Geometry

Course Description

While “geometry” is often described as the mathematics behind shapes, that scarcely begins to describe this immense, fascinating subject. Geometry is, in fact, how surfaces and points interact. It is the fractals of a forming snowflake, the symmetry of a leaf against the asymmetry of a sunflower, and the movements of the moon and stars across the sky. Everything from the planet orbits down to atomic forces is somehow connected to geometry. In this class, we won’t study the world’s shapes; we will examine what gives shape to the world.

In this class, we will learn how to: solve problems involving angles, congruency, and perpendicular lines; learn to rotate, reflect, translate, and dilate shapes both on paper and algebraically (and occasionally in the real world); use slopes to discover the types of circle centers and how to find them; break down seemingly complex problems using trigonometry; graph circles and other unusual shapes; and investigate architecture and science using all of the above.

Posts

Weekly Update April 05

Welcome back to another week of Geometry! Here’s what to expect:

Classes: Monday/Wednesday

     Cohort A: 1:00 PM – 1:50 PM

     Cohort B: 12:10 PM – 1:00 PM

Zoom ID: See Outlook Calendar invite

*as always, please see Teams for the password.

Weekly Objectives

  1. We will learn strategies for managing stress and continue prepping for the PSAT.

New Assignments (Due 04/12 by 8:00 AM)

  1. If In-Person: Participate in activities for test anxiety and test prep. If Online: Send me your answers and score for the practice test we take during the week.

Late Assignments (10% off after 04/07 at 8:00 AM)

  1. Abstract Geometry Reflection Prompt (Teams: Assignments)

Schedule Tips

  1. This class takes place on Monday and Wednesday. Use Tuesday, Thursday, and Friday to complete assignments.

Remote Week March 15th

Welcome back to Geometry! This week, there are no live lessons. You have one recorded lesson to watch and one assignment to complete. All HS teachers are unavailable from March 15th through March 17th, and we will begin replying to emails on March 18th.

Objective: Students can work with large and small numbers using scientific notation. They can also use scientific notation to convert between metric units.

Video: The video can be found on Microsoft Teams. Go to the “Geometry” team and click the “Videos” tab at the top (you may need to click the down arrow for more options). Once there, scroll until you find the lesson for March 15th.

Assignment: You have one assignment for this week: Scientific Notation. It is due in one week.

March 15th through March 17th will be Remote/Asynchronous Learning

Please read the following update from Sharon Collins. It was also sent out from Westgate through email.

Dear HS Families,

In keeping with timely communications and consideration for minimizing academic disruption, we need to let our HS families know that Westgate will be conducting asynchronous learning through Microsoft Teams on March 15, 16 and 17.  Conferences are still scheduled for March 18 and 19.  

This decision was not made lightly but is necessary for teachers and staff to get their second COVID vaccination and allow for anticipated teacher and staff absences.

Due to a shortage of substitute teachers and inability to guarantee classroom coverage, we could not be certain of our ability to offer live instruction for that week.  Preplanning for asynchronous learning gives us all the opportunity to minimize academic disruption to families and students. 

Teachers have begun planning for the asynchronous learning that will occur and will have lessons prepared ahead of time. 

If your student receives special education services, the learning specialist will email you information about services during asynchronous learning.

Teachers will not be available Monday, March 15tthru Wednesday, March 17.  They will be available for conferences on March 18 and 19.  

Please reach out to your student’s advocate or the HS assistant principal, Ms. Amanda Novak, if you have any questions or comments prior to March 15.

We recognize that a week of asynchronous learning will be inconvenient for some families, but we know that providing timely information and planning time is most helpful.

Sincerely,
Sharon Collins

Weekly Update March 8th

Welcome back to another week of Geometry! Here’s what to expect:

Classes: Monday/Wednesday

     Cohort A: 1:00 PM – 1:50 PM

     Cohort B: 12:10 PM – 1:00 PM

Zoom ID: See Outlook Calendar invite

*as always, please see Teams for the password.

Weekly Objectives

  1. Students can solve for volumes, areas, and surface areas in the world around them. They can use this information to consider why shapes are the way thay are, both man-made and naturally.

New Assignments (Due 03/15 at 8:00 AM)

  1. Volumes 1 (Teams: Assignments)

Late Assignments (10% off after 03/08 at 8:00 AM)

  1. Farm Problems 1 & 2 (completed in class or by watching the asynchronous videos) (Teams: Assignments)

Schedule Tips

  1. This class takes place on Monday and Wednesday. Use Tuesday, Thursday, and Friday to complete assignments.

Weekly Update February 22nd

Welcome back to another week of Geometry! Here’s what to expect:

Classes: Monday/Wednesday

     Cohort A: 1:00 PM – 1:50 PM

     Cohort B: 12:10 PM – 1:00 PM

Zoom ID: See Outlook Calendar invite

*as always, please see Teams for the password.

Weekly Objectives

  1. Students can use their knowledge of areas and volumes of standard shapes in order to determine the areas and volumes of complex shapes.
  1. Students will create methods to find unknown areas and volumes.

New Assignments (Due 02/29 at 8:00 AM)

  1. Volumes 1 (Teams: Assignments)

Late Assignments (10% off after 02/22 at 8:00 AM)

  1. Circles, Sectors, and Arcs Review (Teams: Assignments)

Schedule Tips

  1. This class takes place on Monday and Wednesday. Use Tuesday, Thursday, and Friday to complete assignments.

Weekly Update February 8th

Welcome back to another week of Geometry! Here’s what to expect:

Classes: Monday/Wednesday

     Cohort A: 1:00 PM – 1:50 PM

     Cohort B: 12:10 PM – 1:00 PM

Zoom ID: See Outlook Calendar invite

*as always, please see Teams for the password.

Weekly Objectives

  1. Students can use their knowledge of areas and volumes of standard shapes in order to determine the areas and volumes of complex shapes.
  1. Students will create methods to find unknown areas and

New Assignments (Due 02/15 at 8:00 AM)

  1. Areas and Volumes 1 (Teams: Assignments)

Late Assignments (10% off after 02/08 at 8:00 AM)

  1. Arc Length and Sector Area: Applications (Skateboarding and Cake problems)

Schedule Tips

  1. This class takes place on Monday and Wednesday. Use Tuesday, Thursday, and Friday to complete assignments.

Weekly Update January 25th

Welcome back to another week of Geometry! Here’s what to expect:

Classes: Tuesday/Thursday 8:45 – 9:30 AM

Office Hours: Tuesday, 1:30 – 2:30 PM; Wednesday, 2:30 – 3:30

Zoom ID: 788 4007 4382 (This is different from last semester)

*as always, please see Teams for the password.

Weekly Objectives

  1. Students can use their knowledge of circle area and circumference to find arc length and sector area. We will also begin our study of radians.
  2. Students can use their knowledge of arcs and sectors to solve and create real-world problems.

New Assignments (Due 02/01 at 8:00 AM)

  1. Arc and Sector Word Problems(Teams: Assignments)

Late Assignments (10% off after 01/25 at 8:00 AM)

  1. Arc Length and Sector Area (Teams: Assignments)

Below: Here is one example of how you might organize your math work this first week. This is merely a suggestion of one way to pace yourself, and you should do whatever works best for you. No one knows your schedule better than yourself!

Monday

Tuesday

Wednesday

Thursday

Friday

Record all assignments from Teams

Attend class at 8:45

Office hours at 1:30 – 2:30 if needed

Begin Arc and Sector assignment

Office hours from 2:30 – 3:30 if needed.

Attend class at 8:45

Complete the Arc and Sector assignment

Check all assignments for completion

 

Weekly Update January 19th

Welcome back to the second full week of Geometry! Here’s what to expect:

Classes: Tuesday/Thursday 8:45 – 9:30 AM

Office Hours: Tuesday, 1:30 – 2:30 PM; Wednesday, 2:30 – 3:30

Zoom ID: 788 4007 4382 (This is different from last semester)

*as always, please see Teams for the password.

Weekly Objectives

  1. Students can use their knowledge of circle area and circumference to find arc length and sector area. We will also begin our study of radians.
  2. Students can use their knowledge of circular equations in order write disordered equations into standard circle form.

New Assignments (Due 01/25 at 8:00 AM)

  1. Arc Length and Sector Area (Teams: Assignments)

Late Assignments (10% off after 01/18 at 8:00 AM)

  1. Completing the Square 1 (Teams: Assignments)

Below: Here is one example of how you might organize your math work this first week. This is merely a suggestion of one way to pace yourself, and you should do whatever works best for you. No one knows your schedule better than yourself!

Monday

Tuesday

Wednesday

Thursday

Friday

NO SCHOOL

Attend class at 8:45

Office hours at 1:30 – 2:30 if needed

Begin Arc and Sector assignment

Office hours from 2:30 – 3:30 if needed.

Attend class at 8:45

Complete the Arc and Sector assignment

Check all assignments for completion

 

Weekly Update January 11th

Welcome back to the first full week of Geometry! Here’s what to expect:

Classes: Tuesday/Thursday 8:45 – 9:30 AM

Office Hours: Tuesday, 1:30 – 2:30 PM; Wednesday, 2:30 – 3:30

Zoom ID: 788 4007 4382 (This is different from last semester)

*as always, please see Teams for the password.

Weekly Objectives

  1. Students can use their knowledge of circular equations in order write disordered equations into standard circle form.
  2. Students will be able to explain how completing the square is both an algebraic process (can be proven using numbers) and a geometric process (can be proven using shapes).

New Assignments (Due 01/18 at 8:00 AM)

  1. Completing the Square 1 (Teams: Assignments)

Late Assignments (10% off after 01/11 at 8:00 AM)

  1. Pretest (Teams: Assignments)

Below: Here is one example of how you might organize your math work this first week. This is merely a suggestion of one way to pace yourself, and you should do whatever works best for you. No one knows your schedule better than yourself!

Monday

Tuesday

Wednesday

Thursday

Friday

Record all assignments for the week.

Attend class at 8:45

Office hours at 1:30 – 2:30 if needed

Begin Completing the Square assignment

Office hours from 2:30 – 3:30 if needed.

Attend class at 8:45

Complete the Completing the Square assignment

Check all assignments for completion

 

Finals Week (Math)

Here is how your math final will work:
 
The Final: Similar to the Final Review, both the final and the sheet for your answers will appear in Teams Monday (14th) at 8 AM. It is due by 4 PM on Tuesday (15th). I will not accept late finals. Please submit it early in case you encounter tech issues. That way, you will have time to turn it in.
 
A few notes:
  • If Teams gives you trouble, you can download the answer sheet, record your answers, and either upload it to Teams or email it to me.
  • Please do not use Sharepoint. I have had trouble accessing student work when it is done using Sharepoint and Teams. Please either complete the document on Teams, or download it and upload it as described in the previous note.
  • If you had graphing problems on the review, you will also have them on the final. You can complete the graphs by hand and upload pictures of them or use a program like Microsoft Paint to draw on the graphs digitally.
Schedule: You do not have normal classes this week. However, I will be available during the following times if you have clarification questions, want to check your grade, or feel like chatting. Use the normal class Zoom info if you want to check in. I am available:
  • Monday, 8:45 - 9:30 and 11:00 - 11:45
  • Tuesday: 8:45 - 9:30 and 10:45 - 11:30
  • Wednesday: Not available.
I believe that is everything. Best of luck, and may the force be with you!
 
Best,
-Cuevas

Weekly Update December 7th

Welcome back for another week of Geometry! This week, we will be going through the Final Review posted on Teams, and then your final will be uploaded on Monday, December 14th. Here’s what to expect for the week:

Classes: Tuesday/Thursday 8:45 – 9:30 AM

Office Hours: Tuesday, 1:30 – 2:30 PM; Wednesday, 2:00 – 3:00

Zoom ID: 987 654 321

*as always, please see Teams for the password.

Weekly Objectives

  1. This week, we are reviewing all material from the past semester in preparation for the final.

New Assignments (Due 12/11 at 4:00 PM)

  1. Final Review
  2. All old work is due by 4pm on Wednesday, December 9th.

Late Assignments (10% off after 12/07 at 8:00 AM)

  1. Circle Equations: Finding the Radius (Teams: Assignments)

Below: Here is one example of how you might organize your math work this first week. This is merely a suggestion of one way to pace yourself, and you should do whatever works best for you. No one knows your schedule better than yourself!

Monday

Tuesday

Wednesday

Thursday

Friday

Record all assignments for the week. Begin Final Review

Attend class at 8:45

Continue working on Final Review

Turn in all late work by 4 PM.

Attend class at 8:45

Complete Final Review. Submit by 4 PM

 

Weekly Update November 30th

Welcome back for another week of Geometry! Just two more weeks before finals. We will be learning new material this week, reviewing next week, and then your final will be uploaded on Monday, December 14th. Here’s what to expect for the week:

Classes: Tuesday/Thursday 8:45 – 9:30 AM

Office Hours: Tuesday, 1:30 – 2:30 PM; Wednesday, 2:00 – 3:00

Zoom ID: 987 654 321

*as always, please see Teams for the password.

Weekly Objectives

  1. We can use our knowledge of the circle formula to create equations for circles using a center coordinate and an edge coordinate.
  2. When given a circle equation and a coordinate, we can determine where the coordinate is in relation to the circle without needing to graph.

New Assignments (Due 12/07 at 8:00 AM)

  1. Creating Circle Equations (Teams: Assignments)

Late Assignments (10% off after 11/30 at 8:00 AM)

  1. Circle Art (Teams: Assignments)

Below: Here is one example of how you might organize your math work this first week. This is merely a suggestion of one way to pace yourself, and you should do whatever works best for you. No one knows your schedule better than yourself!

Monday

Tuesday

Wednesday

Thursday

Friday

Record all assignments for the week. Begin Circle Equations assignment

Attend class at 8:45

Continue working on assignment

Attend class at 8:45

Complete Circle Equations assignment

Check all assignments for completion

 

Weekly Update November 16th

Welcome back for another week of Geometry! Here’s what to expect:

Classes: Tuesday/Thursday 8:45 – 9:30 AM

Office Hours: Tuesday, 1:30 – 2:30 PM; Wednesday, 2:00 – 3:00

Zoom ID: 987 654 321

*as always, please see Teams for the password.

Weekly Objectives

  1. We can use our knowledge of the Pythagorean Formula and the Circle Formula to create a picture using circles and recording their formulas and coordinates.

New Assignments (Due 11/23 at 8:00 AM)

  1. Circle Art (Teams: Assignments)

Late Assignments (10% off after 11/16 at 8:00 AM)

  1. Interpreting and Graphing Circles (Teams: Assignments)

Below: Here is one example of how you might organize your math work this first week. This is merely a suggestion of one way to pace yourself, and you should do whatever works best for you. No one knows your schedule better than yourself!

Monday

Tuesday

Wednesday

Thursday

Friday

Record all assignments for the week. Begin Circle Art assignment

Attend class at 8:45

Continue working on assignment

Attend class at 8:45

Complete Circle Art assignment

Check all assignments for completion