COURSE CATALOG • 2026-2027 SCHOOL MATH + ADVANCED MATH

Course Catalog
School Math & Advanced Math

Explore our comprehensive curriculum — from foundational School Math aligned with Common Core and NGSS to competition-level Advanced Math that goes far beyond traditional school standards. Proof-based, problem-solving focused, and designed for ambitious learners.

School Math ↓ Advanced Math ↓
School Math • 4 Courses
Advanced Math • 2 Courses
School Math

Available Courses

Foundational courses aligned with Common Core and NGSS. Each course builds strong background for honors and upper-level math. Prerequisites: Pre-Algebra or placement test where noted.

ALGEBRA-1
Algebra 1
Common Core

The main objective of Algebra-1 is to provide students with a strong background for all mathematical courses ahead. Basics of algebraic problem-solving are systematically taught — equations, inequalities, functions, polynomials, and data analysis in real-life contexts. Prepares for Honors Algebra-1, 2 and upper level courses.

Prerequisites: Pre-Algebra or 8th Grade Math, or placement test.
Course Outcomes ▼
  • Write expressions and evaluate them with unknown values
  • Use properties to simplify expressions
  • Identify types of relationships represented by proportions
  • Use inverse operations to simplify and find equivalent equations
  • Solve equations using operations and equality properties
  • Write and plot inequalities
  • Model real-world situations using functions and systems
  • Simplify expressions with exponent properties
  • Explore exponential, polynomial, quadratic, rational and radical functions
  • Interpret and analyze data with multiple approaches
Topics Covered ▼
Review of Pre-AlgebraSolving EquationsInequalitiesIntro to FunctionsLinear FunctionsSystemsPolynomials & FactoringQuadraticsRadicalsRational ExpressionsData & Probability
Standards & Textbooks ▼
Common Core: NRN.1-3, NQ.1-3, NCN.1-9, ASSE.1-4, AAPR.1-7, ACED.1-4, AREI.1-12, F.IF.1-9, F.BF.1-5, F.LE.1-5, S.ID.1-9

Textbook: Mathematics Enhancement Programme — cimt.org.uk + Problem-Attic sets — problem-attic.com
GEOMETRY
Geometry
NGSS + Common Core

Covers required concepts of Euclidean geometry including definitions, postulates, and theorems. Areas: tools/language of geometry, reasoning & proof, parallel/perpendicular lines, congruent triangles, polygons, similarity, right triangles & trigonometry, transformations, area/volume, circles, probability. Prepares for Honors Geometry.

Prerequisites: Algebra I or placement test.
Course Outcomes ▼
  • Understand tools and language of Geometry — points, lines, planes, angles
  • Apply logical reasoning and proofs
  • Understand properties of parallel and perpendicular lines
  • Special lines in triangles and triangle congruence proofs
  • Properties of polygons and quadrilaterals
  • Similarity and right triangle relationships
  • Perform transformations and apply to real world
  • Area, surface area, volume of 3D figures
  • Theorems for segments touching circles
  • Conditional probability and decision making
Topics Covered ▼
Tools & LanguageReasoning & ProofParallel & PerpendicularCongruent TrianglesRelationships in TrianglesPolygonsSimilarityRight Triangles & TrigTransformationsAreaSurface & VolumeCirclesProbability
Standards ▼
NGSS: G.CO.1-13, G.SRT.1-11, G.C.1-5, G.GPE.1-7, G.GMD.1-4, G.MG.1-3
Textbook: MEP + Problem-Attic
ALGEBRA-2
Algebra 2
Advanced Algebra

Builds on algebraic and geometric concepts. Develops advanced skills: function families, quadratic functions & complex numbers, polynomial expressions, exponential & logarithmic functions, rational functions, statistics, periodic functions & trigonometry. Prepares for upper level courses.

Prerequisites: Algebra 1 and Geometry, or placement test.
Course Outcomes ▼
  • Use algebraic expressions to represent patterns; solve equations, inequalities, absolute value
  • Model real world with functions; transformations and characteristics
  • Vertex & standard form, factoring quadratics, complex numbers
  • Classify, graph, end behavior of polynomials; zeros and transformations
  • Long & synthetic division, radicals, composite & inverse functions
  • Exponential & logarithmic relationship; rational functions & equations
  • Theoretical/experimental probability, data comparison
  • Radians, periodic data, trigonometric identities & equations, right triangle trig
Topics ▼
Algebra 1 ReviewQuadratics & Complex NumbersPolynomialsRadical FunctionsComposite & InverseExponential & LogRational FunctionsStatisticsPeriodic Functions & TrigApplying Trig
Standards ▼
NGSS: NRN.1-2, NQ.2, NCN.1-2,7-9, ASSE.1a-4, AAPR.1-6, ACED.1-4, AREI.1-11, F.TF.1-8, F.IF.1-9, F.BF.1-4, F.LE.4, S.ID.4-6, S.IC.1-6, S.MD.6-7
Textbook: MEP + Problem-Attic
PRECALCULUS
Precalculus
Pre-Calculus

For students with strong background in Trigonometry and Algebra. Prepares for AP Calculus AB or college calculus. Covers polynomial & rational functions, arithmetic & geometric progressions, trig functions & inverses, identities, plots, combinations & permutation, theory of equations, polar coordinates, induction, parametric equations.

Prerequisites: Algebra 1, 2 and Geometry, or better or equivalent by testing.
Outcomes ▼
  • Derivatives, marginal cost/revenue/profit, higher derivatives interpretation
  • Plots of polynomial functions, domains & limits of rational functions
  • Inflection, critical & extreme points; optimization on closed intervals
  • Average & total sales via integration, Power Rule & Chain Rule
  • Depreciation, interest, demand, advertising, decay & elasticity using log/exp
  • Definite & indefinite integration, implicit differentiation, area between curves
Topics ▼
Functions & GraphsPolynomial & RationalTrig FunctionsAnalytic TrigPolar, Matrices, DeMoivreConic SectionsParametric EquationsSequences & InductionIntro to Calculus
Standards ▼
MP.1-8, N-CN.1-9, N-VM.1-12, A-REI.3-12, A-APR.2-7, F-IF.2-8, F-BF.1-4, F-TF.1-9, G-SRT.6-11, G-GPE.1-3
Textbook: MEP + Problem-Attic
Advanced Math

Available Courses

Competition-level curriculum owned by CyberMath Academy — hand-picked problems from prestigious global competitions, historical problems and puzzles. Goes above and beyond Common Core with Socratic method and creative problem-solving emphasis.

ADVANCED MIDDLE SCHOOL MATH
Advanced Middle School Math
Grades 4-8+ • Competition

Overview: Covers main topics in middle school math with challenging problems, puzzles and cyphers — topics typically not covered at traditional schools. Goes above and beyond Common Core. Socratic method, active participation, collaboration.

Recommended: Grades 4th-8th, anyone 8th grade or below may enroll, younger students encouraged!
Course Objectives ▼
  • Complete mastery of Pre-Algebra, Algebra I and Geometry + topics not in traditional curriculum
  • Explain and employ theorems in Combinatorics, Number Theory, Geometry
  • Reduce unfamiliar problems to basic principles, find shortcuts
  • Build problem-solving intuition and creative thinking
Full-Day Program: Master all topics. Half-Day: Pre-Algebra + Algebra-I + Number Theory (morning option).
Topics Covered ▼
Algebra:
Ratios & ProportionsAlgebraic ExpressionsLinear EquationsFunctionsInequalitiesPolynomialsPascal’s TriangleBinomial TheoremQuadratic Equations
Combinatorics:
CountingStatisticsProbabilityPermutationsCombinations
Number Theory:
DivisibilityGCD & LCMPrime FactorizationRadicals & ExponentsModular ArithmeticSequences & SeriesGauss Formula
Geometry:
AnglesTrianglesPythagoreanPolygonsCirclesPerimeter/Area/VolumeCoordinate3D Geometry
Curriculum Source ▼
Curriculum owned and copyright by CyberMath Academy. Blend of problems from prestigious competitions globally, historical problems and fascinating puzzles.
ADVANCED HIGH SCHOOL MATH
Advanced High School Math
Advanced 7-12 • No Calculus

Overview: Entire high school curriculum — trigonometry, advanced algebra, precalculus, advanced geometry, excluding calculus. Includes challenging topics outside traditional curriculum. Advanced 7th/8th graders and high schoolers. Emphasis on creative problem-solving.

Sample Notes: AMC-Lecture-Notes-Systems-Of-Equations.pdf • Authors: Justin Stevens (Alberta), Forest Kobayashi (Harvey Mudd)
Objectives ▼
  • Mastery of Algebra II & Precalculus + Vieta’s formulas, Complex Numbers, Series manipulation
  • Employ theorems in Combinatorics, Number Theory, Geometry
  • Reduce unfamiliar problems to basic principles, find clever shortcuts
  • Socratic dialogue, collaboration, critical thinking
Full-Day: All topics. Half-Day: Algebra II or Pre-Calc + Number Theory (morning option).
Topics Covered ▼
Algebra:
Quadratics/Discriminants & ConicSystem of EquationsPolynomial DivisionRational Root TheoremFundamental Theorem AlgebraVieta’s FormulasSequences & SeriesInductionRadicalsFactorizationsComplex NumbersInequalitiesFunctionsExponents & Logs
Combinatorics:
CountingSets & Bijections & LogicInclusion ExclusionCombinations & PermutationsPascal & BinomialCombinatorial IdentitiesPigeonholeExpected ValueStars & BarsRecursion & Fibonacci
Number Theory:
Prime FactorizationDivisibilityEuclidean AlgorithmDiophantineBezoutModular ArithmeticFermat LittleWilsonChinese RemainderMultiplicative FunctionsEuler
Geometry:
Congruent & Similar TrianglesSpecial PartsArea FormulasQuadrilateralsPolygonsInscribed AnglesPower of a Point3D GeometryTrig Right TrianglesUnit Circle & RadiansTrig IdentitiesLaw of Sines/CosinesPolar & Complex Geometry
Ready to choose your track?
School Math • Advanced Math • Placement test • Proof-based • Global community
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