浅谈新SAT数学教学法 变与不变

旧SAT

新SAT

1. Number and operations——22%

Ø  Properties of integers

Ø  Arithmetic word problem

Ø  Number line

Ø  Square and square roots

Ø  Fraction and rational number

Ø  Factor, multiple, remainder

Ø  Ratio, proportion, percent

Ø  Sequences

Ø  Set

Ø  Counting problem

Ø  Logical problem

1. Heart of Algebra —— 33%

Ø  Analyzing and fluently solving linear equations and systems of linear equations

Ø  Creating linear equations and inequalities to represent relationships between quantities and to solve problems

Ø  Understanding and using the relationship between linear equations and inequalities and their graphs to solve problems

2. Algebra and functions——37%

Ø  Factoring

Ø  Exponents

Ø  evaluating expressions with exponents and roots

Ø  solving equations

Ø  absolute values

Ø  Inequalities

Ø  systems of linear equations and inequalities

Ø  word problems

Ø  functions

2. Problem Solving and Data Analysis(Calculator) —— 29%

Ø  Creating and analyzing relationships using ratios, proportional relationships, percentages, and units

Ø  Representing and analyzing quantitative data

Ø  Finding and applying probabilities in context

3. Geometry and measurement——28%

Ø  Point, line, plane

Ø  Triangles (equilateral triangles, isosceles triangles, right triangles and Pythagorean theorem, the triangle inequality)

Ø  Quadrilaterals (parallelogram, rectangles, squares)

Ø  Polygon

Ø  Areas and perimeter

Ø  Circles (diameter, radius)

Ø  Solid geometry

Ø  Coordinate geometry

3. Passport to Advanced Math —— 28%

Ø  Identifying and creating equivalent algebraic expressions

Ø  Creating, analyzing, and fluently solving quadratic and other nonlinear equations

Ø  Creating, using, and graphing exponential, quadratic, and other nonlinear functions

4. Data analysis, Statistics and probability——13%

Ø  Data interpretation

Ø  Statistics (arithmetic mean, median, mode, range)

Ø  Elementary probability

4. Additional Topics in Math —— 10%

Ø  Solving problems related to area and volume

Ø  Applying definitions and theorems related to lines, angles, triangles, and circles

Ø  Working with right triangles, the unit circle, and trigonometric functions