Day 18 Study Guide for LCM, GCF, and Divisibility

6th Grade Math Standards: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4(9 + 2).
MA.4.a. Apply number theory concepts, including prime factorization and relatively prime numbers, to the solution of problems.

The Learning Objective: Apply the rules of divisibility for 2, 3, 4, 5, 6, 9 and 10; find the greatest common factor of two or more numbers; find the least common multiple of two or more numbers

Quote of the Day: “Care is so important to a team because if you want to change limits, there are going to be times when members of the team make mistakes. When you make a mistake, and you know it, you become very vulnerable. The immediate responses of those on your team, those you trust the most, will determine how you perceive your mistake. It can make you feel fearful of making that mistake again. Or you can feel that you put yourself on the line and even though you did not succeed, you know that your teammates care about you and you will not hesitate to step up again.” - Coach K

Assessment: At the end of class, we used the clickers and asked these five questions:

1. How many factors does 36 have?
2. What is the greatest common factor of 18 and 30
3. What number does not go into 240 out of 2, 3, 4, and 9
4. 20 Skittles. 12 Nerds. How many goodie packages?
5. 20 Skittles, 12 Nerds. 4 Goodie packages. How many Skittles? How many nerds?

Agenda:

1. Estimation 180 
2. Study guide 
3. Gizmos & Gadgets Problem (from imlem.org) At the Gadgets and Gizmos factory workers complete a gadget every 588 minutes and a gizmo every 882 minutes. The factory is open 24 hours a day, seven days a week, and the workers always complete the gadgets and gizmos on schedule. If it happens that a gadget and a gizmo are completed at the same time at 3:00 P.M. on Thursday November 29th, how many additional times will a gadget and a gizmo be completed at the same time before 3:00 PM on Thursday December 6th?  
4. Clickers (Exit) 
5. Work on Weekly Quiz #2

Glass Half-Full Take: I utilized the individual marker boards for the first time this year and in my career as part of the exit ticket. Historically I have had poor luck with getting students to show their work when we used clickers although they always have enjoyed using the clickers and the clickers have been a great way for me to get feedback. The marker boards improved the process immensely for me to assess student errors and also for the students to actually want to show the work. Yay marker boards.

One Regret: I really did not anticipate the study guide taking as long as it did. It could take up a whole block and then some, if I had wanted it to. In the future, I might eliminate Estimation 180 and just do the study guide right from the start of class. In the event that students finish early, the gizmos and gadget problem was not solved all day to my knowledge, so it's something for students to work on.

Homework: Study for the test and finish the weekly quiz.

Link of the Day: A lack of play is one reason to blame for a rise in ADHD.