Math curriculum in Taiwan

No calculator is used in all 12 years

G1S1: Count up to 30; Simple shapes; which side is more (blocks); who is taller; add; subtract (2 digits); read analog clock.
G1S2: Count up to 100; move up and down time on an analog clock; +, -; tally to a table.

G2S1: Count and use numbers up to 200; + and - vertically; analog clock, dates; cm; multiply; measure length.
G2S2: Count up to 1000 and work with those numbers; meter; multiplication table; line, plane; tell amount of money; concept of horizontal and vertical; point, edge,face; concept of fractions.

G3S1: Count up to 2000 and + - X / of these numbers. plane shapes (triangle, four sided poligons); perimeter; volume; kg, g; area;; division; compare fractions.
G3S2: 10,000 and under (count and + - X /); time (hr vs. min, min vs. sec); multiply and divide large numbers; angle; circle basics; + - of fractions; mm, decimal numbers.

G4S1:Count under 100,000 and (+ - X /);parallel and perpendicular lines; mixed fractions and operations of; area of squares and rectangles; orders ofoperations; add and subtract time; measure with a protractor; adding angles

G4S2: Switch amongst fractions, percent, and decimals; more conceptual operations of fractions(4 times how much is 4/5); proportion; X and / of decimals vertically; speed; how to truncate.

G5S1: + - X / of all huge numbers; km; + - X / with approximation; work with decimals up to three digits; divide to form a mixed fraction; volume; names and characteristics of different types of triangles and shapes with 4 sides; line graph and bar graph.

G5S2: common factors and common multiples; simplify fractions; numberline; graph decimals and fractions; find area by counting unit squares; area of parallelograms and trapezoids; ton; kg.

G6S1: + - X / of negative numbers; absolute values; exponents; sci. notations; distributive property a (x + y) = ax + ay; solve complex equations with just one variable.

G6S2: Solve linear inequalities; solve systems; graph ordered pares;
graph ax + by = c; inverse variation; variables and functions.

*** Middle School ***

G7S1: distributive, foil,polynomial operations (+ - X /); factoring ax2+bx+c; squareroot; pythagoream theorem; solve quadratic equations.

G7S2:sequence;
geometry: copy line segment, copy angle, area; circle (central angle, arc length, shaded area); polygon( internal angles and area); prism and pyramid (surface area and volume); triangle proofs; perpendicular and parallel line proofs; parallelogram, kite, trapezoids.

G8S1: similar triangles (size and area); similar shapes; circle (tangent, secant, angles)

G8S2: quadratic equations, switching amongst forms and graphing;
Stat, tables, box plots, mean medium mode; probability, sampling.

G9: review of sets, functions, rational and real numbers, XY plane; imaginary numbers and graphing; series, sequence; polynomial operations (alg2 level).

*** High S ***

G10: index; log; trig(up to precalc level).

G11: vectors, matrix used to solve systems of equations; 3D coordinates.

G12: conics; seq; probability; stat (sampling, standard deviation).