Week 4

LCM & GCF
Hi, kids. By the end of this e-tivity, you will be able to:

1. calculate the Least Common Multiple (LCM) of two given numbers,
2. calculate the Greatest Common Factor (GCF) of two given numbers,
3. identify when to use LCM or GCF to solve real life problems, &
4. invent and solve a problem that requires the use of LCM or GCF.

Average online time: 3 hours
Average offline time: 2 hours
Suggested schedule: click here

Step 1. What do I know about factors & multiples?
Check off the following statements if you are able to do what they describe


┌ I can give the definition of the term factor
┌ I can give the definition of the word multiple
┌ I can list all the factors of 30
┌ I can list the first five multiples of 12


Playing a game
Click here to solve a crossword about factors and multiples


Step 2. Finding the Least Common Multiple and the Greatest Common Factor
You are to select two of these four websites, read the information provided there, write down at least three main ideas, and be ready to share them with all the group by means of our collaborative mindmap.

■ A video about Factors and Multiples
■ Finding the Least Common Multiple
■ Finding the Grestest Common Factor
■ A video about finding LCM & GCF by using Venn diagrams

Sharing what we have learned
Taking into account the information you gathered from the previous websites, edit this collaborative mind-map and contribute by writing down your ideas about the topic (do not forget to write your name).

UserName: quinto    Password: composting



Step 3. Checking Understanding
Are you able to find out the LCM & the GCF of any two given whole numbers? Let's find it out.




GIF animations generator gifup.com


 Step 4. When do I use LCM or GCF to solve a problem?


As you listen to this video answer the following questions:
1) Who was George Polya?
2) How do I find the LCM of two giving numbers by using Venn Diagrams?
3) How do I find the GCF of two giving numbers by using Venn Diagrams?
4) What type of problems require the use of the LCM?
5) What type of problems require the use of the GCF?
6) What's the answer to the frogs' problem?
7) What's the answer to the flowers' problem?



■ How well did I answer the questions above? Here you'll find it out.


 Step 5. Solving Problems

Now that you know how to solve a problem involving the use of LCM/GCF, let's work together towards consolidating our knowledge. Click the image below to have access to our wiki, you need to:

■ solve the problem written there, and
■ invent a new one so that the next person who enters to the wiki has a different problem to solve
■ enjoy reading your peers' problems and learning about the strategies they use to solve word problems

 Step 6. Assessing what I understand

You need to solve an exam and send it to your tutor. You will be evaluated taking into account your procedures as well as your answers. There are a total of 10 questions, you will be given 5 points for each correct procedure and 5 points for each correct answer. According to the number of points you obtain, you will receive the following score

Excellent performance ─ 90 points to 100 points
Fine performance ─ 70 points to 89 points
Resubmission ─ below 70 points

■ Click here to downlowad the exam.
■ Once you have finished it, send it to abogoya@rochester.edu.co
■ If you have any question, please leave a comment at the end of this entry. I'll be happy to help you out!