210-710-2434
210-710-2434
01 Apr 2012
Comments: 0

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.

FREEBIES and GOODIES OH MY!

TechChef4u now offers a Doc Locker full of freebies and goodies that can be used in the classroom. Lots of resources and templates can be found in the Creatively Productive Digital Downloads Doc Locker. Just sign up using the form below and you will receive an email shortly with a secret link to the site and password to nab your freebies.

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09 Mar 2012
Comments: 5

What’s Cooking in your iClassroom?

While educators know that math is all around us, sometimes students have a difficult time grasping its impact on our every day activities. Though the apps listed below may not inherently scream proportions, rate, sequences, and percentages, they very easily lend themselves to providing creative and engaging connections to real world problem-solving activities. Some of the apps can be used as hooks and others to provide data for further problem-solving or to spark discussion. (App Screenshots added to and displayed with XNote app with customizable graph paper background).

Real-World Math meets Edutainment curated with XNote app
  1. Farmers Market: This tool provides users with 4 different vendors and 4 different customers. Vendors sell anything from vegetables and glassware to shoes and coats.
    1. Elementary students could create basic multiplication and addition sentences and then solve them, as seen with Ms. Carnazzo’s classor compose and check problems based on change and currency.
    2. Middle School students could create word problems involving unit price, tax and mark up/markdown or research and discuss the difference in price and impact of buying local vs. buying from a corporation.
  2. Kidz Kitchen: Provides users with an option to make pastas and pizzas as well as cook lunch and dinner. In the “making pasta” segment, users guide the chef through the kitchen to complete the steps of making a series of different meals.
    1. Early elementary students could utilize this tool to learn order and sequence of a task.
    2. Middle School students could create word problems that involved proportions, fractions, and conversions for recipes, how much food would need to be ordered so there was the least amount of food waste based on the dishes ordered, or research and map out times for when the chef would have to start prepping and cooking each element of a meal to complete it by a certain time.
  3. Lil’ Kitten Shopping Cart Game: Lil’ Kitten is given a specific amount of money ($25) and a list of items he has to purchase for his family (e.g. butter, guava, ice cream cones, yogurt, bacon). First he has to locate each item in the store, and then he has to choose which brand of item to purchase (e.g. one brand of bagels may cost $3.50, another $3.00, and another $2.50). The goal is to purchase all of the items and still have money left over. While Lil’ Kitten’s list typically only has 4-6 items, he can actually dump up to 10 items in his cart (including items that are not on the list). When he has put all of the items on the list in his cart, he can check out and is provided with a write-up of his original budget, money spent, money saved, etc.. If he has money left over, he can buy a toy from the store as well.
    1. Elementary students could practice creating and solving word problems that involve change, multiplication situations, repeat addition, etc..
    2. Middle school students could again create word involving unit price, tax and mark up/markdown or research and discuss then and now prices of grocery stores.
Don’t take my word for it… Check out Carnazzo’s engaging uses of real world mathematics and edutainment app(s). She recently sent me a delightful iLesson involving students taking screenshots from the app My PlayHome (or My PlayHome Lite), composing a multiplication story and solving it using the app iPen (or iPen Free). Check out several other ideas for utilizing My PlayHome in the iClassroom.
Carnazzo’s Multiplication Stories utilizing My PlayHome and iPen

FREEBIES and GOODIES OH MY!

TechChef4u now offers a Doc Locker full of freebies and goodies that can be used in the classroom. Lots of resources and templates can be found in the Creatively Productive Digital Downloads Doc Locker. Just sign up using the form below and you will receive an email shortly with a secret link to the site and password to nab your freebies.

Receive Access to the Creatively Productive Digital Downloads Doc Locker

* indicates required