# Live Online Courses

CyberMath Academy now offers year-long **live online** courses. Sharpen your math/coding skills with our online courses!

**Dates:** See calendar for each course below for details please! (dates in fall semester have been listed below, spring dates will be added soon.)

**Format:** Live online teaching and problem solving sessions in addition to online activities to be completed every week. Each of our courses include two hours of teaching in addition to a one hour optional problem solving session per week during the academic year. We will offer them for 12 weeks in Fall and 12 weeks in Spring.

**Ages:** 11-18.

**Tuition:** $780 ($100 deposit or full tuition might be paid at the time of registration, remaining balance will be paid in two installments: one in the beginning of September, one in the beginning of January)

**Accreditation:** under process with Western Association of Schools and Colleges’ Accrediting Commission for Schools.

**Outstanding Teachers!**

Please see our faculty page for our instructors. Our online courses will be taught by some of the instructors listed on our faculty page or other outstanding teachers with similar credentials.

Please scroll down for more information.

**.**

**Courses offered at our coding camp**

### Courses

###### Advanced High School Math with AMC 10-12 Problems

*This course prepares students for American Mathematics Competitions 10 and 12 and the non-proof parts of AIME. The topics taught include***the entire high school curriculum including trigonometry, advanced algebra, precalculus and advanced geometry,**but exclude calculus. Our curriculum also includes some additional challenging and brain-stimulating topics outside of the traditional school curriculum.**Recommended Grade Levels:**Although we do not limit students by grade level, this course is typically recommended for advanced 7th and 8th graders and high school students.**Course Description:**This course will familiarize students with the essential concepts and techniques in Algebra II, PreCalculus, Combinatorics, Number Theory, and Geometry. We will have a specific emphasis on problem solving where the students will constantly be challenged to think creatively.**Teacher:**Justin Stevens. Please see our faculty page for his bio.**Time of the Class:**Saturdays 12 pm – 2:30 pm Eastern Time (9 am – 11:30 am in California).**Schedule of Weekly Classes:**12 pm – 12:40 pm: Review of Homework Problems, 12:45 pm – 1:35 pm: 1st Period, 1:40 – 2:30 pm: 2nd Period**Sessions:**There will be a total of 15 sessions comprised of 12 teaching sessions and 3 quiz sessions (one of them being the final exam). The first two quizzes will be completed by the students online at their convenience until the assigned deadline by the teacher.**Dates:**September 14, 21, 28, October 5, 12, 19, 26, November 2, 9, 16, 23, December 7, 14 (Final Exam)**Contest Preparation:**AMC 10/12, AIME, ARML, Mandelbrot, Purple Comet.**Course Objectives:**As of the completion of this course, students will:1. Have complete mastery of concepts covered in standard Algebra II and PreCalculus courses, as well as more advanced topics (such as Vieta’s formulas, Complex Numbers, and manipulation of Series).

2. Be able to explain and employ important theorems and techniques used in Combinatorics, Number Theory, and Geometry.

3. Be able to reduce unfamiliar problems to basic principles, and cleverly employ techniques they’ve learned to find shortcuts in solution methods.

**Teaching Philosophy:**We believe that building good problem-solving skills is as (if not more) important than knowing lots of theorems. As such, although the course will cover a considerable amount of material, the main emphasis will be on building problem-solving intuition and training students to think creatively when faced with classes of problems they’ve never seen before.**Class Participation:**Students are expected to actively participate in class. We will employ the Socrates method, which is a cooperative dialogue between the students and teacher to stimulate critical thinking. Students will also collaborate with classmates while solving challenging problems.**Curriculum:**The course curriculum is owned and copyright by CyberMath Academy. The class material is composed of unique blends of problems hand picked from prestigious competitions from around the globe, along with many historical problems and fascinating puzzles.**Topics Covered In This Course****Algebra**– Quadratics/Discriminants & Conic Sections

– System of Equations

– Polynomial Division

– Rational Root Theorem

– Fundamental Theorem of Algebra

– Vieta’s Formulas

– Sequences and Series

– Induction

– Radicals and Rationalizing Denominators

– Algebraic Factorizations

– Complex Numbers

– Inequalities

– Functions

– Exponents and Logarithms**Combinatorics**– Basic Counting: Constructive and Complimentary

– Sets, Bijections, and Logic

– Principle of Inclusion Exclusion

– Combinations and Permutations

– Pascal’s Triangle

– Binomial Theorem

– Combinatorial Identities

– Pigeonhole Principle

– Expected Value

– Stars & Bars

– Recursion

– Fibonacci Numbers**Number Theory**– Prime Factorization

– Divisibility Rules

– Euclidean Algorithm

– Diophantine Equations

– Bezout’s Identity

– Modular Arithmetic & Exponentiation

– Fermat’s Little Theorem

– Wilson’s Theorem

– Chinese Remainder Theorem

– Multiplicative Functions

– Euler’s Theorem**Geometry**– Congruent & Similar Triangles

– Special Parts of a Triangle

– Triangle Area Formulas

– Quadrilaterals

– Angles in Polygons

– Inscribed Angles in Circles

– Power of a Point

– Three-Dimensional Geometry

– Trigonometry for Right Triangles

– Unit Circle & Radians

– Trigonometric Identities

– Extended Law of Sines & Law of Cosines

– Polar Coordinates & Geometry of Complex Numbers**Click below to see sample lecture notes****AUTHORS****Justin Stevens:**Accelerated Math Program Coordinator

University of Alberta – jstevens@cybermath.academy**Alex Toller:**Curriculum Designer###### Algebra-1 and Integrated Math-1

**Course Description:**The main objective of Algebra 1 is to provide the students with a strong background for all mathematical courses ahead. The basics of algebraic problem-solving are systematically taught. The students will gain a good grasp of the following topics: Basics of Algebra, equations, inequalities, functions at introductory level, linear functions, quadratic functions, equation and inequality systems, exponential functions, polynomials with factoring, radical expressions and equations, and data analysis and probability. Common Core State Standards will be taught and reinforced as the students learn how to practice these concepts in real-life situations. This course prepares students to take Honors Algebra 1, 2 and other upper level related courses.**Prerequisites:**Pre Algebra or 8th Grade Math, or placement test.**Teacher:**Ali Ersoz. Please see our faculty page for his bio.**Time of the Class:**Saturdays 12 pm – 2:30 pm Eastern Time (9 am – 11:30 am in California).**Schedule of Weekly Classes:**12 pm – 12:40 pm: Review of Homework Problems, 12:45 pm – 1:35 pm: 1st Period, 1:40 – 2:30 pm: 2nd Period**Sessions:**There will be a total of 15 sessions comprised of 12 teaching sessions and 3 quiz sessions (one of them being the final exam). The first two quizzes will be completed by the students online at their convenience until the assigned deadline by the teacher.**Dates:**September 14, 21, 28, October 5, 12, 19, 26, November 2, 9, 16, 23, December 7, 14 (Final Exam)**Common Core Standards Covered:**

NRN.1, NRN.2, NRN.3, NQ.1, NQ.2, NQ.3, NCN.1, NCN.2, NCN.3, NCN.4, NCN.5, NCN.6, NCN.7, NCN.8, NCN.9, ASSE.1, ASSE.1a, ASSE.1b, ASSE.2, ASSE.3, ASSE.3a, ASSE.3b, ASSE.3c, ASSE.4, AAPR.1, AAPR.2, AAPR.3, AAPR.4, AAPR.5, AAPR.6, AAPR.7, ACED.1, ACED.2, ACED.3, ACED.4, AREI.1, AREI.2, AREI.3, AREI.4, AREI.4a, AREI.4b, AREI.5, AREI.6, AREI.7, AREI.8, AREI.9, AREI.10, AREI.11, AREI.12, F.IF.1, F.IF.2, F.IF.3, F.IF.4, F.IF.5, F.IF.6, F.IF.7, F.IF.7a, F.IF.7b, F.IF.7c, F.IF.7d, F.IF.7e, F.IF.8, F.IF.8a, F.IF.8b, F.IF.9, F.BF.1, F.BF.1a, F.BF.1b, F.BF.1c, F.BF.2, F.BF.3, F.BF.4, F.BF.4a, F.BF.4b, F.BF.4c, F.BF.4d, F.BF.5, F.LE.1, F.LE.1a, F.LE.1b, F.LE.1c, F.LE.2, F.LE.3, F.LE.4, F.LE.5, S.ID.1, S.ID.2, S.ID.3, S.ID.4, S.ID.5, S.ID.6, S.ID.6a, S.ID.6b, S.ID.6c, S.ID.7, S.ID.8, S.ID.9**Textbook:**Mathematics Enhancement Programme.**Course Outcomes:**After completing, students will be able to:- Write expressions and evaluate them with unknown values,
- Use properties to simplify expressions,
- Identify and differentiate the types of relationships that can be represented by proportions.
- Use inverse operations to simplify and find equivalent equations,
- Solve equations using mathematical operations and equality properties,
- Write and plot inequalities,
- Model real-world situations using functions.
- Model and analyze real-world situations using a system of equations or inequalities,
- Simplify expressions by applying properties of exponents,
- Explore the characteristics of exponential functions,
- Explore polynomials through adding, subtracting, multiplying and factoring, and apply real number properties to manipulate polynomial expressions,
- Plot and identify characteristics of quadratic functions,
- Plot and simplify rational expressions,
- Figure out different strategies to find solutions for quadratic equations,
- Add, subtract, multiply and divide using radicals and learn how to rationalize the denominator of a radical expression,
- Multiply and divide rational expressions and divide polynomials,
- Interpret data in a real-world terms,
- Analyze data with multiple approaches.

**Topics Covered In This Course:**- Review of Pre-Algebra
- Solving Equations
- Solving Inequalities
- Introduction to Functions
- Linear Functions
- Systems of Equations and Inequalities
- Polynomial and Factoring
- Quadratic Functions and Equations
- Radical Expressions and Equations
- Rational Expressions and Functions
- Data Analysis and Probability

###### Python Programming

Learn to deal with common algorithmic problems. Beginners will learn the basics of programming and will be able to write codes that solve beginner level computer science problems. Students with programming experience will improve their skills to solve challenging projects.

**Recommended Grade Levels:**4th-12th**Prerequisites:**None**Teacher:**TBA. Please see our faculty page for our instructors. Our online courses will be taught by some of the instructors listed on our faculty page or other outstanding teachers with similar credentials.**Time of the Class:**Sundays 12 pm – 2:30 pm Eastern Time (9 am – 11:30 am in California).**Schedule of Weekly Classes:**12 pm – 12:40 pm: Review of Homework Problems, 12:45 pm – 1:35 pm: 1st Period, 1:40 – 2:30 pm: 2nd Period**Sessions:**There will be a total of 15 sessions comprised of 12 teaching sessions and 3 quiz sessions (one of them being the final exam). The first two quizzes will be completed by the students online at their convenience until the assigned deadline by the teacher.**Dates:**September 14, 21, 28, October 5, 12, 19, 26, November 2, 9, 16, 23, December 7, 14 (Final Exam)**Topics Covered**– Variables and Operators

– Conditionals

– Loops

– Arrays

– Strings

– Functions

– Files

– Matrices

###### Admission and Placement

Please fill out the form below to apply. Please provide as much detailed information on the student’s background as possible.

**Continuing Students: **You do not need to fill out all fields if you have attended CyberMath courses/camps before. We just need your and your parents’ names and addresses and contact info (email addresses and phone numbers).

**Background Information (not required for continuing students):** Please provide the student’s background. Please include student’s academic achievements, GPA, any Honors or AP Courses taken, competition experience, any year-round or summer advanced courses/camps that the student has participated in.

We will get back to you with an admission decision and payment details if the student is admitted. All students will take a placement test on the first instructional day of our summer camps and will be assigned to their appropriate groups. We continuously monitor our students’ progress throughout the course and make adjustments to their assignments when necessary. If you would like to discuss your child’s placement, please do not hesitate to give us a call or email us at info@cybermath.academy

**Minimum Required Number of Students:** 8 for a course to be opened. If course is not opened for low enrollment, full tuition will be refunded.