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Video Solutions – 2020 QCAA Mathematical Methods – Paper 2 – Technology Active – Section 1 – Multiple ChoiceNEW 

This video presents solutions to questions 1 to 10 in Section 1 of the QCAA 2020 Mathematical Methods external assessment – Paper 2 – Technology Active – Multiple Choice. Our best effort has been made to provide effective mathematical approaches …

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Video Solutions – 2020 QCAA Mathematical Methods – Paper 2 – Technology Active – Section 2 – Q11-15 – Short ResponseNEW 

This video presents solutions to questions 11 to 15 in Section 2 of the QCAA 2020 Mathematical Methods external assessment – Paper 2 – Technology Active – Short Response. Our best effort has been made to provide effective mathematical approaches …

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Video Solutions – 2020 QCAA Mathematical Methods – Paper 2 – Technology Active – Section 2 – Q16-20 – Short ResponseNEW 

This video presents solutions to questions 16 to 20 in Section 2 of the QCAA 2020 Mathematical Methods external assessment – Paper 2 – Technology Active – Short Response. Our best effort has been made to provide effective mathematical approaches …

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Simplex & The Science Of Burger MakingNEW 

The simplex algorithm, sometimes dubbed the world’s most powerful, sits at the heart of linear programming. Classically the subject of tertiary-level study, Dantzig’s simplex algorithm can be used to solve important problems like how to make a ‘better’ burger patty. …


DOGBALL 2.0 – A Study of Bounce – Part 1

Dogball is an enigma. The bouncy toy exterior hides a rich yet accessible modelling task within; a delicious intersection of maths and science, a potential PSMT/Folio task for Stage 1 Mathematical Methods featuring low floor, high ceiling and room for …


DOGBALL 2.0 – A Study of Bounce – Part 2 (Solution)

Below is a video outlining a solution answering the questions posed in the resource “Dogball 2.0 – A Study of Bounce – Part 1“. It is not intended to be the best or only way to answer these questions. It …


Describing change (ClassPad)

This replacement unit introduces algebraic models (linear and simple exponential) to describe change in the world around us. The fitting of models to bivariate data is approached via the underlying properties of constant additive or multiplicative change. The unit contains a wealth of data drawn from a range of aspects of the modern world. Extensive notes are provided on the use of ClassPad technology. A .vcp file contains all unit’s data in a Spreadsheet, and also as Statistics variables.

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CG514 Finding x and y values using a graph

This short video shows how to determine a function’s x and y values from its graph, using the Graph app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CG515 Changing a graph’s View Window

This short video shows how to change a graph’s View Window, using the Graph app of a CASIO fx-CG series graphics calculator, and discusses some of the advantages and disadvantages of different View Window settings. CG20 AU and CG50 AU versions are presented.

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CGA21 Finding the roots of polynomials

This short video shows how to find the roots of a polynomial function up to degree 6, using the Equation app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CGC11 Calculating loan repayments

This short video shows how to calculate loan repayments on a reducing balance, compound interest loan using the Financial app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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Developing and using regression models – Explore and Think – with the fx-CG20 AU

In this Explore and Think activity students utilise the ability of handheld technology to readily develop regression models for bivariate data. The data at hand is of atmospheric carbon dioxide and global temperature in the current era – a context within which modeling and extrapolation is both meaningful and relevant.
EAT activities include student worksheets accompanied by solutions/teacher notes that feature step-by-step support for the use of the CASIO fx-CG20 AU.

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DOGBALL

Below you can access: DOGBALL.pdf – a currently-brief but mostly complete summary of the activity you experienced. vdbcgraw.csv – the csv file of the data we used in the activity – which is a subset of the data that was …


Mental-jaunt #1 (Feb 14, 2013)

To students (of all ages):

**jaunt (noun)**
a short excursion or journey for pleasure

**mental-jaunt (noun)**
a short mental excursion or mental journey for pleasure, nothing too heavy!

Have a go at mental-jaunt #1 – a wee journey with numbers.

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Optimisation (ClassPad)

When studying quadratic functions/calculus, do too many of your students find ‘optimisation questions’ hard? Have you ever wondered why? The booklet you can download here is the unit of work that supports the ideas presented in a number of workshops during 2011 and 2012 that outlined why students find the ideas hard. Basically, traditional teaching-and-doing approaches fail to focus on what is really happening: the measurement on one dimension and the subsequent calculation of other dimensions. Also, algebraic simplification turns out to be the devil – the patterns in the symbols are lost and so generalisation is not ‘seen’! The approach in the booklet supports the idea of each student developing a calculation and then comparing and contrasting to it other’s calculations – it is in this that the symbolic patterns appear and the generalisation literally reveals itself.

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Working with gradient – Explore and Think – with the fx-CG20 AU

In this Explore and Think activity students apply the mathematics of gradient to the world’s steepest street! Different representations of gradient are included, average gradient is calculated and, via a quadratic function of best fit, calculator derivative calculations and some manual calculus, a maximum gradient is found.
EAT activities include student worksheets accompanied by solutions/teacher notes that feature step-by-step support for the use of the CASIO fx-CG20 AU.

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A quick list of sample means.

Download a program that will creates the number of samples you desire, of a size you define from a normal population with standard deviation and mean you define.

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Developing and using regression models – Explore and Think

In this Explore and Think activity students utilise the ability of handheld technology to readily develop regression models for biavraite data. The data at hand is of atmospheric carbon dioxide and global temperature in the current era – a context within which modeling and extrapolation is both meaningful and relevant.

EAT activities include student worksheets accompanied by solutions/teacher notes that feature step-by-step support for the use of the CASIO fx-82AU PLUS.

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Developing ways-of-thinking about the ideas that form calculus

This video and documents outline a 4 session course that aim to assist students to develop the optimal ways-of-thinking about the ideas that underpin calculus.

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Exponential and trigonometric functions

A selection of documents that share some nice ideas about exponential functions, trigonometric functions and a lovely context where both concepts come together.

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Flow – Ideas that underpin Differential Calculus

Presented here is a tried and proven three to five lesson sequence that begins with an engaging real-world context and grows students from the idea of average rate of change to instantaneous rate of change.

It is accessible to any student who has an understanding of average and gradient.

In this collection of resources you will find: a) a three-part introductory video (I, IIa and IIb), which structures the sequence of learning, b) two support video that shows “how to” do the technical stuff on the CG 20 AU.

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Working with gradient – Explore and Think

In this Explore and Think activity students apply the mathematics of gradient to the world’s steepest street! Different representations of gradient are included, average gradient is calculated and, via a quadratic function of best fit and some calculus, a maximum gradient is found.

EAT activities include student worksheets accompanied by solutions/teacher notes that feature step-by-step support for the use of the CASIO fx-82AU PLUS.

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Technology:

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CG112 Calculating recursively using Ans

This short video shows how to perform recursive calculations, in this case involving compound interest, using the Ans command in the Run.Mat app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.


CG211 Entering and editing data in lists

This short video shows how to enter lists of data, and how to duplicate and edit these lists, using the Statistics app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

* This video stands alone but also can be viewed as Part 1 of a 5-part series of videos on working with univariate data.
* These videos cover entering and editing data, obtaining a 1-variable analysis, drawing histograms and box plot(s).
* The 5 videos are numbered CG211, CG212, … , CG215


CG212 Obtaining a 1-variable analysis of list data

This short video shows how to obtain a one variable analysis for list data, including values such as mean, median, standard deviation etc, using the Statistics app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

* This video stands alone but also can be viewed as Part 2 of a 5-part series of videos on working with univariate data.
* These videos cover entering and editing data, obtaining a 1-variable analysis, drawing histograms and box plot(s).
* The 5 videos are numbered CG211, CG212, … , CG215


CG213 Drawing a histogram of lists data

This short video shows how to draw a histogram of list data using the Statistics app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

* This video stands alone but also can be viewed as Part 3 of a 5-part series of videos on working with univariate data.
* These videos cover entering and editing data, obtaining a 1-variable analysis, drawing histograms and box plot(s).
* The 5 videos are numbered CG211, CG212, … , CG215


CG214 Drawing a boxplot of list data

This short video shows how to draw a boxplot for list data using the Statistics app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

* This video stands alone but also can be viewed as Part 4 of a 5-part series of videos on working with univariate data.
* These videos cover entering and editing data, obtaining a 1-variable analysis, drawing histograms and box plot(s).
* The 5 videos are numbered CG211, CG212, … , CG215


CG215 Drawing multiple boxplots of list data

This short video shows how to enter lists of data, and how to duplicate and edit these lists, using the Statistics app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

* This video stands alone but also can be viewed as Part 5 of a 5-part series of videos on working with univariate data.
* These videos cover entering and editing data, obtaining a 1-variable analysis, drawing histograms and box plot(s).
* The 5 videos are numbered CG211, CG212, … , CG215


CG221 Drawing a scatterplot for bivariate data

This short video shows how to draw a scatterplot for bivariate data using the Statistics app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.


CG223 Fitting a regression model to bivariate data

This short video shows how to generate a regression model of “best fit” for bivariate data via a scatterplot drawn using the Statistics app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CGA11 Solving a system of simultaneous equations

This short video shows how to solve a system of linear simultaneous equations using the Equation app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CGA31 Solving an equation

This short video shows how to solve ‘any’ equation using the numerical solver in the Equation app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented. Changing the ‘seed’ to obtain an alternative solution, and the graphical representation of multiple solutions, is included.

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CGA32 Solving for unknowns in formulae

This short video shows how to find the value of an unknown, via the substitution of known values into a formula and the use of the numerical Solver in the Equation app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CGI11 Fitting a function to a picture

This short video shows you how to fit a quadratic function to a picture of the Sydney Harbour Bridge using the Picture Plot app of a CASIO fx-CG20AU.

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CG121 Calculating with nCr

This short video shows how to perform calculations involving the Combinations function nCr using the Run.Mat app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CG122 Generating (pseudo) random numbers

This short video shows how to generate (pseudo) random numbers, both integer and otherwise, using the Run-Matrix app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.


CG123 Generating and graphing lists of random numbers

This short video shows how to populate a list with (pseudo) random numbers, simulating the rolling of a six-sided die many times, as well as how to graph this output, using the Statistics app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.


CG124 Investigating the sums of random numbers

This short video shows how to generate and sum two lists of (pseudo) random numbers, simulating the rolling of two six-sided dice many times, as well as how to graph this output, using the Statistics app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.


CG142 Single calculations with matrices

This short video shows how to define an augmented matrix and then reduce it to reduced row echelon form using the Run-Matrix app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CG143 Reducing an augmented matrix to reduced row echelon form

This short video shows how to perform single calculations, like finding matrix inverses and determinants, using the Run-Matrix app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CG151 Displaying numbers in different ways

This short video shows you how to change the setting of a CASIO fx-CG series graphics calculator so that numerical values are displayed in different ways.CG20 AU and CG50 AU versions are presented.


CG231 Calculating Binomial Probabilities

This short video shows how to calculate probabilities associated with a binomial distribution using the Statistics app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CG232 Calculating a probability from a normal distribution

This short video shows how to calculate probabilities associated with a normal distribution using the Statistics app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CG233 Calculating a value from a proportion of a normal distribution

This short video shows how to calculate a “cut off” value for a given proportion of a normal distribution, sometimes called an “inverse normal” calculation, using the Statistics app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CG234 Calculating a confidence interval for p

This short video shows how to calculate a confidence interval for p using the Statistics app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CG411 Building a spreadsheet

This short video shows you how to build a spreadsheet to hunt for Pythagorean Triads on a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.


CG511 Drawing a graph

This short video shows how to draw the graph of function using the Graph app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.


CG512 Obtaining graphical information

This short video shows how to obtain graphical information like x intercepts and turning points from the graph of a function drawn using the Graph app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.


CG513 Sketching a tangent to a curve

This short video shows how to sketch the tangent to a curve using the Graph app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CG811 Use a recursive formula to create a table

This short video shows how to use a recursive relationship to generate a table of values using the Recursion app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.


CGF12 Resetting calculator memory

This short video shows you some ways to reset the memory of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.


Describing change (9860)

This replacement unit introduces algebraic models (linear and simple exponential) to describe change in the world around us. The fitting of models to bivariate data is approached via the underlying properties of constant additive or multiplicative change. The unit contains a wealth of data drawn from a range of aspects of the modern world. Extensive notes are provided on the use of 9860 technology. All of unit’s data is provided it g1m files, ready for file transfer.

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CG131 Calculating the value of a derivative

This short video shows how to determine a derivative value, i.e. the value of a derivative function for a given x value, using the Run.Mat app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CG141 Defining and calculating with matrices

This short video shows how to define and calculate with matrices using the Run-Matrix app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CG516 Finding areas between graphs

This short video shows you how to find the area of a region between two graphs using the Graph app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CGF11 Transferring Memory Content

This short video shows you how to transfer memory content between the Main and Storage Memory of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.


Optimisation (9860)

When studying quadratic functions/calculus, do too many of your students find ‘optimisation questions’ hard? Have you ever wondered why? The booklet you can download here is the unit of work that supports the ideas presented in a number of workshops during 2011 and 2012 that outlined why students find the ideas hard. Basically, traditional teaching-and-doing approaches fail to focus on what is really happening: the measurement on one dimension and the subsequent calculation of other dimensions. Also, algebraic simplification turns out to be the devil – the patterns in the symbols are lost and so generalisation is not ‘seen’! The approach in the booklet supports the idea of each student developing a calculation and then comparing and contrasting to it other’s calculations – it is in this that the symbolic patterns appear and the generalisation literally reveals itself.

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Technology:

Year Level: , ,
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ClassPad II companion for General Maths 3

A ‘how to’ companion book for the Tasmanian General Maths 3 course written by Gary Anderson.

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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

Create your own user functions.
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.


CP991 Computer To ClassPad Data Transfer

How to download programs, eActivities, csv files, pictures and so on into your handheld ClassPad from a Mac or Windows computer.


Programs referred to in the “How Do I CODE …” book for the fx-CP400

Download the programs that accompany the book How Do I CODE on a CASIO fx-CP400.

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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.


CP985 Create A Small Program

How to create a small program on your hand held Classpad.


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.


CP744 Cyclic Quadrilaterals

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.


CP746 Tangents and Radii

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.


CP784 Cyclic Quadrilaterals 2

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.


CP631 Add Strip Help

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


CP632 Cascade Style 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.


CP680 Geometry Link

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.


CP500 Spreadsheet Basics

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.


CP340 Jump To An Exact Coordinate

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.


CP204 Solving Quadratic Equations

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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