Thursday, February 23, 2017

7th Grade

UDL Lesson Plan
  1. Author: Amy Sherry
  2. Topic: Mathematics
  3. Grade Level (7th):
  4. Content: Geometry
  5. State Standard: AR.Math.Content.7.G.B.4 - Know the formulas for the area and circumference of a circle and use them to solve problems
  6. Lesson Objective: Using a paper plate, measuring tools, and a pencil, the student will solve the area and circumference of the paper plate. BL: Application, MI: Bodily-Kinesthetic, Visual
  7. Lesson Materials: Handout, Smart Board, Document Camera, Paper Plate, Measuring Tools, Pencil

Instructional Lesson Methods and Assessment
Anticipatory Set
Prior Knowledge:

At the whole group carpet

·         The teacher will ask:

o   "What have we been talking about this week?" (circumference and are of circles)

o   "What is the formula for the circumference of a circle?” (C = 2πr)

o   "What is the formula for the area of a circle?” (A=πr^2)

o   “Where would you need to use circumference and area of a circle in your daily life?”

·         The teacher will say: “now turn to your ‘desk buddy’ and discuss what objects you can measure with these formulas.”
·         Re-introduce the fact that the “r” in the formulas means radius and what radius is.
·         Come up with some ideas of what objects can be measured with these formulas and have student type them on the classroom iPad.
·         Tell students that they will be measuring and solving the circumference and area of a paper plate today.

Recognition “What”
Multiple means of Representation
Strategic “How”
Multiple means of Action and Expression
Affective “Why”
Multiple means of Engagement
I will ask the students what “r” means in the formulas. The students will need to know that “r” means radius to solve the equations.

In order to measure the circumference and area of a plate, the students must know the formulas. The students must also know what radius means to solve the equations. I will ask the students questions about these topics to understand their previous knowledge.




The students will have a chance to talk to their partner about objects to measure the circumference and area of. The students will also have the opportunity to discuss the formulas and objects to measure as a whole group.

The class will come up with ideas of objects to measure the circumference and area of. One student will record these objects on the classroom iPad.
I will ask the students where they can use circumference and area of a circle in their daily lives. This will allow the students to make a personal connection to the subject being taught and it will feel that the subject is more relevant to life itself, making the student motivated to learn.
I will ask the students for the background knowledge on where to use circumference and area of a circle. By asking “Where would you need to use circumference and area of a circle in your daily life,” I am requiring reflection from the students.

Introduce and Model New Knowledge 
·         Read the story “Sir Cumference and the First Round Table (A Math Adventure)” by Cindy Neuschwander and Wayne Geehan to the students.
Picture from: https://www.amazon.com/Cumference-First-Round-Table-Adventure/dp/1570911525

·         Remind students to be thinking about what can be measured with the circumference and area of a circle formulas.
·         Project the story on the Smart Board using the Document Camera so that the students can read along.
·         I will stop on key vocabulary words (carpenter, jester, and knights) and have a student use the classroom iPad to research what the vocabulary word means. Then, the student will add it to our vocabulary list on the Smart Board.
Picture from: https://www.google.com/search?espv=2&biw=1366&bih=638&tbm=isch&sa=1&q=definitions+on+ipad&oq=definitions+on+ipad&gs_l=img.3...2192.2192.0.2817.1.1.0.0.0.0.223.223.2-1.1.0....0...1c.1.64.img..0.0.0.PtBrmdT9ROw#imgrc=4yB0ymmWN7XIyM:

·         After the reading, the students will turn to their “desk buddy” and ask them what happened in the story.
·         The pairs will share one memory from the story with the class.
·         Tell the students that the story will be at the listening center if they need to re-read it. https://www.youtube.com/watch?v=4ZJU3-JXGBo


Recognition “What”
Multiple means of Representation
Strategic “How”
Multiple means of Action and Expression
Affective “Why”
Multiple means of Engagement
I will offer the students the time to listen to the story in the listening center. The students can use the classroom iPads and headphones to listen to the story at https://www.youtube.com/watch?v=4ZJU3-JXGBo. This will allow the auditory students to listen to the story while reading it for further comprehension.



The student will look up the vocabulary words on the classroom iPad and add them to our vocabulary list on the Smartboard. These technology devices will help assist the students in learning new vocabulary terms.
The students will talk to their “desk buddy” about what happened in the story. This will allow the students to collaborate and communicate on what happened in the story and to check for comprehension.
I will discuss key vocabulary words in the story to help students understand the story. These words include:
·         Jester
·         Knight
·         Carpenter



The students will use the iPad to look up new vocabulary terms. The students will add the new terms to an already existing list of vocabulary terms on the smart board. This will allow for the students to keep an organized list of terms they have learned.


Guided Practice 
·         After discussing the story “Sir Cumference and the First Round Table (A Math Adventure),” I will break the students into groups of four.
·         Each student will be handed the same handout.
·         I will read the handout with the students.
·         I will give the students examples of what I am looking for on each step of the handout.
·         I will talk to the students about diameter.
·         The students will practice measuring the diameter of circular objects around the room.
·         In groups, the students will brainstorm what circular objects they can use to measure the diameter, radius, circumference, and area on the classroom iPads or on paper.
Picture from: https://www.google.com/search?q=ipad+concept+map&espv=2&source=lnms&tbm=isch&sa=X&ved=0ahUKEwjyxsPs9qfSAhUHKiYKHW4XCKoQ_AUICCgB&biw=1366&bih=638#imgrc=kjZEVX0qXg30RM:

·         After brainstorming, the groups will complete the handout on the diameter, area, and circumference of circle pizzas.
Picture from: https://www.pinterest.com/pin/119415827591691487/

·         As the students are answering the questions on the handout, I will observe how they are communicating as a group and ask them questions for comprehension.



Recognition “What”
Multiple means of Representation
Strategic “How”
Multiple means of Action and Expression
Affective “Why”
Multiple means of Engagement
The students have the option of making a content map on the iPad or on paper. This will allow the students with visual impairments to be able to have a choice of how they want to make the content map.

The students will have the option to use the iPad instead of paper and pencil to build a concept map. This will allow the students to be creative with their concept maps.
The students will have the choice to use paper and pencil or the classroom iPads to build their concept map.
The students will make a concept map for visualization of main ideas. Also, the students will use a handout as a visual aide to measure the circumference and area of circle pizzas. .
  
The students can provide feedback on objects that can be measured using area and circumference of a circle through a concept map instead of discussion. This will allow the students to have an opportunity at a variety of ways for feedback.
The students will work in groups to build a concept map and complete a handout on circumference and area of a circle.


Independent Practice 
·         After completing the handout, the students will start to measure their own paper plate to solve the circumference and area of the paper plate.
·         I will handout paper plates, measuring tools, and pencils to each student.
·         The students will measure their paper plates for circumference and area of the plate.  
Picture from: https://www.pinterest.com/pin/67061481923344064/

·         I will continue to observe how the students are comprehending area and circumference and their formulas. I will redirect the students if needed.

Recognition “What”
Multiple means of Representation
Strategic “How”
Multiple means of Action and Expression
Affective “Why”
Multiple means of Engagement
The student will use a paper plate to display the big ideas and relationships of the circumference and area of the paper plate.

The students will make a paper plate diagram after the guided practice to use for the assessment.
I will ask the students questions about circumference and area of a circle to check for comprehension.


Wrap-up 
·         The students will bring their plates to the front of the room.
·         I will put each plate on the white board.
·         After taping each plate to the white board I will ask:
o   What was difficult about this assignment?
o   What was easy?
o   Did we all get the same answer?
·         The students will re-measure their paper plate if needed.  


Recognition “What”
Multiple means of Representation
Strategic “How”
Multiple means of Action and Expression
Affective “Why”
Multiple means of Engagement
During the final discussion, I will ask the students about the assignment. We will talk about the different parts of the formula and look to see if all the plates have the same answer.

During the final discussion, I will give feedback on the answers on the paper plates. This will allow the students to have the opportunity to change their answers after feedback.
The students will show comprehension of circumference and area of a circle by taking part in the final discussion and showing the answers on their plates to the class.


Assessment 
Formative (Informal – must be a written assessment)
·         The teacher will hand each student an exit ticket or blank piece of paper.
·         Students will have two options that they can show their knowledge of how to solve the circumference and area of a circle.
o   Option 1: Draw a circle and solve the circumference and area of the circle.
o   Option 2: Solve the circumference and area of the circle on the exit ticket.
·         On the paper, the student will tell the teacher at least three circular objects that can be measured with circumference and area.
·         The students will write at least 5 sentences explaining how to use the formulas to solve the circumference and area of a circle.
·         The students can use their handout from earlier.
·         The students can also look through the story “Sir Cumference and the First Round Table (A Math Adventure).”
·         I will give each student a rubric so that they know what I expect from them for their assessment.

                         Circumference/Area of a Circle Rubric
1
2
3
      Circumference 
      Student is unable to answer questions asked about the circumference.
   Student tried to ask question about the circumference, but got it incorrect.
   Student is able to answer the question about the circumference and got it correct.
      Area
   Student is unable to answer questions asked about the area.
     Student tried to ask question about the area, but got it incorrect.
     Student is able to answer the question about the area and got it correct.
     Sentences
     Student wrote 0-1 sentences about the circumference and area of a circle.
     Student wrote 2-4 sentences about the circumference and area of a circle.
     Student wrote 5 or more sentences about the circumference and area of a circle.



Recognition “What”
Multiple means of Representation
Strategic “How”
Multiple means of Action and Expression
Affective “Why”
Multiple means of Engagement
I will give the student the option to do an exit ticket or to draw their own picture of a circle to solve the circumference and area of the circle. This will allow my non-English speaking students the chance to show me their comprehension in a non-linguistic way.
The student have the choice to show their comprehension through a drawing of their own circle or an exit ticket.
I will give the students two choices for the assessment. The students can either show me comprehension through a drawing or an exit ticket.
I will allow the students to draw their own picture of a circle or to solve for the circle on an exit ticket. This will allow the students a choice through a variety.

I will give the students a rubric so that they know what I expect from them on their exit ticket or the drawing of their own circle.
The students can move to a secluded area to reduce distractions. The student may also wear headphones to block out any noise.


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