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수학자를 위한 대수학 1: 기능적 대수학 1 수학 강좌(자습형)

수업
Kristen LeGeyt M.Ed. Secondary Mathematics
평균 평점:
5.0
수강 후기 수:
(217)
인기 선생님
인기 수업
수학자를 위한 함수대수학 1은 함수적 관점에서 대수학 1을 이해하기 위한 핵심 내용을 다룬다. 다루는 주제에는 상수, 선형, 조각별, 지수 및 이차 함수가 포함됩니다. 선수 필수과목: 기초 대수학
보고계신 지문은 자동 번역 되었습니다

수업 소개

영어 수준 - 알 수 없음
미국 6 - 9 학년
4 units//32 lessons//16 Weeks
Unit 1Linear Functions
12 lessons6 Weeks
Linear Functions
 Week 1
Lesson 1
Linear Transformations
This lesson will introduce students to linear functions and transformations.
Lesson 2
Linear Equations and Important Formulas
This lesson will teach students to use the different forms of linear equations and practice writing equations of lines.
 Week 2
Lesson 3
Graphing Linear Functions
This lesson will help students practice graphing linear functions, reading linear equations, and linear transformations.
Lesson 4
Algebraic Modeling with Linear Functions
This lesson will introduce algebraic modeling and introduce students to linear applications.
 Week 3
Lesson 5
Graphing Linear Systems
This lesson will introduce linear systems by graphing multiple lines on a single coordinate plane and will reinforce linear skills with more practice writing linear equations.
Lesson 6
Graphing Solutions to Linear Systems
This lesson will focus on what solutions to linear systems look like as well as finding solutions by graphing systems and then classifying the system of linear equations.
 Week 4
Lesson 7
Solving Systems of Linear Equations Algebraically
This lesson will teach students how to solve linear systems of equations in 2 variables using the substitution and addition (elimination) methods. This lesson will also continue to reinforce graphing and classifying systems of linear equations.
Lesson 8
Applications of Linear Systems
This lesson will introduce students to the different types of applications of linear systems and allow opportunities to practice linear systems skills and solve word problems.
 Week 5
Lesson 9
Linear Inequalities
This lesson will teach students to solve and graph linear inequalities.
Lesson 10
Graphing Systems of Linear Inequalities
This lesson will teach students to graph solutions to systems of linear inequalities.
 Week 6
Lesson 11
Linear Programming Graphing Feasibility
This lesson will introduce linear programming and use graphing systems of inequalities to create feasible regions.
Lesson 12
Linear Programming Using Inequalities
This lesson will teach students how to use linear programming (using systems of inequalities) in application problems to maximize profits.
Unit 2Understanding Functions
4 lessons2 Weeks
Understanding Functions
 Week 7
Lesson 13
Graphing Stories
This lesson will show students a variety of graphs from real world applications.
Lesson 14
Functions Notation
This lesson will formally introduce function notation and its uses.
 Week 8
Lesson 15
Function Operations
This lesson will teach the main operations that can be used when working with functions.
Lesson 16
Composition of Functions
This lesson will teach student how to compose 2 functions into 1 new function that does both of the original functions at once.
Unit 3Absolute Value and Exponential Functions
8 lessons4 Weeks
Absolute Value and Exponential Functions
 Week 9
Lesson 17
Absolute Value Transformations
This lesson will introduce students to absolute value functions and transformations.
Lesson 18
Solving Absolute Value Equations
This lesson will teach students how to solve absolute value equations.
 Week 10
Lesson 19
Graphing Absolute Value Functions and Transformations
This lesson will help students practice graphing absolute value functions, reading absolute value equations, and absolute value transformations.
Lesson 20
Exponential vs. Linear Modeling
This lesson will return to algebraic modeling with different functions.
 Week 11
Lesson 21
Exponential Modeling
This lesson will investigate exponential modeling.
Lesson 22
Exponential Modeling
This lesson will continue to investigate exponential modeling.
 Week 12
Lesson 23
Exponential Modeling
This lesson will continue to investigate exponential modeling.
Lesson 24
Exponential Growth and Decay
This lesson will teach students to use exponential growth and decay formulas using applications.
Unit 4Quadratics Functions
8 lessons4 Weeks
Quadratics Functions
 Week 13
Lesson 25
Graphing Quadratic Functions
This lesson will introduce students to quadratic functions and transformations.
Lesson 26
Transformations with Quadratics
This lesson will help students practice graphing quadratic functions, reading quadratic equations, and quadratic transformations.
 Week 14
Lesson 27
The Distributive Property
This lesson will teach students how to apply the distributive property to binomials and beyond.
Lesson 28
Introduction to Factoring
This lesson will teach students all of the methods used to factor in Algebra 1.
 Week 15
Lesson 29
Factoring Practice
This lesson will provide practice for both identifying factoring types and getting the factored form.
Lesson 30
Solving Quadratics
This lesson will teach students how to solve quadratics using factoring and the zero product property, using the square root method, using completing the square, and using the quadratic formula.
 Week 16
Lesson 31
Graphing Quadratics from Standard Form
This lesson will teach students to graph quadratic equations from the standard form.
Lesson 32
Applied Quadratics
This lesson explore some different types of quadratic applications for the Algebra 1 level.
  • Students will be able to understand the properties of Algebra 1 functions including linear, piecewise, absolute value, exponential, and quadratic.
  • Students will be able to simplify expressions, solve equations, write algebraic models, and factor polynomials.
수업 외 주당 2 - 4 시간
과제
빈도: 1-2 per week
피드백: 포함됨
세부 내용: Optional Practice Offered
채점
빈도: 포함됨
세부 내용: Students will check their own work using solutions guides provided. If you need formal grading for this course please let me know upon enrollment and an end of course assessment can be provided.
Handouts will be provided to students but it is not a requirement to print all of them out.  They are additional tools provided to make learning mathematics easier if students wish to use them.

Technology can have a positive effect on mathematics classrooms and curricula.  While the use of different forms of technology is encouraged, it is not required that students purchase a handheld calculator.  If students wish to purchase a calculator to support their work, it is advised that they read through the list of allowed devices on the various standardized testing websites and college mathematics placement requirements before choosing which to purchase.  

I am currently recommending the Texas Instruments TI-84 Graphing Calculator (some students may prefer the upgraded TI-Nspire CAS version but it is not universally allowed by colleges still but has many more capabilities as well as supporting Python).

I am currently also recommending that every student take the time to set up a free online account through https://www.desmos.com 
이 수업에서는 아웃스쿨 교실 외에도 다음의 툴을 사용합니다:
가입일: September, 2020
5.0
217수강 후기
인기 선생님
인기 수업
프로필
교사 전문성 및 자격증
뉴햄프셔 교직증명서 수학에
석사 학위 교육 Grand Canyon University에서
학사 학위 역사 University of New Hampshire에서
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... 

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32 사전 녹화 레슨
16 선생님 지원 주간
시작일 선택 가능
1년간 콘텐츠 이용 가능

3 명의 학생이 수업을 완료함
시작일 선택 가능
연령: 11-15

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