It’s Thursday already. Jeeeeeez
This morning we finished up some notes on multiplication and division. We talked at length about how they are the inverse of each other, and the vocabulary used with both.
Then we started talking about how to find the factors of a number. We know that a factor times a factor gives us a product. So a factor is one of two numbers that when multiplied, will give us our original number.
a (factor) x b (factor) = c (product)
So for instance, the factors of 12 are…..
1, 2, 3, 4, 6, 12
because….
1 x 12 = 12
2 x 6 = 12
3 x 4 = 12
We then went on to talk about common factors. In this case we are given two numbers, and we are trying to find all of the factors that the two numbers have in COMMON.
So if we were given the numbers 4 and 10, the common factors would be 1 and 2 only. This is because these are the only two factors that 4 and 10 have in common. We can see this by making a list of each number’s factors.
Factors of 4: 1, 2, 4
Factors of 10: 1, 2, 5, 10
Tonight for homework, students have a list of 10 pairs of numbers. They should find the common factors for each pair. They are:
1. 7 and 24
2. 16 and 48
3. 32 and 64
4. 11 and 95
5. 27 and 35
6. 58 and 20
7. 100 and 10
8. 36 and 48
9. 2 and 3568
10. 12 and 1,456,374
Number 9 and 10 are thinking problems! Don’t kill yourself making it more difficult than it is. For example in number 9, the only two factors of 2 are 1 and 2, so the only POSSIBLE common factors for 2 and 3568 are 1 and 2. So you just have to check them with 3568……
In Language Arts we talked more about our Goldilocks stories. The students did a MUCH better job coming up with “why I did it”s last night, and we started re-writing our stories using these ideas.
Tonight students should finish their re-write up until the point where they fall asleep. They are WELCOME to make changes to the story to fit with their new ideas, and I look forward to reading these this weekend!
Finally, we went outside and we have TONS of new growth. It is fantastic. I asked students to “pick one of your vegetables to start measuring its growth!”, and one student only heard the “pick one of your vegetables”, so we had a bit of a pre-mature picking of a cucumber. That was fine though, because we chopped that little thing into 24 little pieces, and we all got our first little taste of our garden. It was great!
so, tl;dr
10 common factor problems
1. 7 and 24
2. 16 and 48
3. 32 and 64
4. 11 and 95
5. 27 and 35
6. 58 and 20
7. 100 and 10
8. 36 and 48
9. 2 and 3568
10. 12 and 1,456,374
re-write goldilocks story using new ideas and motive for breaking and entering!
cucumbers are delicious!
Have a good one,
-Mr. Potter