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Seventh/ Eighth Grade
     Mathematics


                       Created by:
                    Lindsay Raiche
Technology Integration
• The order of operations is widely used throughout
  mathematics, science, technology, and many
  computer programming languages.
• It is a rule used to clarify which procedures should be
  performed first in a given mathematical expression.
• With that said, integrating technology into a topic such as the
  order of operations will allow students to visually see the
  steps being performed consecutively (via Smart Board or
  online math tutorials).
• Online practice quizzes/ games also assist students in the
  arithmetic needed to complete the order of operations.
                   CLICK HERE FOR ACCESS
                     TO THE YOUTUBE LINK
Internet Content
• One tool that a majority of students living in
  2013 know how to use is the Internet.
  Fortunately, the Internet offers a wide variety of
  mathematical resources for students to utilize.
  Since Order of Operations requires fundamental
  math skills, it is essential that students make
  use of these resources to master concepts such
  as: following a mathematical rule, evaluating
  exponents, multiplication, division, addition, and
  subtraction.

• The following three slides provide examples of
  some content made available by the Internet.
Instructional Videos




   Click the above picture for video.
YouTube Videos




Click the above picture for video.   Click the above picture for video.
Internet Blogs




Click the above picture for the blog site.
Internet Resources
• The internet provides us with a variety of
  resources we can use to guide us in our
  teaching.
• A few examples of these
  agencies/organizations can be found on the
  next slide.
Internet Resources
• TeAchnology  TeAchnology has been providing free and
  easy to use resources for teachers dedicated to improving
  the education of today's generation of students. They
  feature lesson plans, worksheets, rubrics, teaching tips, and
  many more resources that are designed to help our
  teachers.
• TrackStar  “TrackStar is your starting point for online
  lessons and activities. Create your own Track or use one of
  the hundreds of thousands already made by other
  educators.”
• Khan Academy This organization provides free online
  tutorials and instructional videos regarding different topics
  for all subject matter.

                  CLICK HYPERLINKS TO VISIT WEBSITES.
Inspiration Diagram




Created using Inspiration.
Teaching Materials
• Assessment:
http://trackstar.4teachers.org/trackstar/ts/viewTrackMembers
    This website can be used to assess students on their
      ability to complete the Order of Operations. It is
      essentially online quizzing that is ungraded.
• Homework Help:
http://www.mathgoodies.com/lessons/vol7/order_operations.
    This website can be used to assist students with their
      homework because it takes you through the problem
      step by step in which you can practice until you “get it
      right.”
Teaching Materials cont.
• Practice Arithmetic via Games:
http://www.cut-the-knot.org/Games/WolfRabbit.shtml
    This website can be used to assist students in
      mastering their arithmetic used when solving Order of
      Operations.

• Worksheets:
http://www.edhelper.com/
    This website can be used to create worksheets for
      students regarding all subjects—specifically math for
      my content area.
Subject-Specific Resource
• http://www.aplusmath.com/
   This web site was developed to help students
   improve their math skills interactively. This way it
   is informative, yet the students are able to
   practice what they are learning in a variety of
   hands-on ways.
Uses of the Internet
Interactive Websites:
• http://illuminations.nctm.org/
    This website offers activities, lessons, standards, and
     websites to teachers looking for math resources. It allows
     teachers to make math come alive in the classroom, or
     kept online.
Ask the Expert:
• http://www.allexperts.com/el/Advanced-Math/
    This website offers assistance to those who have questions
     or concerns regarding a particular topic in mathematics or
     science. They are able to speak with a variety of different
     experts in the field. This can be beneficial to students as
     an “outside school resource.”
Web 2.0 Uses of the Internet


                                            Click the picture to download
                                            the app from iTunes, as well as
                                            view more information.




• 5 Dice: Order of Operations Game is a math app intended for
  middle school students that helps students enjoy practicing their
  order of operations. The game encourages students to use higher
  order thinking to solve the "target" number by working
  backwards—(they are given the answer but not the equation).
  The best feature about this simple math game is that teachers
  are able to receive immediate feedback of their students’
  progress through email.

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Raiche, lindsay order of operations

  • 1. Seventh/ Eighth Grade Mathematics Created by: Lindsay Raiche
  • 2. Technology Integration • The order of operations is widely used throughout mathematics, science, technology, and many computer programming languages. • It is a rule used to clarify which procedures should be performed first in a given mathematical expression. • With that said, integrating technology into a topic such as the order of operations will allow students to visually see the steps being performed consecutively (via Smart Board or online math tutorials). • Online practice quizzes/ games also assist students in the arithmetic needed to complete the order of operations. CLICK HERE FOR ACCESS TO THE YOUTUBE LINK
  • 3. Internet Content • One tool that a majority of students living in 2013 know how to use is the Internet. Fortunately, the Internet offers a wide variety of mathematical resources for students to utilize. Since Order of Operations requires fundamental math skills, it is essential that students make use of these resources to master concepts such as: following a mathematical rule, evaluating exponents, multiplication, division, addition, and subtraction. • The following three slides provide examples of some content made available by the Internet.
  • 4. Instructional Videos Click the above picture for video.
  • 5. YouTube Videos Click the above picture for video. Click the above picture for video.
  • 6. Internet Blogs Click the above picture for the blog site.
  • 7. Internet Resources • The internet provides us with a variety of resources we can use to guide us in our teaching. • A few examples of these agencies/organizations can be found on the next slide.
  • 8. Internet Resources • TeAchnology  TeAchnology has been providing free and easy to use resources for teachers dedicated to improving the education of today's generation of students. They feature lesson plans, worksheets, rubrics, teaching tips, and many more resources that are designed to help our teachers. • TrackStar  “TrackStar is your starting point for online lessons and activities. Create your own Track or use one of the hundreds of thousands already made by other educators.” • Khan Academy This organization provides free online tutorials and instructional videos regarding different topics for all subject matter. CLICK HYPERLINKS TO VISIT WEBSITES.
  • 10. Teaching Materials • Assessment: http://trackstar.4teachers.org/trackstar/ts/viewTrackMembers  This website can be used to assess students on their ability to complete the Order of Operations. It is essentially online quizzing that is ungraded. • Homework Help: http://www.mathgoodies.com/lessons/vol7/order_operations.  This website can be used to assist students with their homework because it takes you through the problem step by step in which you can practice until you “get it right.”
  • 11. Teaching Materials cont. • Practice Arithmetic via Games: http://www.cut-the-knot.org/Games/WolfRabbit.shtml  This website can be used to assist students in mastering their arithmetic used when solving Order of Operations. • Worksheets: http://www.edhelper.com/  This website can be used to create worksheets for students regarding all subjects—specifically math for my content area.
  • 12. Subject-Specific Resource • http://www.aplusmath.com/  This web site was developed to help students improve their math skills interactively. This way it is informative, yet the students are able to practice what they are learning in a variety of hands-on ways.
  • 13. Uses of the Internet Interactive Websites: • http://illuminations.nctm.org/  This website offers activities, lessons, standards, and websites to teachers looking for math resources. It allows teachers to make math come alive in the classroom, or kept online. Ask the Expert: • http://www.allexperts.com/el/Advanced-Math/  This website offers assistance to those who have questions or concerns regarding a particular topic in mathematics or science. They are able to speak with a variety of different experts in the field. This can be beneficial to students as an “outside school resource.”
  • 14. Web 2.0 Uses of the Internet Click the picture to download the app from iTunes, as well as view more information. • 5 Dice: Order of Operations Game is a math app intended for middle school students that helps students enjoy practicing their order of operations. The game encourages students to use higher order thinking to solve the "target" number by working backwards—(they are given the answer but not the equation). The best feature about this simple math game is that teachers are able to receive immediate feedback of their students’ progress through email.

Editor's Notes

  1. Image taken from Google Images. http://www.toptenreviews.com/i/rev/misc/articles/4271/top-10-math-car-11.jpg
  2. Background image taken from Google Images. Rationale Statement Video via YouTube: http://www.youtube.com/watch?v=xl9zPWn3Huo&feature=youtu.be
  3. Video Link: https://www.khanacademy.org/math/arithmetic/multiplication-division/order_of_operations/v/order-of-operations In this instructional video, taken from Kahn Academy, was introduced by Module 6, Task #5. It covers the basics and fundamentals to Order of Operations. It takes the student step by step in the process. This instructional video would be very beneficial to a student because they can go at their own pace, as well as at a time that is most convenient. Image taken from Google Images: http://www.mathgoodies.com/lessons/vol7/IMAGES/students1and2.gif
  4. Video Link to LEFT Picture: http://www.youtube.com/watch?v=4xsyXu9J8CA Video Link to RIGHT Picture: http://www.youtube.com/watch?v=zanq7gmXY88 In both of these YouTube Videos, there are “Math songs” recorded relating to Order of Operations. Since they are catchy tunes and funny lyrics, this is a great way for students to memorize the actual steps in the rule. They also are educational and complete a problem during the song. *Pictures taken from Google Images.
  5. Blog Link: http://theteacherwhohatedmath.blogspot.com/2012/09/order-of-operations-foldable.html In this blog, a teacher provides us with a “how-to” on how to create a foldable regarding Order of Operations. This can be very useful to students who need extra help/ tangible resource materials. It is also a great way to study. *Picture taken from Google Images.
  6. TeAchnology Link: http://www.teach-nology.com/ TrackStar Link: http://trackstar.4teachers.org/ Kahn Academy Link: https://www.khanacademy.org/
  7. This graphic organizer was created by Inspiration 9 (Module 9, Task #1). 1.) How would this diagram/GO be used in an actual lesson? This diagram could be used in a lesson by having the students practice various problems and be able to show all of their work/ steps. It is a great introductory activity to use after note-taking. 2.) How does this visual enhance student understanding of the topic? This particular visual can enhance students’ understanding of the topic because it clearly maps out each of the steps in the problem, as well as the rule that comes next.
  8. http://trackstar.4teachers.org/trackstar/ts/viewTrackMembersFrames.do?org.apache.struts.taglib.html.TOKEN=76f19cd8ae24638bc7e8d9fbb9237c3b&number=257910&password http://www.mathgoodies.com/lessons/vol7/order_operations.html
  9. http://www.cut-the-knot.org/Games/WolfRabbit.shtml http://www.edhelper.com/
  10. http://www.aplusmath.com/ (found in the “Resources” section of Blackboard– Module 6, Task#4)
  11. http://illuminations.nctm.org/ (taken from Module 7, Task #1) http://www.allexperts.com/el/Advanced-Math/ (taken from Module 7, Task #1)
  12. 5 Dice: Order of Operations Game iTunes Link: https://itunes.apple.com/us/app/5-dice-order-operations-game/id572774867?mt=8