^

# Numerical patterns in the coordinate grid (5th grade math)

This is an introduction to graphing points in the coordinate grid that follow a simple numerical pattern. The patterns we look at all form a linear geometric pattern in the grid (the points look like on a line). The patterns in this lesson are either given algebraically (such as y = 12 − 2x), or we first continue the existing pattern in the given ordered pairs, and then write the rule in algebraic form (such as y = 2x or x + y = 10).

The lesson ties in with the common core standard 5.OA.3 and covers most of it, though not completely. The second video on this page then goes further, covering the rest.

In the second video lesson, we look at two numerical (linear) patterns created by adding or subtracting the same number (the rule), and their graphs in the coordinate grid. For example, if we add 1 to the x-coordinate and add 2 to the y-coordinate, and plot the points, the resulting graph looks like dots on a LINE — thus the name "linear" pattern. In algebraic terms, in this case, y = 2x, or every y-coordinate is double the x-coordinate.

If we subtract the same amount from the y-coordinate each time, (and add some same amount to the x), we get a descending line.

Then, I show some linear patterns of dots in the coordinate plane, and the task is to figure out the NUMERICAL patterns for the coordinates. It turns out, we can also visualize the rule for the patterns. For example, if the rule for x is "add 3" and the rule for y is "add 2", we can draw a staircase, just like when determining a slope of a line... the run is 3 units and the rise is 2 units.

This video connects with the Common Core Standard 5.OA.3, which has to do with two numerical patterns, given using two given rules, one for the x-values and the other for y-values.

Back to 5th grade videos index

Back to the index of all videos

WAIT!

Receive my monthly collection of math tips & resources directly in your inbox — and get a FREE Math Mammoth book!  You can unsubscribe at any time.

### Math Mammoth Tour

Confused about the different options? Take a virtual email tour around Math Mammoth! You'll receive:

An initial email to download your GIFT of over 400 free worksheets and sample pages from my books. Six other "TOURSTOP" emails that explain the important things and commonly asked questions concerning Math Mammoth curriculum. (Find out the differences between all these different-colored series!)

This way, you'll have time to digest the information over one or two weeks, plus an opportunity to ask me personally about the curriculum.
A monthly collection of math teaching tips & Math Mammoth updates (unsubscribe any time) ### "Mini" Math Teaching Course

This is a little "virtual" 2-week course, where you will receive emails on important topics on teaching math, including:

- How to help a student who is behind
- Troubles with word problems
- Teaching multiplication tables
- Why fractions are so difficult
- The value of mistakes
- Should you use timed tests
- And more!

A GIFT of over 400 free worksheets and sample pages from my books right in the very beginning. A monthly collection of math teaching tips & Math Mammoth updates (unsubscribe any time)
Enter your email to receive math teaching tips, resources, Math Mammoth news & sales, humor, and more! I tend to send out these tips about once monthly, near the beginning of the month, but occasionally you may hear from me twice per month (and sometimes less often). • A GIFT of over 400 free worksheets and sample pages from my books. 