# PLATO: ACT COMPASS Placement & Diagnostic Tests

**Mathematics
Pre-Algebra/Numerical Skills**

Basic Operations with Integers

Basic Operations with Fractions

Basic Operations with Decimals

Exponents

Ratios & Proportions

Percentages

Conversions between Fractions & Decimals

Multiples & Factors of Integers

Absolute Values of Numbers

Averages (arithmetic means)

Order Concepts (greater/less than)

Estimation Skills

Number Theory

Counting Problems & Simple Probability

**Algebra**

Elementary Algebra

Elementary Algebra

Substituting Values into algebraic

Expressions

Setting up Equations for Given Situations

Basic Operations with Polynomials

Factoring of Polynomials

Solving Polynomials Equations by Factoring

Linear Equations in One Variable

Exponents

Linear Inequalities in One Variable

**Intermediate Algebra**

Rational Expressions

Exponents

Systems of Linear Equations in Two

Variables

Quadratic Formulas

Absolute Value Equations & Inequalities

**Coordinate Geometry**

Linear Equations in Two Variables

Distance Formulas in the Plane

Graphing Conics (circle, parabola, etc.)

Graphing Relations in the Plane

Graphing Systems of Equations/Rational

Functions

Midpoint Formulas

**College Algebra**

Functions

Functions & Their Graphs

Definitions of Functions

Graphs of Functions

More on Graphing Functions

Composite & Inverse Functions

Applications of Functions

Exponents

Exponents & Radicals

Exponential & Logarithmic Functions

Factorials

Common Factors

Factoring II

Factoring Special Cases

Factoring Trinomials I

Factoring Trinomials II

Review: Polynomials/Factoring

Systems of Linear Equations in 3 or More

Variables

Systems – Substitute

Systems – Addition

Word Problems

Roots of Polynomials

Simple Quadratics

Quadratic Equations

Quadratic Formula

Word Problems Ii

Review: Math Sentences

**Geometry**

Triangles

The Pythagorean Theorem – Geometry

& Measurement 1

Triangles & Lines

Congruent Triangles, Part 1

Congruent Triangles, Part 2

Congruent Triangle Problems

Angles in Pairs

Transitive Properties of Lines

The Sum of the Angles in a Triangle

The Pythagorean Theorem 2

Solving the Right Triangle Problems

30 – 60 Degree Right Triangles

Proportionality

A Sense of Proportion

Not Everything Is Created Equal

Area of Right Triangles &

Parallelograms

Area of Any Triangle

Circles

Circles/Arcs/Circumferences

Circles

Introduction to Circles

Tangents

Arcs & Chords

Inscribed Angles

Circles & Angles

Circles & Segments

Measuring Circumference

The Length of Arcs

The Area of Circles

Angles

Special Angles, Part 1

Special Angles, Part 2

Congruent Angles

Supplementary & Complementary

Angles

Two of a Kind

Rectangles

Special Angles, Part 1

Special Angles, Part 2

Area, Part 1

Area, Part 2

Three-dimensional Concepts

Coordinates in Three Dimensions

Hybrid (composite) Shapes

Symmetry

Translations

Rotations

Trapezoids

Rhombuses & Trapezoids

Area of Trapezoids & Rhombuses

Parallelograms

Parallelograms, Part 1

Parallelograms, Part 2

**Trigonometry
**

Trigonometric Functions & Identities

Radian Measure

Circular Functions

Three More Trigonometric Functions

Trigonometric Identities of a Single

Variable

Trigonometric Identities II

Right-triangle Trigonometry

Trigonometric Equations & Inequalities

Trigonometric Equations

Inverse Trigonometric Functions:

Trigonometry

Graphs of trigonometric functions

Graphing Trigonometric Functions

Special angles (multiples of 30 & 45

degrees)

Laws of Sines & Cosines

Polar Coordinates

**Reading**

Reading Passages

Reading Passages

Social Sciences

Economics

Scarcity

Economic Systems

Production

Division of Labor

Goods & Services

Consumption

Circular Flow of Economic Activity

Public Policy

Behavioral Science

Culture

Norms

Social Systems

Socialization

Stratification

Cultural Change

Conformity

Interaction

Political Science

Reading the Social Sciences

Natural Sciences

Prose Fiction

Humanities

Practical Reading

**Reading Comprehension**

Reasoning Items

Main Idea of a Passage with Multiple

Paragraphs

Main Idea of a paragraph

Advanced Reading Strategies

A Reading Strategy

Building Reading Skills

Reading the Social Sciences

Reading Literature

Reading History

Reading Science

Recognizing Sequential Relationships

Understanding Logical Relationships 1

Understanding Logical Relationships 2

Chronological & Logical Order

Recognizing Cause-Effect Relationships

Understanding Logical Relationships 1

Understanding Logical Relationships 2

Cause & Effect - Intermediate

Recognizing Comparative Relationships

Understanding Logical Relationships 1

Understanding Logical Relationships 2

Comparison & Contrast

Recognizing Explicit Evidence

Reading Business Letters