Dr. Shen’s Math Classes for Kids

Summer & Fall 2026

 

Instructor: Z.Shen, Ph.D. in Mathematics

Location:  Carmel, Indiana.  

Email: ShenMathClass@gmail.com

Wechat:shen_at_iupui

 

 

Url: https://sites.google.com/view/mathshen

How to study math:

https://www.youtube.com/watch?v=fgNaIWzBRGY&t=16s

This is a lecture given by me  in Chinese. In this lecture, I  will tell parents the importance of learning math and how to prepare their kids to learn math in middle and high school.

 

 

Instruction for Registration: Please enter your child's full name and any email address you can view it weekly. I will contact parents via the registered email addresses. Please bookmark the classroom room link in the confirmation email so that your child can enter the classroom without entering his name again in the future. Your child can register for a class in advance and feel free to withdraw before the 2nd lesson without any charge. The password to the classroom will be added after the first lesson.

 

Tuition and Payment Methods: The fee for a typical 15 lesson course is $300, paid to Z. Shen by Zelle or paypal using the following email address: ShenMathClass@gmail.com. Please mention your child’s full and the class name in the memo. If your child drops the class later, please notify me by email and I will refund the remaining fee. 

 

 Summer 2026 (May-June)



Basic Math

For 5th-6th graders

Date/Time: Wednesday & Saturday: 5:30P-6:30P. 5/2-7/1

5/2, 5/9, 5/16, 5/23, 5/27, 5/30, 6/3, 6/6, 6/10, 6/13, 6/17, 6/20, 6/24, 6/27, 7/1

Registration Link: https://iu.zoom.us/meeting/register/FQ0QEaaVROSOJRqY4YOWmA

Tuition $300

The course is suitable for 5th-6th graders and it consists 15 lessons. By introducing new and abstract concepts in mathematics, I shall prepare them for Prealgebra in this fall. If the student does extremely well in this course, he can enroll in the Advanced Math course in August.

1.      Fractions

2.      Linear Equations I

3.      Linear Equations II

4.       Problems on Numbers I

5.       Problems on Numbers II

6.       Percentage Problems

7.      Rectangles

8.      Triangles

9.      Circles

10. Inequalities

11. Polynomials

12. Coordinate Geometry

13. Soid Geometry

14. Counting

15. Probability

 

 

PreCalculus (Algebra 2)

For 8th-10th graders

 

Date/Time: Thursday & Sunday: 7:00P-8:00P.  5/17-6/28

5/17, 5/24, 4/27,  5/31,  6/3, 6/7, 6/10, 6/14, 6/17, 6/21, 6/24, 6/28

Registration Link: https://iu.zoom.us/meeting/register/JJqDT1OlRMCRntnbAaGzpg


            Tuition:$240 


Topics

Lesson 1. Exponents, Radicals and Polynomials

Lesson 2. Polynomials and Fractional Expressions

Lesson 3. Equations and Quadratic Equations

Lesson 4. Applied Problems and Inequalities

Lesson 5. Coordinate Systems,  Graphs of Equations and Lines

Lesson 6. Functions

Lesson 7. Polynomials

Lesson 8. Complex and Rational Zeros, Rational Functions

Lesson 9. Inverse Functions and Exponential Functions

Lesson 10. Logarithmic Functions

Lesson 11: Review

Lesson 12: Review

 

 

 

AMC8-Mathcounts

Course Description: This course is for 7th-8th graders who have completed my Advanced Math course and need more practice for MATHCOUNTS. I will discuss various problems selected from Mathcounts Sprint Round, mostly focused on Geometry,  Number Theory and Probability. This course is geared for students who continue to enhance their problem solving skills. After each lesson, students will receive my lecture notes and a set of previous Mathcounts. No textbook is required.

 

Date/Time: Saturday 7:00P-8:00P, March 21-June 27.

Registration Link: https://iu.zoom.us/meeting/register/ar35akb7TA-rlFii282izw


Topics

Part I (Number Theory & Algebra) March 21-May 9

1.      Number Theory I

2.      Number Theory II

3.      Number Theory III

4.      Algebra 1

5.      Algebra 2

6.      Algebra 3

 

Part II (Geometry & Probability) May 16-June 27, tuition $120

7.      Geometry I

8.      Geometry 2

9.      Geometry 3

10.    Counting 

11.    Probability 1

12.    Probability 2





Fall 2026, August-December


 

Elementary Math I for 4th-5th graders

Saturday 9:00A-10:00A, Eastern Time, August 8-Dec 5, 2026

Registration Link: https://iu.zoom.us/meeting/register/WMJq2KIuRP2HvSnsVqjelw

 

 

PreAlgebra I for 5th-6th graders

Saturday 5:30P-6:30P, Eastern Time,  August 8-Dec 5, 2026

Registration Link: https://iu.zoom.us/meeting/register/EyusTJWwQDa3GoWNEVQO0Q

 

 

Advanced Math I  for 6th-8th graders

Saturday 7:00P-8:00P, Eastern Time, August 8-Dec 5, 2026

Registration Link: https://iu.zoom.us/meeting/register/9ywJx_dFQZ-74ddfv-k8VA

 

 

AMC10 (Geometry and Probability)

Sunday 7:00P-8:00P,  Eastern Time, August 2-Nov 15

Registration Link: https://iu.zoom.us/meeting/register/cvrsU0L-S5aW0-4s5uebLQ

 

 

 

Note: I might add a course if needed. Your child can always take my pre-recorded courses.

 

 

Elementary Math Class

4th-5th graders

The purpose of this course is to improve student’s critical thinking skill.

By focusing on improving students’ critical thinking skills, I will  equip them with a valuable lifelong skill. By training students to study math problems in multiple ways, I  encourage creativity and analytical thinking, providing exercises for practice after each lesson helps reinforce their understanding and allows them to apply what they have learned. The inclusion of lecture notes will also be helpful for students to review and refer back to. No textbook is required.  The course materials have been thoughtfully prepared and tailored to the needs of the students in a concise manner. Overall, it is a well-structured and engaging course for 4th-5th graders.

 

Instructor: Dr. Shen

Email: ShenMathClass@gmail.com

 

Elementary Math I

Saturday 9:00A-10:00A, Eastern Time, August 8-Dec 5, 2026

Registration Link: https://iu.zoom.us/meeting/register/WMJq2KIuRP2HvSnsVqjelw

 

 

1. Finding missing numbers

2. Determining patterns

3. Sequences I.

4. Sequences II

5. Addition and Subtraction

6. Division and Multiplication

7. Solving Equations I

8. Solving Equations II

9. Word Problems I

10. Word Problems II

11. Word Problems III

12. Word Problems IV

13. Patterns and Counting Problems

14. Counting Problems I

15. Counting Problems II

 

 

 

Elementary Math II

Date/Time: Spring 2027

Registration Link:

 

 

16. Average Values

17. Algebraic Operations

18. Rates

19. Speed Problems

20. Age Problems

21. Word Problems V

22. Word Problems VI

23. Word Problems VII

24. Finding the Original Values

25. Finding missing digits I

26. Finding missing digits II

27. Inverse problems

28. Set Theory

29. Basic Geometry 

30. Logic deduction

 

Prealgebra

(AoPs series)

5th-6th graders

 

Course Description: This is a comprehensive course for 5th-6th graders! By covering algebra, number theory, geometry, and probability, students will gain a solid foundation in various mathematical topics. The course being spread over two semesters allows for a more in-depth exploration of these concepts. It’s great to see students being exposed to a diverse range of math disciplines at an early age.

 

Textbook: Prealgebra

Authors: Richard Rusczyk, David Patrick and Ravi Boppana

 

Instructor: Dr. Shen

Email: ShenMathClass@gmail.com

 

PreAlgebra I for 5th-6th graders

Saturday 5:30P-6:30P, Eastern Time,  August 8-Dec 5, 2026

Registration Link: https://iu.zoom.us/meeting/register/EyusTJWwQDa3GoWNEVQO0Q

 

 

1. Addition and Multiplication

2. Reciprocals and Division

3. Exponents I

4. Exponents II

5. Multiples, Divisibility and Primes. https://www.youtube.com/watch?v=BzMkTh3q_8A

6. Prime Factorization

7. Divisors

8. Fractions I

9. Fractions II

10. Fractions III

11. Linear Equations. https://www.youtube.com/watch?v=8ztcOl9uRYo

12. Word Problems and Inequalities.

13. Decimals

14. Ratios, Conversions, and Rates

15. Proportions and Rates

 

PreAlgebra II

Date/Time: Saturday  5:30P-6:30P, Eastern Time, Spring 2027

Registration Link:

 

16. Percent Problems I

17. Percent Problem II

18. Square Roots

19. Angles

20. Angles in Polygons

21. Measuring Segments and Regions

22. Areas of Triangles and Circle

23. The Pythagorean Theorem https://www.youtube.com/watch?v=3e_BW6T-AnI

24. The Pythagorean Theorem and Quadrilaterals

25. Basic Statistics

26. Data and Statistics

27. Counting I

28. Counting II

29. Probability I

30. Probability II

 

 

Advanced Math Class

6th-8th graders

 

Course Description:  This is a comprehensive math curriculum for 6th-8th graders. I shall teach math systematically by covering each topic thoroughly,. providing exercises and lecture notes after each lesson to help reinforce understanding and allow students to practice independently.  Some problems discussed in class and in homework are  from math contests and competitions like AMC8. This will push students’ problem-solving skills. The course covers the materials in the AoPs book series: Introduction to Algebra; Introduction to Number Theory; Introduction to Geometry; Introduction to Counting & Probability.

 

Instructor: Dr. Shen

Email: ShenMathClass@gmail.com

 

Advanced Math I  (Algebra and Number Theory)

Saturday 7:00P-8:00P, Eastern Time, August 8-Dec 5, 2026

Registration Link: https://iu.zoom.us/meeting/register/9ywJx_dFQZ-74ddfv-k8VA

 

 

 

1. Computing Numbers

2. Linear Equations

3. Word Problems I

4. Word Problems II

5. Linear Systems

6. Algebraic Expressions

7. Quadratic Equations

8. Inequalities I

9. Inequalities II

10. Problems on Numbers I

11. Problems on Numbers II

12. Problems on Number III

13. Sequences I

14. Extremum Problems

15. Word Problems III

 

 

Advanced Math Class II (Geometry & Probability)

Date/Time: Saturday, 7:00P-8:00P, Spring, 2027

Registration Link:

 

16. Coordinate Geometry

17. Angles in triangles and polygons

18. Similarity of Triangles

19. Areas of rectangles and triangles

20. Area Comparison of Triangles

21. Pythagorean Theorem 

22. Application of Pythagorean Theorem

23. Circles I

24. Circles II

25. Solid Geometry I

26. Solid Geometry II

27. Counting Techniques I

28. Counting Techniques II

29. Probability I 

30. Probability II

 

 

Competition Math (AMC10)

8th-10th graders

 

Course Description:  This is a well-structured course for 8th-10th graders interested in challenging math and preparing for the AMC10. By discussing previous contest problems, students will benefit from a practical approach to learning math systematically. Splitting the course into two semesters, with a focus on algebra in the first semester and geometry, number theory, and probability in the second semester, allows students to develop a strong foundation in each topic area. This course design will help students build the necessary skills and knowledge to excel in the AMC10 and beyond.

 

 

Instructor: Dr. Shen

Email: ShenMathClass@gmail.com

 

AMC10  (Algebra and Number Theory)

Date/Time:  Spring 2027

Registration Link:

 

Lesson 1. Algebraic Simplification

Lesson 2. Ratios and Proportions

Lesson 3. Percentage Problems

Lesson 4. Factoring Methods

Lesson 5. Word Problems – Distance and Speed

Lesson 6. Quadratic Equations

Lesson 7. Equation Solving Skills

Lesson 8. System of Equations \        

Lesson 9. Sum and Products of Roots

Lesson 10. Character of Digits

Lesson 11. Divisibility

Lesson 12. Primes

Lesson 13. Factors and Divisors

Lesson 14. Exponents

Lesson 15. Arithmetic and Geometric Sequences

 

AMC10 (Geometry and Probability)

Date/Time: Sunday 7:00P-8:00P,  Eastern Time, August 2-Nov 15

Registration Link: https://iu.zoom.us/meeting/register/cvrsU0L-S5aW0-4s5uebLQ

 

 

Lesson 1. Pythagorean Theorem I

Leeson 2. Pythagorean Theorem II

Lesson 3. Triangle Area

Lesson 4. Similar Triangles

Lesson 5. Circles

Lesson 6. Angle Bisector and Median

Lesson 7. Solid Geometry

Lesson 8. The mass point method 

Lesson 9. Coordinate Geometry I –Lines

Lesson 10. Coordinate Geometry II-Circles

Lesson 11. Mean, Median, Mode and Range

Lesson 12. Counting by Permutations and Combinations

Lesson 13. Counting – Balls and Boxes

Lesson 14. Counting with Geometric Figures

Lesson 15. Probability

 

 

 

 

 

 

 


 

Pre-Recorded Courses

 

 

Students have the opportunity to enroll in pre-recorded courses and learn at their own pace. They can access recorded lectures and download homework materials through the Google Classroom platform. To register your child for a pre-recorded course, kindly send an email to ShenMathClass@gmail.com. In the subject line of the email, please write “course title, pre-recorded”. This will help ensure the successful enrollment of your child.

 

Elementary Math Class

 Pre-recorded Course

4th-5th grades

The purpose of this course is to improve student’s critical thinking skill.

By focusing on improving students’ critical thinking skills, I will  equip them with a valuable lifelong skill. By training students to study math problems in multiple ways, I  encourage creativity and analytical thinking, providing exercises for practice after each lesson helps reinforce their understanding and allows them to apply what they have learned. The inclusion of lecture notes will also be helpful for students to review and refer back to. No textbook is required.  The course materials have been thoughtfully prepared and tailored to the needs of the students in a concise manner. Overall, it is a well-structured and engaging course for 4th-5th graders.

 

 

Instructor: Dr. Shen

Email: ShenMathClass@gmail.com

 

Elementary Math I

 

31. Finding missing numbers

32. Determining patterns

33. Sequences I. https://www.youtube.com/watch?v=2basjDJivcI

34. Sequences II

35. Addition and Subtraction

36. Division and Multiplication

37. Solving Equations I

38. Solving Equations II

39. Word Problems I. https://www.youtube.com/watch?v=YPJ2DQNBexk

40. Word Problems II

41. Word Problems III

42. Word Problems IV

43. Patterns and Counting Problems

44. Counting Problems I

45. Counting Problems II

 

Elementary Math II

 

46. Average Values

47. Algebraic Operations

48. Rates

49. Speed Problems

50. Age Problems

51. Word Problems V

52. Word Problems VI

53. Word Problems VII

54. Finding the Original Values

55. Finding missing digits I

56. Finding missing digits II

57. Inverse problems

58. Set Theory

59. Basic Geometry  https://www.youtube.com/watch?v=zs9XPwhw4a8

60. Logic deduction

 

Basic Math

Pre-recorded Course

Equivalent to  AOPS’ PreAlgebra

 

Course Description: The course is suitable for 5th-6th graders and runs through two semesters. By introducing new and abstract concepts in mathematics, I shall challenge your students and prepare them for more advanced math topics.

I will provide exercises and lecture notes after each lesson. This will allow students to practice the concepts they’ve learned and refer back to my notes for reinforcement. Enhancing students’ basic math knowledge and abstract thinking during the 5th-6th grade stage will definitely help them build a solid foundation for studying advanced math in middle school and participating in math contests later on.

 

 

     Topics

1. Fractions I

2. Fraction II

3. Linear Expressions

4. Linear Equations I.

5. Linear Equations II

6. Factors and Divisibility of Numbers

7. Problems on Numbers

8. Percentage Problems I

9. Percentage Problems II

10. Rectangles

11. Triangles  

12. Circles I

13. Circles II

14. Inequalities

15. Polynomials

16. Fractional Expressions

17. Square Roots

18. Solving Linear Algebraic Equations

19. Coordinate Geometry I

20. Coordinate Geometry II

21. Solid Geometry I

22. Solid Geometry II

23. Counting Techniques I

24. Counting Techniques II

25. Probability I

26. Probability II

27. Mathcounts 1

28. Mathcounts 2

29. Mathcounts 3

30. Mathcounts 4

                

AMC8 for beginners

Pre-recorded Course

6th graders

 

This course is designed for students who have either completed my PreAlgebra Class or will enter 7th grade in the upcoming fall. The lectures will cover various topics including Number theory, Geometry, and Probability, amongst others. The problems to be discussed in class will be specifically selected from previous Mathcounts contests, focusing on the countdown part. Each week, students will receive one set of Mathcounts countdown consisting of 80 problems as their homework. These practice problems will help reinforce the concepts covered in class and further develop the students’ math skills. By the end of the course, students should be well-prepared to proceed to the Advanced Math class. If you have any further questions or would like additional information, please don’t hesitate to ask.

 

 

Topics

 

Lesson 1. Number Theory 1

Lesson 2. Number Theory 2

Lesson 3. Number Theory 3

Lesson 4. Number Theory 4

Lesson 5. Algebra 1: Equations

Lesson 6. Algebra-2: Word Problems

Lesson 7: Algebra-3:  Linear Equations and Lines

Lesson 8. Algebra-4. Word Problems

Lesson 9. Geometry 1

Lesson 10. Geometry II

Lesson 11. Geometry III

Lesson 12. Geometry VI

Lesson 13. Probability I

Lesson 14. Probability II

Lesson 15 Review

 

 

 

Advanced Math Class

Pre-recorded Course

6th-8th graders

 

Course Description:  This is a comprehensive math curriculum for 6th-8th graders. I shall teach math systematically by covering each topic thoroughly,. providing exercises and lecture notes after each lesson to help reinforce understanding and allow students to practice independently.  Some problems discussed in class and in homework are  from math contests and competitions like AMC8. This will push students’ problem-solving skills.

 

Instructor: Dr. Shen

Email: ShenMathClass@gmail.com

 

Advanced Math Class I (Algebra & Number Theory)

 

1. Computing Numbers

2. Linear Equations

3. Word Problems I

4. Word Problems II

5. Linear Systems

6. Algebraic Expressions

7. Quadratic Equations

8. Inequalities I

9. Inequalities II

10. Problems on Numbers I

11. Problems on Numbers II

12. Problems on Number III

13. Sequences I

14. Extremum Problems

15. Word Problems III

 

 

Advanced Math Class II (Geometry & Probability)

 

16. Coordinate Geometry

17. Angles in triangles and polygons

18. Similarity of Triangles

19. Areas of rectangles and triangles

20. Area Comparison of Triangles

21. Pythagorean Theorem 

22. Application of Pythagorean Theorem

23. Circles I

24. Circles II

25. Solid Geometry I

26. Solid Geometry II

27. Counting Techniques I

28. Counting Techniques II

29. Probability I 

30. Probability II

 

 

Competition Math (AMC8)

Geometry and Probability only, 12 Lessons

Pre-recorded Course

6th-8th graders

 

Course Description: This course offers an intensive focus on geometry and probability, specifically tailored to prepare students for the challenging problems encountered in AMC8/Mathcounts competitions. A strong foundation in pre-algebra is essential for success in this course.

 

Students will benefit from comprehensive lecture notes and a curated set of exercises following each lesson. These exercises are designed to reinforce understanding and mastery of key concepts in geometry and probability, ensuring students are well-prepared for competition-level problem-solving.

 

 

Instructor: Dr. Shen

Email: ShenMathClass@gmail.com

 

Topics

 

1.    Geometry

1.1  Pythagorean Theorem

1.2  Circles.

1.3  Area

1.4  Similarity

1.5  Three-Dimensional Geometry

1.6  Review on Geometry

 

2.    Probability

2.1  Probability Basics

2.2  Compound Events ad Counting

2.3  Casework and Probability

2.4  Probability and Combinations

2.5  Complementary Counting and Probability

2.6  Geometric Probability

 

 

 

Competition Math (AMC8)

(Complete Course, 40 Lessons)

Pre-recorded Course

6th-8th graders

 

Course Description:

This course is designed for 7th-8th graders who have a strong interest in challenging mathematics. The material covered in this course goes beyond what is typically taught in a standard classroom. It is important for students to have a solid foundation in pre-algebra before enrolling in this course.

 

Throughout the course, students will be provided with lecture notes and a set of exercises after each lesson. By completing these exercises, students will have the opportunity to reinforce their understanding of the material.

 

Taking this course will greatly enhance students’ problem-solving skills and enrich their knowledge in elementary math. They will be able to tackle more advanced mathematical concepts and develop a deeper understanding of the subject matter.

 

 

Instructor: Dr. Shen

Email: ShenMathClass@gmail.com

 

 

Topics

 

3. Algebra

3.1  Variables and Equations

3.2  Linear Equations

3.3  Systems of Equations. https://www.youtube.com/watch?v=ritgnN7jqc4 

3.4  Ratios., Proportions ad Percents

3.5  Distribution

3.6  Quadratics

3.7  Exponents and Radicals

3.8  Statistics

3.9  Sequences and Series

3.10                More substitution

4. Counting

4.1  Basics

4.2  Venn Diagrams

4.3  Bowling Pins and Handshakes

4.4  Counting Outcomes

4.5  Casework

4.6  Factorials and Permutations

4.7  Combinations

4.8  Sticks and Stones

4.9  Pascal’s Triangle

5. Probability

5.1  Probability Basics

5.2  Compound Events ad Counting

5.3  Casework and Probability

5.4  Probability and Combinations

5.5  Complementary Counting and Probability

5.6  Geometric Probability

5.7  Expected Value

6. Number Theory

6.1  Primes and Divisibility

6.2  Factors

6.3  Factor Tricks

6.4  Different Bases

6.5  The Unit Digit

6.6  Fractions and Decimals

6.7  Modular Arithmetic

7. Geometry

7.1  Geometry Basics

7.2  Circles. https://www.youtube.com/watch?v=H11tukp-g_Q

7.3  Pythagorean Theorem

7.4  Area

7.5  Three-Dimensional Geometry

7.6  Similarity

7.7   Review

 

 

 

 

Challenge Math for MATHCOUNTS

Pre-recorded Course

(7th-8th graders)

 

 

Course Description: This course is for 7th-8th graders who have completed my Advanced Math course and need more practice for MATHCOUNTS. I will discuss various problems selected from Mathcounts, mostly focused on Geometry,  Number Theory and Probability. This course is geared for students who continue to enhance their problem solving skills. After each lesson, students will receive my lecture notes and a set of previous Mathcounts. No textbook is required.

 

PART I

 

Lesson 1. Algebra

Lesson 2. Problems on Numbers I

Lesson 3. Geometry I

Lesson 4. Problems on Numbers II

Lesson 5. Problems on Numbers III

Lesson  6. Problems on Numbers VI

Lesson 7.  Counting Techniques

Lesson 8. Problems on Numbers IV

Lesson 9. Geometry II

Lesson 10. Probability I

Lesson 11. Algebra II

Lesson 12. Coordinate Geometry

Lesson 13.  Problems on Numbers VI

Lesson 14. Geometry III

Lesson 15. Equations on Numbers

 

PART II

Lecture 1: Sequences

Lecture 2 Problems on Numbers I

Lecture 3. Equations on Numbers I

Lecture 4. Geometry I

Lecture 5. Equations

Lecture 6. Geometry II

Lecture 7. Problems on Numbers II

Lecture 8. Geometry III

Lecture 9. Problems on Numbers III

Lecture 10.  Problems on Numbers VI

Lecture 11. Geometry VI

Lecture 12. Counting Geometric Figures

Lecture 13. Probability I

Lecture 14. Probability II

Lecture 15. Probability III

 

 

Intermediate Algebra

(AoPs series)

Pre-Recorded Course

For 8th-10th graders

Course Description: The course is suitable for 8th-9th graders. Suppose that you have completed AoPS’ Introduction to Algebra , then much of the first four chapters will be review. I will just skip these four chapters. If you have not completed Introduction to Algebra, then you should have experience factoring quadratic expressions before starting this book. If you have completed a typical algebra 1 course, you may be ready for this text, but the first for chapter might not be review.

 

Textbook: Intermediate Algebra

Authors: Richard Rusczyk, Mathew Crawford

http://www.AOPS.com

Instructor: Dr. Shen

Email: ShenMathClass@gmail.com

 

 

Topics

 

 

Competition Math (AMC10)

8th-10th graders

Pre-Recorded Course

 

Course Description:  This is a well-structured course for 8th-10th graders interested in challenging math and preparing for the AMC10. By discussing previous contest problems, students will benefit from a practical approach to learning math systematically. Splitting the course into two semesters, with a focus on algebra in the first semester and geometry, number theory, and probability in the second semester, allows students to develop a strong foundation in each topic area. This course design will help students build the necessary skills and knowledge to excel in the AMC10 and beyond.

 

 

Instructor: Dr. Shen

Email: ShenMathClass@gmail.com

 

AMC10  (Algebra and Number Theory)

 

Lesson 1. Algebraic Simplification

Lesson 2. Ratios and Proportions

Lesson 3. Percentage Problems

Lesson 4. Factoring Methods

Lesson 5. Word Problems – Distance and Speed

Lesson 6. Quadratic Equations

Lesson 7. Equation Solving Skills

Lesson 8. System of Equations \        

Lesson 9. Sum and Products of Roots

Lesson 10. Character of Digits

Lesson 11. Divisibility

Lesson 12. Primes

Lesson 13. Factors and Divisors

Lesson 14. Exponents

Lesson 15. Arithmetic and Geometric Sequences

 

AMC10 (Geometry and Probability)

 

 

Lesson 1. Pythagorean Theorem I

Leeson 2. Pythagorean Theorem II

Lesson 3. Triangle Area

Lesson 4. Similar Triangles

Lesson 5. Circles

Lesson 6. Angle Bisector and Median

Lesson 7. Solid Geometry

Lesson 8. The mass point method 

Lesson 9. Coordinate Geometry I –Lines

Lesson 10. Coordinate Geometry II-Circles

Lesson 11. Mean, Median, Mode and Range

Lesson 12. Counting by Permutations and Combinations

Lesson 13. Counting – Balls and Boxes

Lesson 14. Counting with Geometric Figures

Lesson 15. Probability

 

PreCalculus (Algebra 2)

 

 

 

Lesson 1. Exponents, Radicals and Polynomials

Lesson 2. Polynomials and Fractional Expressions

Lesson 3. Equations and Quadratic Equations

Lesson 4. Applied Problems and Inequalities

Lesson 5. Coordinate Systems,  Graphs of Equations and Lines

Lesson 6. Functions

Lesson 7. Polynomials

Lesson 8. Complex and Rational Zeros, Rational Functions

Lesson 9. Inverse Functions and Exponential Functions

Lesson 10. Logarithmic Functions