← Back to all programs

Curriculum & Standards · Algebra 2

Algebra 2 — the densest program of the world's high-school math, calibrated to CCSS + Cambridge AS + Singapore JC + IB.

From the definition of a logarithm to complex numbers in polar form. Logs and applied exponentials (compound interest, half-life), advanced polynomials with the factor and rational-root theorems, rational and radical functions with full graph analysis, the entire unit circle and trigonometric identity machinery, infinite geometric series, matrices and 3×3 linear systems, combinatorics culminating in the binomial theorem, conditional probability and Bayes' rule, the normal distribution with z-scores, the four conic sections in standard form, and complex number arithmetic — all aligned to the union of CCSS HS, Cambridge International AS 9709, Singapore JC1 H2 and IB Mathematics AA SL.

88

Skills

12

Modules (hex)

13

Official standards benchmarked

15–18

Age coverage

Why Algebra 2 is the gateway to STEM university

Algebra 2 is the densest program in any HS math curriculum: it introduces functions of every major family (logarithmic, trigonometric, rational, radical, exponential beyond linear), the algebra of complex numbers and matrices, and the statistical machinery that connects high school to university calculus and data science. The TIMSS Advanced cohort consistently shows that students who master this content perform best in PISA-Adv and STEM admissions worldwide. Rodybee tracks the union of CCSS, Cambridge AS, Singapore H2 and IB AA SL.

#CountryTIMSS score
1🇸🇬Singapur605
2🇹🇼Chinese Taipei597
3🇰🇷Corea596
4🇯🇵Japón595

Source: TIMSS Advanced 2015 Final Year Math ↗

Find your child's level

Pick an age and see exactly what we teach at that point — and what the most demanding standards in the world expect at the same age. There's no marketing fluff: each topic links to the official curriculum document.

Your child's age

Rodybee for your child · 7 años

What we teach at this age

No skills calibrated for this exact age yet — try an adjacent year.

Highest international bar at this age · G10 / Sec 4 / JC1 Y1

🇺🇸Estados Unidos

Logarithms (definition, properties, change of base, ln, e), exponential and log equations applied (compound interest, half-life), polynomial long/synthetic division, factor/remainder/rational root theorems, end behavior and root multiplicity, rational functions with vertical/horizontal/oblique asymptotes and holes, advanced radical functions.

Grade-by-grade benchmark

Full table of what each major standard expects per grade. Every cell is sourced from the official ministry, board or framework document.

G10 / Sec 4 / JC1 Y1

First third — logs + advanced polynomials + rationals (~15–16 años)

Highest bar · 🇺🇸 Estados Unidos

Logarithms (definition, properties, change of base, ln, e), exponential and log equations applied (compound interest, half-life), polynomial long/synthetic division, factor/remainder/rational root theorems, end behavior and root multiplicity, rational functions with vertical/horizontal/oblique asymptotes and holes, advanced radical functions.

CountryExpected topicsOfficial source
🇺🇸Estados UnidosHSA-APR (advanced polynomials, division, factor theorem). HSF-IF (rational, radical functions analysis). HSF-LE (logarithmic and exponential models). HSN (number system extension).CCSS-M HS Algebra (incl. Algebra 2) ↗
🌐Cambridge AS 9709Pure 1: indices, surds, logs (definition + properties + change of base + equations). Polynomials with factor/remainder theorems. Rational functions and graphs.Cambridge International AS Level Mathematics 9709 ↗
🇸🇬SingapurJC1 H2 Math 9758: Functions (composite, inverse), polynomials, partial fractions, sequences and series (sigma).Singapore JC1 H2 Mathematics 9758 (SEAB) ↗
🌐IB AA SL Y1Topic 1 (Number & Algebra): logs, exponentials, sequences. Topic 2 (Functions): rational, radical, polynomial.IB Diploma Mathematics: Analysis and Approaches ↗

Rodybee skills at this grade

Logarithm definition · Common log (base 10) · Natural log (ln) · Log property — product · Log property — quotient · Log property — power · Change of base · Solve exponential equation with log · Solve logarithmic equation · Exp/log systems · Continuous compound interest (Pe^rt) · Half-life decay · Polynomial long division · Synthetic division (Ruffini) · Remainder theorem · Factor theorem · Rational root theorem · Polynomial end behavior · Polynomial graphs (degree 3+) · Root multiplicity · Vertical asymptotes · Horizontal asymptotes · Oblique asymptotes · Holes in rational graphs · Graph rational function (complete) · Graph radical function · Radical equation — extraneous roots · Domain of radical function

G11 / Sec 4 / JC1 Y2

Second third — trigonometry complete + series + matrices (~16–17 años)

Highest bar · 🇸🇬 Singapur

Unit circle and radians (the bridge to advanced trigonometry), six trig functions, identities (Pythagorean, sum/difference, double angle), trig equations, graphs (amplitude/period/phase), inverse trig (arcsin/arccos/arctan), series with sigma notation including infinite geometric, matrices and 3×3 linear systems via Gaussian elimination or Cramer's rule.

CountryExpected topicsOfficial source
🇸🇬SingapurJC1 H2: trig completa (unit circle, identidades, graphs), sequences/series con sigma e infinitas, matrices con determinantes, sistemas lineales.Singapore JC1 H2 Mathematics 9758 (SEAB) ↗
🌐IB AA SLTopic 3 (Geometry & Trigonometry): unit circle, radians, identities, equations, inverse trig.IB Diploma Mathematics: Analysis and Approaches ↗
🇺🇸Estados UnidosHSF-TF (Trigonometric functions on unit circle, period, amplitude). HSN-VM (Vector & Matrix Quantities).CCSS-M HS Functions ↗
🌐Cambridge AS 9709Pure 1: trig (identities, equations). Pure 3: trig advanced (R cos(θ + α), iterative). Series.Cambridge International AS Level Mathematics 9709 ↗

Rodybee skills at this grade

Radian definition · Radian ↔ degree conversion · Unit circle — special angles · Unit circle — exact values · Six trig functions (sin, cos, tan, csc, sec, cot) · Signs of trig functions by quadrant (ASTC) · Reference angle · Pythagorean identity · Reciprocal identities · Quotient identities · Sum/difference identities · Double-angle identities · Simplify trig expression · Prove trig identity · Basic trig equation · Advanced trig equation · Sine and cosine graphs · Tangent graph · Amplitude, period, phase shift · Periodic modeling · arcsin and arccos · arctan · Sigma notation (Σ) · Arithmetic series sum · Geometric series — finite sum · Geometric series — convergence · Infinite geometric series sum · Matrix notation & dimensions · Add and subtract matrices · Multiply matrices · Determinant 2×2 · Determinant 3×3 · Matrix inverse 2×2 · Solve 3×3 system (Gaussian) · Solve 3×3 system (Cramer's rule)

G12 / JC2 / Y13

Final third — combinatorics + advanced probability + normal + conics + complex (~17–18 años)

Highest bar · 🇸🇬 Singapur

Combinatorics (permutations, combinations, Pascal's triangle, binomial theorem), advanced probability (conditional, multiplication rule, Bayes' rule intro, expected value), normal distribution with z-scores and table lookup, conic sections (parabola focus/directrix, ellipse, hyperbola, classification), and complex numbers (definition, operations, conjugate, modulus, division, polar form intro).

CountryExpected topicsOfficial source
🇸🇬SingapurJC1-JC2 H2: P&C, binomial, probability incl. conditional + Bayes, normal distribution (z-table, inverse), complex numbers (Cartesian only desde 2025+), conics.Singapore JC1 H2 Mathematics 9758 (SEAB) ↗
🇺🇸Estados UnidosHSS-CP (Conditional Probability). HSS-MD (Modeling with Decisions). HSN-CN (Complex Numbers Cartesian + polar +). HSG-GPE (Conics).CCSS-M HS Number — Complex Numbers ↗
🌐Cambridge AS 9709Statistics 1: conditional probability, expected value, normal distribution con tabla. Pure 3: complex numbers + polar.Cambridge International AS Level Mathematics 9709 ↗
🌐IB AA SLTopic 4 (Statistics & Probability): incl. normal y conditional. Topic 1 incluye binomial y complex (HL only).IB Diploma Mathematics: Analysis and Approaches ↗

Rodybee skills at this grade

Multiplicative counting · Permutations P(n, r) · Combinations C(n, r) · Pascal's triangle · Binomial theorem · Conditional probability · Independence test · Multiplication rule · Bayes' rule (intro) · Expected value · Empirical 68-95-99.7 rule · z-score · Normal table lookup · Inverse normal · Conic — circle (review) · Conic — parabola (focus/directrix) · Conic — ellipse · Conic — hyperbola · Classify conic from general form · Complex number definition (i² = −1) · Add/subtract complex numbers · Multiply complex numbers · Conjugate and modulus · Divide complex numbers · Complex — polar form (intro)

Full research document

Methodology, gap analysis, recommendations and the complete list of sources are in the underlying research markdown.

Read the full benchmark document →
Algebra 2 Curriculum & Standards — Rodybee