We began a new week with two quizzes. The first one was for Caesar's English and the other one was for science. I will be grading the Caesar's English quiz this evening and share grades tomorrow.
In math, we did one more day of patterns before starting multiplication tomorrow. One activity that I shared with the students was the Collatz Conjecture. It states that if you pick a number, you divide it by two if it is even and multiply by three and add one it it is odd. If you repeat the pattern long enough and if you do each step correctly, you will always arrive at 1.
I will share two simple examples to prove this. I will do 6 as an even number. Since it is even, divide it by two and get a quotient of three. Three is odd so I multiply by three and add 1 to get 10. Ten is even so I divide by two to get 5: 5.......16.......8.........4.......2........1
With an even number, I will start with 12......12 divided by two is 6; 6 divided by two is 3. 3 x 3 = 9; 9 + 2 = 10; 10 divided by 2 is 5; 5 x 3 = 15, 15 +1 = 16; 16 divided by 2 is 8. 8 divided by two is four. Four divided by two is two. Two divided by two is one.
In science the students took the quiz that was from last week. Once again, all of my students scored at least an 80% which is considered to be mastery. Awesome job!