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Curriculum & Standards · Algebra 1

Algebra 1, the delta over pre-algebra — quadratics, exponentials and regression at the world's pace.

Quadratic functions and equations with all four solution methods (factoring, completing the square, formula, graph), polynomial operations, factoring (including sum/difference of cubes), exponential growth/decay, sequences, radicals, rational expressions, advanced inequalities and nonlinear systems, plus formal linear regression with the correlation coefficient r. Calibrated to CCSS HS Algebra/Functions and Singapore Secondary 3-4 Express.

60

Skills

11

Modules (hex)

12

Official standards benchmarked

13–15

Age coverage

Why we benchmark against Cambridge IGCSE and Singapore Sec 3-4

TIMSS 2023 Grade 8 ranks Singapore at the top. By the end of Singapore Secondary 4 Express, students cover ~70% of CCSS HS Algebra including factor theorem, factorising quadratics, simultaneous equations and intro logarithms. Cambridge IGCSE 0580 Extended and 0606 Additional are the premium international benchmarks Rodybee tracks. A student finishing this program is ready for Algebra 2 directly.

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

Source: TIMSS 2023 Grade 8 Math Achievement ↗

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 · G8 / Sec 3 / Y9-10

🇸🇬Singapur

Linear functions deep (point-slope, standard form, perpendicular slopes), polinomios completos (operaciones, productos especiales), factoring (todos los métodos incluido suma/diferencia de cubos).

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.

G8 / Sec 3 / Y9-10

First half — linear deep + polynomials + factoring (~13–14 años)

Highest bar · 🇸🇬 Singapur

Linear functions deep (point-slope, standard form, perpendicular slopes), polinomios completos (operaciones, productos especiales), factoring (todos los métodos incluido suma/diferencia de cubos).

CountryExpected topicsOfficial source
🇸🇬SingapurSec 3 Express: polinomios completos, expansión y factorización por todos los métodos (factor común, agrupación, trinomios, diferencia de cuadrados). Algebraic manipulation total.Singapore MOE Lower Secondary Mathematics Syllabus (Express) ↗
🇺🇸Estados UnidosHSA-APR (Arithmetic with Polynomials): operaciones completas. HSA-SSE.A.2 (factor by structure). HSA-SSE.B.3 (factoring para resolver).CCSS-M HS Algebra ↗
🇬🇧Reino UnidoGCSE Higher: factoring incluyendo trinomios con a≠1, productos especiales, manipulación de fracciones algebraicas.UK GCSE Mathematics Subject Content ↗
🇦🇺AustraliaYear 9-10: polinomios + factoring + manipulación algebraica.ACARA Australian Curriculum Mathematics Year 9-10 v9.0 ↗

Rodybee skills at this grade

Point-slope form · Standard form Ax + By = C · Perpendicular slopes · Linear word problems (advanced) · Inverse of a linear function · Polynomial notation · Add and subtract polynomials · Multiply polynomials · Special products of binomials · Divide polynomials (simple) · Factor — GCF (advanced) · Factor by grouping · Factor — difference of squares · Factor — perfect square trinomial · Factor trinomial (a = 1) · Factor trinomial (a ≠ 1) · Factor — sum/difference of cubes

G9 / Sec 4 / Y10-11

Second half — quadratics + exponentials + sequences + radicals + regression (~14–15 años)

Highest bar · 🇺🇸 Estados Unidos

Quadratic functions completas (4 métodos de resolución, vertex form, discriminante), exponential functions con growth/decay, sequences (arithmetic + geometric + sum), radicals + rational expressions, funciones extendidas (inverse, piecewise, absolute value), inecuaciones avanzadas y sistemas no lineales, regresión lineal formal con r.

CountryExpected topicsOfficial source
🇺🇸Estados UnidosHSA-REI.B.4 (4 métodos de resolución de cuadráticas). HSF-IF.C.7-8 (gráficas). HSF-LE (lineal vs cuadrática vs exponencial). HSS-ID.B.6 (regresión), HSS-ID.C.7-9 (correlación). HSF-BF (functions building, including inverse).CCSS-M HS Algebra ↗
🇸🇬SingapurSec 4 Express: quadratics 4 métodos + gráfica de parábola + vertex. Exponential functions y graphs. Logarithms básicos. Surds completas. Sequences. Statistics avanzada.Singapore MOE Lower Secondary Mathematics Syllabus (Express) ↗
🇬🇧Reino UnidoGCSE Higher Y10-Y11: quadratics + iterative methods + simultaneous equations (incluido lineal-cuadrática). Exponential growth/decay. Sequences (incluyendo cuadráticas). Surds + rationalize. Probability + scatter graphs + line of best fit.UK GCSE Mathematics Subject Content ↗
🌐Cambridge IGCSE0580 Extended: cuadraticas 4 métodos + sistemas no lineales. 0606 Additional: factor theorem, factorising quadratics avanzado, sistemas no lineales completos. Es ya Algebra-2 lite.Cambridge IGCSE Mathematics 0580 ↗
🇦🇺AustraliaYear 10A Mathematics: cuadráticas 4 métodos + parábolas + applications. Exponential growth. Sequences (n-th term). Surds. Stats avanzada con regresión.ACARA Australian Curriculum Mathematics Year 9-10 v9.0 ↗

Rodybee skills at this grade

Quadratic — standard form · Quadratic — vertex form · Axis of symmetry · Compute the vertex · Graph a quadratic · Quadratic transformations · Solve quadratic by factoring · Solve by completing the square · Quadratic formula · Discriminant · Quadratic word problem · Quadratic inequalities · Rational exponents · Exponential function — definition · Exponential graphs · Exponential growth & decay · Exponential vs linear · Arithmetic sequence — explicit · Arithmetic sequence — recursive · Geometric sequence · Sum of a sequence · Simplify radicals · Operations with radicals · Rationalize the denominator · Radical equations · Simplify rational expressions · Multiply/divide rational expressions · Add/subtract rational expressions · Rational equations · Inverse functions — definition · Compute an inverse function · Evaluate a piecewise function · Graph a piecewise function · Absolute value function · Absolute value equations · Compound inequalities (AND/OR) · Absolute value inequalities · Systems of inequalities (graph) · Nonlinear systems (linear-quadratic) · Linear regression (formal) · Regression residuals · Correlation coefficient r · Correlation vs causation

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 1 Curriculum & Standards — Rodybee