LEARN · EXPLAIN · REVISE
Senior 1 · Arts
Read the idea, work independently, then explain what changed.
T01高一文組數學思維本(2026).pdf · PDF pages count from the first PDF page · Semester boundary not specified
Sets, inequalities and algebra
PDF 4 · LEARNING AND PRACTICE
Concept of a set
Build understanding of concept of a set through definitions, contrasting cases and justified applications.
Basic relations between sets
Build understanding of basic relations between sets through definitions, contrasting cases and justified applications.
Basic operations on sets
Build understanding of basic operations on sets through definitions, contrasting cases and justified applications.
Quadratic functions, equations and inequalities
Build understanding of quadratic functions, equations and inequalities through definitions, contrasting cases and justified applications.
Polynomial division and partial fractions
Divide polynomials and choose decomposition numerators matched to each denominator factor.
Radicals, rational equations and simultaneous equations
Build understanding of radicals, rational equations and simultaneous equations through definitions, contrasting cases and justified applications.
Absolute values and solution sets
Build understanding of absolute values and solution sets through definitions, contrasting cases and justified applications.
Functions, exponents and logarithms
PDF 8 · LEARNING AND PRACTICE
Function concept and representations
Build understanding of function concept and representations through definitions, contrasting cases and justified applications.
Basic properties of functions
Build understanding of basic properties of functions through definitions, contrasting cases and justified applications.
Applications of functions I
Build understanding of applications of functions i through definitions, contrasting cases and justified applications.
Exponents
Build understanding of exponents through definitions, contrasting cases and justified applications.
Exponential functions
Build understanding of exponential functions through definitions, contrasting cases and justified applications.
Logarithms
Build understanding of logarithms through definitions, contrasting cases and justified applications.
Logarithmic functions
Build understanding of logarithmic functions through definitions, contrasting cases and justified applications.
Applications of functions II
Build understanding of applications of functions ii through definitions, contrasting cases and justified applications.
Inverse functions and domain restrictions
Build understanding of inverse functions and domain restrictions through definitions, contrasting cases and justified applications.
Exponential and logarithmic equations
Build understanding of exponential and logarithmic equations through definitions, contrasting cases and justified applications.
Trigonometry and vectors
PDF 20 · LEARNING AND PRACTICE
General angles and radian measure
Build understanding of general angles and radian measure through definitions, contrasting cases and justified applications.
Concept of trigonometric functions
Build understanding of concept of trigonometric functions through definitions, contrasting cases and justified applications.
Reduction formulas
Build understanding of reduction formulas through definitions, contrasting cases and justified applications.
Graphs and properties of trigonometric functions
Build understanding of graphs and properties of trigonometric functions through definitions, contrasting cases and justified applications.
Trigonometric identities and transformations
Build understanding of trigonometric identities and transformations through definitions, contrasting cases and justified applications.
The function y=A sin(ωx+φ)
Build understanding of the function y=a sin(ωx+φ) through definitions, contrasting cases and justified applications.
Applications of trigonometric functions
Build understanding of applications of trigonometric functions through definitions, contrasting cases and justified applications.
Concept of plane vectors
Build understanding of concept of plane vectors through definitions, contrasting cases and justified applications.
Operations on plane vectors
Build understanding of operations on plane vectors through definitions, contrasting cases and justified applications.
Basis theorem and coordinate representation
Build understanding of basis theorem and coordinate representation through definitions, contrasting cases and justified applications.
Applications of plane vectors
Build understanding of applications of plane vectors through definitions, contrasting cases and justified applications.
Solid geometry, including surface area
PDF 38 · LEARNING AND PRACTICE
Basic solid figures
Build understanding of basic solid figures through definitions, contrasting cases and justified applications.
Oblique drawings of solids
Build understanding of oblique drawings of solids through definitions, contrasting cases and justified applications.
Surface areas and volumes of simple solids
Build understanding of surface areas and volumes of simple solids through definitions, contrasting cases and justified applications.
Positions of points, lines and planes in space
Build understanding of positions of points, lines and planes in space through definitions, contrasting cases and justified applications.
Parallel lines and planes in space
Build understanding of parallel lines and planes in space through definitions, contrasting cases and justified applications.
Perpendicular lines and planes in space
Build understanding of perpendicular lines and planes in space through definitions, contrasting cases and justified applications.