SAT Math Final Exam

lilijia Post in SAT math，
14 June 2020
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Today we held our first online final exam. Thanks to Google Form, students can get their grades soon after turning in the paper:)

Please review and let me know the problems you would love to discuss in our next Sunday class.

No homework this week. Just relax, and enjoy the lovely summer!

AoPS Number Theory Ch.15 Number Sense

lilijia Post in AoPS_Number_Theory，
14 June 2020
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Lesson review
Problem Solving Strategies:

  • change the forms of numbers
  • understand different solutions/methods
  • parity considerations (modulo 2)
  • narrow your search to a small list
  • use clues to gather enough information to solve the problem

Homework:

Page 297-299

Ex.15.22, 15.24, 15.28, 15.31, 15.34, 15.35, 15.40, 15.44,  15.48, 15.49, 15.56, 15.61

Prepare for the final exam next week!

  • (Login to Google Classroom at 12:20 pm–the test paper will be released then).
  • Print them out, and do it in our Zoom class — keep your camera on all the time (test will end at 1:50 pm. Make sure you turn in it by 2:00 pm)

Get well prepared and Good luck!

SAT Math Ch.28 Volume

lilijia Post in SAT math，
07 June 2020
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Lesson review:

Congratulations to Julia, Kevin, and Phoebe in the Kahoot! game about Volume:)

Homework:

1. Finish Chapter 28 Exercise (Page 251-253)
2. Finish Khan Academy Practice (5 problems)
3. Prepare for final exam next week.

The test paper will be released at 3:30 pm on 6/14, in Google Classroom. You can either print it out or read it on another device. During our exam (3:40-5:00), you should keep your camera on. Please type your answer in the given Google Form, and your score will be automatically graded after you turn in.

Section 1: 25 min, no calculator.

Section 2: 55 min. Calculator allowed.

Good luck, and see you next Sunday!

AoPS Number Theory: Ch. 14(II) Linear Congruences

lilijia Post in AoPS_Number_Theory，
07 June 2020
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Lesson review:

  • a linear congruence equation
  • an inverse: b*b^(-1) is congruent to 1 (mod m)
  • only if gcd (m,r)=1, otherwise r has no reverse modulo m.
  • if ak is congruent to bk (mod mk), then a is congruent to b (mod m)
  • if ac is congruent to bc (mod m), then a is congruent to b (mod m/gcd(m,c))
  • many remainder problems are just linear congruences.

Extra Resource

Homework

  • Pg. 270 Ex.14.3.1, 14.3.3, 
  • Pg. 275 Ex.14.4.1, 14.4.4, 14.4.5
  • Pg. 278 Ex. 14.20, 14.27, 14.29  to 14.31

Feel free to reach out if you have any questions in this Chapter. We will learn Ch.15 next Sunday, and have our final exam on 6/21.

Make sure you study hard and start your review as early as possible:)

SAT Math Ch.27 Statistics (II)

lilijia Post in SAT math，
31 May 2020
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Lesson review:

  • the sample mean vs population mean
  • sample size vs population size
  • interpretation of the slope and y-intercept
  • confidence interval = (average-margin of error) to (average-margin of error)
  • the margin of error depends on a) sample size and b) variability in the data
  • standard deviation
  • association (correlation)≠ causation
  • random assignment

Homework:

1. Finish Chapter Exercise Page 243-248
2. Finish the Google Form (SAT Math Practice: Statistics) if you didn’t have a chance to do it last week.
3. Review and prepare for our final exam on 6/14 🙂

Feel free to let me know which questions (in previous chapters are OK), and I will explain those in class:)

AoPS Number Theory Ch.14(I) Linear Congruences

lilijia Post in AoPS_Number_Theory，
31 May 2020
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Sorry about the technical issue that I could not connect my iPad to Zoom in class today. Later on, I downloaded the newest version of Zoom and was able to do it. Here are the screenshots of the problems on my “TinyBlackboard”. I hope everyone got a clear understanding of the first part of Ch.14.

Lesson Review:

  • an inverse: b*b^(-1) is congruent to 1 (mod m)
  • only if gcd (m,r)=1, otherwise r has no reverse modulo m.

Extra Resource:

Homework:

  • P260 Problem 14.1-14.5
  • P264, Ex 14.2.1-14.2.3

Plan for the following weeks:

  • 6/7: Ch.14 (II)
  • 6/14: Ch.15
  • 6/21: Final Exam

SAT Math Ch.26 Statistics I

lilijia Post in SAT math，
17 May 2020
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Congratulations to Austin, Sarah, Emma, Phoebe, and Tina on the Kahoot! Game!

Lesson review:

Extra resource:
-https://youtu.be/zjHfAhcU6kE

-https://www.khanacademy.org/math/probability/data-distributions-a1/summarizing-spread-distributions/v/range-variance-and-standard-deviation-as-measures-of-dispersion

Homework:

Chapter Exercise Pg.230-235

Google Form in Google Classroom (26 questions in total)

No school next week:) See you all on May 31st!

AoPS Number Theory Ch.13 Divisibility Rules

lilijia Post in AoPS_Number_Theory，
17 May 2020
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Congratulations to Jason, Julia, Alex, Susan, and Gioia on the Kahoot! Game today:)

Lesson review:

  • Let m be a nonnegative integer. Every nonnegative integer is congruent modulo 2^m, modulo 5^m, and modulo 10^m to its last m digits.
  • Every nonnegative integer is congruent modulo 3, modulo 9 to the sum of its digits.
  • Every nonnegative integer is congruent modulo 11 to the alternative sum of its digits.
  • 2n⇋units digit is even
  • 5n⇋units digit is 5 or 0
  • 10n⇋units digit is 0
  • k*2^m ⇋ its last m digits themselves form an integer that is a multiple of 2^m
  • k*5^m ⇋ its last m digits themselves form an integer that is a multiple of 5^m
  • k*10^m ⇋ its last m digits are all 0.
  • 3n⇋ the sum of its digit is 3k
  • 9n⇋ the sum of its digit is 9k
  • 11n⇋ the alternating sum of its digit is 11k

Extra Resource:

  • Divisibility rules for 2-12
  • Divisibility rule for 11
  • Divisibility rule for 9

Homework:

  • Pg. 252 Ex.13.2.1 (a,c), 13.2.2(c,f), 13.2.3(a,f), 13.2.4
  • Pg. 255 Ex.13.3.2, 13.3.4, 13.3.6
  • Pg. 257 Ex. 13.15 to 13.19, 13.25

No School next week. Enjoy the Memorial Day Holiday, and see you all on May 31st!

SAT Math Ch.25 Probabilities

lilijia Post in SAT math，
11 May 2020
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Congratulations to Irene, Ellen, and Tina for being Top 3 in our “just for fun” Kahoot! game, followed by Emma and Kevin as well:)

Lesson Review

How to solve probabilities problems in SAT Math:

  • read the question, underline the keywords/phrases
  • pick the target numbers
  • write the equation: probability = # of target outcomes/ # of total outcomes
  • check your answer

Homework

Last but not least,

Happy Mother’s Day to all our dear moms ^_^

AoPS Number Theory Ch.12 Intro to Modular Arithmetic

lilijia Post in AoPS_Number_Theory，
11 May 2020
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Lesson review

Summary

  • Modular system, modulus m, residue r
  • r is the modulo-m residue of n when n\equiv r (mod m) and  0<= r < m
  • congruent or equivalent modulo m
  • The integers congruent to r modulo m make up a residue class (congruence classes or equivalence classes).

Extra Resource

Homework

  • p.221 Ex.12.2.1 (i,j,k,l), 12.2.3, 12.2.6
  • p.224 Ex.12.3.1, 12.3.2 to 12.3.4(a,c,e,f)
  • p.230 Ex.12.4.1 (a,c,e,f),12.4.2, 12.4.4
  • p.236 Ex.12.5.1(a,c,e,f), 12.5.2, 12.5.5
  • p.239 Ex.12.6.2(a), 12.6.5
  • p.242 Ex.12.26

Sorry that we have so much information for this chapter 🙁 Please feel free to reach out if you have any questions. See you next Sunday!

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