数学

ACT学院数学

ACT数学测试题可概括为三类

  考生经常会问:“哪些数学知识点是需要学习的考试重点?”幸运的是,我们可以告诉你哪些是ACT数学测试部分经常考到的数学知识点!这些数据直接来源于ACT出题者,适用于所有ACT数学测试环节。
  ACT数学测试题可概括为三大类:“算术/初级代数”,“中级代数/坐标几何”以及“平面几何/三角学”。
  算术/初级代数
  算术(20-25%):这部分的考题涉及的有整数、小数以及分数的运算;数位值,平方根和近似值;指数的概念;科学计数法;因数;比率,比例,百分比;一次方程式;绝对值及按值排列数字 ;基本计数方法及简单概率;数据搜集,演示以及推理;以及简单描述性统计的理解。
  初级代数(15-20%):指数的属性和平方根,代数表达式的代入法,变量表达式,代数运算的理解,二次方程式的因式分解。
  中级代数/坐标几何
  中级代数(15-20%):对二次方程式公式的理解,有理数和根的表达式,绝对值等式和不等式,序列,方程式组,二次不等式,函数,建模,矩阵,多项式的根以及复数。
  坐标几何(15-20%):图表,图表与等式的关系(其中包括点、线、多项式、圆和其他曲线);图形与不等式;斜率,正交线,距离,中点和圆锥。
  平面几何/三角
  平面几何(20-25%):平面图形的性质和关系,其中包括了角度,平行线和正交线的关系;圆的性质,三角形,矩形,平行四边形以及梯形; 转化;证明的概念和方法;体积;立体几何的运用。
  三角(5-10%):直角三角形,三角函数的值和属性,三角函数图,三角函数建模,三角恒等式的运用以及解三角等式。
  Test Fact: ACT Math Concepts
  Students constantly ask which math concepts are the most important to study, and luckily, we know the exact frequency of each concept tested on the ACT Math section! This data comes directly from the makers of the ACT and is true for every ACT Math section.
  The ACT Math section can be broadly grouped into three different question types: Pre-Algebra/Elementary Algebra, Intermediate Algebra/Coordinate Geometry, and Plane Geometry/Trigonometry.
  Pre-Algebra/Elementary Algebra
  Pre-Algebra (20-25%). 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.
  Elementary Algebra (15-20%). 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.
  Intermediate Algebra/Coordinate Geometry
  Intermediate Algebra (15-20%). 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.
  Coordinate Geometry (15-20%). 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.
  Plane Geometry/Trigonometry
  Plane Geometry (20-25%). 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.
  Trigonometry (5-10%). 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.

 



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