代数工具图标

LIVE 34: 代数工具

9月12日起,每周一、四、二、五下午11:00–12:15 (您所在地当地时间)

报名课程 $459课程详细介绍

该模块直播课总计25小时,课时费约为(~$18/小时)。报名直播课将同时享受该模块对应录播课程(Pre-Recorded Course)一年有效,无限次回看。

经过罗教授和课程团队反复调整,我们选择以不低于1:13的师生比进行授课。老师们将用各种方式鼓励孩子们发言、提问和思考,最大限度地提高孩子们的课堂参与度和积极性。每个班次不超过40名学生。

* 该班次直播课上课标准时间为下午7:00,纽约时间。

由于您所在国家的夏令时调整与本课程大部分学生所在地的时区不同,因此您的上课时间将在本课程期间发生变化,请注意调整您的课程安排。

选择课程前,来挑战一下能力水平测试吧!

这门课会太简单吗?(基础能力测试)这门课会难度太大吗?(分级测试)

课程日历

上课日由彩色图例标识。点击任意上课日了解当天课程内容

图例

16节日挑战课程,每节课通过不同的数学问题学习新的知识内容

4节周挑战复习课程,集中解决周挑战测试中遇到的问题,学生需要在复习课程前进入Pre-Recorded课程完成周挑战测验

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课程大纲

LIVE在线直播课程每个模块包含16次日挑战Session(第1课到第16课)+ 4次周挑战复习课(Weekly Challenge 1到4)共20节课程。每四节日挑战Session结束后将有一次周挑战复习课,学生需要在复习课前进入Pre-Recorded课程完成周挑战测验。

第1课

Percentage problems; decimals; ratios; difference of squares; distributive property; patterns in squares; exponents; scientific notation; estimation; expressions with two variables; multiplying binomials; special numbers

第2课

Interpreting word problems using algebraic expressions; number patterns; solving linear equations in two variables; integer equations; distributive property

第3课

Functions; averages; applications of variable expressions; order of operations; distributive property; simplifying expressions; rational functions; reciprocals; inverse functions

第4课

Sequences; algebraic methods and Fibonacci sequence; linear equations in one variable; rational expressions; functions; rational numbers and their decimal representations

第5课

Arithmetic and geometric sequences and their sums; averages; parity; prime factorization; divisibility; negative integers; sum of powers of 2; common ratio

第6课

Simplifying radicals and rational expressions; square roots; nested square root expressions; multiplying binomials; nonlinear equations in two variables; integer expressions; word problems; difference of squares; common denominator

第7课

Exponents, multiplying and dividing exponents; n-th roots; derivation of definition of fractional powers; estimation; geometric sequences; common ratio; derivation of formula for geometric mean

第8课

Repeating decimals derived from geometric sequences and fractional form of; linear equations in one variable; sum of a convergent geometric sequence

第9课

Word problems; systems of linear equations in two variables; substitution method; rational equations; reciprocals; change of variables; averages; number line

第10课

Linear equations in three variables; substitution method; adding and subtracting equations; symmetry

第11课

Quadratic equations; factoring methods; multiplying binomials; distributive property; zero product rule; sum and product of the solutions of a quadratic and Viète's formulas; change of variables; reciprocals

第12课

Derivation of Loh method of solving quadratic equations and applications to word problems; roots of an equation; ratios and proportion; area; sum and product of roots of a quadratic; golden ratio; difference of squares

第13课

Graphing; definition of axes, origin, and coordinates; perpendicular angles and bisectors; rotation; system of linear equations with two variables; midpoints; slope-intercept form; slope of a line; x- and y- intercepts

第14课

Graphing; intersection point of two lines; x- and y-intercepts; similar triangles; ratios; rotations of lines; systems of equations with two variables; sum of angles in a triangle; distance between a point and a line

第15课

Right isosceles triangles; Pythagorean Thm; slope-intercept form of the equation of a line; coordinates; distance between two points; point equidistant from two other points; perpendicular bisector

第16课

Graph of a parabola; tangent line to a curve; coordinates; slope and approximating slope; multiplying binomials; decimals; graph of the square root function; inverse functions; reflection of a curve

启明星助教老师

Lillian Xia 的头像
LILLIAN XIA

入选AIME资格赛 • 入选MPFG资格赛 • 喜欢打网球

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Jesse Brodtman 的头像
JESSE BRODTMAN

州级别数学竞赛项目领队 • 全国级别数学竞赛前六名 • USACO(美国计算机奥林匹克)铜牌满分获得者 •

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