2018ACT考試數學內容概覽

ACT數學考試不是單純的語言考試，而是對學生綜合能力的測試?？荚囍匾晫W生對基礎課程的掌握并檢查學生的學術能力，難度貼近高中生。ACT數學測試部分，共六個方面的內容組成了三個部分的得分：算術、初級代數、中級代數、幾何坐標、平面幾何、三角形。

　　In the Mathematics Test, three subscores are based on six content areas: pre-algebra, elementary algebra, intermediate algebra, coordinate geometry, plane geometry, and trigonometry.

　　Pre-Algebra/Elementary Algebra

　　算術/初級代數

　　· Pre-Algebra (23%). Questions in this content area are based on basic operations using whole numbers, decimals, fractions, and integers; place value; square roots and approximations; the concept of exponents; scientific notation; factors; ratio, proportion, and percent; linear equations in one variable; absolute value and ordering numbers by value; elementary counting techniques and simple probability; data collection, representation, and interpretation; and understanding simple descriptive statistics.

　　· 算術(23%)：運用所有的數字、小數、分數、整數，數位值、平方根、近似值，指數的概念，科學計算，因數，比率，比例，百分比，一次方程式，絕對值，基本計算方法和簡單概率，數據搜集，演示，推理及簡單統計分析的理解。

　　· Elementary Algebra (17%). Questions in this content area are based on properties of exponents and square roots, evaluation of algebraic expressions through substitution, using variables to express functional relationships, understanding algebraic operations, and the solution of quadratic equations by factoring.

　　·初級代數(17%)：指數性質，平方根，代數表達式的代入法，變量表達式，理解代數運算，二次方程式的因式分解。

　　Intermediate Algebra/Coordinate Geometry

　　中級代數/幾何坐標

　　· Intermediate Algebra (15%). Questions in this content area are based on an understanding of the quadratic formula, rational and radical expressions, absolute value equations and inequalities, sequences and patterns, systems of equations, quadratic inequalities, functions, modeling, matrices, roots of polynomials, and complex numbers.

　　· 中級代數(15%)：二次方程式公式的理解運用，有理數和根的表達式，絕對值等式和不等式，序列;主程組，二次不等式，函數，建模，矩陣，多項式的根。

　　· Coordinate Geometry (15%). Questions in this content area are based on graphing and the relations between equations and graphs, including points, lines, polynomials, circles, and other curves; graphing inequalities; slope; parallel and perpendicular lines; distance; midpoints; and conics.

　　· 幾何坐標(15%)：圖表，圖表與等式的關系，包括點、線、多項式和其他曲線;圖表與不等式，斜率，平行線和正交線，距離，中點和圓錐。

　　Plane Geometry/Trigonometry

　　平面幾何/三角形

　　· Plane Geometry (23%). Questions in this content area are based on the properties and relations of plane figures, including angles and relations among perpendicular and parallel lines; properties of circles, triangles, rectangles, parallelograms, and trapezoids; transformations; the concept of proof and proof techniques; volume; and applications of geometry to three dimensions.

　　· 平面幾何(23%)：平面圖形的性質和關系，包括角、平行線和正交線的關系，圓的屬性，三角形，矩形，平行四邊形，梯形，轉化，證明方法，體積，立體幾何的運用。

　　· Trigonometry (7%). Questions in this content area are based on understanding trigonometric relations in right triangles; values and properties of trigonometric functions; graphing trigonometric functions; modeling using trigonometric functions; use of trigonometric identities; and solving trigonometric equations.

　　· 三角(7%)：三角關系，三角函數的屬性和值，三角函數圖，三角函數建模，三角恒等式的運用和解三角等式。