AoPS 预备代数精讲班(Pre-Algebra)

$300.00$600.00

AoPS 是著名的教育公司,其出版的 Pre-Algebra 教材受到很多家长和孩子们的欢迎。

 

AoPS 初级代数课程(Pre-Algebra)授课老师是现任美国公校学校数学老师,并在学校带领竞赛数学队,拥有10多年的初高中竞赛数学教学经验。并多次带领学生取得优异的数学竞赛成绩。

 

课程提供所需上课资料电子版,家长无需购买。如需纸质书,可点击购买 AoPS Pre-Algebra 教材

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第一期课程大纲

Properties of Arithmetic

  • Rigorous definition of arithmetic basics
  • Clever applications of arithmetic rules to make seemingly-complicated calculations simple

Exponents

  • Exponentiation and powers
  • Exponent laws
  • Zero as an exponent
  • Negative exponents

Number Theory

  • Multiples and divisibility
  • Primes, composites, and prime factorization
  • Fundamental Theorem of Arithmetic
  • Least common multiple (LCM) and greatest common divisor (GCD)

Fractions

  • Rigorous definition of fractions
  • Arithmetic with fractions and mixed numbers
  • Fraction comparison and simplification
  • Challenging word problems with fractions

Equations and Inequalities

  • Expressions and equations
  • Linear equations
  • Applications of linear equations to word problems
  • Principles of inequalities
  • Linear inequalities

Decimals

  • Definition of decimal notation
  • Rigorous exploration of arithmetic with decimals
  • Decimal comparison and approximation
  • Conversion between fractions and decimals
  • Rational numbers and their decimal representation

Ratios, Conversions, and Rates

  • Definition of ratio and proportion
  • Proportional thinking
  • Problem-solving with part-to-part and part-to-whole ratios
  • Variables in ratios and proportions
  • Unit conversion with conversion factors
  • Relationship between speed, distance, and time
  • Joint work, relative speed, and average speed

第二期课程大纲

Percents

  • Definition of percent
  • Relationships among percents, fractions, and decimals
  • Percents of numbers
  • Percent word problems
  • Percent increase and decrease
Square Roots
  • Definition of square root
  • Equations with square roots
  • Non-integer square roots
  • Simplification of square roots
  • Arithmetic with square roots
Angles
  • Angle measurement
  • Parallel lines
  • Angles in a triangle
  • Angles in other polygons
Perimeter and Area
  • Segments and perimeter
  • Triangle inequality
  • Triangle area
  • Circumference of a circle
  • Area of a circle
  • Unusual areas
Right Triangles and Quadrilaterals
  • The Pythagorean Theorem
  • Pythagorean triples
  • 30-60-90 and 45-45-90 triangles
  • Types of quadrilaterals
  • Quadrilateral area
Data and Statistics
  • Average (mean)
  • Averages as a balancing act
  • Median, mode, and range
  • Limits of basic statistics
  • Types of graphs and charts
Counting
  • Numbers in lists
  • Venn diagrams
  • Multiplication principle
  • Casework
  • Pairs
  • Introduction to probability
Problem-Solving Strategies
  • Find a pattern
  • Make a list
  • Draw a picture
  • Work backwards
  • Segments and perimeter
  • Triangle inequality
  • Triangle area
  • Circumference of a circle
  • Area of a circle
  • Unusual areas

配送规则

上课前 48 小时会通过电子邮件发送 Google Classroom 链接,Zoom 链接会在 Google Classroom 里的 Class Information 中查看。不熟悉 Google Classroom 使用方法的家长请观看视频教程学习。

上课规则

在上课前,请您确保和孩子做好以下的准备,以免耽误上课。
  • 家长们协助孩子安装上课软件 Zoom,协助孩子调试设备,方便进行线上学习。
  • 上课前请家长确认电脑或 iPad 的充电状态,以防临时没电。
  • 上课期间请尽量保持家里环境的安静。
  • 上课时学生 Zoom 镜头必须打开,让老师能看到学生。
  • Zoom 的名字必须是报名上课孩子的名字,课堂只限已报名学生,否则老师将会要求离开课室进行调整。
  • 让孩子熟悉使用 Zoom 的静音,Chat,和举手的功能。
  • 为保证课程顺利进行,工作人员将参与上课,进行协助和监督。
  • 请家长监督孩子完成作业,按时在 Google Classroom 里提交给老师。

退费规则

  • 报名后无法成班将全额退款
  • 第一节课开始之前可以全额退款
  • 第一节课结束后可以退课(扣除第一节课的费用),剩余课时费作为积分退回爱学账户;也可以安排换课。
  • 第二节课之后就不能退课也不能再换课。
  • 因学生原因导致缺课将提供录像,不能退费或者退积分

联络客服

如果您对课程或老师有任何疑问,欢迎您通过以下方式联系爱学客服。

添加客服咨询

其他信息

适合年级

5年级, 6年级, 7年级, 8年级

选择课程

第一期周日班, 第一期周日晚班, 第二期周六班, 第一期周三班

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