Main content

## Get ready for Algebra 1

### Unit 4: Lesson 2

Patterns with variables- 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

© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice

# Graphing patterns on coordinate plane

CCSS.Math:

Sal completes a pattern using a table and then graphs the results on a coordinate plane. Created by Sal Khan.

## Want to join the conversation?

- how does he get the answer I don't understand!(17 votes)
- Because it almost like a cooridante plane. A is the x axis and B is the b axis think of it that way(7 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.(30 votes)

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

(┬┬﹏┬┬)(18 votes)- Were you even
**listening**to the video properly?(0 votes)

- what is the pattern B supposed to graph?(6 votes)
- if it is that bad then redo it over and over muilty(8 votes)

- how do you write the notes for home work(6 votes)
- how did you get the answer from the problem(5 votes)
- how do i add the patterns?(3 votes)
- I made something that might help

if you look carefully,you should be using brackets or parenthesis to separate the two parts of the question. Here's the problem and solution I made!(4 votes)

- how do u know all this stuff you must be very smart!(4 votes)
- i don't really understand that much maybe a more longer explanation would help me '_'(3 votes)
- ¿Cual es la importancia de un plano cartesiano?(3 votes)

## 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.