Contents -- Introduction -- Chapter 1 About Pre-Calculus -- Talk of Math -- Most People -- Places for Games -- Computer Games and Classrooms -- Visual Formula -- A Part of Life -- Disorganized Territory -- Algebra and Trigonometry -- Additional Reading -- Chapter 2 Number Systems and Properties -- Number Systems -- Natural or Counting Numbers -- Whole Numbers Offer You Zero -- Integers Provide Negative Numbers -- Rational Numbers -- No Division by Zero -- Variations on Rational Numbers -- Real Numbers -- Properties -- Commutative Property -- Associative Property -- Distributive Property -- Identity and Inverse Properties -- Multiplication and Division -- Multiplication and Division with Two Numbers -- Multiplication and Division with More Than Two Numbers -- Using Visual Formula -- Conclusion -- Chapter 3 Sets, Exponents, Roots, and Radicals -- Sets -- Elements -- Subsets and Supersets -- Expressions to Define Sets -- Unions and Intersections -- Disjunctions -- Venn Diagrams -- Exponents -- Negative Numbers with Powers -- Multiplication -- Division -- Division with a Negative Exponent -- Negative Numbers and Exponents -- Powers of Powers -- Powers of Zero and One -- Worked Problems with Exponents -- Scientific Notation -- A Few Worked Problems -- Absolute Values -- Radicals and Roots -- A Few Worked Problems -- Using Visual Formula -- Conclusion -- Chapter 4 Expressions, Relations, and Functions -- Basic Factoring -- Order of Operations -- More on Sets -- Correspondence Between Sets -- Domain and Range -- Cartesian Coordinates -- Functions -- Non-Functional Relationship -- Discontinuous Lines -- Designating Functions -- Using Visual Formula -- Conclusion -- Chapter 5 Functions and More Functions -- Thinking About Equations -- Addition and Subtraction -- Combining Operations -- Approaching Equations in Different Ways.

Least Common Denominators and Clearing Fractions -- More on Absolute Values -- Inequalities -- Addition and Subtraction of Values -- Multiplication and Division of Values -- Conclusion -- Chapter 6 Lines, Slopes, and Functions -- Reviewing Domain and Range -- Linear Functions -- Slope -- y-Intercept -- Negative Slopes -- Negative Shifts -- What Makes a Function Linear? -- Slopes That Do Change -- Points, Intercepts, and Slopes -- The Point-Slope Equation -- Using Visual Formula -- Conclusion -- Chapter 7 Distances and Other Things -- More Slopes -- Making It Easy -- Making It Still Easier -- The Distance Between Points -- Applying the Pythagorean Theorem -- The Distance Formula -- Perpendicular Lines -- Depicting Absolute Values -- Translation and Shift -- Slopes -- More on Symmetry -- Alternate Forms of Symmetry -- Inverses Generally -- Using Visual Formula -- Conclusion -- Chapter 8 Polynomial Equations -- Polynomials -- Working with Polynomials -- Solving Equations -- Addition and Subtraction Activities -- Multiplication and Division Activities -- Monomial and Binomial Expressions -- Sums, Differences, and Squares -- FOIL Strategies -- Polynomial Multiplication -- Reviewing Long Division -- Long Division in Algebra -- Using Visual Formula -- Conclusion -- Chapter 9 Quadratic Equations -- Quadratic Equations -- Quadratic Appearances -- Changing Appearances -- Positive and Negative -- Widening a Parabola -- Narrowing a Parabola -- Translation Along the x and y Axes -- Translating to the Right -- Translating to the Left -- Inverting and Translating -- Arbitrary Vertex Positions -- The x-intercepts -- Standard Forms -- Completing the Square -- The Quadratic Formula -- The Discriminant -- Using Visual Formula -- Conclusion -- Chapter 10 Visual Formula, Important Graphs, Inequalities, and Other Things -- Compare and Contrast -- Linear Graphs.

Changing the Intercept Value -- Changing the Scale -- Setting Up a Contrasting Line -- Lines That Parallel the x and y Axes -- Absolute Values -- Nonlinear Absolute Values -- Even and Odd Exponential Values -- Roots -- Graphs of Inverses -- Varieties of Translation -- Parabolas -- Parallel Lines -- Odd Exponents and Translations -- Translating Absolute Values -- Flipping Across the Axis -- Linear Flips -- Absolute Value Flips -- Flipping Parabolas -- Inverting and Shifting Parabolas -- To the Right -- To the Left -- Absolute Values -- Conclusion -- Chapter 11 Systems and Matrices -- Shared Solutions -- Substitution -- Systems Solved by Adding and Multiplying -- Variations on Themes -- Change the Order -- Preliminary Multiplications -- Systems with No Solutions -- An Infinite Number of Solutions -- Systems with Three Variables -- STEP 1 -- STEP 2 -- STEP 3 -- STEP 4 -- STEP 5 -- Matrices -- Working with a 2-by-3 Matrix -- Working with a 3-by-4 Matrix -- Conclusion -- Chapter 12 Trigonometry -- The Ratios of Trigonometry -- Angles and Sides -- The Pythagorean Theorem -- Circles and the Sine of 2 -- Degrees and Radians -- Circumference and Radians -- Degrees and Radians -- Radians to Degrees -- Trigonometric Ratios -- Ratios and Degrees -- Rotation -- Rotation and the Unit Circle -- Plotting Sine Values -- Negative Values -- Plotting Cosine Values -- Defining Tangents and Cotangents -- Plotting Tangent Values -- Plotting Cotangent Values -- Plotting Secant Values -- Plotting Cosecant Values -- Using Visual Formula -- Conclusion -- Appendix A: Answers to the Exercise Sets -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- X -- Y -- Z.