Download Math I and II - Math-SAT-II-Prep

Math I and II
Math I
http://sat.collegeboard.org/practice/sat-subject-test-preparation/mathematicslevel-1
Content
Approximate %
of Test
Number and operations
10%–14%

Operations, ratio and proportion, complex numbers, counting,
elementary number theory, matrices, sequences
Algebra and functions

38%–42%
Expressions, equations, inequalities, representation and modeling,
properties of functions (linear, polynomial, rational, exponential)
Geometry and measurement
38%–42%

Plane Euclidean
18%–22%

Coordinate Lines, parabolas, circles, symmetry, transformations
8%–12%

Three-dimensional Solids, surface area and volume (cylinders,
cones, pyramids, spheres, prisms)
4%–6%

Trigonometry Right triangles, identities
6%–8%
Data analysis, statistics and probability

8%–12%
Mean, median, mode, range, interquartile range, graphs and plots,
least squares regression (linear), probability
Math II
http://sat.collegeboard.org/practice/sat-subject-test-preparation/mathematicslevel-2
Content
Approximate
% of Test
Number and operations

Operations, ratio and proportion, complex numbers, counting,
elementary number theory, matrices, sequences, series, vectors
Algebra and functions

Expressions, equations, inequalities, representation and modeling,
properties of functions (linear, polynomial, rational, exponential,
logarithmic, trigonometric, inverse trigonometric, periodic, piecewise,
recursive, parametric)
Geometry and measurement
10%–
14%
48%–
52%
28%—
32%
10%—14%

Coordinate Lines, parabolas, circles, ellipses, hyperbolas, symmetry,
transformations, polar coordinates

Three-dimensional Solids, surface area and volume (cylinders, cones, 4%–6%
pyramids, spheres, prisms), coordinates in three dimensions

Trigonometry Right triangles, identities, radian measure, law of
cosines, law of sines, equations, double angle formulas
Data analysis, statistics and probability

Mean, median, mode, range, interquartile range, standard deviation,
graphs and plots, least squares regression (linear, quadratic,
exponential), probability
12%—16%
8%—
12%
ACT
http://www.actstudent.org/testprep/descriptions/mathcontent.html
Content Covered by the ACT Mathematics Test
In the Mathematics Test, three subscores are based on six content areas: prealgebra, elementary algebra, intermediate algebra, coordinate geometry, plane
geometry, and trigonometry.
Pre-Algebra/Elementary Algebra


Pre-Algebra (23%). 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 (17%). 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%). 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%). 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 (23%). 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 (7%). 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.
General strategy
Contents
Problem Solving Strategy for each topic, common mistake
Problem, past exams
content+strategy for the two topics
content: a brief summary of what the topic is about
strategy: divide up the topic into specific types of
problems(approximately 5-ish)
for each type, go through the process of solving a problem and give 1-2
sample Q and A
write several suggestions for test-taking strategy. make it personal.
Hilary: math 1 algebra+ math 2 number
Jingyao: math 2 number+math 1 algebra
Best: math 2 data+math 2 geometry
Ben, therefore:math 1 data+ math 1 geometry
Ben, also: find 2-3 whole set of practice test for both math 1 and math
2
http://sat.collegeboard.org/practice/sat-subject-test-preparation/mathematics-level-2