NTeQ+Lesson+II




 * Lesson Title**: You too can add integers


 * Subject Area:** Math **Grade**: 7


 * Lesson Summary:** Students will be heterogeneously ability grouped in pairs. The students will work collaboratively and cooperatively to model and to add integers. Students will complete a "Think Sheet," make a foldable, watch an engaging video, and use the interactive website National Library of Virtual Manipulatives to create a Word document modeling and solving addition integer problems.


 * Learning Objectives**: By the end of this lesson, the student will:
 * Complete addition integer foldable
 * Utilize the website National Library of Virtual Manipulatives
 * Create a Word document depicting the modeling and solving of addition integer problems


 * Standards:**
 * National**

1. Creativity and Innovation a. Apply existing knowledge to generate new ideas, products, or processes. b. Create original works as a means of personal or group expression.

2. Communication and Collaboration a. Interact, collaborate, and publish with peers, experts, or others employing a variety of digital environments and media b. Communicate information and ideas effectively to multiple audiences using a variety of media and formats c. Contribute to project teams to produce original works or solve problems

3. Research and Information Fluency a. Plan strategies to guide inquiry b. Locate, organize, analyze, evaluate, synthesize, and ethically use information from a variety of sources and media. c. Process data and report results

4. Critical Thinking, Problem Solving, and Decision Making a. Plan and manage activities to develop a solution or complete a project b. Collect and analyze data to identify solutions and/or make informed decisions.

5. Technology Operations and Concepts a. Understand and use technology systems b. Select and use applications effectively and productively


 * Local (Virginia Standards of Learning)**

7.3 (a) The student will model addition, subtraction, multiplication and division of integers (b) The student will add, subtract, multiply, and divide integers.


 * Materials:**
 * Laptop computer (1 for each pair of student) with internet access
 * Printer
 * Microsoft Word
 * External thumb drive to save work
 * scissors
 * red and yellow crayons
 * Two color counters
 * Foldable

>
 * Warm Up
 * Think Sheet 1

[|NLVM Adding Integers] media type="custom" key="23522446"
 * National Library of Virtual Manipulatives
 * Adding Integers Video
 * Computer Functions and Data Manipulation:**
 * **Computer Functions** || **Computer Applications** || **Data Manipulation** ||
 * Internet || National Library of Virtual Manipulatives || Pictorial representations of adding integers ||
 * Create || Word || Modeling and adding of integers ||
 * Internet || You tube || Observing and modeling representations of adding integers ||

From the very beginning of a student's academic career, they have used a variety of tools to learn how to add positive numbers. In 6th grade, their number sense has augmented with the awareness of negative numbers. Now in 7th grade, how will students apply their previously learned adding devices to increase their knowledge of addition to incorporate negative numbers?
 * Specify Problem:**

The results will be in three sections. First is making the adding integers foldable. Second is accurately completing Thinking Sheet 1. Finally, the creation of a Word document illustrating adding integers via two models and two algorithms will be the culminating activity. The students can choose which of the four problems will be solved through models or through algorithms. The four choices are a positive number added to a positive number, a positive number added to a negative number, negative number added to a positive number, and a negative number added to a negative number.
 * Results Presentation:**

Lesson Introduction: Lesson will be introduced by the students working independently on a Warm Up activity.
 * Multidimensional Activities:**

Computer Activity: The computer activities include watching and participating with a video on using manipulatives to solve addition problems with integers, working with the website National Library of Virtual Manipulatives to interactively manipulate physical objects for solving an algorithm, and creating a Word document to illustrate proficiency in modeling and adding problems employing integers.

Supporting Activities: Completing a Warm Up activity and adding integers foldable.

Culminating Activities: A Word document to illustrate four addition scenarios (positive and positive, positive and negative, negative and positive, negative and a negative) will be done to show students' proficiency. The students will represent two of the four scenarios by modeling and the other two scenarios through algorithm.

Students will work individually for three minutes to complete the Warm Up. After three minutes, the students will have one minute to talk about their processes and results with their seat partner. When the students' discussions end (one minute duration), the teacher will review with students their thoughts and procedures. The students will then be told they will be creating an addition integer foldable, watching and participating with an addition integer video showing them how to use manipulatives to solve problems, accessing the National Library of Virtual Manipulative website to employ hands-on tools to determine the results of addends, and producing a Word document to show the they know how to add integers.
 * Lesson Introduction:**

Activities to be completed prior to going to the computer: 1. Pick up Foldable 2. Follow the instructions to make the foldable. 3. Examine the examples on the foldable and see if a rule can determine. 4. Pickup a bag of two color counters. 5. Pick up red and yellow crayons. || Activity 2 Activities to completed prior to going to the computer: 1. Completion of Think Sheet 1 with two color counters. 2. Foldable created. || Activity 3 Activities to completed prior to going to the computer: 1. Review Think Sheet 1 for completeness. 2. Review Foldable 3. Discuss and determine problems to use for Word Document 4. Discuss which problems to use for modeling and algorithm. 5. Sketch models on a piece of paper. || 1. Log-on to computer. 2. Use Firefox as the web browser. 3.Watch the youtube video bookmarked for you in the collaborative bookmarking website. 4. Use two color counters as directed by the video. Raise hands for teacher to check answers. || At the computer: 1. Log-on to computer. 2.Use Firefox as the web browser. 3. Use NLVM website bookmarked for you in the collaborative book- marking website. || At the computer: 1. Log-on to computer 2. Double Click on Word 3. Create 4 different scenarios addition problems with integers. Two problems must be solved through the models of your choice and two problems are solved through algorithm. 4. Print Word document. 5. Save document on thumb drive || 1. Use two color counters to solve problems on Think Sheet 1. Use the red and yellow crayons to show models for each problem || After the computer: 1. Use the manipulatives shown in NLVM to solve the problems on Think Sheet 1. Draw + for positive and - for negative to model each problem. 2, After looking at both models, determine rules for adding integers. || After the computer: 1. Review printed Word document for accuracy. 2. Check answers with calculator || 1. Check answers for Think Sheet 1 using a calculator. 2. Create additional problems to test your skills, reasoning, and check with calculator. || Activity 2 1. Check answers for Think Sheet1 using a calculator. 2. Make additional problems and solve through manipulatives created by you and your partner. || Activity 3 1. Assist other students as needed. || Each pair of students will give the teacher their Word document with all four scenarios. Two problems will be modeled and two will be solved through algorithm.
 * Computer Activities:**
 * Activity 1
 * At the computer:
 * After the computer:
 * Supporting Activities:**
 * Activity 1
 * Culminating Activity:**

Students will have one computer per pair of students. The students will have 90 minutes to do Warm Up, make the foldable, watch the video, work with NLVM, and create a Word document.
 * Rotation Plan to Work:**

performance || 1 || 2 || 3 || 4 || score || with 4 scenarios || There were 2 modeled problems and 2 algorithm problems with 1 problem completed accurately. || There were 2 modeled problems and 2 algorithm problems with 2 of the problems completed correctly || There were 2 modeled problems and 2 algorithm problems with 3 of the problems done accurately || There were 2 modeled problems and 2 algorithm problems with 100% solved and modeled correctly. ||  || This is my second NTeQ created lesson. Developing the lesson is still time consuming, but I found I was able to complete the second lesson in a more expedient and efficient manner. I think familiarity to the procedure helped in lessening the time. Like the first one, I found this entire process to be thorough and reflective. Each section of the format is part of a coherent and cohesive puzzle. While constructing the puzzle, it is easy to determine which piece is in the wrong place, does not fit, or simply needs to be amended. I find the NTeQ lesson plan is a more complete and introspective method than any of the other popular lesson plan formats used in the teaching profession. My biggest issue in the implementation of the NTeQ lessons I have constructed in this class is my classroom time. This lesson is designed for a 90 minutes class period, and for my student, this translates into two class periods. With this time restraint, NTeQ lessons will be used sparingly in my class until I can determine how to amend them to fit my allocated time.
 * Assessment:**
 * Objective or
 * Word Document
 * Reflection:**

Because NTeQ is all-encompassing, the students have an enhanced learning experience. It promotes a student-centered learning environment, the use of technology, and authentic assessments. In addition, the NTeQ format encourages the opportunity to address the needs of our students with various learning styles.