What we teach, and how it stacks up against the world.
Every Rodybee program is benchmarked against the highest international standards — not a national average. Pick a program to explore the standards we follow, the topics we cover by age, and the official sources behind every claim.
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Arithmetic
Counting, addition, subtraction, multiplication, division, and mental shortcuts.
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Fractions
Halves, quarters, thirds; notation a/b on number line; equivalence and comparison; ± × ÷; decimals/percent; bar model word problems.
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Geometry
Shapes, attributes, symmetry, angles, perimeter, area, volume, transformations.
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Reading
From first letters to comprehension: phonics, sight words, fluency, vocabulary, grammar, and reading strategies.
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Pre-Algebra
Integers and rationals, expressions and equations, linear functions and slope, systems, exponents, Pythagoras, and stats/probability — calibrated to CCSS G7-G8 + Singapore Sec 1-2.
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Algebra 1
Linear functions deep, polynomials, factoring, quadratic functions and equations, exponentials, sequences, radicals, rational expressions, and statistics with formal regression — the delta over pre-algebra, calibrated to CCSS HS Algebra/Functions + Singapore Sec 3-4.
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Geometry (Secondary)
Formal proofs (two-column, paragraph, flow), congruence and similarity criteria, right-triangle and oblique trigonometry, advanced circle theorems, analytic geometry, 3D solids and constructions — calibrated to CCSS HS Geometry + Singapore Sec 3-4 + Cambridge IGCSE 0580 Extended.
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Algebra 2
Logarithms, advanced polynomials and rationals, full trigonometry (unit circle, identities, equations), conics, complex numbers, matrices, and advanced probability with Bayes and the normal distribution. Calibrated to CCSS HS Algebra 2, IB AA SL Y1, and Cambridge AS 9709.
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Pre-Calculus
The bridge from algebra to calculus: advanced functions, full trig identities, 2D and 3D vectors, parametric and polar curves, complex numbers in Euler form, and intuitive limits and derivatives. Calibrated to CCSS HS Functions, IB AA SL Y2, and Cambridge AS/A2 9709.
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Calculus (Intro)
Single-variable calculus: limits, derivatives, integrals, sequences and Taylor series. Calibrated to AP Calculus BC, IB AA HL, and freshman college (MIT 18.01, Berkeley Math 1A–1B).
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Calculus II / Multivariable
Multivariable and vector calculus plus second-order ODEs, at the university freshman/sophomore level: partial derivatives, multiple integrals, vector fields, Green's, Stokes', divergence theorems, and mass-spring/RLC modeling. Calibrated to MIT 18.02 + 18.03, Berkeley Math 53–54, and Cambridge Tripos IA.
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Linear Algebra
University-level linear algebra (1st–2nd year): from matrices and systems to eigenvalues, SVD, and applications like PCA and PageRank. The first Rodybee program calibrated entirely to university standards — MIT 18.06, Berkeley Math 54, Cambridge Tripos IA.
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Differential Equations II / Methods
Sophomore-level mathematical methods for engineers and physicists: Laplace transforms, systems of ODEs, phase portraits, series solutions, special functions (Bessel, Legendre), Fourier series and transform, and the heat / wave / Laplace equations. Calibrated to MIT 18.03 + 18.085, Berkeley Math 121A, and Cambridge Tripos IB Methods.
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Complex Analysis
Junior/senior-level complex analysis: holomorphic functions, Cauchy-Riemann, contour integration, residues, Laurent series, conformal mapping, and the Riemann mapping theorem. Calibrated to MIT 18.04 + 18.112, Berkeley Math 185, and Cambridge Tripos IB Complex Analysis.
Benchmark coming soon
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Anatomy (K-6)
Human anatomy for ages 5–12: body parts and senses, growth and hygiene, skeleton and muscles, digestion, breathing and circulation, nervous system, nutrition and basic first aid. Rod and Seb point and explain. Calibrated to Singapore MOE, UK National Curriculum KS1–KS2, Australia AC, and Mexico SEP.
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Anatomy Advanced (HS)
High-school human anatomy and physiology for ages 12–18: histology, every organ system at depth, embryology, immunology, genetics and a clinical pathology capstone. Calibrated to AP A&P, IB Biology HL Option D, Cambridge A-Level 9700, and the Marieb canon.