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Curriculum & Standards · Pre-Algebra

Pre-Algebra, calibrated to CCSS G8 (≈ Algebra-1 lite) + Singapore Secondary 2 Express.

From operations on integers to systems of linear equations, the Pythagorean theorem with informal proof, and rigid transformations + dilations on the coordinate plane — matching CCSS Grade 7-8 in structure and Singapore Secondary 2 in volume, with the Japanese number-line derivation of sign rules and Singapore's bar model extended to algebra.

70

Skills

11

Modules (hex)

12

Official standards benchmarked

12–14

Age coverage

Why we benchmark against CCSS G8 (and Singapore Sec 2)

TIMSS 2023 Grade 8 ranks Singapore #1 (605), Chinese Taipei (597), Korea (596), Japan (595) at the top. CCSS Grade 8 is functionally Algebra-1 lite — including slope, y = mx + b, systems 2×2, formal functions and the Pythagorean theorem with proof. Rodybee covers G7+G8 unified so a kid finishing this program is ready for Algebra 2 directly.

#CountryTIMSS score
1🇸🇬Singapur605
2🇹🇼Chinese Taipei597
3🇰🇷Corea596
4🇯🇵Japón595
5🇭🇰Hong Kong569

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 · G7 / Sec 1 / Y7

🇸🇬Singapur

Negativos completos, racionales unificados, expresiones algebraicas (combinar/distribuir/factorizar), ecuaciones lineales 1-2 step, razón/proporción aplicada, percent. Singapur Sec 1 introduce factorización y expansión un año antes que CCSS.

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.

G7 / Sec 1 / Y7

Grade 7 / Secondary 1 / Year 7 · ~12–13 años

Highest bar · 🇸🇬 Singapur

Negativos completos, racionales unificados, expresiones algebraicas (combinar/distribuir/factorizar), ecuaciones lineales 1-2 step, razón/proporción aplicada, percent. Singapur Sec 1 introduce factorización y expansión un año antes que CCSS.

CountryExpected topicsOfficial source
🇸🇬SingapurSec 1: enteros, fracciones, decimales unificados con regla de signos formal. Expansión y factorización. Ecuaciones e inecuaciones lineales con coeficientes fraccionarios. Number patterns. Pythagorean theorem. Statistics inicial.Singapore MOE Lower Secondary Mathematics Syllabus (Express) ↗
🇺🇸Estados Unidos7.RP razón/proporción aplicada. 7.NS operaciones con racionales positivos y negativos. 7.EE expresiones lineales (distribuir, factorizar, combinar). 7.EE.B ecuaciones e inecuaciones 1-2 step. 7.G escalas, área de círculo, ángulos. 7.SP muestreo + probabilidad de eventos compuestos.CCSS-M Grade 7 ↗
🇬🇧Reino UnidoKS3 Y7: number 4-operations rationals. Algebra: notation, expressions, equations 1-2 step. Ratio: equivalence, proportion, percent change. Probability básica.UK National Curriculum Mathematics Programmes of Study (KS3) ↗
🇯🇵JapónLSS Y1: regla de signos derivada con number line (no memorizada). Letras como variables. Linear equations. Plano coordenado intro.CCSS-M Grade 7 ↗
🇦🇺AustraliaYear 7: integers (4 operaciones), fractions+decimals+percent unificados, algebraic notation, simple equations, índices intro, ratio.ACARA Australian Curriculum Mathematics Year 7-10 v9.0 ↗

Rodybee skills at this grade

Compare and order integers · Add and subtract integers · Multiply and divide integers · Absolute value · Integer word problems · Compare rational numbers · Add and subtract rationals · Multiply and divide rationals · Convert between rational forms · Order of operations (full) · Evaluate algebraic expressions · Combine like terms · Distribute (expand) · Factor common term · Simplify expressions · One-step equations · Two-step equations · Multi-step equations · Equations with fractions · Equations word problems · One-step inequalities · Two-step inequalities · Graph inequalities on a number line · Ratio and proportion · Direct and inverse proportion · Percent applications

G8 / Sec 2 / Y8-9

Grade 8 / Secondary 2 / Year 8-9 · ~13–14 años

Highest bar · 🇺🇸 Estados Unidos

Álgebra-1 lite: leyes de exponentes con cero/negativos, notación científica, slope formal, y = mx + b, sistemas 2×2, funciones formales, Pythagorean (con demostración informal), volumen 3D completo, transformaciones rígidas + dilataciones, scatter plots y two-way tables.

CountryExpected topicsOfficial source
🇺🇸Estados Unidos8.NS irracionales. 8.EE leyes de exponentes con negativos/cero, raíces, notación científica, slope, y = mx + b, sistemas 2×2. 8.F funciones formales, comparar 2 funciones, modelar relaciones lineales. 8.G Pythagorean + demostración (único marco), volumen cilindro/cono/esfera, transformaciones + dilataciones. 8.SP scatter plots, two-way tables.CCSS-M Grade 8 ↗
🇸🇬SingapurSec 2 Express: indices completas (incl. fraccionario y negativo). Direct/inverse proportion algebraic. Algebraic manipulation completa (incl. factorising quadratics intro). Linear graphs (gradient, intercept, parallels). Sistemas simultáneos. Pythagorean. Mensuration 3D completa (cilindro, cono, pirámide, esfera — área superficial y volumen). Probability básica.Singapore MOE Lower Secondary Mathematics Syllabus (Express) ↗
🇬🇧Reino UnidoKS3 Y8-Y9: powers and roots, standard form. Algebra: linear y quadratic graphs intro, simultaneous equations, factorising. Geometry: Pythagoras, trigonometry intro (Y9). Probability: combined events. Stats: scatter graphs, line of best fit.UK National Curriculum Mathematics Programmes of Study (KS3) ↗
🇦🇺AustraliaYear 8: indices, scientific notation, linear equations + inequations, plano coordenado completo, ratios with rates, probability with sample spaces, congruence/similarity.ACARA Australian Curriculum Mathematics Year 7-10 v9.0 ↗

Rodybee skills at this grade

Exponents — product law · Exponents — quotient law · Exponents — power of a power · Exponents — zero & negative · Perfect square roots · Perfect cube roots · Scientific notation · Scientific notation operations · Coordinate plane (4 quadrants) · Functions: input/output · Function — formal definition · Linear vs non-linear functions · Compare functions · Function word problems · Slope from a graph · Slope from two points · Slope-intercept form (y = mx + b) · Graph from equation · Equation from graph · Parallel lines and slope · Systems — graphical · Systems — substitution · Systems — elimination · Systems — special cases · Systems — word problems · Pythagorean theorem · Pythagorean — informal proof · Pythagorean — word problems · Pythagorean — 3D diagonals · Distance on the coordinate plane · Volume of cylinder · Volume of cone · Volume of sphere · Rigid transformations on coordinates · Dilations on coordinates · Congruence via transformations · Similarity via transformations · Statistics — center & spread · Box plot & quartiles · Interpret scatter plots · Line of best fit · Two-way tables · Compound probability

Full research document

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

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