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### Course: 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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# Recognizing number patterns

Sal explores whole number patterns and their rules, including patterns in tables.

## Want to join the conversation?

- Patterns can get much more complex, and I think they can be difficult to solve. What is a good system for figuring out more complicated patterns?(7 votes)
**This answer is re-pasted from another answer above**

Try to find a sequence, or pattern is basically what it all is. Try to find a relation between the numbers, is it whole? Is it positive or negative? Does the number get bigger or smaller?

From my limited knowledge, that is how I would approach it, just try to find a correlation. Or find an input/output rule, identify the pattern, is it a geometric or arithmetic sequence. Look deep and you'll find something and get it.*Hope this helps!*(1 vote)

- stay on task yall(2 votes)
- So, basically, a pattern is when something is consistently being added/subtracted/multiplied/divided and all we're trying to solve is 1) what that consistent number is and 2) plugging that in to the previous number to get the answer(2 votes)

- I don't get the 3rd question(1 vote)
- How does it work by 3+3+3+3+?(1 vote)
- how do we do 9 times with our fingers?(1 vote)
- Patterns can get much more complex, and I think they can be difficult to solve. What is a good system for figuring out more complicated patterns?(0 votes)
- Try to find a sequence, or pattern is basically what it all is. Try to find a relation between the numbers, is it whole? Is it positive or negative? Does the number get bigger or smaller?

From my limited knowledge, that is how I would approach it, just try to find a correlation. Or find an input/output rule, identify the pattern, is it a geometric or arithmetic sequence. Look deep and you'll find something and get it.*Hope this helps!*(1 vote)

- what is the biggest black hole in every universe(0 votes)

## Video transcript

- [Instructor] We are asked
which expression can we use to find the missing number in the pattern? So pause this video and
see if you can try this before we do this together. All right, now let's try this together. And the way I would tackle
it is I'll try to see, hey, can I figure out the
pattern between these numbers? And then I could try to
figure out the missing one. So to go from 36 to 45, it looks like I'm increasing
by nine, so I add nine. And it looks like to go from
63 to 72, we're adding nine. It's good to make sure that the pattern that you think is happening is happening across all of the numbers
that you're seeing. And to go from 72 to 81, it
looks like you're adding nine. So I'm pretty confident that to go from 45 to this blank
number, I have to add nine. And we see here indeed,
choice B is 45 plus nine. This number here, you don't even have to
figure out what it is. Some of you might realize it's 54. But this is just going to be
this number plus nine is going to go in the blank. So 45 plus nine. Let's do another example. So here's it's a little bit different. It says if the pattern continues, what will be the sixth
number in the pattern? Pause this video and
try to figure that out. All right, so first let's
figure out the pattern. To go from two to six, it
looks like we added four. Then we are adding four
again to go from six to 10. Then we're adding four
again to go from 10 to 14, so it seems like we're
adding four every time. And this is the first one,
two, three, four numbers in the pattern. So the fifth number in
the pattern is going to be 14 plus four,
which is going to be 18. And then the sixth number in the pattern is going to
be 18 plus four, which is 22. And that's what they want. They want the sixth number in the pattern. So 22 is choice D. Let's do another example. Here we're told the table
below shows the number of laps Carly ran around
the track each day. Which rule describes the pattern shown by the number of laps Carly ran? So like always, pause this video and see if you can work on this. All right, it seems like
every time a day goes by, the number of laps are going up by three. So if you wanted to
figure out the next day, let's say day six, you would
add three from day five. So the pattern here is to add three.