Carol Fisher's Homepage
Google
 
Web www.onemathematicalcat.org

MAP of
Scholastic Aptitude Test (SAT) MATHEMATICS CONTENT
to FISHER WEB SITE

Most of the mathematics concepts on the SAT (Scholastic Aptitude Test)
are covered thoroughly in my Algebra I, Geometry, and Algebra II online materials.
Missing concepts will be gradually filled in.

This page lists the SAT mathematics content, and then provides links to my web exercises covering the material.
Of course, concepts are often covered in many different exercises; I have tried to provide the most relevant links.

Here is the Collegeboard website used to determine the SAT mathematics content:  SAT Mathematics Review

Most students take the SAT in the spring term of their junior year and again in the fall term of their senior year of high school.

SAT CONTENT LINKS TO
FISHER SITE
NUMBER and OPERATION
arithmetic word problems
(including percent, ratio, and proportion)
changing decimals to percents(Algebra I)
changing percents to decimals(Algebra I)
writing expressions involving percent increase and decrease(Algebra I)
calculating percent increase and decrease(Algebra I)
problems involving percent increase and decrease(Algebra I)
more problems involving percent increase and decrease(Algebra I)
♥ similarity, ratios, and proportions(Geometry)
properties of integers (even, odd, prime numbers, divisibility, etc.)
divisibility(even, odd; Algebra I)
deciding if a number is a whole number, an integer, etc.(Algebra I)
adding fractions(prime numbers; Algebra I)
rational numbers
exact versus approximate(rational numbers; Algebra I)
logical reasoning
♥ practice with the mathematical words and, or, and is equivalent to(Algebra I)
♥ "if ... then ..." sentences(Geometry)
♥ contrapositive and converse(Geometry)
♥ proof techniques(Geometry)
♥ parallelograms and negating sentences(Geometry)
sets (union, intersection, elements)
♥ introduction to sets(Algebra I)
♥ advanced set concepts(Algebra II)
counting techniques
♥ choosing things: does order matter?(Algebra II)
♥ factorial notation(Algebra II)
♥ combinations and permutations(Algebra II)
sequences and series (including exponential growth)
♥ introduction to recursion and sequences(Algebra II)
♥ arithmetic and geometric sequences (Algebra II)
elementary number theory  
ALGEBRA and FUNCTIONS
substitution and simplifying algebraic expressions
practice with order of operations(Algebra I)
properties of exponents
practice with exponents(Algebra I)
basic exponent practice with fractions(Algebra I)
one-step exponent law practice(Algebra I)
multi-step exponent law practice(Algebra I)
algebraic word problems
♥ going from a sequence of operations to an expression(Algebra I)
♥ going from an expression to a sequence of operations(Algebra I)
translating simple mathematical phrases(Algebra I)
word problems involving perfect squares(Algebra I)
♥ simple word problems resulting in linear equations(Algebra I)
solutions of linear equations and inequalities
practice with the Addition Property of Equality(Algebra I)
practice with the Multiplication Property of Equality(Algebra I)
solving simple linear equations with integer coefficients(Algebra I)
solving more complicated linear equations with integer coefficients(Algebra I)
♥ solving linear equations involving fractions(Algebra I)
♥ solving linear equations, all mixed up(Algebra I)
♥ solving simple linear inequalities with integer coefficients(Algebra I)
♥ solving linear inequalities with integer coefficients(Algebra I)
♥ solving linear inequalities involving fractions(Algebra I)
systems of equations and inequalities
♥ introduction to systems of equations(Algebra II)
♥ solving systems using substitution(Algebra II)
♥ solving systems using elimination(Algebra II)
quadratic equations
♥ basic concepts involved in factoring trinomials(Algebra I)
factoring x2 + bx + c,   c > 0(Algebra I)
factoring x2 + bx + c,   c < 0(Algebra I)
factoring trinomials, all mixed up(Algebra I)
identifying quadratic equations(Algebra I)
writing quadratic equations in standard form(Algebra I)
solving simple quadratic equations by factoring(Algebra I)
♥ the quadratic formula(Algebra II)
rational and radical equations 
equations of lines
graphing lines(Algebra I)
finding equations of lines(Algebra I)
♥ point-slope form(Algebra I)
♥ horizontal and vertical lines(Algebra I)
absolute value
simplifying basic absolute value expressions(Algebra I)
determining the sign (plus or minus) of absolute value expressions(Algebra I)
solving simple absolute value sentences(Algebra I)
solving sentences like 2x - 1 = ±5(Algebra I)
♥ solving absolute value equations(Algebra I)
♥ solving absolute value inequalities involving "less than"(Algebra I)
♥ solving absolute value inequalities involving "greater than"(Algebra I)
♥ solving absolute value sentences (all kinds)(Algebra I)
♥ algebraic definition of absolute value(Algebra II)
direct and inverse variation
♥ Getting bigger? Getting smaller?(Algebra I)
concepts of algebraic functions
introduction to functions(Algebra I)
introduction to function notation(Algebra I)
♥ more practice with function notation(Algebra I)
♥ domain and range of a function(Algebra I)
♥ graphs of functions(Algebra II)
♥ basic models you must know(Algebra II)
♥ graphical interpretation of sentences like  f(x) = 0  and  f(x) > 0 (Algebra II)
♥ composition of functions(Algebra II)
newly defined symbols based on commonly used operations 
GEOMETRY and MEASUREMENT
area and perimeter of a polygon
♥ introduction to polygons(Geometry)
♥ introduction to area and perimeter(Geometry)
♥ area formulas: triangle, parallelogram, trapezoid(Geometry)
♥ perimeters and areas of similar polygons(Geometry)
area and circumference of a circle 
volume of a box, cube, and cylinder 
Pythagorean theorem and special properties of isoceles, equilateral, and right triangles
♥ the Pythagorean theorem(Geometry)
♥ two special triangles(Geometry)
♥ relationships between angles and sides in triangles(Geometry)
properties of parallel and perpendicular lines
♥ parallel and perpendicular lines(Algebra I)
♥ parallel lines(Geometry)
coordinate geometry
locating points in quadrants and on axes(Algebra I)
practice with points(Algebra I)
♥ the distance formula(Algebra I)
♥ the midpoint formula(Algebra I)
geometric visualization 
slope
introduction to the slope of a line(Algebra I)
♥ practice with slope(Algebra I)
similarity
♥ similarity, ratios, and proportions(Geometry)
♥ triangle congruence(Geometry)
transformations
♥ vertical and horizontal translations (moving up, down, left, and right)(Algebra II)
♥ vertical and horizontal scaling (stretching and shrinking)(Algebra II)
♥ reflecting about the  x  and  y  axes; the absolute value transformation(Algebra II)
♥ graphical transformations: all mixed up(Algebra II)
DATA ANALYSIS, STATISTICS, and PROBABILITY
data interpretation 
statistics (mean, median, and mode)
♥ summation notation(Algebra II)
♥ mean, median, and mode(Algebra II)
probability
♥ advanced set concepts(Algebra II)
♥ basic probability concepts(Algebra II)
♥ more probability concepts(Algebra II)
♥ probability tree diagrams(Algebra II)



© 2004–2007 Carol J.V. Fisher
 Creative Commons License
Please read my
TERMS OF USE