This document provides instructions for using computer and iPad applications to perform geometric transformations including translations, rotations, reflections, and coloring of shapes. It describes how to select shapes, copy and paste them, slide them to form tessellations, flip them vertically, rotate them 180 degrees, and change their colors. Hints are provided like holding shift to select multiple shapes at once and using the arrow keys or swiping to nudge shapes in small increments. Examples of tessellations by the artist M.C. Escher are also referenced.
7. Lines of symmetry and rotation
Click on Grade/Year Six and then 2D shapes
Rainforest Maths
8.
9. Computer
Choose a shape
Press Command D
Slide (translate) the
shape to the right
Repeat
iPad
Tap on the +
Choose a shape
Tap on the shape, choose Copy
Tap and hold and choose Paste
Slide (translate) the shape to the right
Repeat
10. Computer
Click on first shape
Go to Arrange – Flip Vertically
Move into place
Duplicate and translate
iPad
Click on first shape
With two fingers, pinch and rotate the
shape 180 degrees
Move into place
Copy and Paste
11. Computer
iPad
Tap on a shape
Tap on the Paint Brush, Style and
Select a colour
Copy and paste and translate
Change colours of other shapes
Click on a shape
Click on the Fill button and select a colour
Duplicate and translate
Change colours of other shapes
Hint: Shift click
multiple shapes
to colour all at
once
12. Computer
iPad
Click on a shape, press Command A to
select all
Go to Arrange –Group
Press Command D to duplicate and then
translate the shapes so that they fit
together
Tap on a shape and hold, tap on all of the other
shapes to select all
When all selected, let go and tap one, tap Copy
and then tap on the page and select Paste
Translate the shapes so that they fit together
13. Computer
iPad Tricks
Select all objects
Hold your Shift key down and click multiple shapes select all at once
Nudge an object
Select the object
Press and hold the Command key and tap the arrow keys to nudge object
Match the sizes of two objects
Match the sizes of any two objects on the screen by tapping on a selection handle on the
object you want to resize, and then tapping and holding the object you want to match
with another finger. When the words “Match Size” appear on the screen, lift your finger
from the resized object first.
Nudge an object
Tap and hold with one finger the shape you want to nudge, swipe with another finger
and it will move in small increments. Try swiping with 2 and 3 fingers for larger
increments
14. The following tessellations are all examples from M.C.Escher
http://en.wikipedia.org/wiki/M._C._Escher
http://www.mcescher.com/Gallery/gallery-symmetry.htm