Coordinate Systems

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Math books

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Embed - Coordinate Systems and Ordered Pairs Introduction

Click the link icon to the right to watch Miss Velichka review all of the content thus far and explain the importance of knowing which axis is your x-axis and which axis is your y-axis!

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Chapter 3: Plotting Points in the First Quadrant

If given an ordered pair for a point in the first quadrant, how would you plot the point? Let's ask Mario! "First run, then jump!" In the example to the right, we are given the ordered pair (8,7). The x-coordinate is 8. Mario runs 8 units to the right from the origin. It is important to always start at the origin. The y-coordinate is 7. Mario jumps up 7 units. To mark your point, draw a dot (I used a coin) and label the point with the ordered pair. If given a point name (say, Point M) you could instead label the point with an M.

<a href="https://www.mathplanet.com/education/algebra-1/visualizing-linear-functions/the-coordinate-plane">https://www.mathplanet.com/education/algebra-1/visualizing-linear-functions/the-coordinate-plane</a> <a href="http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U13_L1_T1_text_final.html">http://www.montereyinstitute.org/courses/</a> <a href="http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U13_L1_T1_text_final.html">DevelopmentalMath/COURSE_TEXT2_</a> <a href="http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U13_L1_T1_text_final.html">RESOURCE/U13_L1_T1_text_final.html</a> <a href="https://www.youtube.com/watch?v=d6vhjpnfd3c">https://www.youtube.com/watch?v=d6vhjpnfd3c</a> For practice problems, check out section U on <a href="https://www.ixl.com/math/grade-5">https://www.ixl.com/math/grade-5</a> (click the link on the picture below). You can do 10 free problems every day, no account required!

IXL | Learn 5th grade math

Chapter 1: Introduction to the Coordinate System

The point, or location in space, where the axes meet is called the origin. Both the x and y values at this point are 0. In the next chapter, we will discuss how to write the coordinates of a point. The coordinate plane can be divided into four quadrants, as pictured to the right. We will begin working on writing ordered pairs and graphing points in the first quadrant in chapters 2 and 3.

Chapter 1: Chapter 2: Chapter 3: Resources

Chapter 2 features a video by Miss V.! Find me, Mario, in Chapter 3!

Coordinate Plane and Ordered Pairs Song | 1st Quadrant

Listen to this catchy song for a review of all of the important skills and concepts from the entire book!

To write an ordered pair for a point in quadrant 1, first travel across the x-axis to the right until you make it to the line where the point is at. Then, travel up the until you touch the point. Look at the y-axis to find the y-coordinate of your point. Write the coordinates in this x then y order, separated by a comma and inside of parenthesis. What is the ordered pair for Point A? Check your answer at the bottom of the page.

Large grid paper

Navigating the World of Coordinate Systems

Helpful hint! To remember which axis is which, try using one of the following clues about the y-axis: The y-axis goes up and down like a yo-yo OR State the phrase "Y to the sky!"

An ordered pair is a pair of numbers used to state the location of a point on a plane. Ordered pairs are written in the format (x,y). The x-coordinate, or the location of the point in relation to the x-axis, comes first within the parentheses. The y-coordinate, or the location of the point in relation to the y-axis, is written after the x-coordinate and a comma. The ordered pair for the origin would be (0,0).

The coordinate system is a system of numbers used for describing the location of points on a coordinate plane, or a flat (2D) surface. The coordinate system is formed by two intersecting, perpendicular number lines. These number lines are called axes. The horizontal axis is called the x-axis. The vertical axis is called the y-axis.

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