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01 Apr 2012
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iFactor: Prime Factorization Cubed!

After meeting with the 5th Math Specialist to collaborate and plan, I feel like we have a really good plan for next week’s 5th Math training. The intent was to provide technology tools for teachers that would not serve as “one hit wonders.” Rather, we wanted to provide teachers with a Bag of iTricks that could be used to support multiple mathematics skills… and other content areas. The iLesson below not only reduces paper waste (the original document was 9 pages) but provides a viable alternative to a pencil and paper task.

The original document included a direct teach piece on prime factorization, a Frayer model template for Prime Numbers, 4 recording sheets for factoring numbers in multiple ways, and a template for creating your own prime numbers matching card sort. Using a combination of the apps iPen Free app and Popplet Lite, I was able to reduce the packet to a page or two.
 
Student Task 1: Frayer Model using Popplet Lite

  1. Double tap on the screen to create a popple.
  2. Tap the “T” to add text and type “Prime Number”.
  3. Tap the gray circle connector to create another popple attached to the first one.
  4. Type “Example” in the second popple.
  5. Tap the icon of the pen to draw your example.
  6. Tap the Prime Number popple to create another popple attached to it.
  7. Type “Non-Example” in the third popple.
  8. Draw your non-example example.
  9. Tap the Prime Number popple to create another popple attached to it.
  10. Type “Definition” in the fourth popple and write your definition.
  11. Tap Export and Save the image as a jpeg.

 
The iLesson video (Student Task 1) below was created with the Reflections web app that allows screen mirroring of your iPad.

 

Student Task 2: Prime Numbers Two Ways

  1. On page 1: Import your Prime Number Frayer Model that was created in Popplet Lite.
  2. On page 2:
    1. Find the Prime Factorization of 80 in red.
    2. Find a second way to factor 80 in blue.
    3. Write the prime factorization of 80 using exponents in green.
  3. On page 3: Complete steps 1-3 for 30.
  4. On page 4: Complete steps 1-3 for 72.
  5. On page 5: Complete steps 1-3 for 120.
  6. On page 6: Find the value of 3 x 3 x 3 x 5.
  7. On page 7: Find the value of 3² x 5 x 7
  8. On page 8: Complete the Reflection using a combination of pen and text.
    1. How do you know when you have found a number’s prime factorization?
    2. Does every number have a prime factorization? Explain.
    3. Can a number have more than one prime factorization? Why?
  9. On page 9: Complete the Reflection using a combination of pen and text.
    1. Find all the numbers less than 50 that have at least one 2 and at least one 5 in their prime factorization.
    2. What do you notice about these numbers?
  10. On page 10-12: Solve the following problems:
    1. Find the prime factorization of 240.
    2. Carson and Beth are comparing their secret numbers. Carson’s number has a prime factorization with 2 numbers and Beth has a prime factorization with 3 numbers. Beth says this means her number is larger. Is Beth correct? Explain and give examples.
    3. What is the value of 3² x 5³ x 7.
  11. Email your book to your teacher (there is also an option to print if you have access to an airprinter).

 

Factoring 2 Ways with iPen Free app

 

Student Task 3: Prime Number Matching Card Sort using Popplet Lite

  1. Create 8-10 unconnected popples.
  2. Each popple should be a number, a factorization, or a prime factorization with exponents.
  3. Include some items that could have more than one match.
  4. Pass the Popplet to your partner and have him/her connect the popplets that match (remember some popples may be connected to more than one popple).
  5. If you have any remaining items, create two popples for each unused popple to illustrate prime factorization in two ways. (Change the frame color of the left-over popples).

 


Other iLessons with Popplet & iPen:
  1. Multiplication Stories (iPen)
  2. Inferencing iValentines (Popplet)
  3. More Vocabulary & Frayer Models (Popplet)
  4. Sequencing (Popplet)
  5. Character Map (Popplet)
  6. Geometry (Popplet)
  7. Other Math iLessons

 

Popplet Lite was also featured in “Hot Apps 4 HOTS” iBook to support Bloom’s taxonomy in the iClassroom.

 


18 Oct 2011
Comments: 3

Getting iN Touch with Vocabulary

A fortunate happenstance allowed Mrs. Deforest (our ELAR Facilitator) and myself to land at Ed White Middle School on a day of benchmark testing. At first both of us considered rescheduling our visits but thankfully decided to work together on integrating technology into the upcoming 6th ACL unit instead.

What are some complexities involved in coming to an understanding of ourselves and others?

The essential question drove the activities and technology tools and resources that were assembled that day. Mrs. Deforest already had the videos and readings assembled and had ideas for the activity (e,g, graphic organizer, think/pair/share, gallery walk, Socratic circles, brainstorming, impromptu speech, etc…). I merely had to sprinkle some app-erific seasoning on a few of the dishes to really bring out their flavor…

Resource: One of the first weeks involved students watching a video from a student, Eve Shalen Krakowski, reflecting upon an experience she had in eighth grade:

App-tivity: After the video clip, students would be directed to discuss what it meant to be an “insider” or an “outsider“. As the ELAR department on campus had just received 60 iPads (divided into 3 carts with 20 in each) for classroom use, I wanted to choose a tool that could accomplish the task as well as lend itself as an ingredient to other dishes in the future. I felt iCardSort and a graphic organizer PDF to create a Frayer model would do the trick.

Holt Interactive Graphic Organizers: 38 Total

 

Here’s the recipe for accomplishing this app-tivity:

  1. Launch Safari on your iPad.
  2. Visit http://bit.ly/15hr8m (a bitly version for Holt Interactive Graphic Organizers)
  3. Create a webclip for the site:
    1. tap the box with the arrow on the right of the browser
    2. tap “add to home screen”
    3. save
  4. Launch the site from your new web clip
  5. Select the Web Diagram graphic organizer
  6. Take a screenshot:
    1. press home and off buttons at same time
    2. photo will be automatically saved to your photo roll
  7. Launch iCardSort app
  8. Select an option for delivery:
    1. Teacher creates and beams/blasts default deck: Teacher creates a default deck with labels (“insider”, “definition”, “examples”, “non-examples”, “characteristics”) and students import Frayer Model default deck
    2. Students create deck from scratch
  9. Set the background:
    1. Tap box with arrow on right
    2. Tap Settings/Background Images/Choose Saved Photo/Select Web Diagram
  10. Create a Frayer Model for the word “insider”
    1. Double Tap anywhere on background to create a new card
  11. Layer all cards (grouped so they touch) in each circle before you submit
  12. Email the deck to your teacher (will include 5 groups of text as well as image of model)
  13.  

iCardSort with Holt Interactive G.O. as background


 

Also check out these resources:
  1. Use neu.Annotate PDF free app to annotate PDF (with pens, highlighters, shapes, images, and text)
  2. Use Eduplace graphic organizers in addition to Holt
  3. HOT Apps 4 Brainstorming: Free Brainstorming & Mind-Mapping Apps (reviews, lessons, and resources)
  4. Need Inspiration? Check out 100 Reasons to Mind Map