接学校通知，2月9日继续停课，改为4月19日补课。欢迎各位家长去学校网站subscribe The NCLS Newsletter，以方便在第一时间收到学校通知。
非常时期，Take care!
https://mailchi.mp/e569cf6da705/ncls-newsletter-recruitment-notice-4745105?e=81d19efa09
No School 2/9
lilijia Post in AoPS_Number_Theory, SAT math，
06
February
2020
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2/2 AoPS_Number Theory Brain Stretcher
lilijia Post in AoPS_Number_Theory，
01
February
2020
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Dear students and parents,
Here is the Brain Stretcher worksheet for you to work with this weekend. Some may be new to you, some functions as a review. Please feel free to reach out if you have any questions.
Take care in this special season!
Best,
Lijia
2/2 SAT Math Practice
lilijia Post in SAT math，
01
February
2020
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Dear students and parents,
Here is the file of 20 SAT Math Sample questions to practice at home this weekend.
Take care in this special season!
Best,
Lijia
AoPS_Number_Theory 2020 Spring Week 1: Integer
lilijia Post 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:
- https://www.khanacademy.org/math/pre-algebra/pre-algebra-factors-multiples/pre-algebra-divisibility-tests/v/divisibility-tests-for-2-3-4-5-6-9-10
- https://artofproblemsolving.com/wiki/index.php/Divisibility
- https://en.wikipedia.org/wiki/Divisor
- https://blog.rinatussenov.com/useful-math-divisibility-signs-fbc08baf20c6
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 Post 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.
- …
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:
No school next Sunday. Happy Lunar New Year! See you on 2/2！
SAT-Math Week 15: Final Exam
lilijia Post 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 Post 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 Post 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 Post in SAT math，
06
January
2020
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SAT-Math Week 14: Lines
Lesson Review:
- forms of linear equations
- Slope
- Parallel lines and perpendicular lines
- vertical line and horizontal line
Homework: Chapter 13 Exercise (Page 108-110)
Other Resources:
- https://www.mathsisfun.com/algebra/linear-equations.html
- https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs
- http://tutorial.math.lamar.edu/Classes/Alg/SolveLinearEqns.aspx
- https://www.mathplanet.com/education/algebra-1/how-to-solve-linear-equations
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 Post 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:
- https://www.mathsisfun.com/algebra/binomial-theorem.html (highly recommended to read this one!)
- https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:polynomials/x9e81a4f98389efdf:binomial/v/binomial-theorem
- https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:polynomials/x9e81a4f98389efdf:binomial/v/coefficient-in-binomial-expansion
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.