Transformation Getting Prepped For Assessment

The Core Preparation...
This standard is really about being able to produce clearly three transformations that describe a picture.  To do this you must...

1. Use the right works (reflect, rotate, enlarge, translate). 
2. Include all the right elements.  For reflection its about mirror lines.  For rotation its about direction/degrees/centre of rotation.  For enlargement it is about scale factor (k) and centre of enlargement.  For translation it is about shifting my a vector run on top of rise.
3. Have a really clear drawing with identification of the things that you've done. 
4. Have really clear sentence instructions... "first do this, then do that...".

Here is a web address that has five actual assessments (scroll down to 1.9).
http://ncea.tki.org.nz/Resources-for-Internally-Assessed-Achievement-Standards/Mathematics-and-statistics/Level-1-Mathematics-and-statistics

As a group we're going to have a look at the one called "Geometric Gardens".  Remember that you'll need to have access to a protractor, compass, ruler, pencil and rubber. 

Transformation Post 6

Enlargement
This transformation is exactly what it sounds like.  It is when we enlarge the object. 

I always think of enlargement transformations a bit like a shadow puppet.  There are there three things in play... 
There must be an object (in this case the hands). 
There must be an image (the shadow), and,
Finally there must be a source of light (we call this the centre of enlargement). 

The mathematics here is the idea of a scale factor (how many times as big the image will be that the object).  In this deer picture the shadow is about 1.5 times the size of the hands... this means there is a scale factor of 1.5. 

In ncea level one we use the symbol k for scale factor.  So the deer shadow would be an enlargement k = 1.5. 

 

Note that there is a possibility of a fraction enlargement (which makes it smaller).  That is when k is a fraction.  You won't need this for Achieve.