Transum Maths Software

Coordinates

There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Coordinates. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

Main Page

Coordinates Starters:

Graph Picture: Plot the given coordinates then join them up to form a picture.

Middle of Centres: The blue point is exactly in the middle of two red points. What are their coordinates?

Refreshing Revision: It is called Refreshing Revision because every time you refresh the page you get different revision questions.

Two Twins and Tim: A tricky problem set on a coordinate grid.

 

Small images of these Starters ::  Index of Starters


Coordinates Advanced Starters:

Coordinate Distance: Find k given that(-2,k) is 13 units away from (10,9)

Index of Advanced Starters


Suggested

Coordinate Plotter

Coordinate Plotter

Drag the given points so that they are in the correct positions according to their coordinates.

The short web address is:

Transum.org/go/?to=coordplot

 

Curriculum for Coordinates:

Year 6

Pupils should be taught to describe positions on the full coordinate grid (all four quadrants) more...

Years 7 to 9

Pupils should be taught to work with coordinates in all four quadrants more...

Years 12 and 13

Pupils should be taught to understand and use the coordinate geometry of the circle including using the equation of a circle in the form (x – a)2 + (y – b)2 = r2 Completing the square to find the centre and radius of a circle; use of the following properties: the angle in a semicircle is a right angle, the perpendicular from the centre to a chord bisects the chord, the radius of a circle at a given point on its circumference is perpendicular to the tangent to the circle at that point more...

Exam-Style Questions:

There are almost a thousand exam-style questions unique to the Transum website.

Feedback:

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"It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages."

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"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."

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"3 NQTs in the department, I'm new subject leader in this new academy - Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!"

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"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

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To the creator of this website and all of those teachers who have contributed to it, I would like to say a big THANK YOU!!! :)."

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I rate this site as a 5!"

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"My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions."

Comment recorded on the s /Coordinate 'Starter of the Day' page by Greg, Wales:

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

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Notes:

It is important that pupils become proficient at understanding coordinates at a basic level before using them in their study of graphs. Plotting points and finding the coordinates of points are the pre-requisite skills for studying a number of branches of mathematics.

The Cartesian plane consists of a horizontal x-axis and a vertical y-axis that intersect at the origin (0, 0). The mathematician René Descartes developed the concept of the Cartesian plane while lying in bed one morning and observing a fly on the ceiling!

Pupils should learn the conventions starting with knowing that the horizontal axis is the x-axis and the vertical axis is the y-axis (remember x is a cross so the x axis is across!). The axes meet at the origin which has coordinates (0,0).

Coordinates are written as two numbers separated by a comma and contained inside brackets. For example (3,9) means the point is above 3 on the x-axis and level with 9 on the y-axis. To get to this point from origin you go along 3 and up 9 (remember to go along the hall before going up the stairs or that pole vaulter has to run along before leaping up into the air!).

Coordinates can be positive or negative (remember points to the right of the origin have a positive x-coordinate – being positive is right!).

The abscissa often refers to the horizontal coordinate of a point and the ordinate refers to the vertical coordinate.

In three dimensions, three perpendicular lines are defined as the axes and the coordinates of each point is defined with three numbers.

Coordinates Teacher Resources:

Graph Paper: Flexible graph paper which can be printed or projected onto a white board as an effective visual aid.

Coordinates Activities:

Coordinate Plotter: Drag the given points so that they are in the correct positions according to their coordinates.

Coordinates Picture: Plot the coordinates and join them with straight lines to produce a picture.

Coordinates: A self marking exercise on identifying coordinates culminating in finding the mid point of two given points.

Plotting Graphs: Complete a table of values then plot the corresponding points to create a graph.

Deconstructing Graphs: Fill in the tables of values from the information that can be read from the given graphs.

Transformations: Draw transformations online and have them instantly checked. Includes reflections, translations, rotations and enlargements.

Where's Wallaby?: Find the hidden wallaby using the clues revealed at the chosen coordinates.

Coordinate Geometry Table: Fill in the empty cells of this table with information about lines, gradients and coordinates.

Alternatively, for the more advanced student, there is an ever-growing collection of Exam-Style Questions with worked solutions on the topic of Coordinate Geometry.

Coordinates Videos:

Coordinates video
Transum's Coordinates Video


Coordinates Video: For those who would like a reminder about coordinates here it is. This video is to help you do the online, self-marking exercises

Opposites: About the Japanese street grid system and other opposites.

Coordinates Worksheets/Printables:

Graph Picture Axes: Four sets of axes and coordinates from which reflecting pictures can be drawn.

Coordinates External Links:

Links to other websites containing resources for Coordinates are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below:

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Suggested

Coordinate Geometry Table

Coordinate Geometry Table

Fill in the empty cells of this table with information about lines, gradients and coordinates.

The short web address is:

Transum.org/go/?to=cgt

 

Teaching Notes:

Many Transum activities have notes for teachers suggesting teaching methods and highlighting common misconceptions. There are also solutions to puzzles, exercises and activities available on the web pages when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.

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