The last six weeks of geometry will focus on similarity, dilatation, indirect measurement, similarity transformation proofs, and circles:
We will start with a review of real world ratio and proportion practice, interactive notes page & review, possible including activities such as New York Minute (NCTM Illuminations).
We will then head into applying the properties of proportion to geometric figures in discovering and defining similarity as described in the investigation activities in Discovering Geometry.We will complete an interactive notes page and practice. We will use similarity to measure tall objects using a mirror and measuring tape with indirect measurement. It is also an excuse to get outside, since it is getting warmer out and we are all developing cabin fever.
I am very excited to try to channel my inner Fawn by spending 2 days on Letting Them Own the Problem applying similar triangle properties.
We will explore & discover properties of dilatation’s with the Flip Family (page 13 of this pdf), followed by an interactive notes page and practice. I am just going to have to create a Dilatation Station Rotation because that has a fun name (and students will need some practice).
The scariest part for me will be attempting to teach similarity proofs through transformations as describes by Kate Nowak here. Hopefully, at the least we will all learn something.
Next we will discover & apply the relationship between similarity and proportions with area and volume through discovery activities, interactive notes and this little gem.
Then we are on to a short excursion into circles. We will begin with developing an understanding of radian measure, followed by a 3 act lesson by Mr Stadel. I plan to dedicate a few days on the Math Assessment Project’s Sector of Circles lesson. We will also do the 3 act lesson be Dan Meyer: Lucky Cow.
I plan to end the school year with a Modeling project adapted for my students to be more self directed: rolling cups.