Thursday, January 31, 2019

Graphing Points on a Coordinate Plane
CCSS.MATH.CONTENT.6.NS.C.8


       For this week's blog, I decided to focus on a topic that my students will be introduced to within the next week or so.  Right now, the students are learning about the fundamentals of coordinate planes and how to locate objects.  However, based on my observations, I believe that my students are going to have difficulty when it comes to plotting the coordinates.  A majority of my class is having difficulty with the conception of graphing let alone where the x and y-axis are graphed.  Also, they are having a hard time locating the objects coordinates. It has been a very long time since I graphed points on a coordinate plan so I felt it was in the best interest of myself and my students to review this topic in order to successfully assist them.  
         It would be in the best interest of the students if I introduced the lesson in steps.  First,  I would begin the lesson by providing my students with vocabulary for that topic.  Since most of my students are tech savvy, I would provide them with the link to a website called Quizlet.  This website will provide them with the vocabulary words for the lesson through virtual flashcards that even include the definitions.  Another great feature of this website is that the students can practice lesson vocabulary through study and play.  For example, there are multiple choices quizzes and even games to review vocabulary words and definitions.  I believe this is a great way to reinforce vocabulary and concept skills in order to gain knowledge in this particular topic.  


          Next, I would discuss the graph and where the x and y-axis should be placed.  The best way to teach students where to place the x and y-axis is to relate it to something realistic such as horizontal and vertical lengths.  I would tell my students that horizontal has the word horizon in it and just like the earth's surface and sky meet the x-axis meets the coordinate plane at the bottom of the graph.  Then, I would teach them to remember the y-axis is vertical just like a vertical blind.  I would also provide my students with a visual of a horizon and vertical images.  

Horizon     https://goo.gl/images/nUyrTa 
Vertical blind   https://goo.gl/images/zb1Mpv

          Another way I would differentiate the lesson if for those who are audio learners.  I would provide them with a song that Introduces Coordinates Planes. This will allow my students to learn about graphing on a coordinate plane through audio as well as visuals.  


           




        Then, I would model how to graph points on a coordinate plane (I Do).  Followed by, providing my students with graphing worksheets so we can practice finding the coordinates together (We Do).  This would be followed with independent practice and exist ticket (You Do). This will allow me to see who mastered the concept and who needs more practice.  If needed, I would then form small group instruction.  

Wednesday, January 16, 2019

Locating GCF and LCM

Introducing Greatest Common Fraction (GCF) and Least Common Multiple (LCM) of Fractions 

I hope everyone enjoyed their holiday and time off from school. I can not believe how fast the holidays came and went. Like they say, all good things must come to an end. So, with that being said its time to begin a new semester and get back to work.

For this week, I decided to focus on GCF and LCM. For some students, they will struggle with the concept of GCF and LCM because they are not fluent in their multiplication tables. I am currently working with a 6th grade class.  They had difficulty with this topic because the entire class was not fluent in the time table at all.  Looking back, I know when I was in school, I had difficulty with fractions and finding GCF and LCM as well.  However, I was fluent in my multiplication tables, so I feel it was more conceptual for me.  After careful consideration, I felt it was important for me to combine the difficulty my student's experienced with my own to formulate this lesson plan I developed.

To begin, I would like to introduce a multiplication refresher course using a YouTube video.  This is a fun way of having students learn and memorize the multiplication tables.




https://youtu.be/EgjCLhoI9Mk

Greatest Common Factor

The greatest common factor, or GCF, is the greatest factor that divides two numbers. (http://www.math.com/school/subject1/lessons/S1U3L2GL.html)


To find the GCF of two numbers:

  1. List the prime factors of each number. (Refer to multiplication facts)
  2. Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1.


Least Common Multiple 

common multiple is a number that is a multiple of two or more numbers. The common multiples of 3 and 4 are 0, 12, 24, ....
The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both.
http://www.math.com/school/subject1/lessons/S1U3L3GL.html

The CCLS for 6th grade in this particular topic would be 6.NS

Steps to Locating LCM 
Least Common Multiple (LCM) anchor chart.


After conducting some research, one way to teach this topic is to use the Ladder method.  

Mrs. White's 6th Grade Math Blog: The L method for finding GCF and LCM































https://pin.it/6qfxc3ky6giron

1. The above examples I provided will allow me to differentiate and scaffold the lessons for my students.  

2. By providing these various methods, I can teach my students all the different ways to find GCF and LCM. 

2. The methods I provided will allow students to gain hands-on experience as well as give them the freedom to choose which method is the easiest for them to use.  

3. Students can work with accountability partners, which will allow them to communicate different ways of finding GCF and LCM.