The 3Rs

Hi, dear students
Today's activity will be host at

http://rochi-vrc.blogspot.com/p/lo1.html

Solving problems using either LCM or GCF

Hi, Kids. By the end of this task, you will be able to:

1. Identify when to use Least Common Multiple (LCM) to solve real life problems.
2. Invent and solve a problem that can be solved by using LCM.

Average online time: 20 min
Average offline time: 15 min

Pedro goes to the gym every 8 days and has tennis lessons every 12 days. If today, Monday September 27th, he did both activities, when will he do both things again?

Analysis
Well this problem requires LCM since it is about events that repeat over and over.

Procedure
I will find the LCM of 8 and 12
Multiples of 8: 8, 16, 24, 32
Multiples of 12: 12, 24

The LCM of 8 and 12 is 24

Answering the problem
The number I found indicates that every 24 days Pedro does both things. I today is September 27th, 24 days from now will be....

October 21st.
Pedro will do both activities again on October 21st.

YOUR TASK
1) Invent a problem that can be solved by using LCM and solve it.
3) Post your problem, the procedure you used, and a complete answer. 
(before posting revise for proper written English)

Prime Factorization

Hi, kids. By the end of this task, you will be able to

1. Define what prime factorization is, &
   
2. Use the factor tree method to find the prime factorization of any number.
   

Average online time: 20 min
Average offline time: 15 min

Let's review what prime factorization is. We can define it as the string of prime factors whose multiplication is the given number.

Let’s use a factor tree to find the prime factorization of 84.

Let's look at the last row, it only contains prime numbers. We have found the prime factorization of 84.

84 = 2 x 2 x 3 x 7

We can also write it down using exponents. The factor 2 repeats twice, so what do we do?



Let's check this out:


84 = 2 to the second power x 3 x 7


Your job is to pick up any number greater than 50 and post a comment including:

a) the prime factorization of the number

b) in case a prime number repeats twice or more, re-write the prime factorization using powers


See you around :)

Solving Problems using either LCM or GCF

Hi, Kids. By the end of this task, you will be able to:

1. Identify what to use LCM or GCF when solving real life problems.
2. Explain the procedure you use to solve this type of problems.

Average online time: 15 min
Average offline time: 15 min

Margarita is planning a party. She’ll give every 8th guest a nice flag of our country and every 24th guest a beautiful pin. Which customer will receive both the beautiful pin and the flag?


Time to post your answer!
Write a comment in the box below, then click on the button "post comment".
Don't forget to explain your reasoning.

Let's talk about the grading system in USA

Hi, tenth and eleventh grade students. As some of you are thinking about going abroad to study, it is important to know key features of the educational system of the country you plan to go. According to the survey the school did most of you are willing to study in the USA.

Therefore, this e-tivity is about knowing the grading system in schools and universities in USA. By the end you will be able to:

• identify how schools grade students in the USA
• identify key strategies to get good grades
• compare the USA grading system and our school grading system

Average online time: 40 min
Average offline time: 40 min

1) Thinking about what I know

a) Have you ever studied abroad? If so, what did you like about it?

b) What do you know about grades in American schools?

Let's share our ideas and experiences. Write the answers to the previous questions in the following shoutbox.




2) Finding information

a) Look at the cartoon below.

■ What is the boy's father holding?

■ What does the "F" mean?

■ What is a report card?

b) Let's watch a video. Turn on your speakers. Your mission is to take some notes as you listen, and then answer some questions.

Video downloaded from http://vimeo.com/6631750

Ready...click here to answer some questions about the video you just watched (you can always go back and watch the video as many times as you need)

What would you say is the main difference between the USA grading system and Rochester grading system?

c) Let's read an article about how to get and keep a good GPA. Please, click here.

Afer reading the article, write down on a word document file the answers to these questions:

■ Why is it important to have a high GPA?

■ What strategies of the ones mentioned in the article do you currently apply?

■ What stategies would you like to implement? Why?

■ What does it mean the last sentence of the article "Education remains the single factor that will separate those who are prepared to lead from those who desire to lead. It's never too late." ?

3) Reflecting upon USA grading system

Now, you are ready to write a one-page essay about a) differences and similarities between USA grading system and our school grading system, and b) strategies you might implement when studying abroad in order to get and keep good grades.

You will be graded according to this rubric.

Please send your essay to abogoya@rochester.edu.co by May 7th, 6:00 p.m.

Below you will find a list of additional resources, if you have any question please leave your comment here. I will answer it as soon as possible.

• http://www.discoverabroad.com/us/livingabroad/education/gradingsystemintheus.htm
• http://www.americangraduateeducation.com/folder1/subfolder1/edusystem.htm
• http://www.usaeducationguides.com/guidance/articles/080703-us-college-admission.jsp
• http://www.ehow.com/facts_5148015_gpa-calculated.html
  

Resources:
The activities here proposed were done using the following programs:

• a) Hotpotatoes versión 6
• b) http://www.gifup.com/
• c) http://www.freeshoutbox.net/
  

How can I find an unknown value in a given problem?

Hi, kids. This e-tivity is about using our knowledge and our ability to find information to solve a math problem.

By the end, you'll be able to

• develop a strategy to solve a problem when a data is missing and support the choices you make.

Average online time: 15 min
Average offline time time: 15 min

TASK

The day there were not buses due to the transportation strike, you decided to go on foot. When you have walked 5/8 of the distance from your house to the school, you stopped to drink a soda. At that moment, how many kilometers were you from the school?

Post your comment explaining how you got the answer.

Hints:

1) Does the problem give you all the data you need to solve it?

2) How can you find all the data?

3) Will a drawing help you figure out a way to solve the problem?

4) What operations do you need to solve the problem?

See you around!

What is missing?

Hi, kids. This e-tivity is about using our knowledge and our ability to find information to solve a math problem.

By the end, you'll be able to

• develop a strategy to solve a problem when a data is missing and support the choices you make

Average online time: 20 min
Average offline time time: 10 min

TASK

Taking into account the information below

1) choose one of the flights,

2) find out what time it will arrive at its final destination &

3) explain the procedure you used to find the solution

Post your comment including answers to all the above numerals.

See you around!

This page might help you out:

http://distancecalculator.globefeed.com/Colombia_Distance_Calculator.asp

Working with the Isosceles Triangle

Hi, kids. This e-tivity is about using what we have learned about the isosceles triangle to solve problems. By the end, you will be able to

• find out the measure of a missing interior angle
• develop a method to solve problems involving triangles

Average online time: 20 min

Average offline time time: 10 min

You are about to watch a video.

Turn on your speakers, or put your headphones on.

Scale Drawings

Hi, kids. Hope you enjoy this e-tivity as much as I did when designing it. By the end,

• you will be able to use scale factors to reduce or enlarge a given figure,
• you will be able to understand what a scale drawing is.

Average online time: 20 minutes

Average offline time: 10 minutes

DEFINING A SCALE DRAWING

A drawing that reduces or enlarges a real one by multiplying all the dimensions (length, width, depth) by a certain amount called scale factor. If the scale factor is greater than 1, the figure is enlarged; on the other hand, if the scale factor is less than 1, the figure is reduced.

EXAMPLE: Fifth graders want to enlarge or reduce FIGURE A.

Carlos decides to enlarge it. He chooses a scale factor greater than 1.

SCALE FACTOR = 10

New length = 5 cm x 10 = 50 cm

New height = 3 cm x 10 = 30 cm

So, Carlos' scale drawing has a length of 50 cm and a width of 30 cm.

Patty decides to reduce it. She chooses a scale factor less than 1.

SCALE FACTOR = 0.5

New length = 5 cm x 0.5 = 2.5 cm

New height = 3 cm x 0.5 = 1.5 cm

So, Patty's scale drawing has a length of 2.5 cm and a width of 1.5 cm.

YOUR TASK

1) Decide whether to enlarge or reduce FIGURE B

2) Choose a scale factor

3) Calculate the length and height of your scale drawing

Post your comment including answers to numerals 1,2 & 3. See you around!.

:)