Preface vii

PART 1: An Overview of the TI-92

. The Nine TI-92 Arenas 1

. The MODE Key 2

. Feeling at Home on the HOME Screen: Arithmetic Operations 5

. Algebra on the HOME Screen 6

. Some Editing Tips 10

. Graphing Functions and Displaying Tables 11

. The Zoom Graph Menu 19

.1 ZoomBox 20

.2 ZoomIn and ZoomOut 21

.3 ZoomDec 23

.4 ZoomSqr 23

.5 ZoomStd 25

.6 ZoomTrig 25

.7 ZoomInt 25

.8 ZoomFit 26

. The Math Graph Menu 26

.1 Value 27

.2 Zero, Maximum, and Minimum 27

.3 Intersection 29

.4 Derivatives and Tangent 30

.5 Integration 31

.6 Inflection 32

. Additional Types of Graphs 33

.1 Graphing Parametric Equations 33

.2 Polar Graphing 35

.3 Sequence Graphing 37

.4 3D Graphing 41

. The Calculus Menu 43

.1 differentiate 44

.2 integrate 46

.3 limit( 47

.4 sum and product 49

.5 fMin( and fMax( 49

.6 arcLen( 51

.7 taylor( 51

.8 nDeriv( 53

. Matrices and Systems of Equations 54

.1 Matrix Operations 55

.2 Systems of Linear Equations 58

. Statistics 59

1 Single Variable Statistics 60

2 Frequency Distributions 62

3 Two-Variable Statistics: Regression 65

 

. Geometry 66

1 The Pointer Menu 68

2 The Points and Lines Menu 68

3 The Curves and Polygons Menu 71

4 The Construction Menu 74

5 The Transformation Menu 85

6 The Measurement Menu 92

7 The Display Menu 97

PART 2: Explorations into the Mathematics Curricula

Exploration #1: Algebra: Linear Equations 103

Exploration #2: Algebra: Equations of Lines 107

Exploration #3: Geometry: Concurrency of the Altitudes of a Triangle 111

Exploration #4: Geometry: Locating a Minimal Distance Point 117

Exploration #5: Geometry: Napoleon's Theorem 123

Exploration #6: Precalculus: Polynomial Functions of Higher Degree 129

Exploration #7: Precalculus: Inverse Functions 137

Exploration #8: Precalculus: Approximating Solutions to Log/Exp Equations 141

Exploration #9: Calculus: The Definition of Derivative 147

Exploration #10: Calculus: Relative and Absolute Extrema 153

Exploration #11: Calculus: Newton's Method 161

Exploration #12: Calculus: Simpson's Rule 169

 

PART 3: Programming the TI-92    177

Introduction 177

Entering a New Program 177

A Function with a Loop 181

The Return Statement, Two-Way Selection, and Recursion 182

Addressing the Graphics Screen: The Sierpinski Triangle 183

A Guessing Game Using a While Loop and Pop-Up Menus 186

Graphing the Mean Value Theorem for Derivatives 188

Creating Toolbars to be Used with the CUSTOM Key 191