Summary:

We took the Midterm Exam today — another practice SAT test.

Congratulations to Austin, Marina, Danielle, and Irene for making 700+ this time! (Kevin and Sarah were not here today). Also, it is so nice to see each student’s progress compared to their pre-test!

Homework:

1. Please make corrections to section 1 (we will hand out section 2 when we meet next week).

2. Finish #multiples of 3 on Page 57.

3. Preview Chapter 7: Constructing Models.

Errata (SAT Math: The Advanced Guide and Workbook)

Chapter 3 Exponential vs. Linear Growth, #3 (pg. 26): The answer explanation on page 260 has a typo. The rate should be $1-0.06=0.94$.

Chapter 7 Constructing Models, #1 (pg. 47): The question should read “… and then lays \dfrac{x}{2}2x​ bricks per hour for $2y$ more hours.”

Chapter 21 Triangles, #14 (pg. 184): The diagram is drawn incorrectly, though it’s hard to tell. The diagram should be drawn so that triangle $ABC$ is similar to triangle $DEF$ (and the sides should correspond).

Chapter 23 Trigonometry, #12 (pg. 207): The answer explanation on page 310 has a typo. In quadrant III, sine and cosine are both negatives (not positive).

Chapter 25 Probability, #10 (pg. 223): The first sentence of the question should read “A manufacturer uses two assembly lines to produce refrigerators.”

Please make those changes in the textbook 🙂 Thank you! See you all next week!

I am glad to see that each of our students is working hard in this class!! Proud of you!

Lesson review_Chapter 6 Expressions

1. Combine like terms

2. Expansion and factoring

3. Combining fractions (find the common denominator)

4. Flipping (dividing) fractions

5. Splitting fractions

Homework:

1. Chapter Exercise: Page 44 Ex 1-13

2. Bonus Question

3. Make corrections to previous work, review, and get ready for the Midterm Exam on 10/27. We will have another practice test. Please bring your calculator (for section 2).

See you soon! Stay on the right track, and keep up the good work!

Chapter 5: Rates Lesson Review:

Today we went through the example problems in the textbook and discussed the worksheet that we did last week.

Good job, students! (We miss you, Julia~~) Thank you, Michelle!!

Some formulas:

distance = rate (speed) * time, or rate = distance/time.

Pay attention to the conversion of units:

changing from one unit of measurement to another requires using a fractional conversion factor that tells the relationship between the two units so that like units cancel as in:

2 miles = 2 miles * 5280 feet/mile (conversion factor miles to feet) = 10560 feet

Homework:

• Page 35-38: Chapter 5 Exercises
• Correction of Worksheet 2 (ratio and rates problems)

See you next Sunday!

Unit 4: Proportion (Page 29-32)

This week we went through the homework for Unit 3 and made corrections in class. Thanks to our great TA Michelle for checking for us, and explaining the problems!

We learned Unit 4: Proportion.

Thanks to each of the students for contributing to the discussions!

Please focus on the relationships between length (1D), area (2D), and volume (3D) [Exam prep tips: to catch the key point, and “skip” the other “unrelated information”, can save us time in solving the problems]

• length: a
• area: a^2
• volume: a^3

Homework: Worksheet

Next week is a long weekend. If you are not coming to school, please let me know:) Thank you!

SAT Math Week 4

Chapter 3: Exponential/Linear Growth/Decay

Sorry that I got sick and was not able to speak loud today. Thanks to my great little TA — Michelle Zhang who did an excellent job in facilitating the class, and all the students: this is a great cohort that every single member works hard and contributes to the math problem-solving! (Sorry, not everyone is in this picture. Next time let’s make sure no one is missed :P)

Here is the lesson review:

Sorry, there is a typo in today’s worksheet. Question 4 should be “f = a∙b^x”, instead of “f = ax^b”. Thank you, Michelle, for pointing it out!!

For the two absent students, I have sent the worksheet (homework) to the email address in the school system. Please print it out and finish it by next Sunday. —- Also I will appreciate it very much if you could let me know that you will not be able to come to the class:)

Extra resources:

https://www.albert.io/learn/sat-math/linear-and-exponential-growth/linear-and-exponential-growth-26?page=1

See you next week! We will move forward to Chapter 4: Proportion then!

Please feel free to let me know if you have any questions/suggestions/feedback! Thank you!

Lijia

It is such a pleasure to work with this group! Each of the 10 students did a fantastic job today in contribution to the class discussion and demonstration of your work on the whiteboard!

First of all, thanks to Kevin, Irene, Julia, Marina, Angus, Austin, and Danielle for bringing your corrections to the pretest! I will continue to check the corrections next week:)

Congratulations to Julia, Ellen for getting all 15 problems right on the homework, followed by Emma (14/15), Irene and Danielle (13/15)! Keep up the good work, everyone! Practice makes perfect 🙂

I also appreciate how Sarah and Ellen explained the examples in class (loud, and confident), and how Marina and Julia reached out for questions. I firmly believe that this class of students have a great potential to learn and I look forward to seeing all your progress week by week!

Lesson Review:

Simple Interest: A = P (1+r% * t)

Compound Interest: A = P (1+r%/n) ^nt

Percent of change = (new value – old value )/old value * 100%

*for problems such as “how many percents is A greater/less than B”, we always choose B (the one after the word “than”) as the benchmark (what you compare with), and put b into the denominator.

Homework:

1) Finish Pretest Corrections if you have not finished all of them (use different colors, show the steps/procedures)

2) Corrections to Chapter 1 Exercises (use different colors, show the steps/procedures)

2) Finish the rest part of Chapter 2 Exercises (Page 20-22)

* If you have an incoming SAT test, please feel free to let me know. I will give you extra support (some sample test papers, some tips to prepare the exams and so on).

Last but not least, many thanks to Michelle, my great TA, for checking all the homework and explain the problems!

See you next Sunday!

09/15 Week 2: Exponents and Radicals

Agenda: 

1. pre-test review and comments
2. check: textbook, notebook, folder
3. Chapter 1:  Exponents & Radicals

Lesson review:

Laws of exponents:

Homework:

1. Make corrections to Pre-test 1 (bring it to school next week)
2. Finish Chapter Exercise (Page 13-15): show the procedures of work

Extra online resource:

1. https://www.albert.io/learn/sat-math/radical-and-rational-exponents
2. https://www.varsitytutors.com/sat_math-help/exponents/algebra/squaring-square-roots-radicals

Lesson Review:

-Introduction

• Course Description + Expectations to students
• Teaching Schedule

-Pretest (2018 April SAT)

• Session 3: 35 min, no calculator. 20 problems.
• Session 4: 55 min, calculator allowed. 38 problems.

Please do not be scared by the Pretest.  (It is to help me get a better understanding of which content I should focus on for this year’s teaching). No score was given to any student. I record the percentage of correct answers for each problem:)

However, if you want to calculate/estimate how much you can get in this Pre-test, here is the raw score conversion table:

A low score may be disappointing today, but shows a greater space for improvement 😛

I firmly believe that we will achieve a lot if we keep on working hard +working wisely 🙂

Homework:

– Scanvenger Hunt: Fill in the blanks of “Expectations to students”

– Prepare the textbook https://www.amazon.com/gp/product/0989496422/ref=ox_sc_act_title_1?smid=ATVPDKIKX0DER&psc=1

– Join in Wechat Group 

– Bring notebooks, pens, calculators, and yourself to the class next Sunday 🙂

Note that due to the increased enrollment size, we will move to a bigger classroom next week. Please stay tuned.

See you!

SAT math teaching schedule 2019-2020