1. a, b, c and d are four distinct positive integers such that the product of any two of them is any multiple of 12. Find the least possible value of a + b + c +d.
2. My twelve-hour clock has four digits, two for the hours and two for the minutes. The minutes are shown with leading zeros but the hours are not. Upside down, the digits 0, 1, 2, 5, 6, 8 and 9 read 0, 2, 3, 5, 9, 8 and 6 respectively. One day, I made a phone call on the appointed time and learned that it was too early. Then, I realized that I had read the clock upside down. If you know by how much I was early, you will know the time when I made the call. The time I should have made the call was….
In order to solve these math problems, you should be able to show you are a thinker. IB student should be able to use thinking skills critically and creatively to understand problems in order to reach a solution/decision.
Note taking… how do we organize it?
One of the problems I’d like to emphasize here is how we organize our notes. Over the years we have develop this practice of safeguarding our notes or documents, download files pictures and even clips that we feel are necessary or simply because they are good information. But alas, after all these gatherings and storing these “stuff” we literally end up with… stuff!
I have been searching the net and even have been into forums asking about what’s their best practice when it comes to organizing your notes. The best answer was OneNote.
OneNote is a Microsoft-based program that helps you with all your note taking… and more. It’s literally a digital notebook but better. If you have been using OneNote you’ll understand what I’m saying. So just to simplify things, here are some of the best benefits of OneNote that I truly am thankful for.
• Note taking by typing, handwriting, recording Audio or Video. Note taking has never been so flexible. If you’re fast in typing, or would rather write your notes by hand, OneNote allows you to do both. Say you can’t catch up with the lecturer’s speed or can remember a topic by seeing it, recording via audio and video is also possible with it.
• Automatic Saving. Have you ever experience typing something then the program closes? And worse when you open it up again it’s either it wasn’t saved or only part of it was saved. With OneNote you don’t have to save what ever you are doing since it saves it automatically
• Endless and Freedom of Space. When we use word we are limited to a size of a paper, but with OneNote we have an almost limitless space. When using our notebooks, we decide where to write, same is true with OneNote. Just click on anywhere and you can write, paste, post attach or link almost anything anywhere. It even gives you an option on resizing what you have written to make it bigger or smaller.
• Organization. Another thing that I truly love about it is the organization of the notes. Imagine having a notebook that is divided into sections and each section contains a page that is almost limitless in space. You can label your notebook, the Section and even the title of the page. And it even allows you to sort them out according to how you’d like them to be. Oh did I mention you can even assign color coding for these? How cool is that?
• Attachments. This is something that OneNote edges way above a regular notebook. You can attach almost anything to it such as (to name a few) word documents, excel sheets, PowerPoint, pictures, PDF files, audio, websites, articles from websites, Videos (that can be played in it) etc.
These are just a few of the things that you can do with OneNote and it’s free. You can even use OneNote over a pc, a Mac, Linux, Android, iOS… on your Phone, tablet, Laptop or desktop. And it synchronizes your notes in all your devices.
I know I may sound like I’m advertising OneNote, well probably your are right. But here’s the thing, I’m not getting paid for this. It has been such a great help in my work that I couldn’t help but share my best practices.
Lastly, as a math teacher this has been a great tool for me because of its math application included. So if you’re looking for a way of organizing your notes and doing something more, maybe you should try it. Who knows.
In many math classes, there are times when the teacher lectures. Sometimes
the teacher writes key words, examples, and explanations on a whiteboard
or a projector. Sometimes the teacher uses presentation software like
PowerPoint. The examples may be the same or different than the examples in the
As a student, you need to listen, understand, ask questions, and take notes. For
many learners, the very act of taking notes helps them retain the material. Notes
also are a record of what your instructor thinks is most important and a source of
help for doing homework.
When you are taking notes, you are writing, listening, and thinking about new
material at the same time. If you search the Internet for note taking in math, you will
find many different systems for organizing and using your notes. What you choose
to do depends on whether your teacher expects you to always take notes, how fast
you can write, how much you need to watch (not just listen) to learn, and how your
teacher presents the information. For most students, the system they use is not as
important as having a time as soon after class as possible in which they rewrite and
organize their notes, connecting the notes to the material in the textbook.
The Math Society is a club for CISM students with an interest in Mathematics. This club will give you a meaningful background in mathematics by giving special program of instruction in various topics in Mathematics such as Basic Mathematics, Number Theory (Elementary), Set Theory, Basic and Advanced Algebra, Geometry, Trigonometry and Statistics (Middle and High Schools). It also serves as a vehicle for identifying and preparing participants for local and international mathematics competitions.
The club meets every Wednesday from 2:30 – 3:30 PM. The Math Society is advised by Mr. Jasper Bacolod.
For any further question about the Math Society, feel free to contact us in your convenient time.
Students are welcome to attend my tutorials after classes from 2:30 – 3:30 PM at Room 405. The time is prepared to entertain your questions from the current or previous lessons and homework. This is voluntary, although in some instances, attendance may be required to make up the missed quizzes/homework. I look forward to helping you succeed in Mathematics.
Math League Competitions Winners – NCR Level
Grade 6 Category
Erich Paredes – 1st Place
Joonhee Han – 8th Place
TEAM CATEGORY CISM Team – 1st Place
Applied problems are those which are solved by using algebraic techniques. There is a great number of applied problems that can be translated into linear equations in one variable.
The following steps might be helpful in solving every applied problem.
1. ANALYZE: It consists of finding out the given, the conditions imposed by the problem and what is supposed to be answered.
2. REPRESENT: It involves the process of selecting and assigning a variable to the unknown quantity and expressing all other quantities in terms of the unknown quantity as described by the conditions imposed by the problem.
3. TRANSLATE: It consists of rewriting in the problem to a mathematical sentence using the variable in step 2.
4. SOLVE: It involves the process of finding the value of the unknown quantity in the mathematical sentence in step 3.
5. CHECK: It involves verification of the solutions with the condition of the problem.
Enjoy watching. – Mr. Chavez
One of the IB Learner Profile states that an IB student is someone who exemplifies honesty, integrity, justice, and respect. Collectively these traits describe a principled learner. How is this learner profile evident in a Math class?
An IB student knows when to persevere until a solution to a problem has been reached but they also recognize the need for guidance or assistance from the teacher or a classmate. This allows them to not only find the solution to the problem but learn the process of how the solution has been reached. Principled learners know when to seek help from others and at the same time offer help to those who may be struggling.
Principled learners are healthy competitors. They exert effort in everything that they do but their mindset is always to bring everyone up with them. They are not threatened with competition rather they use it to inspire and motivate themselves to become better.
An aid for navigation and pilotage at sea is the lighthouse , a tower building or framework very familiar among the navigators, especially to those who sail by boat. This lighthouse serves as the compass for the navigators as it provides travelers and mariners information on the wind direction by displaying a light for their guidance. Lighthouses also provide coordinate location for small aircraft traveling at night.
Because of modern navigational aids, the number of operational lighthouses has declined to less than 1,500 worldwide. Lighthouses are used to mark dangerous coastlines, hazardous shoals away from the coast, and safe entries to harbors.
Just like the lighthouse, you will be introduced to the world of symbols that are used to convey ideas in Algebra. The concept of variables and algebraic expressions are basic in the study of Algebra. The use of variables and symbols become more meaningful when word phrases or verbal phrases are translated to mathematical phrases . Identifying the key phrases in verbal phrases facilitates translating them to mathematical phrases . This process is a prerequisite in solving word problems.