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:

Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

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"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:

"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"

Comment recorded on the 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College:

"Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities.
Thanks for such a great resource!"

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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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"A set of real life savers!!
Keep it up and thank you!"

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

Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"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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"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

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"I would like to thank you for the excellent resources which I used every day. My students would often turn up early to tackle the starter of the day as there were stamps for the first 5 finishers. We also had a lot of fun with the fun maths. All in all your resources provoked discussion and the students had a lot of fun."

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"I think these are great! So useful and handy, the children love them.
Could we have some on angles too please?"

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"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

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Comment recorded on the 3 October 'Starter of the Day' page by Mrs Johnstone, 7Je:

"I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson."

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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"What a brilliant website. We have just started to use the 'starter-of-the-day' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources on-line we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun."

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I rate this site as a 5!"

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Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School:

"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."

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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