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Mr. Vega, Geometry

Course Description

High school geometry is a foundational math course that explores the properties and relationships of shapes, sizes, and figures in space. Students dive into a variety of geometric concepts, including points, lines, angles, triangles, polygons, circles, and three-dimensional figures. Throughout the course, students engage in problem-solving activities, proofs, and real-world applications to understand how geometry is used in various fields. 

Posts

Geometry: 2/17 - 2/20

Hello.
We are comfortably sliding through our right-triangles unit. The students have learned about many characteristics of right triangles and the relationships between the sides of special right triangles.

Next week, we dive into trigonometry! We will learn the three basic trigonometric ratios, sine, cosine, and tangent, and how they apply to right triangles. It sounds daunting, but the kids will rise to the occasion and find confidence in their mastery of this unit.

A summary of the week is as follows:
Monday 2/16 - PRESIDENT'S DAY (NO SCHOOL)
Tuesday 2/17 - The Geometric Mean
Wednesday 2/18 - Trigonometric Ratios
Thursday 2/19 - Inverse Trigonometry

Geometry: February 9 - February 13

Hello.
This week has been a fun and productive week for us in class. On Thursday, we finished our Similarity unit with an activity called Eye-to-Eye where students had to calculate how far they needed to stand to see each other's eyes in a thin mirror on the floor using their understanding of similar triangles and proportional relationships. We also had a test on Wednesday.

Next week, we will start our right triangles unit. This unit is particularly iconic because it is the unit where students are first introduced to trigonometry! We won't see these trigonometric rations until the week of February 16th. This coming week, we will focus on the Pythagorean Theorem and its converse as well as special right triangles.

A summary of the week is as follows:
Monday 2/9 - The Converse of the Pythagorean Theorem
Tuesday 2/10 - Special Triangles: 45-45-90 Triangles
Wednesday 2/11 - Special Triangles: 30-60-90 Triangles
Thursday 2/12 - The Geometric Mean
Friday 2/13 - Kindness Day (HALF DAY - DISMISSAL AT 11:30)

Geometry: 1/26 - 1/30

Hello! Last week, we just wrapped up our 7th unit this year with a test on Thursday. This coming week, we will begin Unit 8 which is all about similarity. The meat of next week will consist of diving into triangle similarity proofs, building off our knowledge of triangle congruency proofs.
 
Monday 1/26 - Unit 7 Intro / What is Similarity?
Tuesday 1/27 - Triangle Congruency Proofs (AA)
Wednesday 1/28 - Triangle Congruency Proofs (SSS and SAS)
Thursday 1/29 - Writing Proofs Practice

Geometry: 1/19 - 1/23

Hello! Welcome to a new semester, we are at the halfway point! This semester, we are starting off with our quadrilaterals unit. So far, we have talked about the classifications of quadrilaterals as well as a more in-depth look into parallelograms.

Next week, we will look at properties of special parallelograms (squares, rectangles, and rhombi) as well as properties of trapezoids and kites.

We will have a small test at the end of the week (on Thursday).
 
Monday 1/19 - NO SCHOOL - MLK Day
Tuesday 1/20 - Properties of Trapezoids and Kites
Wednesday 1/21 - Defining Quadrilaterals Using Diagonals
Thursday 1/22 - Unit 7 Test

Finals Week: 12/15 - 12/19

Hello! Next week is final exam week here in the Westgate high school. We have been preparing diligently in the past days/weeks. Next week is also spirit week for the whole school that the high school has organized. Below is a loose plan for the week as well as each day's spirit week theme:
 
Monday 12/15 - Finals all day - Pajama/Onesie
Tuesday 12/16 - Finals all day - Ugly Sweater
Wednesday 12/17 - Makeup Finals/Team Building - Anything but a Backpack
Thursday 12/18 - Avatar Day!!
Friday 12/19 - Visit from Supreme Court Justice/Winter Party - Dress to Impress
 
As we wind down and reach the end of the semester, I want to wish everyone a nice and relaxing winter break after this final stretch!

Geometry: 11/17 - 11/21

We are in the midst of our 6th unit in Geometry formally titled "Relationships Within Triangles".

This week, we will finish learning about triangle centers and other related vocabulary and characteristics. I plan to have a quiz on this first half of the unit on Thursday before Thanksgiving Break. Here is a tentative schedule for the week:

Monday 11/17 - Medians and Altitudes
Tuesday 11/18 - Triangle Midsegments
Wednesday 11/19 - Using Triangle Centers / Review
Thursday 11/20 - Quiz 6.1 - 6.4

Geometry: 11/10 - 11/14

We just wrapped up our triangle congruence theorems unit, I'm sure the kids are relieved, it is a tough unit!

This coming week will mark the start of our sixth unit in Geometry. Unit 6 is titled "Relationships Within Triangles". In this unit, we are going to learn a lot of vocabulary related to triangles such as perpendicular bisectors, angle bisectors, medians, and altitudes. Then we will learn about how to find the "center" of a triangle.

Monday 11/10 - NO WCS (students still have FRCC classes!!!!)
Tuesday 11/11 - Prior Knowledge Review + Perpendicular Bisectors
Wednesday 11/12 - Angle Bisectors, Circumcenters, and Incenters
Thursday 11/13 - Medians and Altitudes, Orthocenters and Centroids

Geometry: 11/3 - 11/7

November 3rd - November 7th

We are nearing the end of our 5th unit where we learned about triangle congruence proofs.
 
This coming week, we are going to use these congruence proofs to solve problems. We will have a test at the end of the week on Thursday with an accompanying review day on Wednesday.
  • Monday 11/3 - Isosceles and Equilateral Triangles
  • Tuesday 11/4 - SSS and ASA Triangle Congruence Proofs
  • Wednesday 11/5 - Unit 5 Review
  • Thursday 11/6 - Unit 5 Test
We have a half day on Friday 11/7, students will be released at 11:30.

Geometry - Unit 5

October 27th - October 31st

We just finished our fourth unit about transformations of figures in the coordinate plane. This coming week, we are beginning Unit 5.
 
Unit 5 - Congruent Triangles
This unit focuses on the many Triangle Congruence Theorems. Using these theorems, we can prove two triangles are congruent to each other simply by knowing a few pieces of information such as side lengths and angle measures.
 
This coming week, we are going to start by reminding ourselves of what congruence and similarity are. Then, we will begin examining the Triangle Congruence Theorems themselves and using them to write proofs. Here is the tentative plan for the week:
  • Monday 10/27 - Classification of Triangles and the Triangle Sum Theorem
    • Explore 5.1 (In Class)
  • Tuesday 10/28 - Congruence Statements and Similarity
    • Homework 5.2
  • Wednesday 10/29 - SAS Triangle Congruence
    • Homework 5.3
  • Thursday 10/30 - Practice

Geometry - Unit 2

We made it through our first unit in Geometry! We took our first test last Thursday, August 21st. I am excited as this semester progresses because geometry is my favorite subject to teach! It just takes a little bit to ramp up, but we are doing good so far.
 
Unit 2 is all about Reasoning and Proofs. We will learn about:
  • Conditional statements
  • Deductive vs. Inductive reasoning
  • Conjectures, Theorems, and Postulates
  • Algebraic reasoning
  • Proving mathematical theorems
I am hoping to have a project at the end of this unit which will be about 2-3 weeks from now, stay tuned to hear about the details of this project as I am still working through them.

Geometry - Unit 1

We are well under way through our first unit in Geometry which covers many of the basics of geometry. We started by defining points, lines, and planes and playing with how they might interact. We recently learned about midpoint and distance formulas and are applying them to the area and perimeter of polygons in a coordinate plane. I plan to have our first test on Monday, August 25th, it's coming soon! We will wrap up this unit with a good dive into angles, angle pairs, and constructing/measuring angles.