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### 고등학교 대수학 1(24주) | 수학 | 풀코스 | 라이브 수업

보고계신 지문은 자동 번역 되었습니다

#### 수업 소개

###### 영어 수준 - 알 수 없음

###### 미국 등급 8 - 11

Algebra 1 is designed to introduce students to the fundamental concepts and techniques of algebra. Through a combination of lectures, discussions, and problem-solving exercises, students will develop their understanding of algebraic principles and learn how to apply them to real-world situations. The course will cover topics such as solving equations and inequalities, graphing linear and quadratic functions, factoring polynomials, and simplifying algebraic expressions. Students will also...

24 lessons//24 Weeks

Week 1Lesson 1Algebraic FoundationsThese initial classes lay the groundwork for algebraic understanding by introducing fundamental concepts such as variables, expressions, and the properties of real numbers. Students learn how to manipulate algebraic expressions, simplify expressions, and understand the rules governing algebraic operations. This foundational knowledge sets the stage for more advanced topics in algebra.Week 2Lesson 2Algebraic FoundationsThese initial classes lay the groundwork for algebraic understanding by introducing fundamental concepts such as variables, expressions, and the properties of real numbers. Students learn how to manipulate algebraic expressions, simplify expressions, and understand the rules governing algebraic operations. This foundational knowledge sets the stage for more advanced topics in algebra.Week 3Lesson 3Solving EquationsBuilding on the algebraic foundations established in previous classes, students delve into the art of solving equations. They learn various techniques to solve linear equations, including one-step, two-step, and multi-step equations. Through practice problems and real-world examples, students develop proficiency in identifying the correct method to apply and solving equations efficiently.Week 4Lesson 4Solving EquationsBuilding on the algebraic foundations established in previous classes, students delve into the art of solving equations. They learn various techniques to solve linear equations, including one-step, two-step, and multi-step equations. Through practice problems and real-world examples, students develop proficiency in identifying the correct method to apply and solving equations efficiently.Week 5Lesson 5Solving InequalitiesIn these classes, students extend their problem-solving skills to inequalities. They learn methods for solving and graphing linear inequalities and compound inequalities. Through graphical representations and algebraic techniques, students explore the concept of solution sets and understand how to represent them on the number line.Week 6Lesson 6Solving InequalitiesIn these classes, students extend their problem-solving skills to inequalities. They learn methods for solving and graphing linear inequalities and compound inequalities. Through graphical representations and algebraic techniques, students explore the concept of solution sets and understand how to represent them on the number line.Week 7Lesson 7Linear equations & graphsStudents transition to graphing linear equations and inequalities on the coordinate plane. They learn how to find slope, y-intercept, and x-intercept, and use this information to sketch accurate graphs. Through hands-on activities and guided practice, students gain a deeper understanding of the relationship between equations and their graphical representations.Week 8Lesson 8Forms of linear equationsStudents transition to graphing linear equations and inequalities on the coordinate plane. They learn how to find slope, y-intercept, and x-intercept, and use this information to sketch accurate graphs. Through hands-on activities and guided practice, students gain a deeper understanding of the relationship between equations and their graphical representations.Week 9Lesson 9Forms of linear equationsStudents transition to graphing linear equations and inequalities on the coordinate plane. They learn how to find slope, y-intercept, and x-intercept, and use this information to sketch accurate graphs. Through hands-on activities and guided practice, students gain a deeper understanding of the relationship between equations and their graphical representations.Week 10Lesson 10Solving Systems of EquationsThese classes focus on solving systems of linear equations and inequalities. Students explore various methods, including graphing, substitution, and elimination, to find solutions to systems. They analyze real-world scenarios and apply mathematical models to solve problems involving systems of equations and inequalities.Week 11Lesson 11Solving Systems of InequalitiesThese classes focus on solving systems of linear equations and inequalities. Students explore various methods, including graphing, substitution, and elimination, to find solutions to systems. They analyze real-world scenarios and apply mathematical models to solve problems involving systems of equations and inequalities.Week 12Lesson 12FunctionsStudents delve into the concept of functions, understanding the relationship between inputs and outputs. They learn to evaluate functions, identify domain and range, and analyze function behavior. Through exploration of various function types and their graphical representations, students develop critical thinking skills and deepen their understanding of algebraic relationships.Week 13Lesson 13FunctionsStudents delve into the concept of functions, understanding the relationship between inputs and outputs. They learn to evaluate functions, identify domain and range, and analyze function behavior. Through exploration of various function types and their graphical representations, students develop critical thinking skills and deepen their understanding of algebraic relationships.Week 14Lesson 14SequencesStudents explore arithmetic and geometric sequences, identifying patterns and finding nth terms. They learn to represent sequences algebraically and graphically, and analyze sequences to understand their behavior. Through problem-solving tasks and real-world examples, students develop proficiency in identifying and generating sequences.Week 15Lesson 15Absolute Value & Piecewise FunctionsIn these classes, students explore absolute value functions and piecewise-defined functions. They learn to graph these functions and understand how they behave in different regions of the domain. Through real-world applications and problem-solving tasks, students develop proficiency in analyzing and interpreting absolute value and piecewise functions.Week 16Lesson 16SequencesStudents review exponent rules and properties, including properties of integer exponents and operations with exponents. They apply these rules to simplify expressions and solve equations involving exponents. Through practice exercises and application problems, students reinforce their understanding of exponent concepts and their applications.Week 17Lesson 17ExponentsStudents review exponent rules and properties, including properties of integer exponents and operations with exponents. They apply these rules to simplify expressions and solve equations involving exponents. Through practice exercises and application problems, students reinforce their understanding of exponent concepts and their applications.Week 18Lesson 18Roots and RadicalsBuilding on their knowledge of exponents, students explore radical expressions and their properties. They learn techniques for simplifying radicals and solving equations involving radicals. Through exploration of real-world examples and geometric applications, students deepen their understanding of roots and radicals.Week 19Lesson 19Roots and RadicalsBuilding on their knowledge of exponents, students explore radical expressions and their properties. They learn techniques for simplifying radicals and solving equations involving radicals. Through exploration of real-world examples and geometric applications, students deepen their understanding of roots and radicals.Week 20Lesson 20Exponential Growth & DecayStudents study exponential functions and their applications in real-world scenarios. They explore exponential growth and decay models, understanding how these functions represent population growth, investment growth, and radioactive decay. Through mathematical modeling and problem-solving tasks, students analyze exponential functions and their behavior over time.Week 21Lesson 21QuadraticsIn these classes, students dive into the study of quadratic functions and equations. They learn to graph parabolas, identify key features such as vertex and axis of symmetry, and solve quadratic equations using various methods. Through exploration of quadratic patterns and real-world applications, students deepen their understanding of quadratic functions and their significance.Week 22Lesson 22QuadraticsIn these classes, students dive into the study of quadratic functions and equations. They learn to graph parabolas, identify key features such as vertex and axis of symmetry, and solve quadratic equations using various methods. Through exploration of quadratic patterns and real-world applications, students deepen their understanding of quadratic functions and their significance.Week 23Lesson 23QuadraticsIn these classes, students dive into the study of quadratic functions and equations. They learn to graph parabolas, identify key features such as vertex and axis of symmetry, and solve quadratic equations using various methods. Through exploration of quadratic patterns and real-world applications, students deepen their understanding of quadratic functions and their significance.Week 24Lesson 24ReviewIn the final class, students have the opportunity to review key concepts covered throughout the course. They engage in comprehensive review activities, practice problems, and assessments to reinforce their understanding and prepare for assessments. Teachers provide additional support and clarification as needed to ensure that students are well-prepared for future algebraic challenges.

- 1. Develop a foundational understanding of Algebraic concepts and principles. 2. Learn how to solve equations and inequalities using various methods, including substitution and graphing. 3. Acquire skills in graphing linear equations and inequalities, including rate of change and finding the equation of the line. 4. Understand the concept of exponents, including multiplying, dividing, and adding exponential expressions. 5. Gain proficiency in solving quadratic equations by factoring, completing the square, and using the quadratic formula. 6. Learn about functions, including how to identify, evaluate, and graph them. 7. Improve critical thinking and problem-solving skills by practicing and applying mathematical concepts to real-life situations. 8. Develop effective study habits and time management skills to complete assignments and review course material. 9. Gain confidence in their mathematical abilities and feel prepared to take on more advanced math courses in the future. 10. Build a strong foundation in mathematics that will benefit them in college and career pursuits.

For over three years, I have been involved in teaching mathematics and providing tutoring services. As a mathematics teacher, I have a deep understanding of various mathematical concepts and their applications. I specialize in algebra, geometry, calculus, and have a strong ability to explain complex mathematical theories in easy-to-understand terms. I have experience utilizing different teaching methods to cater to students of varying skills and learning styles. Additionally, I am proficient in using various software and tools to enhance the learning experience such as graphing calculus and online educational resources. I am passionate about mathematics and committed to helping my students achieve their academic goals.

## 숙제 제공

Homework is assigned every week in either the form of a PDF worksheet or a Khan Academy assignment. If the homework is in PDF form, learners can submit it to me as an attachment through messages in the form of an image, scan, PDF, or DOC.## 수업 외 주당 2 - 4 시간

## 제공되는 평가

To receive a letter grade or a letter of completion, learners are required to complete all assignments, participate in class, and take a cumulative course review test.## 제공되는 성적

In this class, you can receive a letter of completion, a letter grade, or a pass/no pass option, along with a certificate of completion.

For Algebra 1, learners should have completed pre-algebra, with a strong understanding of arithmetic, basic geometry, and problem-solving skills. Proficiency in working with integers, graphing, and critical thinking is crucial for success.

A working mic, camera, physical scientific calculator and of course pencil/pen and paper! :D

이 수업에서는 아웃스쿨 교실 외에도 다음의 툴을 사용합니다:

In addition to utilizing Khan Academy, a complimentary online learning platform, this course will incorporate Google classroom for viewing my self-produced lesson videos, which will be similar to my live lessons in classes. YouTube may also be utilized for this purpose, though communication between learners and myself is not possible on either platform due to communication restrictions. All interaction will be conducted exclusively through Outschool and live meetings.

##### 교사 전문성 및 자격증

###### 학사 학위 심리학에

Get $25 off select classes (8 weeks or longer) by using the promo code 'MARIEJBHXE25' during our summer promo. With over four years of teaching experience on Outschool and two years of teaching English online to children in China, I have a...

###### 그룹 수업

24 회 수업에

#### ₩500

주당 1회, 24주

50분

6 명의 학생이 수업을 완료함

실시간 화상 수업

연령: 11-16

수업당 학습자 2-9 명