Least Common Multiple - LCM

Today we worked on finding the the LCM of two numbers.  We reviewed what multiples are and many students were familiar with the strategy of finding the LCM by listing multiples of each number.  So for our example today, to find the LCM of 8 and 12 we listed multiples of each number and then found that the first one they had in common was 36.  

We also explored a new strategy that involves writing the prime factorization for each number using exponents.  Then you put the factors for each (with exponents) in a tic tac toe grid...all the twos( with exponents) go in one column, then the threes, etc.  Lastly, choose the largest number in each column (that's why the 2 cubed is circled) and multiply them together. This strategy was effective for students who enjoy working with exponents and are fluent with the fact that 2 cubed is 2 x 2 x 2.

As always, students can choose the method they prefer.  There are options for solving problems! Either way will direct you towards the answer! 

Greatest Common Factor - GCF

This week we worked on finding the Greatest Common Factor (GCF) of two numbers.  Students already knew the strategy of listing the factors for each number and then finding the largest factor they both shared.  We also introduced another factor using prime factorization.  Here is a video Miss Holt found that shows the new way.  Students may use either way they would like!

First Day of Math!

It was so exciting to have our first day of Math today!  We had a number activity with the following steps:

- Pick a number between one and ten.
- Now multiply that number by 9.
- Add the digits (if you have more than one).
- Subtract five from your answer.
- Associate the number you have now with a letter. 
- What letter did you get?

We noticed that all students wound up with the same letter and some students figured out why that worked.  We didn't give the reason away as to why it works, so some students are still going to think about it this evening.  :) 

A Great First Day!

We had a great first day!  Today students had a chance to meet all the sixth grade teachers.  We also took a closer look at their Enrichment block and did a "practice run" of Thursday's Enrichment schedule--so the sixth graders are all ready for Enrichment first thing in the morning.  We are looking forward to a fun Math activity tomorrow!  Students, get excited!!  And parents, you can even ask your sixth grader about the math activity Thursday night!  I'm hoping they will share some interesting information!