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### CP172 Inverse Of A Function

Find the inverse of a function algebraically using invert and also view the inverse graphically.

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### CP205 Solving Simultaneous Linear Equations 1

Solve simultaneously the equations 2x – 3y = -1 and x + y = 7 using a traditional step by step elimination method in Main.

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### CP240 Restrict Range Of Solutions With Trig Equations

Two methods to restrict the range of solutions returned when solving trig equations in Main.

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### CP250 Solve System Of Equations With 3 Unknowns

Use one of the 2D templates to solve systems of equations with 2 or more variables.

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### CP350 Using Sliders To Explore Functions

How to use sliders in graph and table to explore function transformations.

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### CP011 Simplifying and Expanding

Collect like terms and expand and simplify expressions such as 3(4-2x)^2.

### CP012 Factorising

Factorisation of numbers and expressions (eg quadratics)

### CP041 Sequence: What Is My Rule?

Use the sequence function in Main to find the defining rule for various sequences

### CP042 Eliminate Function

Eliminate one variable from an equation using another equation.
Example: If x=8-2t and y=6t-1 find an expression for y in terms of x.

### CP043 Creating User Defined Variables

Examples (i) f(x)=1/x or (ii) Ckh2ms to convert speeds from km/h to m/s

### CP044 Edit and Delete User Defined Functions

Managing your own user defined functions such as those created in the previous topic.

### CP071 Define Function with Many Variables

Create and use a function with many variables. Also edit a user defined function in the program editor.

### CP307 Simultaneous Equations In Main

Solve simultaneously the equations 3y – 2x = 5 and x + 2y – 8 = 0 graphically using both Main and Graph windows.

### CP703 Geometry – Line Segment Midpoint

Draw a line segment between two points A and B and construct its midpoint.

### CP990 Update ClassPad Operating System

How to update the operating system of your hand-held ClassPad using a Windows PC.

### CP840 Compound Interest

Examine the growth of money over 10 years using compound interest and also use the difference tool to find individual amounts of interest for any year.

### CP841 Reducible Interest

Use sequence to examine the balance of a reducible interest loan, determine total interest paid and find individual monthly interest figures.

### CP880 Explicit From Recursive

Determine the explicit formula for a sequence from a recursive definition using Sequence RUN and the rSolve() function.

### CP911 Using NumSolve

An introduction to using NumSolve from the Main menu in the context of the simple interest formula I=PRT/100.

### CP912 NumSolve Tips

Learn some tips on working efficiently in NumSolve.

### CP913 Built-In Probability Simulation Tool

Use the built-in probability simulation tool in Main (or eActivity) to simulate throwing one or two dice or selecting items at random from a container.

### CP921 Financial Simple Interest

Calculate simple interest and future values in the Financial application.

### CP922 Financial Compound Interest

Solve compound interest problems in Financial, including finding future values, interest rates and time required.

### CP923 Financial Loan Repayment

Solve loan repayment problems in Financial, including payments, time periods and loan amounts.

### CP940 Verify Tool In Main

Use the Verify tool in Main to check steps when manually simplifying expressions.

### CP945 Smoothing Time Series Using mavII

Smooth time series data in the statistics app with the program mavII. Also fit a regression line and predict future values. mavII is freely available from www.charliewatson.com/classpad/.

### CP946 Reducible Interest Using repayII

Using the program repayII to solve reducible interest problems. repayII is freely available from www.charliewatson.com/classpad/.

### CP951 Using Conics

A brief look at the Conics app and how it can be used to determine the centre and radius of a circle.

### CP952 Using InterActive DiffCalc

A brief tour of the InterActive DiffCalc app and how it can be used to explore concepts of differential calculus.

### CP953 Using PicturePlot

A brief overview of picture plot, including the use of sliders to modify function parameters.

### CP980 Modify Shift Keys

Modify the functions assigned to the shift key and save time when using your favourite commands on your Classpad.

### CP981 Ending Screens

How to set a picture as the ending screen – the picture that briefly flashes onto the screen when you turn your ClassPad off.

### CP982 Create A Picture

A brief overview of using the Casio Picture Conversion Engine software to creating a picture for use on ClassPad II for modeling functions in Picture Plot or as an ending screen.

### CP984 Example Small Programs

Five examples of small utility programs freely available from the internet are shown.

### CP741 Angle in a Semi-Circle

Construct a diameter in a circle and then examine the angle in the semi-circle.

### CP742 Angles in the Alternate Segment

Construct a tangent to a circle and then examine angles in the alternate segment.

### CP743 Angles in the Same Segment

Construct 2 angles on the circumference from a common chord and examine.

Construct a cyclic quadrilateral and examine sum of opposite pairs of angles.

### CP745 Lengths of Tangents

Construct 2 tangents to a circle from an external point and examine their lengths.

Examine the angle between a tangent to a circle and a radius.

### CP747 The Central Angle

Construct angles on the circumference and at the centre from a common chord and examine.

### CP750 Using Sliders In Geometry

How to use sliders in geometry to change lengths and angles.

### CP756 Coordinate Geometry: Perpendicular Line

Find the equation of the line through (2, -1) perpendicular to the line 5x – 2y +6 = 0.

### CP757 Modifying Labels of Objects

How to change the labels of any Geometry object using the annotation tool – eg change triangle ABC to triangle PQR.

### CP770 Apply Matrix Transformation

Create a triangle in Geometry, apply a matrix transformation to the vertices in Main and view the image back in Geometry.

### CP771 Find Transformation Matrix

Use an object and its transformed image in Geometry to determine the equivalent transformation matrix in Main.

### CP780 Animation Basics

Fast track your animation skills by animating a tangent line around a circle.

### CP781 Angle in a Semi-Circle 2

Examine the angle in the semi-circle using a slider.

### CP782 Angle in a Semi-Circle 3

Examine the angle in the semi-circle using the Animation tool.

Examine sum of opposite pairs of angles using the Expression tool.

### CP800 Sequence Basics

Basic settings in the Sequence application.

### CP801 Sequence Explicitly Defined

Create the sequence of Triangle Numbers using an explicit definition, and graph the first 12 terms.

### CP802 Simple Recursive Sequences

Create an arithmetic sequence, then a geometric sequence, also finding the sums of the GP.

### CP803 Fibonacci Type Sequences

Create the Fibonacci Sequence, graph the first 10 terms and find the ratio of conscutive terms.

### CP550 Dice Simulation

Simulate throwing 120 six-sided dice in a spreadsheet and display the resulting distribution as a histogram.

### CP580 Import A CSV File

How to import external data in comma separated variable (csv) file format into the Spreadsheet app and then into the Statistics app.

### CP601 Storing Formulae In eActivities

Store and solve all your commonly used formulae as strips in eActivities.

### CP630 File Management

Lock, Unlock, Delete, Move Folder and Rename eActivities. Also create a new folder.

Strip Help is a great way to add hints on what to do within any strip in an eActivity.

Many multiple-step math problems can be programmed into an eActivity. This example uses Herons method to find the area of a triangle given three side lengths.

### CP633 eActivity Tips

Some tips on working within eActivities including working with text or calculation rows, deleting strips and adding strip help.

### CP641 Ambiguous Case Of Sine Rule

Examples of ways to deal with the ambiguous case of the sine rule when solving obtuse triangles.

### CP672 Average Rate Of Change Of Function

Create and save an eActivity to calculate the average rate of change of any function over a given interval.

### CP675 Normal Probabilities Using Solve

Create and save an eActivity to calculate ANY of the parameters (eg mean, sd, etc) involved in a normal probability question.

A Geometry Link in an eActivity is used to investigate translations applied to a parabola. Other possibilities are also hinted at.

### CP700 Geometry – Basic Settings

Setting up the geometry window, including scales, displaying axes, integer grid and saving.

### CP701 Geometry – Line Segment

Draw a line segment, measure its properties of length, gradient, equation.

### CP702 Geometry – Line Segment A To B

Draw a line segment between two points A and B and determine its length.

### CP712 Geometry – Triangle

Draw a simple triangle and learn how to measure angles, sides, area and perimeter.

### CP713 Geometry – Right Triangle

Construct a right triangle and measure angles, sides, area and perimeter.

### CP714 Geometry – Solve Triangle 1

Construct and solve triangle ABC given two sides and the included angle.

### CP715 Geometry – Solve Triangle 2

Construct and solve triangle ABC given two sides and a non-included angle.

### CP716 Geometry – Solve Triangle 3

Construct and solve triangle ABC given all three sides.

### CP740 Diameter of a Circle

Draw a circle and construct a diameter.

### CP407 Create a Histogram from a Frequency Table

Create a histogram from a frequency table.

### CP410 Statistical Calcs: Two Variables

Calculate two variable statistics from paired data.

### CP411 Scatterplot and Regression

Create a scatterplot and then calculate and plot the least squares linear regression line through the data.

### CP412 xyLine Time Series

Create an xyLine of time series data.

### CP440 Histogram Class Intervals

Vary the class intervals when summarising data with a histogram. Also shows use of the randList() command to create a list of random numbers.

### CP441 Prediction From Regression Line

Substitute a value into a recently calculated regression line to determine a predicted value.

### CP442 Residuals And Residual Plots

After finding a linear regression model for a bivariate data set, residuals are calculated and plotted to check suitability of linear model.

### CP471 Inverse Normal Probability Calculations

Calculate inverse normal probabilities in Statistics using the Calc menu and Inverse Normal CD tool.

### CP473 Confidence Interval (Mean) From Summary Data

Calculate a confidence interval for a mean from supplied summary data in the statistics application.

### CP476 Confidence Interval (Prop) From Summary Data

Calculate a confidence interval for a proportion from supplied summary data in the statistics application.

A quick introduction to the common data types – text, number and formula – and some useful spreadsheet tools.

### CP501 Arithmetic Sequence

Create a simple sequence and then extend the spreadsheet using Cut and Paste technique.

### CP502 Fibonacci Sequence

Create the Fibonacci sequence, adjust columns widths, use the Fill Range command to extend the sequence and display very long integers.

### CP503 Geometric Sequence

Create a geometric sequence including the sum of terms and extend using Tap and Drag technique.

### CP520 Pie Chart

Create a pie chart, determine the percentages represented by each sector and dynamically modify.

### CP541 Simple Interest

Create a flexible Simple Interest spreadsheet using Absolute and Relative cell references and extend by copying and pasting multiple columns.

### CP542 Compound Interest

Create a flexible Compound Interest spreadsheet using Absolute and Relative cell references and format cells to 2dp.

### CP543 Reducible Interest

Use a spreadsheet to examine the balance of a reducible interest loan.

### CP544 Annuities

Use a spreadsheet to examine the balance of an annuity.

### CP545 Smoothing Time Series

Smooth time series data in a spreadsheet using moving averages, fit a regression line and calculate residuals.

### CP304 Graph an Exponential Function

Graph y = 4^x using the Graph & Table application, including use of Zoom facility.

### CP305 Graph Simultaneous Equations 1 (Linear)

Solve y = 3x – 4 and y = 6 – 2x graphically by first drawing the functions and then finding the points of intersection.

### CP306 Graph Simultaneous Equations 2 (Quadratic)

Solve y = 2 – 5x and y = -3x^2 + 4x + 2 graphically by first drawing the functions and then finding the points of intersection.

Jump to any exact coordinate whilst tracing along one of several functions in graph.

### CP341 Show Gradient When Tracing

Show the gradient of a function on screen when tracing along its graph.

### CP342 Modify Tool

Use the Modify tool when graphing to vary the parameters of a graph. In this example we vary a and b when y = ( x + a )^2 + b.

### CP343 Equation Of Tangent To Curve

Find the equation of the tangent to a curve in Graph and Table using the Analysis, Sketch, Tangent function.

### CP344 Definite Integration

Evaluate and illustrate definite integrals in Graph and Table using Analysis, G-Solve tools.

### CP345 Linear Programming

Solve a linear programming problem with 4 constraints in Graph and Table.

### CP347 Graph Of Derivative

Draw the graph of a function in y1 and automatically draw the graph of its first (and second if required) derivatives.

### CP348 Area Trapped Between Roots of Graph

Evaluate and illustrate area trapped between x-axis and function in Graph and Table using Analysis, G-Solve tools.

### CP349 Area Trapped Between Graphs

Evaluate and illustrate trapped areas in Graph and Table using Analysis, G-Solve tools.

### CP370 Polar Graphing

Graph a polar function using r=Type, adjust basic view window settings and become aware of some limitations.

### CP371 Parametric Graphing

Graph parametric functions using ParamType, adjust basic view window settings and become aware of some limitations.

### CP401 Statistical Calcs: From a List

Calculate one variable statistics from a single list of scores.

### CP402 Statistical Calcs: Frequency Table

Calculate one variable statistics from a frequency table.

### CP403 Create a Boxplot from a List

Create a boxplot from a single list of scores.

### CP404 Create a Boxplot from a Frequency Table

Create a boxplot from a frequency table.

### CP405 Create Multiple Boxplots

Create several boxplots in a single graph to compare their distributions.

### CP406 Create a Histogram from a List

Create a histogram from a single list of scores.

### CP047 Angle Tips

Learn how to over-ride the selected angle setting when working with trig functions in Main.

### CP050 Random Numbers

Generate random numbers and simulate throwing dice using the rand() and randlist() functions in Main.

### CP051 Assign and Delete Values to Variables

Temporarily and permanently assign and delete values to variables in Main. Useful for substitution.

### CP140 Differentiation Basics

Differentiation basics in Main using either Interactive, diff or the 2D template. Also higher orders and any variable.

### CP141 Equation Of Tangent To Curve

Find the equation of the tangent to a curve in Main using the tanLine function.

### CP142 Integration Basics

Find indefinite and definite integrals in Main using either Interactive, S or the 2D template.

### CP170 Volume Of Revolution

Find a volume of revolution in Main and graphically.

### CP171 Implicit Differentiation

Find the gradient at a point of an implicitly defined function in Main.

### CP200 Three Actions Before Solving

Important actions that should be taken in Main before trying any of the activities in this section.

### CP201 Solving Equations Step By Step

Solve the equation 7x – 3 = 2x + 4 using a traditional step by step approach in Main.

### CP202 Solving Equations With Solve

Solve the equation 7x – 3 = 2x + 4 using the solve command in Main.

Solving the quadratic equation x^2 + 6x + 5 = 0 with the solve command in Main.

### CP206 Solving Simultaneous Linear Equations 2

Solve simultaneously the equations 2x – 3y = -1 and x + y = 7 using the 2D simultaneous template in Main.

### CP207 Solving Simultaneous Linear Equations 3

Solve simultaneously the equations 2x – 3y = -1 and x + y = 7 using the Solve command in Main.

### CP208 Rearranging Equations

How to express a as the subject of the equation t = 2a + 3b in Main.

### CP270 Use Of dSolve In Growth And Decay Problems

Use the differential equation solver with a simple growth and decay question.

### CP300 Graph and Table Settings

Important settings that should be taken in Graph & Table before trying any of the activities in this section.

### CP301 Graph a Linear Function 1 (Graph)

Graph y = 2x + 3 using the Graph & Table application, including setting the View Window.

### CP302 Graph a Linear Function 2 (Main)

Graph 3x + 2y =12 using the Main application, including use of Resize.

### CP303 Graph a Quadratic Function

Graph y = x^2 + 3x – 4 using the Graph & Table application, including setting the View Window.

### CP001 Welcome and Preview

A brief welcome to ClassPad II Help Series and a preview of some of the new features and apps that come with OS2

### CP002 Setting Up Main

Settings in Main we recommend you should make to ensure your initial experience of Classpad and these help sheets is hassle free.

### CP005 Exploring the Keyboard

A guided tour of the most commonly used areas of the Classpad keyboard.

### CP006 Basic Editing in Main

Some basic editing methods in Main, including drag, cut, copy and paste.

### CP010 – Numeric Calculations

Some basic calculation techniques including evaluation of expressions and substitution.

### CP013 Simplifying Algebraic Fractions

Simplification and addition of algebraic fractions

### CP014 HCF and LCM

Determine the Highest Common Factor or Lowest Common Multiple of two numbers.

### CP040 Rounding

Rounding to a given number of decimal places or significant figures.

### CP070 Define CIS

Create your own cis function for making complex number entry simpler.

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### CP073 Complex Number Basics

Basic complex number entry and calculations, including finding magnitude, argument and conversion between forms.

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### CP074 Polar to Rectangular Coordinate Conversions

Use the toPol and toRect functions to convert between polar and rectangular coordinates with vectors or complex numbers.

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### CP080 Normal Probability Calculations

Calculate normal probabilities in Main using the Interactive menu and normCDF function.

### CP082 Random Sample From Normal Distribution

Draw a random sample from X~N(60,144) in Main and calculate mean and SD. Also analyse in Statistics.

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### CP083 Binomial Distribution Calculations

Calculate binomial probabilities in Main using the Interactive menu and BinomialPDF function.

### CP085 Random Sample From Binomial Distribution

Draw a random sample from X~Bin(24,1/6) in Main and calculate mean and SD. Also analyse in Statistics.

### CP346 Piecewise Defined Functions

Enter and graph piecewise defined functions in Graph and Table.

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### CP470 Normal Probability Calculations

Calculate normal probabilities in Statistics using the Calc menu and Normal CD tool.

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### CP472 Confidence Interval (Mean) From List Data

Calculate a confidence interval for a mean when sample data has been entered in the statistics application.

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### CP474 Binomial Distribution Calculations

Calculate binomial probabilities in Statistics using the Calc menu and Binomial PD tool.

### CP760 Transformation Of Objects

Create and reflect a triangle in the line y=-x in Geometry. Also, tips on using other transformations.

### CP007 Simple Calculations in Main

Use of the Math and 2D tabs in entering simple calculations when in Main.

### CP045 Composite Functions

Define f(x) and g(x), then find f(g(1)), graph g(f(x)) and find all h(x) where g(f(x))=g(h(x)).

### CP046 Piecewise Defined Functions

Define, use and graph piecewise functions in Main. OS3.04 and later.

### CP055 Matrix Operations

Basic matrix creation, editing and calculations in Main, including determinants and inverses.

### CP081 Inverse Normal Probability Calculations

Calculate inverse normal probabilities in Main using the Interactive menu and invNormCDF function.

### CP180 Vector Basics

Convert vectors between Cartesian and polar forms, find unit vectors, angle between vectors and dot products.

### CP203 Solving Linear Inequalities

Solving the inequality 3 – 4x > 9 using both a step by step approach and also the solve command in Main.

### CP400 Statistics: Basic Settings and Actions

Basic settings, inserting and deleting rows in the Statistics application.

### CP983 Use Library For Global Access

The library folder sits in the Other Data memory of Classpad but functions or programs stored in them are also available in eActivities.

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