Main content

## 3rd grade

### Unit 8: Lesson 4

Patterns in arithmetic- Finding patterns in numbers
- Recognizing number patterns
- Math patterns
- Intro to even and odd numbers
- Patterns with multiplying even and odd numbers
- Patterns with even and odd
- Patterns in hundreds chart
- Patterns in hundreds chart
- Patterns in multiplication tables
- Patterns in multiplication tables
- Arithmetic patterns and problem solving: FAQ

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# Finding patterns in numbers

CCSS.Math:

Sal finds patterns in a sequences of numbers, such as 3, 6, 9, 12...

## Want to join the conversation?

- How many patterns are in the world and not just numbers?(6 votes)
- thair are also patterns for shapes but i think u already now that(3 votes)

- I don't get it...can you help pls?(6 votes)
- so ive seen alot of problem solving questions bring up patterns and try to predict the answer, but ive heard about some patterns that eventually fail, so is it actually reliable to look for patterns while solving some problems?(5 votes)
- The yellow is correct that is a pattern.But purple or green is not a pattern.Why are you doing because that is not a pattern at all so call in not a pattern.(3 votes)
- whats next? 01110011 01110100 0110111 0111000(0 votes)
- this is binary numbers(number that, instead of having tens digit, hundreds digit etc. you have mutliple of 2s digits so 0 is 0, 1 is 1 but for 2 you consider no symbol for 2 so you now you have 0 ones and 1 two meaning 2 is 10 then adding another 1: 3 is 11, 4 is 100. it's basically you carry each time there's a two about to come instead of a ten)

it's an alternating pattern of adding 1 and 3 or in this case 1 and 11(2 votes)

- Can a pattern alternate? ie. Add three, then subtract five, then add three again, then subtract five, etc.(2 votes)
- Yes

for example -

1,2,5,6,9 (+1+3+1+3)(3 votes)

- Who knew finding patterns is so easy?(2 votes)
- pattern that is not counting by 4s(2 votes)
- 1,3,6,10, 15, 21,........ what pattern is and missing values ??(2 votes)
- How would you work out the rule for this? e.g. Tana build standard steel fences which are put together in sections. They are all the same length. The patern is:

1 section - 5 pieces

2 sections - 9 pieces

3 sections - 13 pieces

4 sections - 17 pieces

5 sections - 21 pieces

In this case the rule in 4n + 1. What is the rule for the equation in the video?(2 votes)- Wow, this is some good stuff here.(1 vote)

## Video transcript

- [Voiceover] What I want to in this video is get some practice figuring
out patterns and numbers. In particular, patterns that take us from one number to a next number in a sequence. So over here, in this magenta color, I go from 4 to 25 to 46 to 67. So what's the pattern here? How did I get from 4 to 25 and can I get the same way from 25 to 46 and 46 to 67, and I could just
keep going on and on and on? Well there's a couple of
ways to think about it. When I see 4 and 25, let's see, 25 isn't an obvious multiple of 4. Another way to go from
4 to 25, I could add 21. Let's see, if I add 21, 4 plus 21 is 25. If I were to go from 25 to 46, well I could just add 21 again. It looks like to go from
one number to the next I'm just adding. I wrote 12 by accident, 21. I'm just adding 21 over and over again. That's going to be 46 plus 21 is 67. And if I were to keep going, if I add 21 I'm going to get to 89. If I add 21 to that I'm going to get 110, and I could keep going
and going and going. I could just keep adding
21 over and over again. The pattern here is I'm adding 21. Now what about over here, in green? When I look at it at first,
it's tempting to say, 3 plus 3 is 6. But then I'm not adding 3 anymore to get from 6 to 12, I'm adding 6. And then to get from 12 to 24, I'm not adding 6 anymore, I added 12. So every time I'm adding twice as much. But maybe an easier pattern might be, another way to go from 3 to 6, isn't to add 3, but to multiply it by 2. So I multiply by 2 to go from 3 to 6, and if I multiply by 2
again, I go from 6 to 12. 6 times 2 is 12. If I multiply by 2 again, I'll go to 24. 2 times 12 is 24 and I could
keep going on and on and on. 2 times 24 is 48, 96, I
could go on and on and on. The pattern here, it's
not adding a fixed amount, it's multiplying each
number by a certain amount, by 2 in this case, to get the next number. So 3 times 2 is 6, 6 times
2 is 12, 12 times 2 is 24. Alright, now let's look at this last one. The first two terms here
are the same, 3 and 6. The first two numbers here. I could say, maybe this is times 2, but then to go from 6 to 9,
I'm not multiplying by 2. But maybe I am just adding 3 here. So 3 to 6, I just added 3. Then 6 to 9, I add 3 again, and then 9 to 12, I add 3 again. So this one actually does look like I'm just adding 3 every time. The whole point here is to see,
is there something I can do, can I do the same something
over and over again to get from one number to the next number in a sequence like this? What you want to make sure
is even if you think you know how to go from the first
number to the second number, you've got to make sure
that that same way works to go from the second
number to the third number, and the third number to the fourth number. But here we figured it out. In this first set of numbers,
we just add 21 every time. This one we multiply by 2 every time. This one we add 3 every time.