オンラインシラバス

2019年度シラバストップ > 高Ⅰ年7組 > 数学 > Algebra I

教科
科目
学年・組
授業時間
担当者
数学
Algebra I
高Ⅰ年7組
4hrs/week
Smith

到達目標


The aim this year is to learn the fundamental techniques of algebra and apply these to real-world problems.

授業の進め方・学習方法


The course will consist of demonstrations of key points and examples by the teacher, followed by students working all practice problems from the relevant section of the textbook. Homework will be assigned each week for completion by the end of the week. A 50-minute term test will be conducted each term to help students prepare for examinations.

授業スケジュール


学期
学習内容
1学期
Chapter A - Review of Fundamental Concepts of Algebra
- A.1 Real Numbers and Their Properties
- A.2 Exponents and Radicals
- A.3 Polynomials and Factoring
- A.4 Rational Expressions
- A.5 Solving Equations
- A.6 Linear Inequalities in One Variable
- A.7 Errors and the Algebra of Calculus
1学期中間試験
1学期
Chapter 1 - Functions and Their Graphs
- 1.1 Rectangular Coordinates
- 1.2 Graphs of Equations
- 1.3 Linear Equations in Two Variables
- 1.4 Functions
- 1.5 Analysing Graphs of Functions
- 1.6 A Library of Parent Functions
- 1.7 Transformations of Functions
- 1.8 Combinations of Functions: Composite Functions
- 1.9 Inverse Functions
- 1.10 Mathematical Modelling and Variation
1学期末試験


学期
学習内容
2学期
Chapter 2 - Polynomial and Rational Functions
- 2.1 Quadratic Functions and Models
- 2.2 Polynomial Functions of Higher Degree
- 2.3 Polynomial and Synthetic Division
- 2.4 Complex Numbers
- 2.5 Zeros of Polynomial Functions
- 2.6 Rational Functions
- 2.7 Nonlinear Inequalities
2学期中間試験
2学期
Chapter 3 - Exponential and Logarithmic Functions
- 3.1 Exponential Functions and Their Graphs
- 3.2 Logarithmic Functions and Their Graphs
- 3.3 Properties of Logarithms
- 3.4 Exponential and Logarithmic Equations
- 3.5 Exponential and Logarithmic Models
2学期末試験


学期
学習内容
3学期
Chapter 9
- 9.1 Sequences and Series
- 9.2 Arithmetic Sequences and Partial Sums
- 9.3 Geometric Sequences and Series
- 9.5 The Binomial Theorem
- 9.6 Counting Principles
- 9.7 Probability

SAT Review
学年末試験

成績評価方法


種別
割合(%)
評価基準など
定期試験
60
Midterm: 30%
Final: 30%
Homework (WebAssign): 20%
Term Tests: 10%
Notebook: 5%
Participation: 5%
レポート
20
小テストなど
10
授業での取り組み状況
10

教科書・教材/参考書/参考サイト


教科書・教材
書名
出版社
教科書番号/code
備考
Precalculus, 10th Edition, Larson
Cengage Learning
ISBN-13: 978-1337271073 / ISBN-10: 1337271071

担当者からのアドバイス


Welcome to high school mathematics! Maths will be even more interesting and useful this year. However, there will be a significant increase in the level of difficulty. In high school, you are expected to start being more responsible for your own mathematical progress. You need to be studying outside of class as much as is necessary for you to achieve your goals. In H1 Algebra 1 we will study the essentials of algebra, so it very important you fully understand everything we study if you are to progress to future mathematics courses. If you feel you are struggling, please seek help early. My number one recommendation is to study a little bit each day, rather than cramming before the exam. Let's work hard and have a productive year. Best of luck and let's learn to love maths!