TI-84/83 Mathematics Manual - Tecumseh Local Schools

[Pages:145]TI-84/83 Mathematics Manual

Trish Cabral

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Introduction

Graphing calculators are powerful tools that we can use to quickly calculate numeric expressions, graph complicated functions, and analyze statistics.

This manual helps you use this tool effectively by showing you detailed keystroke directions that guide you through general directions and specific examples.

Which Graphing Calculators

The keystrokes given in this manual work for the following calculators: TI-84 Plus TI-84 Plus SE TI-83 Plus TI-83 Plus SE

Other Graphing Calculators

The examples in this manual will also generally work for the following calculators: (You may need to adjust a few keystrokes.)

TI-83 TI-82 Because mathematics is the same regardless of the calculator, the keystrokes given in this manual may also work for other graphing calculators.

Algebraic Calculators

The keystrokes given in this manual will not work for algebraic calculators. "Algebraic calculators" are calculators that do algebra, like the following:

TI-89 TI-92 If you have a TI-89, look for the "TI-89 Mathematics Manual."

How to Use This Manual

If you need help with a specific topic, look for it in one of the following: 1. The Brief Table of Contents ? an overview of topics in the order they appear 2. The Extended Table of Contents ? a detailed list of topics in the order they appear 3. The Index ? an alphabetical list of topics

You can also learn how to use many features of your calculator by starting on the first page of this manual and continuing to the end. Read the general directions. Then work the examples, entering the keystrokes given on you calculator.

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TI-84/83 Mathematics Manual

Brief Table of Contents

Preface An Introduction to this Manual

Section 1 Calculations with a Graphing Calculator

1

Section 2 Graphing Functions with a Calculator

9

Section 3 Trigonometry

27

Section 4 Polar Coordinates and Graphs

45

Section 5 Parametric Equations

52

Section 6 Solving Equations Using a Graphing Calculator

56

Section 7 Solving Systems of Equations Using a Graphing Calculator 68

Section 8 Linear Algebra

76

Section 9 Probability and Statistics

89

Section 10 Calculus

116

Index

127

Extended Table of Contents

Preface An Introduction to this Manual

Section 1

Calculations with a Graphing Calculator Layout The Second and Alpha Keys Screen Content The Cursor Menu Keys Important Keys The MATH Menu The MODE Menu Order of Operations Exponents and Radicals Evaluating an Expression from the Quadratic Formula Editing an Expression Storing a Number Entering Numbers in Scientific Notation Complex/Imaginary Numbers

Section 2

Graphing Functions with a Calculator The Graphing Calculator's Technique The Scale The Viewing Window Adjusting the Window Using WINDOW Using ZOOM

ZBox ZOOM IN/OUT ZDecimal ZSquare ZStandard ZTrig ZInteger ZStat ZoomFit Zoom Memory

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1 1 1 1 1 2 2 3 4 4 5 5 6 7 7 8

9 9 9 9 10 11 11 11 11 11 12 12 12 12 13 13 13

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Extended Table of Contents

Section 2 Continued

ZPrevious

13

ZoomSto/ZoomRcl

13

The Trace Command

13

Deleting a Function

14

Changing the Appearance of a Curve

14

Pausing a Graph

14

Choosing an Appropriate Window

14

Graphing Equations

17

Graphing Piecewise Functions

18

Evaluation

19

Using the Trace Command to Find Function Values

19

Function Notation

20

Using a Table

21

The y-Intercept

22

x-Intercepts

22

Extrema

24

Graphing Inverse Relations

25

Section 3 Trigonometry

27

Radian/Degree Mode

27

Converting Radians to Degrees

27

Converting Degrees to Radians

28

Approximate Values

28

Finding Trigonometric Values Using Degree Mode

28

Finding Values for Secant, Cosecant and Cotangent

Using Degree Mode

29

Degrees, Minutes, Seconds

30

Finding Acute Angles in Degrees

31

Finding Other Angles in Degrees

32

Finding Trigonometric Values Using Radian Mode

33

Finding Values for Secant, Cosecant and Cotangent

Using Radian Mode

34

Finding Acute Angles in Radians

35

Finding Other Angles in Radians

37

Evaluating a Trigonometric Function in Degrees

While in Radian Mode

38

Evaluating a Trigonometric Function in Radians

While in Degree Mode

38

Graphing the Trigonometric (Circular) Functions

in Radian Mode

38

ZTrig in Radian Mode

39

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