SAT数学知识点
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SAT 数学知识点一
Number and Operations Review
一、Properties of integers
知道下列说法表示的内容：
1. Integers consist of the whole numbers and their
negatives (including zero).
2. Integers extend infinitely in both negative and
positive directions.
3. Integers do not include fractions or decimals.
4. Negative integers
5. Positive integers
6. The integer zero is neither positive nor negative.
7. odd numbers（奇数） and even numbers（偶数）
8. Consecutive integers
9. Addition of integers(奇数偶数的加法规则)
10. Multiplication of integers（奇数偶数的乘法规则）
二、Arithmetic word problems（算术题）
三、Number lines（数轴）
四、Square and square roots（平方和平方根）
五、Fractions and rational numbers（分数与有理数）
六、Elementary number theory
☆ Factors, multiples, and remainders
☆ Prime numbers
七、Ratios, proportions, and percents
八、Sequences
九、Sets(union, intersection, elements)
十、Counting problems Counting problems involve figuring out how many
ways you can select or arrange members of groups,
such as letters of the alphabet, numbers or menu
selections.
☆Fundamental counting problems
分步完成事件和分类完成事件发生的可能性
☆Permutations and combinations （排列组合）
基本排列组合理论
十一、Logical reasoning
The SAT doesn’t include
1. Tedious or long computations
2. Matrix operations
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SAT数学知识点二
Algebra and Functions Review
Many math questions require knowledge of
algebra. This chapter gives you some further
practice. You have to manipulate and solve a
simple equation for an unknown, simplify
and evaluate algebraic expressions, and use
algebraic expressions, and use algebraic
concepts in problem-solving situations.
For the math questions covering algebra
and functions content, you should be
familiar with all of the following basic skills
and topics:
一、Operations on algebraic expressions
二、Factoring
三、Exponents
四、Evaluating expressions with exponents
and roots
五、Solving equations
☆Working with “unsolvable” equations
☆Solving for one variable in terms of another
☆Solving equations involving radical
expressions
六、Absolute value 七、Direct translation into mathematical
expressions
八、Inequalities
九、Systems of linear equations and
inequalities
十、Solving quadratic equations by factoring
十一、Rational equations and inequalities
十二、Direct and inverse variation
十三、Word problems
十四、Functions
☆ Function notation and evaluation
☆ Domain and range
☆ Using new definitions
☆ Functions as models
☆ Linear functions: their equations and
graphs
☆ Quadratic functions: their equations and
graphs
☆ Qualitative behavior of graphs and
functions
☆ Translations and their effects on graphs
and functions
The SAT doesn’t include:
一、 Solving quadratic equations that
require the use of the quadratic
formula
二、 Complex numbers
三、 Logarithms
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SAT数学知识点三
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Geometry and Measurement Review
Concept you should to know
For the mathematics questions covering
geometry and measurement concepts, you
should be familiar with all of the following basic
skills, topics, and formulas:
一、Geometric notation
二、Points and lines
三、Angles in the plane
四、Triangles(including special triangles)
☆Equilateral triangles
☆Isosceles triangles
☆Right triangles and the Pythagorean theorem
☆30º-60º-90ºtriangles
☆45º-45º-90ºtriangles
☆3-4-5 triangles
☆Congruent triangles
☆Similar triangles
☆The triangle inequality
五、Quadrilaterals
☆Parallelograms
☆Rectangles
☆Squares
六、Areas and Perimeters
☆Areas of squares and rectangles
☆Perimeters of squares and rectangles
☆Area of triangles
☆Area of Parallelograms
七、Other polygons
☆Angles in a polygon
☆Perimeter
☆Area
八、Circles
☆Diameter
☆Radius
☆Arc ☆Tangent to a circle
☆Circumference
☆Area
九、Solid geometry
☆Solid figures and volumes
☆Surface area
十、Geometric perception
十一、Coordinate geometry
☆Slopes, parallel lines, and perpendicular
lines
☆The midpoint formula
☆The distance formula
十二、Transformations
The SAT doesn’t include:
一、Formal geometric proofs
二、Trigonometry
三、Radian measure
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