Chapter One introduces Formulae 1 (F1) and it's intuitive Interface. The chapter is comprised of six sections. Section 1.1 describes F1's Graphical User Interface (GUI); The Tree Area, The Buttons Area, The Status Area and The Canvas Area. Each of these areas are described in full, with figures and examples provided where applicable.

Section 1.2 outlines how to Build Expressions using F1. This section again, is subdivided with the headings of; Manipulating Expressions, Arranging Expressions, Grouping Expressions, Selecting Expressions, and Dragging, Dropping and Re-arranging Expressions. Each of these sub sections are described in full with an example provided for each.

Section 1.3-1.5 describes how to Type Variables (including the Greek Alphabet), Typing Functions and Special Symbols (Integrals, Derivatives, Binomial Expansion etc.) as well as how to Typing Relations.

The Final Section, briefly outlines the rest of the User's Guide, and introduces key commands for F1.

Part of Formulae 1's GUI is the Notebook. The Notebook is composed of Text Items and Equation Items. This feature allows the user to add text throughout a problem. Chapter Two introduces the Notebook, as well as presenting the commands and menus that are essential to familiarize the User with the Notebook's capabilities. Any text added to the Notebook can be fully manipulated in the sense that it's font, size and style can be altered. An example of solving a problem using the Notebook is provided.

Chapter Three introduces some problems using the Isolate function. The problems vary from simple problems, to solving for a variable, and using the Isolation techniques with Matrices. This chapter not only focuses on the Isolate command, it also utilizes many other commands including; factor, complete the squares, and creating new matrices.

This chapter presents some of the most often used commands related to polynomial manipulations. It provides detail into describing the two types of factor commands employed by F1; sfactor (simple factor) and factor. This chapter also evaluates GCDs, Long Division, Partial Fraction Expansion and much more.

Chapter Five briefly introduces Functions. Functions are also covered in more detail in later chapters when looking at Grade 11 and 12 math. This chapter outlines how to input a Function into F1 and then how to manipulate them. Finally, recursive Functions (Chebychev Polynomials) are also presented.

Chapter Six goes into thorough detail how to plot graphs, as well as manipulate them once they are plotted. (The latter chapters also encompass Graphing since it is a part of Functions and Relations). The first section of the chapter is Exploring Graphing; Plotting, Selecting a Plot, Deleting a Plot, Multiple Plots, Turning the Grid On/Off, Turning the Axis On/Off, Panning and Zooming and much more. Once the basics of Graphing have been discussed, Chapter Six Graphs some Functions and Trigonometric Functions (these are also done in later chapters).

What sets this User's Guide aside from "all the rest" is it's step by step tutorials from Grade 9 through to and including Grade 12. Chapter Seven pedagogically follows step by step the standard curriculum of Grade 9 mathematics. Some of the problems include; Converting Fractions to Decimals, Dealing with Integers, Working with Fractions, Introduction to Monomials, Binomials, and Polynomials, Working with Absolutes, Powers, Simplifying Algebraic Expressions, Manipulating Polynomials, Factoring Difference of Squares, Solving Equations by Factoring and much more.

Chapter Eight is dedicated to problems related to Grade 10. Some of these include; Manipulating Radicals (Roots), Polynomials, and Monomials, Simplifying, Expanding and Factoring Expressions, Solving Equations using Isolation, Finding Common Factors, and Solving for the Quadratic Equation. There is some overlap between Grade 9 and Grade 10 mathematics, which is also outlined in Chapter Eight.

Grade 11 is where math begins to become difficult for some students. Careful attention has been paid throughout the whole User's Guide, however greater emphasis was placed on Grade 11 and Grade 12 (Chapter Ten) problems. The problems outlined for Grade 11 are thorough, providing full explanations to each step. Some of the problems include; Real Numbers as Powers, The Concept of Functions, Plotting from a Table, and plotting Functions, Graphing the Inverse of a Function, Transforming Functions, Manipulating Polynomials, Factoring, Rational Expressions, Graphing Quadratic Functions, Finding and Graphing Intercepts, Regions bounded by Parabolas, Solving Quadratic Equations, Complex Arithmetic and much more.

There is some overlap between Grade 11 and Grade 12, however Chapter Ten focuses mainly on the more complicated or advanced level of Grade 12. It's problems include; Solving Equations with Radicals and Absolutes, Graphing Inequalities, Translating Relations, Introducing Circular Functions and Trigonometry, Transforming the Sine and Cosine Function, Right Angle Triangle Problems, Trigonometric Ratios, Logarithms and much more.

Chapter Eleven is divided into five sections. Each of these sections cover High School's upper level mathematics (Grade 13). They include; Limits, Derivatives, Implicit Derivatives, Integrals, and Matrices. The Limits section covers some simple Limit problems as well as more challenging problems. It also solves Limits using Long Division, and L'Hôpital's Rule, as well as solving Limits with Square Roots.

The Derivatives section solves some simple Derivatives, Derivatives by the Limit Method, and an Implicit Derivative problem.

The Integrals section introduces Integrals with Exponents and Integrals with a ln(x) Functions. As well, there are examples of Applying Partial Fractions, Integration By Parts to solve Integrals, Trigonometric Substitution and much more.

The Matrices section describes some simple Matrices problems, viewing the Variable Tables, Inverse Matrix, and Function in the Quadratic Form, Calculating Determinants, and Solving Determinant Equations as well as exploring Eigenvalues.

Appendix A provides a list of all operations available to Formulae 1, with a graphical description to their location. The operations are listed under their appropriate command folder. Where applicable, an example of the operation is provided. Appendix A also describes those commands that are available at all times system wide.

Appendix B describes the menu options that are commonly used with Formulae 1 and its Notebook. These include; The File Menu and the Root Command Folder. The operations employed by the File Menu are the same options used in other Macintosh Software i.e. Open, Save, Print, Close etc.