Mathematics

Mathematics

From counting to complex analysis. The backbone of the curriculum.

Primary

  • Arithmetic

    Counting, addition, subtraction, multiplication, division, and mental shortcuts.

    14 blocks · 81 skillsAges 4–12
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  • Fractions

    Halves, quarters, thirds; notation a/b on number line; equivalence and comparison; ± × ÷; decimals/percent; bar model word problems.

    9 blocks · 43 skillsAges 5–12
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  • Geometry

    Shapes, attributes, symmetry, angles, perimeter, area, volume, transformations.

    11 blocks · 56 skillsAges 5–12
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Secondary

  • 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.

    11 blocks · 70 skillsAges 12–14
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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.

    11 blocks · 60 skillsAges 13–15
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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.

    11 blocks · 64 skillsAges 14–16
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High school

  • 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.

    12 blocks · 88 skillsAges 15–18
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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.

    11 blocks · 66 skillsAges 16–18
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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).

    13 blocks · 94 skillsAges 17–19
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College

  • 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.

    14 blocks · 98 skillsAges 18–20
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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.

    13 blocks · 92 skillsAges 18–20
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  • Differential Equations II / Mathematical 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.

    14 blocks · 102 skillsAges 19–20
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Advanced

  • 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.

    12 blocks · 91 skillsAges 20–21
    Coming soon
Mathematics — Rodybee