Factoring

Maria Onofrio
Grade Level 7
• Rationale: Future generations
  have such a high dependency
  on technology which is why it is
  important to incorporate it into
  the lessons in the classroom.
  This will allow teachers to use
  different mediums to engage
  all types of students and help
  them understand topics like
  factoring by using songs to
  remember the order of
  processes along with visual
  color coordinated aids to show
  the steps.
Instructional Video
• Instructional Video On Factoring
Teach Me How To Factor
• "Teach Me How To Factor"
Math Blog
• Math Blog
Podcast
• Factoring Podcast
• Please choose item 21, Unit 6.5 titled
  Factoring
College Board
• College Board
• College board is an organization that strongly
  encourages students to consider higher
  education.
• As students may know the SATs were created to
  put each prospective student on a level playing
  field. The SATs have a math component which is
  difficult and I believe that starting with factoring
  and building on these skills will allow students to
  do well on the SATs and go to the colleges and
  universities of their choices.
National Council of Teachers of
          Mathematics (NCTM)
• National Council of Teachers of Mathematics (NCTM)
• NCTM is a nonprofit education association and is
  dedicated to improving mathematics teaching and
  learning from kindergarten through high school.
• This association is important because it allows teaching
  techniques to be improved upon, and make
  recommendations on what should be learned. They
  have the ability to evaluate school programs and
  encourage the schools to make them better.
National Education Association
• National Education Association
• This is a web site that allows parents, teachers, and
  students the ability to use the web in order to create a
  great classroom that runs effectively.
• We all know that having great communication between
  administrators, teachers, and parents is essential. This
  web site allows parents to understand issues that may
  be happening, like educational reforms, and allow
  them to see the action that is taking. It also gives
  teachers and parents the ability to have an open
  relationship to work towards the common goal of an
  effective classroom.
Inspiration: Worksheet
Worksheets
• Factor Tree Worksheet
• Greatest Common Factor Worksheet
• There are two types of worksheets here that I think
  would be helpful. One of them is the factor trees. This
  would be a building block for the students. This helps
  them know what factors are and this then would be
  used in factoring quadratics. This also brings me to the
  second worksheet which is finding the Greatest
  Common Factor. This is another way to factor and I
  think it is important students understand different
  ways to attack the problems because it may help
  different students in the classroom.
Word Search
• Word Search Creator
• This is a link to an internet site that would
  allow me to create a word search. It is
  important that students understand the
  important terms of this topic and these
  would keep them fresh in their minds. I
  would use words like; coefficient, integer,
  product, sum, constant, operation, factor,
  prime, polynomial, quadratic, etc.
Factoring App
• Quadratic Factoring App
  – Factoring Application
• This app has the ability to be portable and
  convenient for every child. It also gives a step
  by step process of how to find the factors and
  uses color coordination in order to show the
  user the thought process.
Subject Specific Internet Based
                 Resource
• Interactive Mathematics Investigations: Interactive Mathematics
• This website is an interactive one where students have the ability to
  explore different topics of math using games, puzzles, and video
  clips. Since students have so much difficulty with math and this
  generation will have such a high dependency on technology I think
  that these interactive games will be a homework assignment but
  also a fun assignment which would allow them to learn while they
  play a game. I think that this could also be something we do in class
  before we begin a topic because it would allow for us to get a start
  into thinking about what the concept would be. This site gives
  basics and once they have the basics I could work with them to
  develop the math further.
Uses of Internet: A+ Math
• A Plus Math
• The website is used in order to help students
  develop their math skills. There are options to
  use flashcards, play games, homework helper,
  and worksheets for practice. Factoring is
  something that builds upon your multiplication
  skills. This site would be able to help students
  practice their multiplication tables and become
  proficient in that which would allow students to
  better understand the concept of factoring.
Uses of Internet: Elementary Games
• Elementary Games
• This site has a section that allows students to
  play math related games. There is one game in
  particular that I like is the Factor Feeder where
  the player eats factors of a given multiple. In
  this case students would be learning their
  factors while playing an interactive game. This
  would help them become more proficient
  while having fun.
Uses of Internet: US Census
• U.S. Census Bureau
• Here is a real world application of math used
  in everyday life. Here the Census Bureau gives
  definitions, statistics, data, and researches
  that they have done nation wide. I think it
  would be interesting for students to see the
  real world application and future professions
  that have the potential to use math daily.
Uses of the Internet: Titanic Statistics
• Titanic
• Most people know the story of Titanic however I
  believe that future generations will have to be
  taught the background. This site gives the
  background story and statistics and data about
  the events that happened on that cruise ship. I
  think that the fact that this is real and the
  historical evidence will incorporate other subjects
  not just math but will hold a strong interest by
  the students to see math in the real world.
Web 2.0: Collba
• Students always seem to understand concepts when in
  class and having a support system and once they get
  home they tend to have a little trouble. This web
  application named Collba is designed so that people
  can chat in private rooms and share things over the
  computer. I believe this would be helpful for students
  because other students could be there to help with
  their homework, or even the teacher could set up a
  specific time that they would be available to answer
  any questions that students or parents may have. This
  would show parents how dedicated these teachers are
  and also give for better communication between
  teachers, parents and students.
Evaluation and Citation of Internet
               Content
• There is a U.S. Copyright Law which allows
  teachers and students to use internet
  materials for their classrooms. These sites and
  videos for this presentation are reliable since
  they each come from valid internet websites
  that are focused on academic integrity.

Factoring PowerPoint

  • 1.
  • 2.
    • Rationale: Futuregenerations have such a high dependency on technology which is why it is important to incorporate it into the lessons in the classroom. This will allow teachers to use different mediums to engage all types of students and help them understand topics like factoring by using songs to remember the order of processes along with visual color coordinated aids to show the steps.
  • 3.
  • 4.
    Teach Me HowTo Factor • "Teach Me How To Factor"
  • 5.
  • 6.
    Podcast • Factoring Podcast •Please choose item 21, Unit 6.5 titled Factoring
  • 7.
    College Board • CollegeBoard • College board is an organization that strongly encourages students to consider higher education. • As students may know the SATs were created to put each prospective student on a level playing field. The SATs have a math component which is difficult and I believe that starting with factoring and building on these skills will allow students to do well on the SATs and go to the colleges and universities of their choices.
  • 8.
    National Council ofTeachers of Mathematics (NCTM) • National Council of Teachers of Mathematics (NCTM) • NCTM is a nonprofit education association and is dedicated to improving mathematics teaching and learning from kindergarten through high school. • This association is important because it allows teaching techniques to be improved upon, and make recommendations on what should be learned. They have the ability to evaluate school programs and encourage the schools to make them better.
  • 9.
    National Education Association •National Education Association • This is a web site that allows parents, teachers, and students the ability to use the web in order to create a great classroom that runs effectively. • We all know that having great communication between administrators, teachers, and parents is essential. This web site allows parents to understand issues that may be happening, like educational reforms, and allow them to see the action that is taking. It also gives teachers and parents the ability to have an open relationship to work towards the common goal of an effective classroom.
  • 10.
  • 11.
    Worksheets • Factor TreeWorksheet • Greatest Common Factor Worksheet • There are two types of worksheets here that I think would be helpful. One of them is the factor trees. This would be a building block for the students. This helps them know what factors are and this then would be used in factoring quadratics. This also brings me to the second worksheet which is finding the Greatest Common Factor. This is another way to factor and I think it is important students understand different ways to attack the problems because it may help different students in the classroom.
  • 12.
    Word Search • WordSearch Creator • This is a link to an internet site that would allow me to create a word search. It is important that students understand the important terms of this topic and these would keep them fresh in their minds. I would use words like; coefficient, integer, product, sum, constant, operation, factor, prime, polynomial, quadratic, etc.
  • 13.
    Factoring App • QuadraticFactoring App – Factoring Application • This app has the ability to be portable and convenient for every child. It also gives a step by step process of how to find the factors and uses color coordination in order to show the user the thought process.
  • 14.
    Subject Specific InternetBased Resource • Interactive Mathematics Investigations: Interactive Mathematics • This website is an interactive one where students have the ability to explore different topics of math using games, puzzles, and video clips. Since students have so much difficulty with math and this generation will have such a high dependency on technology I think that these interactive games will be a homework assignment but also a fun assignment which would allow them to learn while they play a game. I think that this could also be something we do in class before we begin a topic because it would allow for us to get a start into thinking about what the concept would be. This site gives basics and once they have the basics I could work with them to develop the math further.
  • 15.
    Uses of Internet:A+ Math • A Plus Math • The website is used in order to help students develop their math skills. There are options to use flashcards, play games, homework helper, and worksheets for practice. Factoring is something that builds upon your multiplication skills. This site would be able to help students practice their multiplication tables and become proficient in that which would allow students to better understand the concept of factoring.
  • 16.
    Uses of Internet:Elementary Games • Elementary Games • This site has a section that allows students to play math related games. There is one game in particular that I like is the Factor Feeder where the player eats factors of a given multiple. In this case students would be learning their factors while playing an interactive game. This would help them become more proficient while having fun.
  • 17.
    Uses of Internet:US Census • U.S. Census Bureau • Here is a real world application of math used in everyday life. Here the Census Bureau gives definitions, statistics, data, and researches that they have done nation wide. I think it would be interesting for students to see the real world application and future professions that have the potential to use math daily.
  • 18.
    Uses of theInternet: Titanic Statistics • Titanic • Most people know the story of Titanic however I believe that future generations will have to be taught the background. This site gives the background story and statistics and data about the events that happened on that cruise ship. I think that the fact that this is real and the historical evidence will incorporate other subjects not just math but will hold a strong interest by the students to see math in the real world.
  • 19.
    Web 2.0: Collba •Students always seem to understand concepts when in class and having a support system and once they get home they tend to have a little trouble. This web application named Collba is designed so that people can chat in private rooms and share things over the computer. I believe this would be helpful for students because other students could be there to help with their homework, or even the teacher could set up a specific time that they would be available to answer any questions that students or parents may have. This would show parents how dedicated these teachers are and also give for better communication between teachers, parents and students.
  • 20.
    Evaluation and Citationof Internet Content • There is a U.S. Copyright Law which allows teachers and students to use internet materials for their classrooms. These sites and videos for this presentation are reliable since they each come from valid internet websites that are focused on academic integrity.

Editor's Notes

  • #4 The reason I chose this video was because there were three different polynomials which would give students a wide variety of examples so that they could see different difficulty levels. It is also helpful because the video starts from an easier example and works its way up to harder ones giving different types of examples that students will maybe encounter.
  • #5 I decided to add this link as a way for students to see the fun in math and have it relate to their lives. This is a mimic off of the song Teach Me How To Dougie. I would show this to my classes that I felt were mature enough to handle this and also offer students the ability to create their own as an extra credit assignment.
  • #6 I chose this math blogger because it has examples of different types of problems. Students will be able to use these problems as practice along with the ability to see the comments that other people have made. I could also use these problems as Do Now for students to get their mind rolling in the beginning of class.
  • #7 I decided to chose this podcast because it is not too long so students will not lose interest in the topic. I also believe that it is a good aid in order for students to get different types of mediums in order to understand the topic fully. Lastly, I believe that the information is very good and reliable.
  • #11 This is a worksheet that I wanted to use after using the worksheets I provide later in the PowerPoint. Students get very frustrated when people don’t have the same thought processes. Therefore I wanted to have them do a factor tree worksheet first and see that people have used different factors and then show them this worksheet to show that they can do the math differently and still reach the same answer.