# Coordinates

## A self marking exercise on identifying and naming coordinates (Mid points in four quadrants).

##### Plotting Level 1 Level 2 Level 3 Level 4 Level 5 Level 6PictureHelpMore

Each square on the grid represents one unit. Type your answers without spaces but remembering the brackets and the comma like this (3,4)

The black lines are the axes and they cross at the origin.

 What are the coordinates of the point which is in the middle (midpoint) of the blue points? What are the coordinates of the point which is in the middle (midpoint) of the red points? What are the coordinates of the point which is in the middle (midpoint) of the lime points? What are the coordinates of the point which is in the middle (midpoint) of the yellow points? What are the coordinates of the point which is in the middle (midpoint) of the orange points? What are the coordinates of the point which is in the middle (midpoint) of the brown points? What are the coordinates of the point which is in the middle (midpoint) of the maroon points? What are the coordinates of the point which is in the middle (midpoint) of the purple points? What are the coordinates of the point which is in the middle (midpoint) of the green points? What are the coordinates of the point which is in the middle (midpoint) of the pink points?

## Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

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Max, Australia

Tuesday, August 8, 2017

"I would just like to point out that in your section called "First Quadrant", which you advertised that it had questions that consisted of questions from the first quadrant, had questions that involved coordinates that were placed on the axis, which are not technically in the first quadrant. The class got very annoyed and would appreciate you changing this. Thank you."

Transum,

Tuesday, August 8, 2017

"Thanks for your observation Max. If the first quadrant is the region where both the x and y coordinates are positive then any point on either of the axes should not be included as zero is not a positive number. You are absolutely right.

Having realised that I would like to suggest that the inclusion of points on the axes makes the exercise slightly more challenging and worthwhile. I hope you'll agree.

Now Levels 1 and 2 are purely first quadrant without zeros and Level 3 contains zeros and fractional coordinates.

Transum,

Monday, December 10, 2018

"Some people have trouble remembering what the two numbers in a set of coordinates represent. They could be thought of as the route to the point from the origin. The first number is the x-coordinate and tells you how many units you go across to the right (negative numbers move you to the left). The second number tells you how many to move up (negative numbers move you down).

The following saying helps you remember the order of the coordinates:

Along the corridor then up the stairs. "

Greg, Wales

Monday, August 26, 2019

"Excellent resource, I use it all of the time! The only problem is that there is too much good stuff here!!"

AJ, UAE

Sunday, March 10, 2024

"Why do we need to write (5,6) instead of 56?

[Transum: Using this format helps distinguish between the two distinct values that define a point's location in space. If we were to write 56 instead of (5,6), it would not only contradict standard mathematical notation but could also lead to confusion, as 56 could be interpreted as a single number rather than a pair of coordinates.] "

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