Friday, September 16, 2016

What's Going On? September 19th through September 23rd

Our First Summative Assessment!

This week Honors Geometry students will take our unit 1 summative assessment on the Basics of Geometry.  In order to prepare for this assessments, students should make sure that they Unit 1 Practice Test is complete by Monday's class.  If students have questions about the review, they can check out the answer key posted on BlackBoard.  Additionally, students created a class library of videos walking through each problem.  So, if a student is stuck on problem #19, they can view the problem #19 video.  The video links were posted on BlackBoard and are also accessible by clicking here.  During class on Monday we will go over questions and play a review game.  Our summative assessment will take place on Tuesday.  Students need to make sure that they have the necessary tools for the summative, including a compass, straight edge (ruler), and a calculator.


Unit 2: Reasoning and Proof

After our summative assessment, we will move on to our second unit: Reasoning and Proof.  During the last two class periods of the week, students will work with logical statements.  Students will work on writing logic statements and will examine if the statement is true or not.

For example, we might look at a conditional statement such as

"If I just ate a whole pint of ice cream, then I'm not hungry".  

Students will find that this original statement is true.  Students can also write a converse of the statement where the first and second part of the statement switch places.  The converse of this original statement would be "If I'm not hungry, then I just ate a whole pint of ice cream."  Students can list a whole bunch of other reasoning why someone is not hungry rather than just eating a pint of ice cream, so this statement would be considered false.

We will use this idea on our examination of logic statements to evaluate geometric definitions.  For example: 

"If a figure is a square, then it has four equal angles."

Students will learn how to examine statements like a mathematician in order to form logical arguments.  This unit will lay the foundation for our study of proof that will continue throughout the first semester.

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