AoPS_Number_Theory 2020 Spring Week 1: Integer

lilijia Posted in AoPS_Number_Theory，
20 January 2020
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AoPS_Number_Theory 2020 Spring Week 1:  Linear Models

Welcome to the new course of AoPS: Intro to Number Theory! Here is the course information and teaching schedule: http://blog.newtonchineseschool.org/lilijia/number-theory/

Welcome new friend Alex!

Lesson Review:

  • We did a pretest and went through all the problems in class. Make sure you get the basic skills for this class (especially: finding divisors and remainders, exponents, solving quadratic equations)
  • Integers, natural numbers, whole numbers, counting numbers
  • Perfect square/cube/power
  • Remainder
  • n/0 is undefined
  • a proper divisor of an integer n is a positive divisor of n other than n.
  • We commonly write n|k. This means that n is a divisor of k. (n is the divisor, and k is the dividend)
  • If a|b and b|c, then a|c, i.e. divisibility is a transitive relation.

Homework:

  • Page 6: Ex 1.2.3
  • Page 10: Ex 1.3.5, 1.3.9
  • Page 14: Ex 1.4.1
  • Page 18: Ex 1.5.1 (j) (i)
  • Page 19: Ex 1.6.1, 1.6.2
  • Page 24: Ex 1.17, 1.18 (*1.19 bonus)

Other Resources:

No school next Sunday. Happy Lunar New Year! See you on 2/2 (We will learn Chapter 2: primes and composites).

Please join in the Wechat Group:

SAT-Math 2020 Spring Week 1: Linear Models

lilijia Posted in SAT math，
20 January 2020
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SAT-Math 2020 Spring Week 1:  Linear Models

Welcome new friend Abby!

This is the first class in the Spring Semester. By the end of June, we will go through all the topics including linear/quadratics, number theory foundation (synthetic division, complex numbers, absolute value), geometry (angles, triangles, circles, and volumes), trigonometry, probability, statistics, and reading data.

Lesson Review:

1. Comments & corrections on 2019 Fall Final Term

  • When the coefficients of each term are equal, we can say the left and right parts of an equation are equal. (Section 3, Q10, and Section 4, Q16)
  • The root square should be non-negative (Section 3, Q15)
  • Read every keyword carefully. Know which data you should look into. (Section 4, Q9)
  • Pythagorean Triples (3,4,5), (5,12,13), (7,24,25) and so on.
  • …
Use this scoring table to find how much you can get in this practice test:)

2. Chapter 14: Interpreting Linear Models

  • Understanding the meanings/applications of “slope” (rate of change) and ”y-intercept” (the value of the function when x=0).

Homework:

1. Corrections of Final Exam Paper

2. Chapter 14 Exercise (Page 113-116)

Other Resources:

https://www.khanacademy.org/test-prep/praxis-math/praxis-math-lessons/gtp–praxis-math–lessons–statistics-and-probability/a/gtp–praxis-math–article–interpreting-linear-models–lesson

No school next Sunday. Happy Lunar New Year! See you on 2/2！

SAT-Math Week 15: Final Exam

lilijia Posted in SAT math，
13 January 2020
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今天的考试Section 4在复印试题的时候发生“意外”，打印机误将2张纸一起卷进去，导致中间2面的试题没有复印，这样全班人20-25题都没有做，直到李老师批改试卷的时候才发觉！所以下周日上课会抽出5分钟时间给大家补做这5题！抱歉发生这样的乌龙~~

试卷都已经批好，错题也已经录入我的小数据库。这次期末比期中考试难了一些，我们会在下周挑选典型错题重点讲解。

下周会开始新的一章，Chapter 14: Interpreting Linear Models. 请大家记得带上课本与试卷。

另外，我们把Teaching Schedule做了微调，原定3.15的期中考试推迟到3月29日。这样保证前后半个学期的课时数相对均衡。具体详见：

我们下周见！（还未注册春季学期课程的家长请勿错过1月19日的报名缴费日期^_^）

AoPS_CP Week 15: Final Exam

lilijia Posted in AOPS_Counting_Probability，
13 January 2020
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Answer Key:

今天的期末考试有些难（AoPS系列课程属于相对Advanced level，加上这门课与下周即将开始的Number Theory一样，许多知识点在日常课程教学大纲之外，属于数学竞赛内容），所以孩子们的分数若不理想，不要太灰心。更重要的是做好订正（正如我要求学生日常做好每次作业的订正一样道理），查漏补缺。

学习数学最主要的是锻炼数学思维，激发钻研的兴趣，以及和诸多其他项目学习一样: 培养孩子们迎难而上的韧劲与永不言败的毅力。 一纸分数是眼前的，一颗种子是一辈子的^_^

再次感谢所有孩子与家长这一学期来的努力！愿大家收获一颗热爱探索的种子，在合适的时机与适宜的土壤，发芽、长叶、开花！

我们新学期见！

Reminder: Final Exam + Spring Course

lilijia Posted in AOPS_Counting_Probability，
11 January 2020
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Dear all,

Please bring a calculator to school this Sunday for the final exam.

1/18 will be the first day of the Spring Semester. We have finished AoPS: Counting & Probability in fall, and will have AoPS: Number theory in the Spring.

Course Description: http://www.newtonchineseschool.org/news/AOPSNumbertheoryCourseDescription.pdf

Textbook: AOPS – Introduction to Number Theory, by Mathew Crawford
Purchase online: https://artofproblemsolving.com/store/item/intro-number-theory

Best,
Lijia

SAT-Math Week 14: Lines

lilijia Posted in SAT math，
06 January 2020
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SAT-Math Week 14: Lines

Lesson Review:

  1. forms of linear equations
  2. Slope
  3. Parallel lines and perpendicular lines
  4. vertical line and horizontal line

Homework: Chapter 13 Exercise (Page 108-110)

Other Resources:

Something Else:

Next week we are going to have our final exam. Please remember to bring your calculator. See you soon!

AoPS_CP Week 14: The Binomial Theorem

lilijia Posted in AOPS_Counting_Probability，
06 January 2020
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AoPS_CP Week 14: The Binomial Theorem

Lesson Review:

  • The first term’s exponents start at n and go down
  • The second term’s exponents start at 0 and go up
  • Coefficients are from Pascal’s Triangle, or by calculation using  n!/k!(n-k)!

Homework:

  • Page 214: Ex 14.4.1, 14.4.2, 14.4.4, 14.4.5, 14.4.6
  • Page 216: Ex 14.8 (e), 14.9, 14.10, 14.11

Other Resources:

Something Else:

Next week we are going to have our final exam. (Ch 1-6 counts 30%, Ch 7-14 counts 70%). Please be prepared.