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### Students may only use a calculator on the Subject Tests in Mathematics Level 1 and Mathematics Level 2. Both the Subject Test in Mathematics Level 1 and the Subject Test in Mathematics Level 2 have some questions that require the use of at least a scientific calculator. Students can take these tests without using a calculator, but it may put them at a disadvantage

SAT I Math Curriculum

as per The Official SAT  Study Guide

Number of questions in the mathematics section will be

v     Multiple choice questions :44

v     Student-produced response questions, to fill in a response: 10

Categories of questions:

 1. Number and operations 2. Algebra and functions 3. Geometry and measurement 4. Data analysis, statistics and probability

1.Number and Operations

Properties of integers

Arithmetic word problems

Number lines

Squares and square roots

Fractions and rational numbers

Elementary number theory

·      Factors, multiples, and remainders

·      Prime numbers

Ratios, proportions, and percents

Sequences

Sets ( union, intersection, elements )

Counting problems

Logical reasoning

Note: The SAT doesn’t include a) tedious or long computations b) matrix operations

2. Algebra and Functions

Operations on algebraic expressions

Factoring

Exponents

Evaluating expressions with exponents and roots

Solving equations

·         Working with unsolvable equations

·         Solving for one variable in terms of another

·         Solving equations involving radical expressions

Absolute value

Direct translation into mathematical expressions

Inequalities

Systems of linear equations and inequalities

Rational eccquations and inqualities

Direct and inverse variation

Word problems

Functions

·         Function notation and evaluation

·         Domain and range

·         Using new definitions

·         Functions as models

·         ◦◦Linear functions: their equations and graphs

·         Quadratic functions: their functions and graphs

·         Qualitative behavior of graphs and functions

·         Translations and their effects on graphs of functions

Note: The SAT doesn’t include

a) Solving quadratic equations that require the use of the quadratic formula

b) Complex numbers

c) Logarithms

3. Geometry and Measurment

Geometric notation

Points and lines

Angles in the plane

Triangles ( including special triangles )

·         Equilateral triangles

·         Isosceles triangles

·         Right triangles and the Pythagorean Theorem

·         30º-60º-90º triangles

·         45º-45º-90º triangles

·         3-4-5 triangles

·         Congruent triangles

·         Similar triangles

·         The triangle inequality

·         Parallelograms

·         Rectangles

·         Squares

Areas and perimeters

·          Areas of squares and rectangles\

·          Perimeters of squares and rectangles

·          Area of triangles

·          Area of parallelograms

Other polygons

·         Angles in a polygon

·         Perimeter

·         Area

Circles

·         Diameter

·         Arc

·         Tangent to a circle

·         Circumference

·         Area

Solid geometry

·         Solid figures and volumes

·         Surface area

Geometric perception

Coordinate geometry

·         Slopes, parallel lines, and perpendicular lines

·         The midpoint formula

·         The distance formula

Transformations

Note: The SAT doesn’t include a) Formal geometric proofs b) Trigonometry c) Radian measure.

4. Data Analysis, Statistics, and Probability

Data interpretation

Statistics

·         Arithmetic mean

·         Median

·         Mode

·         Weight average

·         Average of algebraic expressions

·         Using averages to find missing numbers

Elementary probability

Geometric probability

Note: The SAT doesn’t include

Computation of standard deviation