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### Course: 5th grade > Unit 13

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
- Extend patterns
- Relationships between 2 patterns
- Algebraic thinking: FAQ

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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!(29 votes)
- Because it almost like a cooridante plane. A is the x axis and B is the b axis think of it that way(17 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.(46 votes)

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

(┬┬﹏┬┬)(23 votes) - I think I get the KHANcept!(6 votes)
- how do you write the notes for home work(3 votes)
- How to Write Effective Homework Notes

Effective homework notes are a key to success. They help you stay organized, understand the material, and prepare for tests. Here are some tips:

Organization is Key

Dedicated Notebook: Use a separate notebook for each subject or a single notebook with divided sections.

Clear Heading: Write the subject, date, and assignment clearly at the top of each page.

Concise Information: Write down only the essential details.

Effective Note-Taking

Understand the Assignment: Clearly understand the requirements and due date before starting.

Key Points: Write down important concepts, formulas, or steps.

Examples: Include examples to illustrate the concepts.

Questions: Note any questions you have for clarification.

Review and Refine

Regular Review: Review your notes regularly to reinforce learning.

Add Information: Add any additional information or corrections as needed.

Summarize: Create summaries or outlines to condense information.

Additional Tips:

Use a Consistent Format: Develop a note-taking style that works for you.

Highlight Important Information: Use highlighters or underlining to emphasize key points.

Diagrams and Drawings: Use visuals to aid understanding.

Digital Notes: Consider using note-taking apps or software.

Example:

Subject: Math

Date: October 15, 2023

Assignment: Solve equations with variables on both sides.

Steps:

Simplify each side of the equation.

Collect variable terms on one side and constant terms on the other.

Solve for the variable.

Example: 2x + 5 = 3x - 2

Remember: The goal is to create a study resource that is easy to understand and use. Experiment with different methods to find what works best for you.(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! 😄(5 votes)

- I’m not sure this is on pre-algebra. Isn’t this in a different course?(1 vote)
- Hi hypatiaschoser so this for 9th grade get ready for Algebra 1 so basically whatever grade u in I think u have a different course for whatever your teacher put u in. But to answer your question, this is not pre-algebra (I think).(2 votes)

- Exponential form 100×100(1 vote)
- on a coordinate plane, does x axis go first or y axis?(1 vote)
- What does the pattern of the points? Do you add, subtract, multiply,divide?(1 vote)
- At2:19Sal says that you multiply by 3 and add 1.(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.