academic,
language, social and emotional development, their family and cultural
backgrounds, and their interests that need to be considered when developing
this lesson?
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The
students in my classroom are a very verbal and social. They enjoy hands on
activities and working with partners.Most of the students get along with each
other and work well together no matter how the students are grouped. I will
pair students who have lower reading abilities with higher achieving peers to
assist one another during certain activities. This lesson is designed to
allow students an opportunity to get out of their seats and work with
partners and technology. Students will also experience a hands-on activity where
they create their own note-taking sheet using colored popsicle sticks.There
is also a wide range of different thinking levels found through out this
classroom. The class’s reading levels vary from 2nd grade through 8th
grade. Seven of the students reading levels are considered to be below
average, while nine are reading above average, and eight are right on target.
A majority of the student’s math skills are considered to be rather low as
well, only a few students seem to possess a thorough understanding of the
material. Seven students receive free and reduced lunch. All of these
students come from lower class families. The students from poorer families, along
with a few other students whose parents are divorced, don’t receive as much,
or any help at home from their guardians compared to other students in the
class. Many of these students are interested in technology. They enjoy
watching educational videos, and participating in SmartBoard activities. Some
of the students have mentioned their interest in motor-cross sports including
four wheeling and dirt biking. I will compare how motor-cross sports use
ramps that include a variety of different angles throughout their courses.
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How
does this lesson connect with and build on the previous lesson(s)?
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This Lesson builds off of the previous lesson by using
lines, line segments, and rays to build different types of angles that are
found in shapes.
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How
do you expect to build on this lesson in subsequent lessons?
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In the following lesson, students will use their
knowledge of lines, and angles to identify different properties of triangles
including equilateral, isosceles, and scalene.
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Central Focus of the Learning Segment
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Draw, measure and identify angles, and classify shapes
by properties of their sides, angles, and symmetry.
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Standards and Objectives
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Standards
Addressed
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List common core standards addressed in lesson. If you are teaching science or social
studies, use the appropriate IL Learning Standards (ILS).
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CCSS.Math.Content.4.G.A.1
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and
perpendicular and parallel lines. Identify these in two-dimensional figures.
CCSS.Math.Content.4.MD.C.6
Measure angles in whole-number degrees using a protractor. Sketch angles of
specified measure.
CCSS.Math.Content.4.MD.C.7
Recognize angle measure as additive. When an angle is decomposed into
non-overlapping parts, the angle measure of the whole is the sum of the angle
measures of the parts. Solve addition and subtraction problems to find
unknown angles.
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Learning
Objectives
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List the specific objective(s) for the lesson. These
should be aligned to the standards listed above.
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Students
will be able to measure and identify different types of angles based on their
whole-number degrees using protractors.
Students
will be able to solve addition and subtraction problems to find unknown
angles.
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Describe
the relationship of the objective to the central focus.
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This
objective relates to the central focus because students will be able to measure
angles using degrees with whole numbers. Students will be able use this
knowledge to find the measurements of unknown angles.
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What background knowledge and skills do students need
to access the lesson & participate fully?
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Students will need to know how to add and subtract
multi-digit whole numbers to help them identify the measurement of unknown
angles.They will also need to know how draw a straight line using a ruler or
straight edge. A section of this lesson also requires students to know how to
tell time using the hands on a clock. Students will also have to know how to
fold paper into equal fourths.
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Academic Language
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List the Academic Language including content
vocabulary, and language forms and functions needed for this lesson.
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Words: right triangle, acute
triangle, obtuse triangle, degree(s)
The language used is
designed to help students identify different types of angles based on their
measurements in degrees. Students will be drawing and identifying different
types of angles based on their measurements using a protractor. They will
also use this academic language in the next few lessons of the geometry unit
when they explore properties of triangles and quadrilaterals.
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What reading, writing, speaking and listening tasks
will students engage that will require them to use this academic language and
language forms and functions?
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Students
will be writing the academic language words on their note-taking sheet when
they label models of angles that they build using popsicle sticks. They will
also be writing the names of each angle on an assessment sheet. Students will
use listening skills to pay attention to my directions during the lesson and
information found in a short video clip that focus on the different types of
angles. Students must also apply the academic language to answer questions
during a SmartBoard activity. Students will work with their neighbors to
identify different types of angles found both inside and outside of the
classroom. When I call on a student, they will have to share their neighbors
angle that they discovered and state what type of angle it is. An example
would be, “Student A, can you share an angle that your neighbor found in the
room, and also state what type of angle it is?” Student A responds: “My
neighbor student B, found a right angle in the corner of the SmartBoard.”
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How will understanding and being able to use this
academic language help students attain the lesson objective?
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The students will know how to identify and draw
examples of the academic language in order to complete their note-taking
sheet and assessment activity. They will be building and labeling each type
of angle including right, acute, and obtuse. The academic language will also
help students understand how to identify different types of angles using
measurement in whole number degrees.
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How will acquiring this academic language support
students’ overall language development?
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Acquiring
this academic language will support student’s overall language development
because they will be able to describe different geometric shapes that are
found and used in their daily lives. An example might include how to describe
the steepness of a hill that they will be traveling on, or how many degrees
they should turn the handle of a wrench when they tighten or loosen a pipe in
their home. Students can also use degrees in GPS systems when traveling to
new locations.
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Describe the specific instructional supports you will
provide to help students understand and use this academic language during the
lesson.
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The
academic language will first be introduced by myself and through a shortBrainPopvideo
clip. Students will then use the academic language to answer questions during
a SmartBoard activity. Next, students will use popsicle sticks to create
labeled models of properties of shapes including, right, acute, and obtuse
angles. Students will identify and share their neighbor’s angles that they
have discovered within the room or from their own prior background knowledge.
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Assessments
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How will students demonstrate their understanding of
the lesson content?
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They will complete a popsicle stick note-taking
activity. The activity is used to provide students a hands-on activity to
help strengthen their comprehension of geometric properties. Students will
also complete a worksheet where they will be required tomeasure different
angles using whole number degrees. They will also complete a second worksheet
where they identify different measurements of unknown angles using addition
and subtraction.
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In what ways will you monitor student learning during
the lesson and how might this guide your instruction?
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I will ask students to show thumbs up or thumbs down if
they do or don’t understand certain parts of the lesson. I will ask the class
if there any parts they would like me to repeat or to provide more examples.
If a majority of the class shows signs of frustration, I will refrain from
moving on with my lesson and try to identify what areas the students need
more support in.
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What criteria will you use to judge whether your
students are/are not meeting the goals of the lesson during your instruction
or small group activities?
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I will be checking students popsicle note-taking sheets
to make sure that they have followed my directions and example. I will also
be using a checklist to make sure that students have correctly measured
angles using their protractors correctly and identified the measurement of
unknown angles.
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What feedback will you provide? How will your feedback support students in
meeting the goals of the lesson?
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I will be checking to make sure that students have
correctly labeled and arranged their popsicle sticks on their note-taking sheets
while I monitor the classroom. For this part of the lesson, my feed back will
be conversational as I point the students attention to certain sections that
they might need to fix or re-label. “For example: “I noticed that you
followed my directions and created an excellent example of an acute angle.” Or,
“It looks like you might have to make that obtuse angle have a larger
measurement so it doesn’t get confused with a right angle.” “What could you
add to your model to help someone understand that it was a perfect right
angle?” “I will also be writing
comments on students assessment sheets to let them know that they need to
make corrections by adding to their answers or changing them all together.
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What evidence of student learning will you collect and in
what ways will the evidence document student achievement? (Provide the assessment task and evaluation
criteria or rubric at the end of the lesson plan.)
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I have included two activity sheets at the end of this
lesson. I will grade the student’s worksheets using a checklist that will
allow me to identify if the students have successfully understood the content
correctly or if there are certain areas that I need to address with them.
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How will you modify your assessment to address the
needs of specific students?
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The
assessment item will be the same for the entire class, however I will allow
students with lower math skills to work with a peer to complete their
note-taking and activity sheets.I will modify the lesson by only requiring
students to answer question #’s 1-4,7,& 9 on worksheet 1, and question
#’s 1-4 on worksheet 2.
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How is the assessment aligned with your objectives?
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The assessment directly aligns with the objectives by
having students measure angles with whole number degrees using protractors.
Students also use addition and subtraction to identify the measurement of
unknown angles.
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Instructional strategies and learning
tasks (Procedures & Timelines)
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What will you say to communicate the learning goals and
objectives to students?
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“This afternoon we be continuing our unit
on geometry.” “We will be completing a variety of tasks that will help you
understand how to identify different types of angles by their measurements.”“
We will be using the SmartBoard along with popsicle sticks similar to
yesterday’s lesson on line segments to help you understand these concepts.” “When
we have finished this lesson, you will know how to measure and identify
different types of angles using protractors and whole number degrees.”
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Provide a sequential description of the procedures and
activities for the lesson. Include: a)
Explanation (including academic language), b) Modeling (including use of
academic language), c) Questions you will ask (checking for understanding and eliciting higher levels of
thinking), d) Guided Practice (including use of academic language), e)
Independent Practice (including use of academic language)
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a)
Explanation: “We are going to
begin by examining three different types of angles including right, acute,
and obtuse.” “You may or may not have heard of these types of angles before,
but today you will learn how to properly measure them using protractors.”
“You will be using this information to build your own models of different
types of angles and to answer questions on an activity sheet at the end of
this lesson.” “This information will be useful when we start to explore other
properties that make a shape later in the week.”
We will begin by watching a quick video
from BrainPop.com to help introduce the idea of measuring angles by whole
number degrees. I would like you to pay attention to the three main types of
angles including right, acute, and obtuse. You will be using these vocabulary
words later in the lesson so it is important that you know what they mean.
b)
Modeling:Next,
I will direct the student’s attention towards the SmartBoard to model how to
use a protractor to discover different angles measurements.http://exchange.smarttech.com/details.html?id=b2a51fd7-0992-409c-93eb-81ee990d8a4f “Here we have an example
of a protractor that is measuring a 90 degree angle. “Only a 90 degree angle
is referred to as a right angel.” “Notice how the base of the protractor is
aligned a horizontal line of the right angle.” “The other line of the angle
points to the 90 degree mark on our protractor.” “This is how we can confirm
that this is a 90 degree right angle.” “Next, we have an example of a 45
degree angle.” “How can we tell that this is a 45 degree angle?” “Very good,
because one line of the angle points to the 45 degree mark on the
protractor.” “Any angle that is smaller than 90 degrees is referred to as an
acute triangle.” “You can think of acute triangles as being “cute” or “small”
like a puppy or kitten who is small or cute.” “Our next example is 120
degrees.” “This angle is larger than 90 degrees.” “Any angle that is larger
than 90 degrees is referred to as an obtuse angle.” “I would like you to
please stand up and follow me as we call out the names of different angles as
we make them with our arms.”
c) Questions:
To
check for understanding and elicit higher levels of thinking I will ask the
following questions:
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Where can you see right angles in our classroom? Your
everyday life?
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Where can you see acute angles in our classroom? Your
everyday life?
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Where can you see obtuse angles in our classroom? Your
everyday life?
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Explain to me how a straight line is considered to be a
straight angle.
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How does a round clock have angles?
d) Guided Practice:
“Okay, next we are going to build our own models of
right, acute, and obtuse angles using popsicle sticks.” I would like you to
begin by folding your paper in half vertically, and then folding it once more
in half.” “When you open up the paper you should have four individual boxes
that you will be putting your popsicle models in like you did yesterday.” “I
would like you start by using your protractor to mark a right angle in the
first box.” “After you mark your right angle, glue two popsicle sticks next
to your marks.” Students will repeat this process for acute and obtuse
angles. “Now, lets look at question number four on your first worksheet.”
“Who can tell me what type of angle this is?” Alright, so if this is a right
angle that is made out of two other angles where one angle is 50 degrees, how
much should the other triangle be?” “Here is a clue, how many degrees did we
say a right angle had to be?”
e) Independent
Practice:
The students will then be asked to complete two worksheets focusing on right, acute, and obtuse angles. Students will identify the sum or difference of unknown angles that make up right, acute, and obtuse angles. The second worksheet requires students to measure different size angles using a protractor. |
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Closure
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What questions or prompts will you use to elicit
students’ articulation of their learning?
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“Could someone please tell
me a number in degrees that is bigger than a right angle.” “How about a
number that is bigger than an acute angle?” “Name some different types of
foods where angles are found.” “What type of job might require someone to
understand how to measure angles?”
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Student Supports
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Consider the topic, skills, and strategies used in this
lesson. Identify the specific instructional scaffolds that have been
incorporated into the lesson.
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I will be providing students several opportunities to learn
new information by using a cartoon video-clip to help introduce the material.
A SmartBoard activity will also allow students to measure and identify
different types of angles including right, acute, and obtuse through the use
of technology. A hands-on activity will also allow students to build models
of right, acute, and obtuse angles using popsicle sticks. Students will also
demonstrate their understanding on the material by completing an assessment
activity sheet.
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What are the places in your lesson where the content
might be confusing? What alternative
ways will you use to present/explain the content if students are confused?
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Students might be confused on how to measure angles
correctly using a protractor. I will be leading students through a SmartBoard
activity to help introduce this idea to them. Next, I will also lead students
through an activity where they will use their own protractors to identify
different angles’ measurements.
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Describe additional supports that you will provide to
ELL students.
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None of the students in this class are ELL students.
Although, If I did have an ELL student, I would provide worksheets that
include the names of angles in their native language. If there were more than
one ELL student with the same native language, I would pair these students
with an English-speaking student so they can speak to someone in their own
language and also work with the English language.
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Describe additional supports you will provide to
students who struggle.
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I will pair students who need additional supports with
peers who have demonstrated an understanding of the material. I will also be
monitoring the room to help students who have questions about their
activities.
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Describe additional supports you will provide to
students who learn quickly.
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I will allow students who are quick learners and finish
their homework early to help their neighbors if they show signs of
struggling. I will also encourage these students to visit a website where
they can practice working with angle measurements during a fun game. Students
control a water cannon that is placed in the center of a circle. The students
have to answer how many degrees the cannon should turn in order to squirt
different objects including animals, people, and playground equipment. This
website can be found at: http://www.kidsmathgamesonline.com/geometry/angles.html
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Instructional Technology
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What technology will be used in the lesson?
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I will be using a computer, projector, and SmartBoard
to show students a video clip and to guide them through a Smartboard
activity. I will also use the ELMO to walk students through their popsicle
note-taking activity with me.
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Material Resources
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List the handouts, notes, books, and other materials
you will need for the lesson.
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Pencils,
markers, crayons, rulers, glue, popsicle sticks, computer paper, assessment
worksheets 1 & 2, and checklist.
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