Ideas for Extension 
The following ideas for extending this topic require the full version of Autograph. 

Idea 1 – Vectors and Translations on Autograph 
Download 1. two types of vectors.agg 

There are two main ways of using vectors in 2D on Autograph. The one you choose will be dependent on the task you are doing. 

Method 1 – Vector Defined from a point 

• 
The red object has been translated by the red vector to give the green image. 
• 
You can drag the foot of the vector so that it lies on one of the vertices of the red object to show the translation. 
• 
Doubleclick on the vector to change it. 
• 
You can even change the vector to and use the constant controller to change the vector. 


Method 2 – Vector Defined from two points 

• 
The blue object has been translated by the blue vector to give the orange image. 
• 
You can drag either end of the vector around to see the effect it has on the image itself. 


Experiment with both of these methods. Instructions how to create them can be found in the video below. 
Idea 2 – Vector Man 
Download 2. vector man.agg 

Vector man has unfortunately got himself into a bit of a muddle. 

• 
Can your students drag the points to create vectors to put him back together again? 
• 
Scribble down the description of the vector next to each one. 
• 
How would these vectors change if you wanted Vector Man to be upside down? (use Drag to see more of the screen if you need). 
• 
Encourage your students to create similar puzzles using vectors on Autograph 

Idea 3 – Vector Flight Path 
Download 3. vector flight path.agg 

Can you guide the spaceship to safety without touching the sides? 

• 
Leftclick on an unoccupied part of the page to make sure no objects are selected 
• 
Leftclick to select the current position of your point. Leftclick on the vector (or vectors) of your choice – the one(s) you select should turn black. 
• 
Rightclick and choose either:
Copy Vector if you have just selected one vector and you want to travel along it
Negative Vector if you have selected just one vector and you want to travel along the negative of it
Multiply Vector if you have selected just one vector and you want to travel along a multiple of it (either positive or negative)
Add Vectors if you have selected more than one vector and you want to add them together
Subtract Vectors if you have selected more than one vector and you want to subtract them
Note: When subtracting vectors, the order which you select the vectors is very important. The second vector you select will be subtracted from the first. 
• 
Who can get to safety using the fewest number of vectors? 
• 
Encourage your students to create similar puzzles using vectors on Autograph 

Idea 4 – Vector Golf in 3D! 
Download 4. vector golf 3d.agg 

What’s better than 2D Vector Golf? 3D Vector Golf, of course! 

• 
Your ball is the point at (−4, −3, −2), and the hole is the centre of black cube at (4, 0, 3) 
• 
There are plenty of obstacles in your way, which you are not allowed to hit 
• 
Using the same techniques as described in Extension 3, can you get the ball into the hole? 
• 
What is the fewest number of shots you need? 
• 
Challenge your students to design some nightmare 3D golf holes! 
