Coordinate Codes

Introduction

What mathematical way can they think of to describe exactly where a point is? Use the mathematical system you have devised to guess where the Wallaby is.

Coordinate Codes

Go through the three tasks on this worksheet (PRINT ME).

Part 1 - Writing & Deciphering Coded Messages

Write down the word that each coordinate code spells out.

(-6,-6) (3,-2) (-2,-8) (1,5) (7,4) (-6,-10)
(1,9) (-6,-10) (0,4) (-1,3) (-7,-6) (7,4) (-6,-6)
(5,0) (-7,-6) (0,4) (8,4) (-6,-10) (3, 10) (-6,-6)
(9,-5) (3,10) (-1,3) (0,-7) (1,5) (-10,3) (-7,-6) (7,4) (1,5) (-6,-6)
(-2,-5) (-8,0) (1,9) (-8,0) (-2,-5) (-8,0) (-8,5) (-10,3)

Write down the coordinate code that spells these words

RECTANGLE
TRAPEZIUM
SIXTY
REFLECTION
AMAZING MATHS

Now make up your own word or phrase and write down the coordinates that would it spell out.
- See if your friends can work out what your message says.

Part 2 - Letters and Lines

The letter A lies on the line 𝑥 = 1.

Look at the coordinate axes above and try to explain why this is true.
Which other letter lies on the line 𝑥 = 1?
Which letters lie on the line 𝑥 = 5?
Which letters lie on the line 𝑥 = −8?

The letter W lies on the line 𝑦 = 8.

Which letters lie on the line 𝑦 = 5?
Which letters lie on the line 𝑦 = −5?

Write down the equation of the line that passes through the letters:

L and Z.
O and S
I and N
Y and Q
G and T

Only one letter lies on the line 𝑦 = 𝑥. Which letter is this? Explain how you know.
Only one letter lies on the line 𝑥 + 𝑦 = 10. Which letter is this? Explain how you know.
Which letters lie on these lines? Each time explain how you know.

𝑥 + 𝑦 = 6
𝑥 + 𝑦 = 11
𝑦 − 𝑥 = 5
𝑥 − 𝑦 = 4
𝑦 − 𝑥 = 7

Three letters lie on the line 𝑦 = 𝑥 + 4. Which letters are they? Explain why.
Write down as many different equations of lines as you can that the point R

lies on?

Part 3 - Sloping Lines

Draw a set of axes.
- The 𝑥 axes should go from 0 to 8 and the 𝑦 axes from 0 to 8.
Use the clues below to plot the letters in the correct place.
- Point A lies on the line 𝑥 = 3 and 𝑦 = 2
- Point B lies on the line 𝑥 = 1 and 𝑦 = 5
- Point C has an 𝑥 coordinate of 1 and lies on the line 𝑥 + 𝑦 = 3
- Point D has a 𝑦 coordinate of 4 and lies on the line 𝑥 + 𝑦 = 9
- Point E lies on the line 𝑦 = 3 and 𝑦 − 𝑥 = 1
- Point F lies on the line 𝑥 = 6 and 𝑦 = 𝑥
- Point G lies on the line 𝑦 = 𝑥 and 𝑥 + 𝑦 =8
- Point H lies on the line 𝑦 − 𝑥 = 2 and 𝑥 + 𝑦 = 6
Draw yourself a set of axes and mark some letters at different points on the axes.
Make up some clues so that someone else could try to work out where your points were if you rubbed them all out.
- Pass your clues to you friends and see if they can solve them correctly.

If you have understood today's lesson, you should be able to do the following questions:

Coordinate Codes.pptx

Further Practice

Some of the essential skills introduced in this lesson are "coordinates" and "plotting straight line graphs". The relevant skills can be found on DrFrostMaths, CorbettMaths, MyiMaths and Eedi. Watch any video and/or go through any online lesson as you see fit.

Transum

Coordinate Plotter - try this self-marked exercise. Drag the given points so that they are in the correct positions according to their coordinates. There are altogether 4 levels.
Coordinates - a self marking exercise on identifying coordinates culminating in finding the mid point of two given points. There are altogether 5 levels.
Coordinates Picture - plot the coordinates and join them with straight lines to produce a picture.
Deconstructing Graphs - fill in the tables of values from the information that can be read from the given graphs.
Plotting Graphs - complete a table of values then plot the corresponding points to create a graph.
Where's Wallaby? - find the hidden wallaby using the clues revealed at the chosen coordinates.

For more goodies on coordinates on transum, click on the hyperlink.

Extension

Try this Coordinate Challenge on nRich. For something more challenging, look at Ten Hidden Squares. And for something more related to today's lesson try Coordinate Patterns. Finally, for other coordinates related challenges on nRich, click here.