한국어
로그인

수학자를 위한 대수학 2: 기능적 대수학 2 수학 강좌(자습형)

수업
Kristen LeGeyt M.Ed. Secondary Mathematics
평균 평점:
5.0
수강 후기 수:
(217)
인기 선생님
수학자를 위한 함수형 대수학 2에서는 함수 관점에서 대수학 2를 이해하는 데 필요한 핵심 자료를 다룹니다. 주제에는 다항식, 근수, 유리수, 지수 및 로그 함수가 포함됩니다. 선수 필수과목: 대수학 1
보고계신 지문은 자동 번역 되었습니다

수업 개요

미국 등급 8 - 11
4 units//32 lessons//16 Weeks
Unit 1Algebra 1 Linear Functions Review
8 lessons4 Weeks
Algebra 1 Linear Functions Review
 Week 1
Lesson 1
Simplifying Expressions
This lesson will review simplifying expressions.
Lesson 2
Solving Equations
This lesson will review solving equations.
 Week 2
Lesson 3
Investigating Graphing Lines
This lesson will review graphing and transformations of lines.
Lesson 4
Graphing Linear Functions
This lesson will review graphing linear functions.
 Week 3
Lesson 5
Linear Functions Review
This lesson will review Algebra 1 linear functions.
Lesson 6
Applications of Linear Systems
This lesson will review applications of linear systems from Algebra 1.
 Week 4
Lesson 7
Introduction to Functions (Notation, Operations, Composition)
This lesson will introduce functions and review notation, operations, and compositions.
Lesson 8
Algebraic Modeling with Linear Functions
This lesson will review how to do Algebraic Modeling using linear functions.
Unit 2Polynomials Functions
10 lessons5 Weeks
Polynomials Functions
 Week 5
Lesson 9
Regression Analysis and Intro to Quadratics
This lesson will go over regression analysis and introduce quadratic functions through data.
Lesson 10
Graphing Quadratics Review
This lesson will go over the anatomy of a quadratic from Algebra 1 and provides review work for working with quadratics in vertex, standard, and factored form.
 Week 6
Lesson 11
Factoring
This lesson is designed as a comprehensive review of factoring from Algebra 1 and includes the GCF Method, Trinomials with a lead coefficient of 1, Trinomials without a lead coefficient of 1, Factor by Grouping, Special Case: Difference of Squares, and Special Case: Perfect Square Trinomials.
Lesson 12
Solving Quadratics
This lesson will review the 4 Algebra 1 methods for solving quadratics using factoring and the zero product property, using the square root method, using completing the square, and using the quadratic formula.
 Week 7
Lesson 13
Radicals and Complex Numbers
This lesson will review properties of radicals and complex numbers as they appear quite often in polynomial functions.
Lesson 14
Modeling Quadratics
This lesson will review Algebraic Modeling with Quadratic Functions using data.
 Week 8
Lesson 15
Polynomial Skills Refresh
This lesson will review the basics of working with polynomials.
Lesson 16
Polynomial Division and Theorems
This lesson will introduce polynomial division using long division and synthetic division and related theorems.
 Week 9
Lesson 17
Polynomial Theorems and Equations
This lesson will introduce more polynomial theorems and how to write polynomial functions.
Lesson 18
Graphing Polynomial Functions
This lesson will put all of our polynomial work together by completely graphing polynomial functions and then trying related application problems.
Unit 3Radical, Reciprocal, and Rational Functions
6 lessons3 Weeks
Radical, Reciprocal, and Rational Functions
 Week 10
Lesson 19
Radical Equations
This lesson will introduce radical equations.
Lesson 20
Radical Functions and Transformations
This lesson will introduce radical functions and their transformations.
 Week 11
Lesson 21
Reciprocal Functions
This lesson will focus on graphing reciprocal functions.
Lesson 22
Rational Expressions and Equations
This lesson will review fraction skills applied to rational fractions that contain polynomials in the numerator and/or denominator.
 Week 12
Lesson 23
Rational Functions
This lesson will introduce graphing simplified rational functions and the different types of asymptotes that exist.
Lesson 24
Rational Functions Discontinuities and Applications
This lesson will introduce graphing non-simplified rational functions and the different types of discontinuities that exist.
Unit 4Exponential and Logarithmic Functions
8 lessons4 Weeks
Exponential and Logarithmic Functions
 Week 13
Lesson 25
Exponential Properties Review & Exponential vs Linear Modeling
This lesson will review properties of exponents. This lesson will also review Algebraic modeling for exponential functions.
Lesson 26
Graphing Exponential Functions
This lesson will review graphing exponential functions.
 Week 14
Lesson 27
Simplifying Logarithms
This lesson will introduce logarithms and their basic properties.
Lesson 28
Properties of Logarithms
This lesson will introduce properties of logarithms and how to go between exponents logarithms using these properties.
 Week 15
Lesson 29
Solving Logarithmic Equations
This lesson will use properties of logarithms to solve logarithmic equations.
Lesson 30
Solving Exponential Equations
This lesson will use logarithms to solve exponential equations where the variable is in the exponent.
 Week 16
Lesson 31
Graphing Logarithmic Functions
This lesson will focus on graphing logarithmic functions.
Lesson 32
Applications for Exponential and Logarithmic
This lesson will introduce applications involving both exponential and logarithmic functions.
  • Students will be able to understand the properties of the Parent, Quadratic, Polynomial, Cubic, Radical, Rational, Reciprocal, Logarithmic and Exponential Functions. Students will be able to use modeling techniques graphically and algebraically.
숙제 제공
A pacing guide will be provided as well as a syllabus outlining how each student and family can determine the best homework load for their situation. 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. Labs and online participation components are considered part of class time but will also need to be completed each week. Optional enrichment activities and additional practice will also be available.
수업 외 주당 2 - 4 시간
제공되는 평가
Assessments will be provided and can be formally graded or self-corrected. All students will receive a topical transcript at the end of the course. Students needing formal grades should submit assessments for grading throughout the class and a graded transcript can be provided.
제공되는 성적
It is recommended that students have access to a graphing calculator like the Texas Instruments TI-84 plus beginning with Algebra classes.
Students will receive handouts and assignments throughout the course.
Labs and optional enrichment activities may require miscellaneous household items on occasion.
이 수업에서는 아웃스쿨 교실 외에도 다음의 툴을 사용합니다:
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.
가입일: September, 2020
5.0
217수강 후기
인기 선생님
프로필
교사 전문성 및 자격증
NewHampshire 교사 자격증 - Mathematics
Bachelor's Degree History에
Master's Degree Education에
NewHampshire 교사 자격증 - Mathematics
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 also offer... 
자율 진도 수업

₩100

매주 또는 ₩400 모든 콘텐츠에 대해
32 사전 녹화 레슨
16 선생님 지원 주간
시작일을 선택하세요
콘텐츠 액세스 기간 1년

3 명의 학생이 수업을 완료함
연령: 13-17

지금 등록하고 언제든지 시작하세요
아웃스쿨 소개
고객 지원
안전 정책개인 정보CA 개인 정보어린이 개인정보이용 약관
아웃스쿨 홈페이지
앱 다운로드
앱 스토어에서 다운로드Google Play에서 다운로드
© 2024 아웃스쿨