- Properties of Arithmetic
- Order of Operations
- Parity
- Prime Numbers
- Fractions (basic operations)
- Divisibility
- Factors and Multiples
- Prime Factorization
- Averages
- Problem Solving Strategies (Finding patterns, Working Backwards etc.)

- Review of Level 1 concepts
- Divisibility
- Factors, Multiples and Remainders
- LCM and GCD and their applications
- Percentage
- Ratio and Proportion
- Rate and Speed
- Word Problems

- Angles
- Right Triangles
- Area and Perimeter
- 3D Geometry
- Problem Solving Strategies

- Review of level 1 concepts
- Angles in a Polygon
- Right Triangles
- Pythagorean Theorem
- Area and Perimeter
- 3D Geometry
- Problem Solving Strategies

- Basics of Counting
- Multiplication Principle
- Venn Diagrams
- Casework
- Problem Solving Strategies

- Review of Level 1 concepts
- Basics of Counting
- Venn Diagrams
- Counting Pairs
- Casework
- Introduction to Probability
- Problem Solving Strategies

- No prerequisites
- Classes on Mon-Fri from 1-4pm PST
- 4 weeks in one session
- Fees:

- Units and Measurement
- 1D Kinematics, Experiments using 1D Kinematics
- 2D Kinematics, Experiments using 2D Kinematics
- Introduction to Newton’s Laws
- Basic types of forces
- Using Newton’s 2nd Law
- Potential & Kinetic Energy
- Momentum
- Collisions, Experiments using Collisions
- Introduction to Rotations
- Introduction to Gravity

- Prerequisite: Level 1.1 and Trigonometry
- Classes on Mon-Fri from 1-4pm PST
- 4 weeks in one session
- Fees:

- Units, Measurement, and Vectors
- 1D, 2D and 3D Kinematics without Calculus
- Newton’s Laws, Types of forces (centripetal, normal, friction, fictitious, etc.)
- Work and Energy (P.E., K.E, Work, Conservation of Mechanical Energy, etc.)
- Center of Mass, Momentum, and Collisions
- Rotational Kinematics
- Rotational Dynamics (Torque, angular momentum, rolling, etc.)
- Springs, elasticity, and equilibrium
- Gravity of Discrete Distributions
- Fluids

- Prerequisites: Level 2.1 and Calculus
- Classes on Mon-Fri from 1-4pm PST
- 4 weeks in one session
- Fees:

- Advanced coordinate system changes
- Advanced topics in projectile motion
- Pulley problems
- Types of fictitious forces
- Advanced rotation problems
- Relationships between forces and energy
- Simple Harmonic Motion (S.H.M.) with Calculus
- Advanced spring and pendulum problems
- Gravity of Continuous and Discrete Distributions
- Advanced topics in gravity
- Fluid statics & dynamics

- No prerequisites
- Classes on Mon-Fri from 1-4pm PST
- 4 weeks in one session
- Fees:

- Units and Measurement
- 1D Kinematics, Experiments using 1D Kinematics
- 2D Kinematics, Experiments using 2D Kinematics
- Introduction to Newton’s Laws
- Basic types of forces
- Using Newton’s 2nd Law
- Potential & Kinetic Energy
- Momentum
- Collisions, Experiments using Collisions
- Introduction to Rotations
- Introduction to Gravity

- Prerequisite: Level 1.1 and Trigonometry
- Classes on Mon-Fri from 1-4pm PST
- 4 weeks in one session
- Fees:

- Units, Measurement, and Vectors
- 1D, 2D and 3D Kinematics without Calculus
- Newton’s Laws, Types of forces (centripetal, normal, friction, fictitious, etc.)
- Work and Energy (P.E., K.E, Work, Conservation of Mechanical Energy, etc.)
- Center of Mass, Momentum, and Collisions
- Rotational Kinematics
- Rotational Dynamics (Torque, angular momentum, rolling, etc.)
- Springs, elasticity, and equilibrium
- Gravity of Discrete Distributions
- Fluids

1-4pm PST | Mon-Fri

Our goal is to develop strong foundation for precalculus. The curriculum covers Algebra II topics as well as algebraic topics from Precalculus Honors.

- Prerequisitesi) For Random Math Studentsii) For Non Random Math Students - Assessment Test
- FeesRegular Price: $1600
- PolicyPlease ensure to review "Class Policies" in the registration form.

Course Topics

Scroll to view all topics

**Quadratics:**Quadratic equations and the quadratic formula, completing the squares, word problems**Inequalities:**Quadratics and cubic inequalities, rationals, radicals, absolute value**Functions:**Domain and range, inverses, composite, odd and even, increasing and decreasing, graphing**Polynomials:**Polynomial division, remainder theorem, factor theorem, rational root theorem, zeros of polynomials, rational functions, graphing polynomials and rational functions, Manipulating graphs using shifts, stretches, symmetry & reflections**Exponents & Logarithm:**Exponential and logarithmic functions and their properties, solving exponential and logarithmic equations, applications of exponential and logarithmic functions**Sequences:**Arithmetic, geometric , harmonic Sequences, and arithmetic-geometric sequences**Complex Number:**Operations, trigonometric and polar form, absolute value, powers and roots of complex numbers**Conics:**Parabolas, ellipses, hyperbolas, circles, conic sections**Matrices & Determinants:**Linear systems of equations in three variables, application of linear systems, solving nonlinear systems, operations with matrices, Gauss-Jordan method, evaluating determinants, using inverses of matrices to solve linear systems, systems of inequalities, linear programming

1-4pm PST | Mon-Fri

Our goal is to prepare our students for rigorous Calculus classes. The curriculum covers topics from Trigonometry, Vectors, Analytical Geometry, and more.

- Prerequisitesi) For Random Math Studentsii) For Non Random Math Students - Assessment Test
- FeesRegular Price: $1600
- PolicyPlease ensure to review "Class Policies" in the registration form.

Course Topics

Scroll to view all topics

**Trigonometric Functions:**Angles and radian measure, right angle trigonometry, the trigonometric functions, graphing sine and cosine functions, inverse trigonometric functions**Trigonometric Identities:**Basic trigonometric identities, simplifying trigonometric expressions, proving trigonometric identities, solving trigonometric equations, the sum and difference identities, double-angle identities, other advanced identities**Applications of Trigonometry:**Law of sines, the law of cosines, heron's formula, height and distance**Parametrization:**Parametric equations, polar coordinates, cylindrical and spherical coordinates**Complex Numbers:**Polar and exponential form, roots of unity, geometry of complex numbers**Vectors:**Vector basics, components of vectors and unit vectors, vectors in 2D and 3D geometry, dot and cross products, lines and linear dependence**Matrices and Determinants:**Operations with matrices, the Gauss-Jordan method, evaluating and applying determinants, using inverses of matrices to solve linear systems**Analytical Geometry:**Parabolas, ellipses, hyperbolas, identifying conic sections, polar equations of conics, 3D geometry**Limits and Continuity:**Concept of a limit and finding limits graphically, the limit laws, evaluating limits, continuity

1-4pm PST | Mon-Fri

Our goal is to enable our students succeed in rigorous Calculus & Physics classes such as F=ma & USAPHO. The curriculum covers topics from AP Calculus BC.

- Prerequisitesi) For Random Math Studentsii) For Non Random Math Students - Assessment Test
- FeesRegular Price: $1600
- PolicyPlease ensure to review "Class Policies" in the registration form.

Course Topics

Scroll to view all topics

**Precalculus review:**Functions, inverse functions, exponential, logarithmic, trigonometric functions**Limits and Continuity:**Concept of limit, finding limits graphically, the limit laws, evaluating limits, the squeeze theorem, continuity and discontinuity, infinite limits and indeterminate forms**Derivatives:**Understanding the derivative, special derivatives, power rule, product and quotient rules, chain rule, derivatives of trigonometric, exponential and logarithmic functions, inverse functions, inverse trigonometric functions, implicit differentiation**Applications of Differentiation:**Position and velocity, linear approximation and Newton's method, optimization, related rates, tangents and normal, increasing and decreasing functions, concave and convex functions, asymptotes, indeterminate quotients and L'hospital's rule**Integration:**Antiderivatives, integration by substitution, fundamental theorem of calculus, integration by parts, numerical integration, trigonometric substitution**Application of Integration:**Motion, area between two curves, average value of a function, finding volumes using cross-sections, disks and washers, shells, work, center of mass, moment of inertia, arc length**Diff. Equations:**Separable Differential Equations, Direction Fields, Growth and Decay, Euler's Method**Sequences and series:**Sequences, Infinite Series, Integral Test, p-Series, Convergence and Divergence, Polynomial approximation, Taylor and Maclaurin Series, Power Series

Online and In-Person

Explore Math in Ways and to a level beyond the school year

Levels Based on Skill and not just based on grade

These are the **math summer camps** we offer. Learn More about each** math summer camp **by clicking on the cards below.

Jump Quickly to **Math Summer Camp Program for You**

The focus of this **math summer camp program **is to hone problem solving skills, enrich analytic thinking and logical skills, create passion for math, supply students with tactics and knowledge crucial to excelling in competitions, and most important of all: TO HAVE FUN

- Master the art of problem solving
- Make logical thinking a habit
- Live and love the culture of co-opetition
- Develop a lifelong association with math

- Small classroom size (12-16 students)
- Campers at same level instead of grade
- Curiosity is encouraged and class participation incentivized

Our curriculum for Elementary Problem solving includes a balance between learning the mathematical concepts and problem-solving skills.

During the class, our students would learn how to organize and manage a problem before identifying the method of navigation.

Below are the three camps we are running for Elementary Problem Solving, Levels 1 and 2. Click on the camps to view the specific topics each camp will cover for each level.

Below are the three camps we are running for Elementary Problem Solving, Levels 1 and 2. Click on the camps to view the specific topics each camp will cover for each level.

Cost: $1650

June 12, 2023 – June 30, 2023 (Monday to Friday)

9:00 a.m. – 12:15 p.m.

June 12, 2023 – June 30, 2023 (Monday to Friday)

9:00 a.m. – 12:15 p.m.

Cost: $1650

July 10, 2023 – July 28, 2023 (Monday to Friday)

9:00 a.m. – 12:15 p.m.

July 10, 2023 – July 28, 2023 (Monday to Friday)

9:00 a.m. – 12:15 p.m.

Cost: $1100

July 31, 2023 – Aug 11, 2023 (Monday to Friday)

9:00 a.m. – 12:15 p.m.

July 31, 2023 – Aug 11, 2023 (Monday to Friday)

9:00 a.m. – 12:15 p.m.

Students will learn how to employ reasoning, analytical and deductive skills to solve the problem. Below are some common methods under each category.

- Drawing a Picture or Diagram
- Making a List
- Making a Table

- Top-down approach
- Bottom-up approach
- Method of Elimination
- Estimation

- Simplification
- Finding a Pattern
- Deduction

Daily Schedule

10:00-10:50 a.m. – Lecture on Math concepts

11:00-12:15 p.m. – Problem Solving (Practice & Discussions)

There will be 10 minutes break after every 50 minutes.

Campers are expected to work on homework which needs 1-2 hours of work every day. We do not recommend and therefore do not provide full day math classes for students at this Level.

Both theoretical and applied problems will be used to show how a diagram helps to make sense of and model a problem. Students will apply principles of logic to solve classic riddles, such as those involving colored hats and identity of the truth-teller, in addition to non-routine math problems.

Learn more about Levels C - G by clicking the cards to explore the camps below.

Daily Schedule

The curriculum is designed to include problems from various prestigious national and international math contests.

The students will attend lectures, learn problem solving techniques, and work creatively and enthusiastically to tackle challenging problems.

Select the level of your child to see what topics they will cover

Select the level of your child to see what topics they will cover

- Properties of Arithmetic
- Primes
- Fractions
- Parity and Divisibility

- Multiples and Divisors
- Counting Factors
- LCM and GCF

Learn More

about Levels

- LCM and GCF applications
- Problem Solving
- Multiples, Divisors, Remainders

- Factorials and Terminal Zeros
- Units Digits
- Counting Factors

Learn More

about Levels

- Review of Level 4
- Problem Solving using Counting Factors, Sum and Product of Factors

- Base Arithmetic
- Intro to Modular Arithmetic

Learn More

about Levels

- Base Arithmetic
- Problems using Bases, Modular Arithmetic, and Linear Congruences
- Euler's Totient Function

- Wilson's Theorem, Fermat's Theorem, Chinese Remainder Theorem
- Intro to Diophantine Equations

Learn More

about Levels

- Difficult problems with Level 6 concepts
- Various techniques used to prove Diophantine equations

- Residue classes, quadratic reciprocity, primitive roots, lifting the exponent
- Fermat's Little Theorem, Euler's Theorem

Learn More

about Levels

Here are the fees, discounts, and policy for our Summer Camp Program

Fees:

- $925 for full day session
- $670 for half day session

(1st half - Number Theory) - $550 for half day session

(2nd half - Contest Preparation)

Cancellation Policy:

80% of camp fee paid (discounts provided would also be deducted)

Discounts:

- Discounts are only applicable in the tuition fee for regular classes and accelerator program (practice sessions) until December 2023
- 5% discount in monthly tuition fee & accelerator program for students who attend full day
- Discount will be provided for Fall 2023 session

Daily Schedule

The curriculum is designed to include problems from various prestigious national and international math contests.

The students will attend lectures, learn problem solving techniques, and work creatively and enthusiastically to tackle challenging problems.

Select the level of your child to see what topics they will cover

Select the level of your child to see what topics they will cover

- Algebraic Expressions
- Multi-step Linear Equations, Word Problems
- Exponents

- Percentages
- Ratios and Proportional Reasoning
- Radical Expressions

Learn More

about Levels

- Multi-variable Equations
- Exponential Equations and Functions
- Polynomials

- Special Factorizations
- Quadratic Expressions and Equations
- Proportional Reasoning

Learn More

about Levels

- Work and Rate
- Polynomials & Functions
- Roots of Polynomials
- Vieta's for Quadratic and Cubic Functions

- Factor Theorem, Remainder Theorem, etc.
- Linear Equations involving Radicals
- Sequences and Series

Learn More

about Levels

- Intermediate Topics in Polynomials and Functions
- Polynomials - Rational Root Theorem
- Conic Sections
- Logarithms

- Advanced Concepts in Sequences
- Review trivial inequalities, RMS-AM-GM-HM inequalities
- Complex Numbers

Learn More

about Levels

- Review of Level 6 Concepts
- Advanced problem solving using Logarithms, Complex Numbers, Polynomials
- Functional Equations

- Advanced Inequality: Cauchy's Inequality, frequently used theorems, maximization and minimization
- Vectors, Matrices, Cross Product, Determinants

Learn More

about Levels

Here are the fees, discounts, and policy for our Summer Camp Program

Fees:

- $1850 for full day session

(2 weeks) - $1340 for half day session

(1st half - Algebra - 2 weeks) - $1100 for half day session

(2nd half - Contest Preparation - 2 weeks)

Cancellation Policy:

80% of camp fee paid (discounts provided would also be deducted)

Discounts:

- Discounts are only applicable in the tuition fee for regular classes and accelerator program (practice sessions) until December 2023
- 10% discount in monthly tuition fee & accelerator program for students who attend full day camp for 2 weeks
- Discounts will be provided for Fall 2023 session

Daily Schedule

The curriculum is designed to include problems from various prestigious national and international math contests.

The students will attend lectures, learn problem solving techniques, and work creatively and enthusiastically to tackle challenging problems.

Select the level of your child to see what topics they will cover

Select the level of your child to see what topics they will cover

- Angles
- Polygons
- Area and Perimeter
- Types of Triangles

- Pythagorean Theorem
- Right Triangles
- Introduction to 3D Geometry

Learn More

about Levels

- Review Level 3 Concepts
- Congruences
- Similar Triangles
- Problem Solving - area and height of triangles
- Arc Length and Area of Sectors

- Area of Overlapping Complex and Regular Shapes
- 3D Geometry - volume and surface area, applications

Learn More

about Levels

- Review Level 4 Concepts
- Problem Solving - Similar Triangles
- Triangle Special Properties - Centroid, Orthocenter, Incenter, Median

- Angle Bisector Theorem
- Circles - Inscribed Angle, Tangent, Power of Point
- Intro to Analytical Geometry and Trigonometry

Learn More

about Levels

- Review Level 5 Concepts
- Intermediate Trigonometry - Law of Sines and Cosines, Half Angle Formula
- Analytical Geometry Techniques

- Mass Point, Ceva's and Menelaus - collinearity & concurrency
- Excircles, Cyclic Quadrilaterals
- 3D Geometry

Learn More

about Levels

- Review Level 6 Concepts
- Analytical Geometry Advanced Techniques
- Complex Geometry
- Projection, Inversion, Homothety

- Advanced Trigonometric Methods
- Nine Point Circle, Cyclic Quadrilaterals, Directed Angles

Learn More

about Levels

Here are the fees, discounts, and policy for our Summer Camp Program

Fees:

- $2775 for full day session

(3 weeks) - $2010 for half day session

(1st half - Geometry - 3 weeks) - $1650 for half day session

(2nd half - Contest Preparation - 3 weeks)

Cancellation Policy:

80% of camp fee paid (discounts provided would also be deducted)

Discounts:

- Discounts are only applicable in the tuition fee for regular classes and accelerator program until December 2023
- 15% discount in monthly tuition fee & accelerator program for students who attend full day for all 3 weeks
- Discounts will be provided for the Fall 2023 session

Daily Schedule

Select the level of your child to see what topics they will cover

Select the level of your child to see what topics they will cover

- Counting Numbers
- Venn Diagrams
- Addition & Multiplication Principle

- Casework
- Complementary Counting
- Basic Probability

Learn More

about Levels

- Review Level 3 Concepts
- Permutations
- Combinations
- Pascal's Triangle

- Independent and Dependent Events
- Using Symmetry in Probability
- Intro to Geometric Probability

Learn More

about Levels

- Review Level 4 Concepts
- Harder Combination Problems
- Hockey Stick Identity
- Binomial Theorem
- Expected Value

- Basic Distriubution - Stars and Bars
- Principle of Inclusion & Exclusions
- Intermediate Geometric Probability

Learn More

about Levels

- Review Level 5 Concepts
- Constructive Counting
- Bijections
- Distributions - Advanced Techniques

- Combinatorial Identities
- Advanced Geometric Probability
- Conditional Probability

Learn More

about Levels

- Review Level 6 Concepts
- Recursion
- Fibonacci Numbers
- Generating Functions

- Advanced Conditional Probability
- Mathematical Induction

Learn More

about Levels

Here are the fees, discounts, and policy for our Summer Camp Program

Fees:

- $1850 for full day session

(2 weeks) - $1340 for half day session

(1st half - Counting and Probability - 2 weeks) - $1100 for half day session

(2nd half - Contest Preparation - 2 weeks)

Cancellation Policy:

80% of camp fee paid (discounts provided would also be deducted)

Discounts:

- Discounts are only applicable in the tuition fee for regular classes and accelerator program (practice sessions) until December 2023
- 10% discount in monthly tuition fee & accelerator program for students who are enrolled for full day for the two weeks
- Discount will be provided for Fall 2023 session

Levels are based on skills and include students from several grades. Check which level is the best fit for your child.

Students who have scored **over 9 points** in the AMC 8

Math concepts required to solve intermediate middle school problems.

Top 5% nationwide in the AMC 8 (Achievement/Honor Roll)

MOEMS

AMC 8

Math Counts

AMC 8

Math Counts

Students who have scored **over 15 points** in the AMC 8

Advanced middle school and introductory high school math concepts.

AMC 10/12 Achievement Roll

AMC 8 Distinguished Honor Roll

AMC 8 Distinguished Honor Roll

AMC 8

AMC 10/12

AMC 10/12

Students who have scored **80+ points** in the AMC 10 or 70+ in AMC 12

Advanced middle school and introductory high school math concepts.

AIME Qualification and 4+ in AIME

AMC 10/12

Students who have scored over **100 points** in the AMC 10 or 90 points in AMC 12

Math concepts required to solve challenging AMC 10/12 problems and intermediate AIME problems

Distinguished Honor Roll in AMC10/12

7+ in AIME

7+ in AIME

AMC 10

AMC 12

AIME Beginner

AMC 12

AIME Beginner

Students who have scored **over 120 points** in the AMC 10 or **over** **100 points** in the AMC 12

Concepts involved in solving advanced AIME problems

Qualify for USAJMO\USAMO

AMC 10/12

AIME

AIME

Random Math holds programs to help students develop strong advanced math skills and beyond school curricula. **These courses are now offered as part of RMXplore**.

Go to RMXplore

Yes, a qualitative assessment helps us understand student’s goals from the program, her/his motivation level, and current proficiency in problem solving and mathematics.

This also helps us identify a suitable class placement for the student and to provide recommendations for future growth and development of the prospective student.

To respect the privacy of our coaches and other students, Random Math does **not **grant access to lecture recordings.

All students will have access to the coach's daily lecture notes. If your child is absent on any day, he or she should reference the notes to catch up on the material.

Each session runs with a different goal in mid. In the morning sessions, our coaches teach students new mathematical concepts. In the afternoons, students practice contest problems to refine their competitive math skills. For a competitive track it is best to enroll in both sessions (full day).

You may withdraw your child and discontinue from Random Math. Standard refund policy and general policy will apply. Please refer to our policies or contact us for details.

All four courses namely Number Theory, Algebra, Geometry and Combinatorics are part of Random Math’s Integrated Math Curriculum. Our students advance in all four areas every year. However, if your child does not have time to attend all four camps, we encourage you to discuss with your child and make the decision. Sometimes the selection may be based on what they enjoy most while other times they may want to address one or more of their weaker areas.

There will be concepts and problems in all four areas to learn more and advance further.

Parents cannot choose levels for their child.

Our philosophy is to maximize the benefit to our campers. Student’s level would be decided based on assessment on first day of the camp as well as at the discretion of the coach based on classroom discussions during the camp. Students who complete the registration at least a month before the start date of the camp will have an option to get an assessment done prior to the start of the camp to determine the student’s starting level.

No, student’s level may change depending on the topics. For example, a student may be at Level 6 in Algebra but Level 5 in Geometry.

There will be a maximum of 16 students in a class at any time.

Yes – The sample topics as well as sample problems are available on course specific page.

Yes. There is a fee of $50 assessment fee per camp. The fee will be applied to the summer camp if the student decides to enroll for the camp. You will also be communicated on the camp level that your child would be able to attend.

Yes – There is no additional fee. Furthermore, you would be provided with a 20-minute slot with the coach to discuss any follow up questions.

Yes, we will organize open house where our coach(es) and Teaching Assistants will answer your question. Please sign-up for the open house.

Yes, Random Math offers a paid consulting session of 30 minutes with the coach. This discussion will happen after the student takes an assessment. Here you can ask any specific questions and work with the coach to develop a plan for your child. It is, however, a paid service.

If you have any generic questions, please send an email to helpdesk@randommath.com. We will respond to your question within 48 hours as well as add your questions to the FAQ list for benefit of other parents.