#### 무엇이 포함되어 있나요?

###### 사전 녹화된 수업 32개

###### 16 주

교사 지원 기간(주)###### 1년

학습 내용 이용 기간###### 숙제

A syllabus outlining the lessons and how each student and family can determine the best homework load for their situation is in the classroom. It is recommended to complete 2 lessons each week to complete in 16 weeks or to complete 1 lesson each week to complete in 32 weeks. Each session there will be an instructional content for note taking, a practice set of problems, and a solutions guide to check their own work, that should all be completed for each topic. Optional enrichment activities and additional practice will also be available.###### 학습 평가

Assessments will be provided and can be formally graded or self-corrected.###### 채점

Please contact me if you are needing specific grades. Students typically self assess in self-paced classes and receive a course completion on their Outschool transcript. If your state standards require a formal transcript and grades we will work together to보고계신 지문은 자동 번역 되었습니다

#### 수업 소개

###### 영어 수준 - 알 수 없음

###### 미국 9학년 - 12학년 학년

Proofing Geometry for Mathematicians will provide a complete Geometry curriculum covering 32 topics and can be completed in a 3 month (12 week) single semester by completing 3 topics each week. A pacing guide will be provided for planning purposes. The end date of this course will be extended 1 year from the start date so students will have plenty of time to complete the course and/or review material as needed. Sections will be offered at the beginning of every month, so families can choose the best schedule for your learners. Students can complete the entire Proofing Geometry curriculum over a 3 month period covering constructions, dissections, and proofs in this accelerated course. Please see the monthly schedule below for specific topics covered each month. Algebra 1 skills are a prerequisite for this class. Geometry (32 Topics): Constructions #1 Introduction to Construction #2 Learning to Use Compass and Straightedge #3 Constructing Lines & #4 Constructing Line Segments #5 Constructing Rays #6 Constructing Angles #7 Constructing Shapes #8 Applications in Constructions Dissections #9 Parallel Lines and Transversals #10 Congruent vs. Supplementary #11 Converse Theorems #12 Parallel Puzzles #13 Dissecting Area #14 Using Formulas and Literal Equations #15 Properties and Theorems of Shapes #16 Transformations Triangle Proofs #17 Classifying Triangles #18 Pythagorean Theorem #19 SSS Triangle Congruence #20 SAS Triangle Congruence #21 ASA Triangle Congruence #22 AAS Triangle Congruence #23 HL Triangle Congruence #24 Triangle Similarity and Proportions Trigonometry and Circle Proofs #25 Pythagorean Theorem #26 Pythagorean Triples #27 Special Right Triangles #28 Right Triangle Trigonometry #29 Properties of Circles #30 3D and Volume Formulas #31 Circle Theorems #32 Solving Circles Class Format: Each topic will contain the following learning resources and offer suggested activities to enrich learning (Students complete 3 topics per week). ***There are no LIVE sessions*** -Instructional Videos: This is where students actually learn the Geometry skills. It is important that students actively take notes for example problems to be successful on the following assignments. -Practice Assignments: Each topic will have practice assignments for students to master the Geometry skills. Worked out solutions will be provided for problem sets. -Applications of Topics: Each topic will have application problems. Students are encouraged to use this as an opportunity to communicate in mathematics with peers. Our goal is to prove to others that our solutions work using the laws of mathematics and to write solutions out in a way that others can understand. Please post a formal solution to 1 application each topic for others to read and deepen their understanding. Positive feedback to peers is also encouraged. -Discussion for Student Interaction: Students engaged in class discussions can have a more meaningful experience and are encouraged to respond to teacher led discussions for each topic as well as ask their own questions related to the topic, the assignments, or where they have seen the Geometry we are working on applied in the real world. In addition to asking questions, it is also beneficial for everyone if we respond in meaningful ways to peer questions. -Interactive Activities for Learners: Although there is a lot of skill material that needs to be covered in this course, additional enrichment activities will be provided throughout the course. Some of these may be using Desmos.com or a TI-84 Graphing Calculator. Some may be experiments or data collection and modeling done with the entire class. Others may be more independent games, investigations, explorations, or reinforcing activities. Students will also need a compass, protector, ruler, and compass to complete construction, dissection and proof explorations in this course. -Assessments for Teacher Interaction: Formally submitting assessments will allow me to see your work and provide individualized feedback. Assessments will be given for unit topics. Approximately 2 hours of online content will be provided each week. Additional work will take on average an additional 2-3 hours each week depending on the student. I teach Geometry from a proof perspective because the goal is to be able to use Geometry skills to make sense of the world around us. This means that reasoning and proof is a central principle necessary to the understanding of this content. Students will be able to understand the geometric properties as well as know when to apply reason and prove concepts in the real world.

##### 학습 목표

`Students will be able to use reasoning to prove geometric concepts.`

#### 강의 계획서

###### 4 유닛

###### 32 레슨

16 주 이상###### 단위 1: Constructions

###### 레슨1:

###### Introduction to Euclidean Geometry and Constructions

` This lesson is designed to introduce students to the compass and straightedge as we begin the constructions unit as well as explain what constructions are and where they came from. `

###### 레슨2:

###### Constructing Line Segments

` This lesson will teach students how to construct line segments with a compass and straightedge. We will also learn how to partition a line segment algebraically. `

###### 레슨3:

###### Constructing Angles

` This lesson will teach students how to construct angles and we will also be defining angle properties. `

###### 레슨4:

###### Constructing Perpendicular Bisectors

` This lesson will teach students how to construct perpendicular bisectors. This lesson will use perpendicular bisectors both geometrically and algebraically. `

#### 그 외 세부 사항

###### 학부모 가이드

Desmos.com an online graphing calculator utility and is a third party tool that does not require an account to use, but students may create a free account if they choose. Students will use desmos.com throughout the course in addition to their personal graphing calculator.
YouTube.com will provide supplemental videos for students to experience math through seeing and is a third party tool that does not require an account to use, but students may create a free account if they choose.

###### 사전 요구 사항

Algebra 1

###### 수업 자료

Students will need a calculator, geometry set including a geometric compass, straightedge, and protractor, and graph paper is recommended.

##### 교사 전문성 및 자격증

###### 뉴햄프셔 교직증명서 수학에

###### 2 정도

###### 석사 학위 교육 Grand Canyon University에서

###### 학사 학위 역사 University of New Hampshire에서

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I teach a variety of secondary mathematics classes on Outschool for students from 7th to 12th grade. Traditional core academic content courses I offer are Pre-Algebra, Algebra I, Geometry, Algebra II, and Pre-Calculus (I am using the current AP curriculum as a guide). I believe that all students interested in Calculus should primarily take Calculus through a college or second take an accredited AP Calculus AB or BC Course-which cannot be done on this platform. I am happy to work with students privately in addition to these recommendations though. All of my courses will exceed common core expectations and are accessible for all levels of students. Outside work is always provided but not expected unless grading is requested. Please let me know upon enrollment if you will need formal grades provided and I will let you know what additional assessments/assignments will be required.
Qualifications:
I earned my M.Ed. in Secondary Mathematics Education from Grand Canyon University and received my B.A. from the University of New Hampshire. I am a New Hampshire State Certified Secondary Mathematics Teacher with Highly Qualified Status for grade 7-12. I have over a decade of experience teaching in public and private schools, including IB (International Baccalaureate) and AP (Advanced Placement) as well as tutoring math students from Pre-Algebra to Calculus. I am an active member of NCTM (National Council of Teachers of Mathematics) and am current in common core curriculum as well as the latest best practices in education and mathematics.
Teaching Philosophy:
I believe that anyone can learn anything if they want to and that everyone would rather succeed than fail. In math, often students just haven't learned that yet (even I relate to this as a teacher of mathematics). My classroom is a safe space for all learners as we try to explore the mathematics we don't already know and refine our understanding of what we have learned in the past. I try to focus on students in the classroom and targeted instruction to produce better learning outcomes when developing lessons. Teaching math is something I am passionate about! Mathematics is a core content area where mastery can open so many doors and opportunities to students in the future. Math can give students more possibilities and it provides important skills in problem solving and mathematical reasoning.
Communication:
I teach full-time, year-round, on Outschool Mondays-Fridays from 6pm-11pm eastern and try to respond to inquiries within 24-48 hours. Please be patient with me as I prioritize enrolled student academic questions and grading over parent scheduling requests.
All student work sent will be looked at by our next session (the following week generally).
Curriculum Offerings:
***My course listings are leveled by color on chalkboard backgrounds in the class listing pictures to easily find courses: Pre-Algebra (Green), Algebra 1 (Red), Geometry (Yellow), Algebra 2 (Navy Blue), Pre-Calculus & Trigonometry (Purple), Electives/Multi Level Courses (Light Blue)***
Summer 2024 Offerings:
-Summer School for Mathematicians (Live Multi-Day) is available as 4 week course meeting twice per week (or one time per week for 8 weeks) to review core skills from the previous year and to begin the first semester core skill work for your upcoming fall course. I use a functional approach that adds understanding to the skill work and include tips and tricks for being successful in the new school year. This course is available for students going into Algebra 1, Geometry, Algebra 2, and Pre-Calculus. These are my best summer courses and all of my summer hours in July and August are spent teaching these sections.
-Summer Refreshers for Mathematicians (Self-Paced) is now available for anyone looking to review a previous course. These run 8 weeks with 16 lessons in total covering the main content of Algebra 1, Geometry, Algebra 2, or Pre-Calculus. If you are interested in this option, please contact me as soon as you know you would like to enroll. For those who need remediation with the review, I recommend taking this course along with a 30 minute tutoring session each week during the summer. Please note that I will send a direct link for the tutoring enrollment so families enrolled in the summer Self-Paced Refreshers can receive a discount on my tutoring rates. Tutoring will be available on Tuesday evenings this summer.
Availability Summer 2024:
Group class registration closes Monday, July 22nd.
Limited availability on Tuesdays 6-11pm eastern for students enrolled in Summer Refresher (Self-Paced) needing additional private tutoring.
Fall 2024 Offerings:
Full Year Academic Courses for Pre-Algebra (Green) Algebra I (Red), Geometry (Yellow), Algebra II (Navy) and Pre-Calculus (Purple)
-Principles of Pre-Algebra, Functional Algebra I, Proofing Geometry, Functional Algebra II, Pre-Calculus Functional Topics, and Pre-Calculus Trigonometry Topics core academic courses are currently offered in the Self-Paced format only (this is as they are a college lecture format-1 hour of lecture per topic with 3 hours of outside work). These traditional courses are all in a skills mastery format run lecture style over 4 months (accelerated 2 topics per week) or 8 months (traditional 1 topic per week) depending on your preference. Typically, students start in September to finish by June, but stay on-demand year round. This includes 32 Topics for each course. Self-Paced versions are designed as full-year, but can be done in 1 semester as an accelerated course. Please contact me if you will need a graded course or a more formal transcript than is normally provided by Outschool. For an honors level course, I recommend adding the in person weekly Problem Solving group course below (or doing as accelerated in fall and Problem Solving over Spring and Summer live). If you have a learner that needs support with this course, I recommend adding weekly tutoring. Please contact me for a private link to set this up at a discounted rate in conjunction with my Self-Paced course. I try to make tutoring available to students currently enrolled in core courses first as my hours available are not infinite. Pre-Calc students should plan on taking the Functional Topics in the Fall and the Trigonometry Topics in the Spring which covers the standard AP Curriculum.
- Live Ongoing Group Classes are labeled Problem Solving Integrated Math with the level indicated as Pre-Algebra, Algebra I, Geometry, Algebra II, or Pre-Calculus. These run on a Trimester schedule Starting in September, January, and May each year for 16 weeks each (these complement any traditional class or can be a complete curriculum). Please see the full description-these are designed to develop understanding of mathematics, explore content in depth, and allow students to learn how to communicate ideas while producing solutions. The curriculum focuses on student driven explorations of mathematical topics spiraling through content in an integrated format and includes strands that develop thinking and understanding of Calculus ideas starting in Pre-Algebra. This is a great course for everyone as concepts build on the student's knowledge rather than building like a traditional course. Students may drop in or out throughout the semester with no need to "catch up." This course is best for everyone, and is available for Pre-Algebra (introduces problem solving approach), Algebra 1, Geometry (includes Algebra throughout), Algebra 2, and Pre-Calculus. I have special training to teach this style of course and this specific curriculum.
Availability Fall 2024:
Remaining availability is Monday-Wednesday from 6pm-11pm eastern at various times for private classes.
Group class registration will remain open for ongoing enrollment.
Classes with no enrollments will get cancelled, so I always recommend enrolling for the first session as soon as you plan on taking a course.
Scheduled classes will run with 1 student as I am aware that math is a core content area.
More About Me:
I am a home school mother of 3 very active young boys. I spend most of my free time outside hiking or exploring with my boys. I love all things related to music and have played a variety of instruments but primarily piano and professionally the bassoon. And since I live in New Hampshire, I am glad I also love reading when the weather isn't cooperating. I especially love reading through blizzards with those twinkle lights on and a good cup of cocoa with whipped cream.
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#### 리뷰

###### 자율 학습 과정

매주

#### US$25

지불 또는 모든 콘텐츠를 US$400에 이용32개의 사전 녹화 레슨

16 교사 지원 기간(주)

시작일 선택 가능

1년간 콘텐츠 이용 가능

6 명의 학생이 수업을 완료함

시작일 선택 가능

연령: 13-17