Algebra 1 and Geometry

Sat 9AM- 10:30AM

Algebra I and Geometry

In order for students to be able to finish Calculus before applying to college, they need to finish Algebra I and Geometry/Algebra II (depending on your school) in middle school. This is important for students who want to major in STEM, AI, or even economics. For students that will enter middle school, the coming summer is a good time to preview these classes and become better prepared for next year’s class. For students who have taken these classes already, it will be helpful to review it and master the knowledge in a better way, so that the transition to classes of the next level will be seamless. From Algebra to Geometry, to pre-calculus, to calculus, the classes are so closely related that, if you don‘t master the basics of one class, it will be very hard to pick up and perform well in the class of next level.

The summer class is aimed to go through the critical parts of these classes with your children. It will benefit your kids very much in their study of mathematics related classes. Algebra I will cover the topics of functions, equation and equation sets, inequalities, radical functions and quadratic functions, polynomials, etc. The tutorial lecture will focus on critical points, skills of problem solving, and typical questions. It will also focus on helping students understand the relationship among different subsets of knowledge, and sharpen their ability to deal with complex questions which need knowledge from different chapters or even classes. Geometry will cover the topics of shapes (angles, circles, triangles, and polygons), lines (secant, tangent, parallels, perpendicular, auxiliary line). Geometry has many definitions, theorems, lemmas, etc., and skills are especially important in solving questions. The tutorial lecture will thus focus more on skills than other classes. A series of typical questions will be presented and skills for solving these model sample questions be discussed. The goal is to let students know the critical strategies for solving specific types of questions. In addition to the regular contents, this year the class will have some Olympic Math Contest type sample questions study. The goal is to help students build the skills for solving complicated questions and the skills for abstract thinking.

代数I和几何

为了使学生能够在申请大学之前完成微积分，他们需要在初中阶段至少完成代数 （1）和（2）以及几何 三门中的两门（取决于您的学校）。这对于想要学习STEM（科学， 工程， 和数学），AI（人工智能）甚至经济学的学生来说非常重要。对于即将上初中七，八年级的学生来说，即将到来的夏天是个很好的时间预览这些课程，并为下一年的课程做出更好的准备。对于已经修过一两门这些课程的学生，复习和掌握已经学过的知识并加深理解将有帮助于后续的学习。这样就可以无缝过渡到下一级别的课程。从代数到几何，再到微积分预科，最后到微积分，这些课程是如此紧密地联系在一起，以至于如果您不掌握一门课程的基础知识，那么在下一级别的课程中的学习就很难有良好表现。

暑期班的目的是与您的孩子一起学习这些课程的关键部分。这将对您的孩子在数学相关课程的学

习中将大有裨益。代数I将涵盖函数，方程式和方程组，不等式，根函数和二次函数，多项式等主题。本教程的重点在于关键知识点，解决问题的技巧和典型问题。该课程还将侧重于帮助学生理解不同章节知识之间的连系，并提高他们解答需要运用不同章节甚至不同课程的知识的复杂问题的能力。

几何将涵盖图形（角度，圆形，三角形和多边形），直线（割线，切线，平行线，垂直线，辅助线）等主题。几何具有许多定义，定理，引理等，并且技能对于解决问题尤为重要。因此，本教程的讲授将比其他课程更侧重于技能。将归纳一系列典型问题，并讨论解决这些典型问题的技巧。目的是让学生知道解决特定类型问题的关键技巧， 同时让学生能把不同章节的知识系统起来。

该课程面向在暑期开学后将选修代数或几何课程的学生。

今年的课程新增奥数竞赛技巧训练，目的是强化学生解答复杂问题的能力及抽象思维的能力。