GRE/GMAT Quantitative Workshops
SPRING 2016—WORKSHOP DETAILS
Instructor: Ben Wallace
Day/Time: Thursdays, 5:30-7:30 p.m.
Location: 206 Burke Center
Materials: calculator
Recommended Supplemental workbooks (not needed in class):
Kaplan "GRE Premier 2014" or "GRE Premier 2015"
Princeton Review "Cracking the GRE"
Schedule of Topics by Date
FEBRUARY 4, 2016
Beginning Algebra: verbal expressions, order of operations, factors and multiples, adding and
subtracting rational numbers, multiplying rational numbers, dividing rational numbers, The Distributive
Property
Equations: one-step equations, two-step equations, multi-step equations, absolute value equations,
mixture word problems, distance, rate, time word problems
Verbal Reasoning: reading comprehension, and sentence equivalence of mathematical examination
questions.
FEBRUARY 11, 2016
Exponents: properties of exponents, graphing exponential functions, writing scientific notation,
operations and scientific notation
Radical Expressions: simplifying single radicals, The Distance Formula, The Midpoint Formula, adding
and subtracting, multiplying, dividing, equations
Rational Expressions: simplifying and excluded values, multiplying and dividing, adding and subtracting,
equations
FEBRUARY 18, 2016
Inequalities: graphing single-variable inequalities, one-step inequalities, two-step inequalities, multistep inequalities, compound inequalities, absolute value inequalities
Linear Equations and Inequalities: slope, more on slope, graphing linear equations, writing linear
equations, graphing linear inequalities, graphing absolute value equations
Systems of Equations and Inequalities: solving by graphing, solving by elimination, solving by
substitution, graphing systems of inequalities, word problems.
FEBRUARY 25, 2016
Polynomials: naming, adding and subtracting, dividing, multiplying, multiplying special cases
Factoring: quadratic expressions, special cases, by grouping
Quadratic Functions: graphing, solving equations by taking square roots, solving equations by factoring,
solving equations with The Quadratic Formula, understanding the discriminant, solving equations by
completing the square
MARCH 3, 2016
Data Displays: analyzing graphs, charts, etc.
Proportions and Percentages: solving proportions, percentages, percent of change
Probability and Statistics: sample space, outcomes, likelihoods, independent/dependent events, mean,
median, and mode
Data Sufficiency Questions: type of question focused for the GMAT exam
MARCH 10, 2016—No class meeting due to Behrend spring break
MARCH 17, 2016
Basics of Geometry: classifying angles, basic angle terminology, Angle Addition Postulate, angle
relationships, geometric diagrams and notation
Parallel Lines and the Coordinate Plane: parallel lines and transversals, points on the coordinate plane,
The Midpoint Formula, The Distance Formula, slope and lines, graphing linear equations, writing linear
equations
Constructions: line segments, perpendicular segments, angles, triangles, medians of a triangle, altitudes
of a triangle, angle bisectors, circles
MARCH 24, 2016
Congruent Triangles: Classifying triangles, triangle angle sum, Exterior Angle Theorem, Triangles &
Congruence, proving triangles congruent, isosceles and equilateral triangles
Properties of Triangles: angle bisectors, medians, centroid, Triangle Inequality Theorem, inequalities in
one triangle
Right Triangles: The Pythagorean Theorem, Multi-step Pythagorean Theorem problems, special right
triangles, multi-step special right triangle problems, Surface Area and Volume
MARCH 31, 2016
Quadrilaterals and Polygons: classifying, angles, parallelograms, trapezoids, area of triangles and
quadrilaterals, Polygon Basics, area of regular polygons
Similarity: solving proportions, similar polygons, similar triangles, similar right triangles, proportional
parts in triangles and parallel lines
Transformations: translations, rotations, and reflections
APRIL 7, 2016
Circles: naming arcs and central angles, measures of arcs and central angles, arcs and chords,
circumference and area, arc length and sector area, inscribed angles, tangents, secant and tangent
angles, segment measures, using equations of circles, writing equations of circles
APRIL 14, 2016
Solid Figures: identifying, volume, and area; nets of solids, similar solids