# Maths Quest Manual for the TI-Nspire CAS Calculator 4E & eBookPLUS

Author/s |
Rozen |
---|---|

ISBN13 | 9780730341192 |

Pub date | August 2011 |

Pages | 253 |

RRP | $30.95 |

* Maths Quest Manual for the TI-Nspire CAS calculator and eBookPLUS 4E* (Operating System v3) is a comprehensive step-by-step guide using the TI-Nspire CAS calculator. It is designed to help students and teachers to integrate Computer Algebra Systems (CAS) into their learning and teaching of Mathematics.

*Includes*

**eBookPLUS:**

**An electronic version of the manual that contains a complementary set of digital resources, available online at the**

**jacarandaPLUS website**

*(www.jacplus.com.au).**:*

**eBookPLUS Features**• Calculator screen shots are now in full colour

• New calculator functions, such as Vernier Dataquest, are explained

• Each chapter is divided into ‘How to' sections that provide clear,

step-by-step instructions to the user

• Easy-to-follow keystrokes and screen shots are accompanied by explicit

explanations

• Worksheets for almost every section are provided for further practice

• A chapter of problem-solving questions with fully worked solutions

*About the authors vii*

**1 Navigating the TI-Nspire 1**

**How to …**

**1.1** Change System Settings 2

**1.2** Use the Notes application 3

**1.3** Navigate between documents and pages 6

**1.4** Save and delete TNS files 8

**1.5** Perform basic calculations 9

**1.6** Use the Mathematical Expressions palette 11

**1.7** Perform common numerical tasks 13

**1.8** Transfer files between calculators 13

**1.9** Transfer files between calculators and computers 15

**2 Variables and expressions 16**

**How to …**

**2.1** Simplify algebraic expressions 16

**2.2** Substitute values for pronumerals 18

**2.3** Substitute values using function notation 20

**2.4** Expand algebraic expressions 21

**2.5** Factorise algebraic expressions using Highest Common Factor (HCF) 22

**2.6** Add and subtract algebraic fractions 23

**2.7** Multiply and divide algebraic fractions 24

**2.8** Factorise over the complex number field 24

**3 Linear functions 26**

**How to …**

**3.1** Plot linear graphs 26

**3.2** Rearrange linear equations to make *y* the subject 30

**3.3** Sketch linear graphs by pasting the rearranged equation into the graphing window 31

**3.4** Sketch linear graphs in the graphing window 32

**3.5** Alter the scale settings for graphs 34

**3.6** Edit the equation of a graph on the Cartesian plane 35

**3.7** Find the *x*-intercept of a graph 37

**3.8** Graph linear inequations 38

**4 Solving equations 39**

**How to …**

**4.1** Solve linear equations 39

**4.2** Rearrange formulas 41

**4.3** Solve linear inequations 41

**4.4** Solve simultaneous equations graphically 42

**4.5** Solve simultaneous equations algebraically 44

**4.6** Solve quadratic equations 44

**4.7** Solve linear simultaneous equations with three unknowns 45

**4.8** Solve a quadratic equation and a linear equation simultaneously 47

**4.9** Solve simultaneous inequations graphically 48

**5 Quadratic functions 49**

**How to …**

**5.1** Plot parabolas 49

**5.2** Apply transformations to quadratic functions 54

**5.3** Find features of the parabola graphically 61

**5.4** Solve quadratic equations to determine irrational *x*intercepts 64

**6 Exponential and logarithmic** **functions 68**

**How to …**

**6.1** Simplify expressions involving indices and surds 68

**6.2** Plot an exponential graph 70

**6.3** Sketch exponential functions 74

**6.4** Calculate logarithms 76

**6.5** Solve exponential and logarithmic equations 76

**6.6** Use the TI-Nspire CAS in applications of exponential and logarithmic functions 77

**7 Advanced functions 82**

**How to …**

**7.1** Graph the absolute value function 82

**7.2** Graph hybrid functions 86

**7.3** Find an inverse algebraically 88

**7.4** Find an inverse graphically 89

**7.5** Find exact values on a graph 91

**7.6** Lock variables 93

**8 Geometry 96**

**How to …**

**8.1** Calculate the interior angle sum of a triangle 96

**8.2** Illustrate a circle theorem (#1) 101

**8.3** Illustrate a circle theorem (#2) 104

**8.4** Optimise a rectangle inscribed in a circle 106

**9 Trigonometry 116**

**How to …**

**9.1** Set the mode to radians or degrees 116

**9.2** Work with exact values 120

**9.3** Solve trigonometric equations 120

**9.4** Convert between radians and degrees 122

**9.5** Graph trigonometric functions 124

**10 Financial mathematics 129**

**How to …**

**10.1** Calculate simple interest 129

**10.2** Calculate compound interest 130

**10.3** Calculate the interest rate 131

**10.4** Calculate the monthly repayment on a reducing balance loan 132

**10.5** Calculate the balance of the principal after any instalment 133

**10.6** Calculate the number of days between dates 134

**11 Sequences and series 135**

**How to …**

**11.1** Find the *n*th term of an arithmetic sequence 135

**11.2** Find the sum of an arithmetic sequence 136

**11.3** Find the *n*th term of a geometric sequence 137

**11.4** Generate a list of terms from a difference equation 137

**11.5** Generate a list of terms from a difference equation using an alternative method 138

**11.6** Find the sum of a geometric sequence 140

**12 Probability 141**

**How to …**

**12.1** Perform calculations using factorials, permutations and combinations 141

**12.2** Graph the binomial probability distribution and calculate binomial probabilities 143

**12.3** Calculate median, quantiles and the IQR 149

**12.4** Calculate normal distribution probabilities 151

**12.5** Calculate inverse normal distribution probabilities 153

**12.6** Generate random numbers 154

**13 Statistics 155**

**How to …**

**13.1** Calculate measures of centre and spread for univariate data 155

**13.2** Draw boxplots 157

**13.3** Draw histograms 160

**13.4** Draw scatterplots using bivariate data 163

**13.5** Construct lines of best fit and regression lines 164

**13.6** Make predictions and calculate *r* and *r* 2 167

**13.7** Display time-series plots and smoothed data 170

**14 Matrices and vectors 172**

**How to …**

**14.1** Add, subtract and multiply matrices 172

**14.2** Solve matrix equations 176

**14.3** Solve linear simultaneous equations using matrices 177

**14.4** Work with vectors 178

**15 Differential calculus 181**

**How to …**

**15.1** Use a spreadsheet to demonstrate the limit of a function 181

**15.2** Calculate the value of a limit 184

**15.3** Differentiate from first principles 186

**15.4** Draw a tangent to a curve and calculate its gradient 187

**15.5** Find the derivative by rule 190

**15.6** Sketch derivatives 193

**15.7** Calculate implicit differentiation 195

**16 Integral calculus 196**

**How to …**

**16.1** Find indefinite integrals 196

**16.2** Find definite integrals 197

**16.3** Graph a possible original function from a gradient function 199

**16.4** Calculate the area under the curve 201

**16.5** Find the general solution of a differential equation 203

**16.6** Find the particular solution of a differential equation 204

**16.7** Use Euler's method to tabulate the solution of a differential equation 205

**16.8** Plot slope fields for a differential equation 206

**16.9** Find the numerical solution of a differential equation 208

**17 Vernier Dataquest 209**

How to …

**17.1** Set up, run and view experimental data 209

**17.2** Store and analyse the collected data 212

**18 Further graphing techniques** **215**

How to …

**18.1** Plot families of functions 215

**18.2** Plot parametric graphs 215

**18.3** Plot polar graphs 217

**18.4** Plot sequence graphs 218

**18.5** Plot 3-dimensional surfaces 221

**18.6** Insert images 223

**18.7** Create a locus of points 224

**19 Programming with the TI-Nspire**

**CAS calculator 229**

How to …

**19.1** Write a user-defined function 229

**19.2** Create, write, edit and run a program 232

**20 Problem solving 241**

**20.1** Matrices and simultaneous equations 241

**20.2** Curve sketching 242

**20.3** Calculus and function notation 242

**20.4** Complex numbers 244

**20.5** Binomial theorem 244

**20.6** Probability 245

**20.7** Linear regression 245

**20.8** Differential equations 246