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Analysis on the knowledge range of SAT mathematics test questions in American college entrance examination
In March this year, the American College Entrance Examination SAT introduced a new SAT form and content, in which the scope and difficulty of the mathematics part were improved. The previous SAT math test was only equivalent to the math level of the third grade in China, which mainly tested students' basic knowledge and operational ability of four operations, factors, fractions, percentages, decimals and ratios. The basic knowledge of mathematics is very simple for junior high school students in China. In order to meet the actual needs of American university courses and textbooks, many new examination contents have been added to the mathematics part of the new SAT.
In mathematical operation, the concepts of continuous operation, positive increasing exponential operation, union, intersection, prime number and simple calculation in set theory are added. In the knowledge of algebra and function, we have added the absolute value, the equality and inequality of rational numbers, the calculation of positive and negative exponents and square roots, the variable relation of direct proportion and inverse proportion, the knowledge of function expression, the definition and value domain of function, the expression relation between function and simple physical model, the linear function and quadratic equation. In geometry and measurement, feature analysis of special triangles, knowledge of various tangency features, simple coordinate geometry, mutual transformation and expression between graphs and functions, etc. Has been added. Data analysis, simple matrix, statistics and probability analysis are added to the difficult problem.
For domestic SAT candidates, most of the above mathematics knowledge does not exceed the level of senior one mathematics. The matrix, statistics and probability analysis questions in the difficult part of SAT math test only involve the simplest questions in these mathematical concepts. Domestic candidates can quickly master the answering methods and skills of these questions through effective SAT preparation training and mock exams.