Stuyvesant High School

Topics to be covered for the Stuyvesant High School Placement Exam for students who have completed Traditional Algebra.

 

Topics are aligned with the book: Reviewing Integrated Mathematics, Course I by Marilyn Occhiogrosso

 

 

Algebra

Sets and Operations with Sets

Number Lines

Absolute Value

Signed Numbers

Order of Operations

Bases, Exponents, and Powers

Operations with Monomials

Adding and Subtracting Polynomials

Subtracting Polynomials and Solving Linear Equations

Multiplying Monomials and Polynomials

Power of a Product

Multiplying a Polynomial by a Monomial

Multiplying Two Polynomials

Dividing Polynomials

Dividing a Polynomial by a Monomial

Squaring Binomials

Dividing a Polynomial by a Polynomial

Multiplying Binomials

Factoring: Greatest Common Monomial Factor

Factoring: Difference of Two Squares

Factoring: Trinomials

Factoring: Combining Several Methods

Solving Quadratic Equations by Factoring

Solving Quadratic Equations: Verbal Problems

Multiplying Rational Expressions

Dividing Rational Expressions

Adding and Subtracting Rational Expressions (Same Denominator)

Adding and Subtracting Rational Expressions (Different Denominator)

Solving Fractional Equations

Solving Fractional Equations: Verbal Problems

Percentage Problems

Solving Systems of Linear Equations (Add/Subtract Method)

Solving Systems of Linear Equations (Substitution Method)

Solving Systems of Linear Equations (Mixed)

Multiplying and Dividing Radical Expressions

Adding and Subtracting Radical Expressions

Solving Quadratic Equations by Taking Square Roots

Solving Inequalities

Graphing Inequalities

Solving Inequalities: Verbal Problems

Logic

Using Truth Tables to Prove Logical Statements

Negations

Conjunctions and Disjunctions

Conditionals and Biconditionals

Converse, Inverse and Contrapositive

 

Geometry

Geometric Figures: Parallelograms, Triangles, Trapezoids

Complementary and Supplementary Angles

Vertical Angles

Angles and Parallel Lines

Angles and Perpendicular Lines

Angles and the Triangle

Isosceles, Equilateral and Right Triangles

Pythagorean Theorem

Perimeter and Area

Geometry of the Circle

Circumference and Area of a Circle

Volume

Ratio and Proportion

Direct Variation

Similar Polygons

Ratio and Proportion: Verbal Problems including

Perimeters and Areas of Similar Polygons

Ordered Number Pairs and Points in a Plane

Slope of a Line

Equation of a Line: Slope-Intercept Form

Graphing Lines

Graphing Linear Inequalities

 

Transformations

Line Reflection and Line Symmetry

Point Reflection and Point Symmetry

Translation

Dilation

Rotation

Probability and Statistics

Counting Principle

Factorial, Permutations

Simple Probability

Sample Spaces

Event A and B, Event A or B

Mode, Mean and Median

Histograms