Monday, October 31, 2016

What's Going On? October 31st through November 4th

Unit 4: Triangle Congruence

Last week, students studied properties that exist within triangles.  We talked about isosceles triangles, midsegments of triangles, the triangle inequality theorem and the side-angle theorem.



This week students will continue our study of triangle congruence.  On the first day of the week, students will participate in a review of important concepts and complete a formative assessment to make sure that we're on the right track with our knowledge and to clear up any misconceptions.

Later on in the week, students will explore triangle congruence shortcuts.  


In order to say that we know that two polygons are congruent, we need to be able to say that all of their corresponding sides are congruent and all of their corresponding angles are congruent.  However, some shortcuts do exist if we are dealing with triangles.

During class this week, students will "discover" some triangle congruence shortcuts.  We will then be able to apply this knowledge to formally prove that two triangles are congruent using a two-column proof.  



Monday, October 24, 2016

What's Going On? October 24th through October 26th

Unit 4: Triangle Congruence

During this short week, Honors Geometry students will begin our fourth unit of study on triangle congruence.  During our three days of class, we will talk about the properties of isosceles triangles, the midsegments of triangles, and triangle inequality.  Students will learn about different properties associated with triangles and will learn how to solve for missing measurements.  This will lay the groundwork for our work on proving that we know two triangles are congruent in the following week.


Friday, October 14, 2016

What's Going On? October 17th through October 21st

Finishing Up Unit 3: Properties of Parallel Lines

This week students will be finishing up our study on the properties of parallel lines.  We will spend Monday's class reviewing how to write the equation of a line and two column proofs.  We will be working with the Google Slides app during class, so please make sure that this is downloaded from the app store or from "Self Service".

On Tuesday, we will take a look at spherical geometry.  We have been talking about Euclidean geometry so far in class (and will continue this throughout the rest of the year), but on Tuesday we will take a moment to talk about spherical geometry.  Students: prepare to have your MINDS BLOWN!

We know that in Euclidean Geometry, parallel lines are lines in the same plane that will never intersect.  When we take a look at spherical geometry, ALL LINES INTERSECT!  


Image result for spherical geometry parallel lines


For our study of spherical geometry, we will be drawing on balloons.  This makes it much easier to visualized 3D concepts.  



We will finish up our week with a review and our unit 3 summative assessment.  This assessment will cover two major targets: properties of parallel lines and writing linear equations.  


A Note About Unit 2 Summative Retakes

This week is the last week students can take advantage of a unit 2 summative retake (by Thursday).  In order to be eligible for a test retake, students must have completed all formative work (check Infinite Campus), must make corrections on the original assessment, and complete the extra practice.  Students must notify Mrs. Kamenar about when they would like to come in to make corrections (before school, during lunch or after school on Tuesday or Thursday in Homework Club), e-mail Mrs. Kamenar about which section(s) of the test they would like to retake, and make an appointment for the retake.  Please DO NOT try to accomplish all of these tasks in one day!

Sunday, October 9, 2016

What's Going On? October 10th through October 14th

Parallel Lines

Last week we started our third unit on parallel lines.  We talked about the special relationships that exist between angles that are created by two parallel lines cut by a transversal.  

Image result for properties of parallel lines

This week we will start off the week by reviewing the vocabulary learned last week by completing a set of station activities.  Students will engage with the vocabulary and identify relationships between angles.  Later on in the week we will talk about how we can prove that lines are parallel based on angle relationships.  We will apply our knowledge while we complete two-column proofs.



Students should be prepared to see a couple of formative check-ins this week so that we can make sure that we clear up any misconceptions before our next summative.