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### Course: MAP Recommended Practice > Unit 16

Lesson 2: Number patterns- Graphing patterns on coordinate plane
- Interpreting patterns on coordinate plane
- Interpreting relationships in ordered pairs
- Graphing sequence relationships
- Rules that relate 2 variables
- Tables from rules that relate 2 variables
- Graphs of rules that relate 2 variables
- Relationships between 2 patterns

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# Graphing patterns on coordinate plane

Learn about understanding numerical patterns. Explore how to generate a second pattern from a given one by applying a rule, in this case, multiplying by 3 and adding 1. Then, graph the pairs of corresponding terms from both patterns on a coordinate plane. Created by Sal Khan.

## Want to join the conversation?

- how does he get the answer I don't understand!(28 votes)
- Because it almost like a cooridante plane. A is the x axis and B is the b axis think of it that way(16 votes)

- this doesn't even help with what I need it to help me with

(┬┬﹏┬┬)(22 votes) - What is the use or the importance of Coordinate Plane?(0 votes)
- 1. Describing position.

2. Location of Air Transport:

An air traffic controller must know the location of every aircraft in the sky within certain geographic boundaries.

3. Map Projections.

4. Latitude and longitude:

A geographic coordinate system is used to assign geographic locations to objects.

5. Military service:

For each target there are coordinates to determine the precise position of them.

6. Economy:

for analysing and managing.(41 votes)

- how do you write the notes for home work(3 votes)
- I think I get the KHANcept!(2 votes)
- So where is the origin again?(1 vote)
- Hi exclusive.Zar-ruh! The origin is at (0,0). The origin is the beginning of the "x axis" and the "y axis". You can also think of it as being in between the negatives and positives of both axes. Once you understand coordinate planes, it is truly a very simple concept. Hope this helps! Have a great day! 😄(2 votes)

- how many 4 are in 5(1 vote)
- are you asking how many times 4 goes into 5? the answer is 1 because 5 - 4 = 1.(1 vote)

- At1:54Sal started to say things over and over again. IS THAT BAD?(1 vote)
- think he was trying to make things clear for everyone I mean like you caught that so it was clear maybe he thought the person was kinda distracted at that point like my SISTER is distracting me with dolls (just an example)(1 vote)

- what is the relationship.(1 vote)
- Exponential form 100×100(1 vote)

## Video transcript

The following table contains
the first five terms of the given Pattern
A. Generate Pattern B according to this rule. For every term of Pattern
A-- so they give us the terms of Pattern A
here-- multiply the term by 3 and add 1 to get the
corresponding term of Pattern B. Then graph the pairs
of corresponding terms. So for every term in Pattern A,
we want to multiply by 3 and 1. So if we multiply
0 by 3, we get 0. And you add 1, you get 1. If you multiply 1
by 3, you get 3. And then you add 1, you get 4. 2 times 3 is 6, plus 1 is 7. 3 times 3 is 9, plus 1 is 10. Remember, we're just
multiplying by 3 and adding 1. 4 times 3 is 12, plus 1 is 13. So those are the corresponding
terms for Pattern B. And then they ask
us to graph them. So let's try to
graph these points. So when Pattern A is
0, Pattern B is 1. When Pattern A is 0-- so
this is Pattern A equaling 0. That's our horizontal axis, the
value of Pattern A-- Pattern B is the value of
our vertical axis. Pattern B is 1. When Pattern A is
1, Pattern B is 4. So when Pattern A is
1, Pattern B is 4. Pattern B is on
the vertical axis. When Pattern A is
2, Pattern B is 7. When Pattern A is 3,
Pattern B is 10, so 3 in the horizontal direction. That's our Pattern A value. And our Pattern B value is 10. And then, finally, when Pattern
A is 4, Pattern B is 13. Now, let's just look
at these patterns. We see Pattern A is
increasing by 1 each time, while Pattern B is
increasing by it's-- well, Pattern A starts at
0 and increases by 1, while Pattern B starts
at 1 and increases by 3, which makes complete sense. It makes sense that it starts
at 1, because all of these, you multiply by 3 and add 1. So you start at 1. And then, the fact that
we're multiplying by 3, that's what's leading to the
distance between these points being 3. So let's check our answer to
make sure we got this right, and we did.