代数基础拔高训练1A
通过Workout 1A课程,学生可以将从代数基础(模块1)中掌握的知识和技能,创造性的应用到各种问题的解决中去。 课程包含了多种多样的预代数和代数问题,它们也是AMC 8和MATHCOUNTS中最常出题的数学领域,学生们也可以把这门课当做备考的额外练习。
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课程结构
每个模块的课程均包含20节LIVE课程,分为16节【日挑战】课程和4节【单元考核测验】复习课程(学生需要在复习课前进入配套的Pre-Recorded课程完成测验)。每节课程都将由2位 Stars 共同授课。在该模块的学习中,我们将讨论超过150个数学问题。
【日挑战课程】每节课中,学生都会学习解决全新的数学问题,老师们将通过启发式的教学引导和鼓励学生开创自己的解题方法。我们的LIVE课堂赞赏学生们提出自己的想法,鼓励每个学生和全班同学一起集思广益,构建各种不同的解题方法,更积极地参与数学发现。
【单元考核测验】包含20道数学问题,其中10题在正常难度范围内,而另外10题则非常具有挑战性。
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课程大纲
第1课
Arithmetic series; averages; Fermi estimate; 2-variable equations
第2课
Difference of squares; work problems; coupon collector problem
第3课
Radians; slope; circumference; ratios
第4课
Multiplication tricks; sum of powers of 2; approximation
第5课
Mental math; bases; harmonic mean; reciprocals
第6课
Comparing fractions; variables; word problems
第7课
Continued fractions; patterns
第8课
3-variable system of equations; factoring; floor function; exponents