ACT考试数学部分考试大纲.

2017-08-13 作者： 391阅读

　　ACT考试数学测试部分，共六个方面的内容组成了三个部分的得分：算术、初级代数、中级代数、几何坐标、平面几何、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

　　算术/初级代数

　　� 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.

　　� 算术(23%)：运用所有的数字、小数、分数、整数，数位值、平方根、近似值，指数的概念，科学计算，因数，比率，比例，百分比，一次方程式，绝对值，基本计算方法和简单概率，数据搜集，演示，推理及简单统计分析的理解。

　　� 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.

　　�初级代数(17%)：指数性质，平方根，代数表达式的代入法，变量表达式，理解代数运算，二次方程式的因式分解。

　　Intermediate Algebra/Coordinate Geometry

　　中级代数/几何坐标

　　� 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.

　　� 中级代数(15%)：二次方程式公式的理解运用，有理数和根的表达式，绝对值等式和不等式，序列;主程组，二次不等式，函数，建模，矩阵，多项式的根。

　　� 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.

　　� 几何坐标(15%)：图表，图表与等式的关系，包括点、线、多项式和其他曲线;图表与不等式，斜率，平行线和正交线，距离，中点和圆锥。

　　Plane Geometry/Trigonometry

　　平面几何/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.

　　� 平面几何(23%)：平面图形的性质和关系，包括角、平行线和正交线的关系，圆的属性，三角形，矩形，平行四边形，梯形，转化，证明方法，体积，立体几何的运用。

　　� 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%)：三角关系，三角函数的属性和值，三角函数图，三角函数建模，三角恒等式的运用和解三角等式。