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 …
Category: General Resources, Videos for Learning
Technology: CLASSPAD 300/330, CLASSPAD FXCP400, FX9860GAU, FXCG20/50AU
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 …
Category: General Resources, Videos for Learning
Technology: CLASSPAD 300/330, CLASSPAD FXCP400, FX9860GAU, FXCG20/50AU
As Big As Can Be
The introductory videos introduce students to a complete unit of work, a study of quadratic functions. The unit starts with a geometric optimisation problem (paper folding) that prompts students to ask the question “is that as big as can be?” …
Category: Replacement Units, Videos for Learning
Technology: CLASSPAD 300/330, CLASSPAD FXCP400, FX100AU, FX82AU, FX9860GAU, FXCG20/50AU
A prime experience (ClassPad)
Many students know what a prime number is, but outside of that and perhaps prime factorisation what else do they do (in school) with these amazing creatures? This unit charts a path for students through the prime’s landscape along which they discover sexy primes (among others), prove and generally get to behave very much like a mini-mathematician. Workshops on this unit have been offered in a number of states previously. We do not think you will have seen a tried and proven learning sequence like this before.
Category: Replacement Units
Technology: CLASSPAD 300/330
CP172 Inverse Of A Function
Find the inverse of a function algebraically using invert and also view the inverse graphically.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP240 Restrict Range Of Solutions With Trig Equations
Two methods to restrict the range of solutions returned when solving trig equations in Main.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP250 Solve System Of Equations With 3 Unknowns
Use one of the 2D templates to solve systems of equations with 2 or more variables.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP350 Using Sliders To Explore Functions
How to use sliders in graph and table to explore function transformations.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
The wind in your sails (ClassPad)
This is a replacement unit to facilitate the teaching and learning of right-angle triangle trigonometry. The students begin by ‘learning’ how to sail a boat and then engage with various aspects of sailing and as a result learn about the fundamental trigonometric ratios. The unit comes with pre-made ClassPad Geometry files that enable the students to sail virtual boats, collect data on their sailing and through this learn about trigonometric ratios. The unit includes traditional learning and problems as well as some not so traditional learning.
Category: Replacement Units
Technology: CLASSPAD 300/330
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 …
Category: General Resources
Technology: CLASSPAD 300/330, CLASSPAD FXCP400, FX9860GAU, FXCG20/50AU
Generosity – an approach to fractions and percentages.
This unit uses the context of generosity to introduce a need to have a fractional way of thinking about something.
It develops a way of thinking about fractions – the for-every idea – that is the elusive multiplicative model.
Developed over about 5 years, this approach has been tried and seems to work. 🙂
Category: General Resources
Technology: CLASSPAD 300/330, CLASSPAD FXCP400, FX100AU, FX82AU, FX9860GAU, FXCG20/50AU
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.
Mental-jaunt #2 (February 4, 2014)
jaunt (noun) a short excursion or journey for pleasure mental-jaunt (noun) a short mental excursion or mental journey for pleasure, nothing too heavy! Mental-jaunts are trails that will evoke certain ways of thinking that are very helpful both in understanding more complex …
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.
Category: Replacement Units
Technology: CLASSPAD 300/330
Seeing double (ClassPad)
This is a replacement unit introducing algebraic identities including the distributive law, perfect squares and the difference of two squares, general binomial expansion and factorisation and completing the square. The unit exploits the world of animation to reinforce student’s notion of variable. The unit comes with pre-made ClassPad files that sequentially build up animated paddocks that confront student’s notions of equivalence. They are then challenge to express this equivalence symbolically and from this the algebraic identities flow. The unit also includes ‘drill’ sections to assist students in the automation of these most important algebraic skills.
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.
ACMMG244 (Year 10) – Apply logical reasoning ….
A selection of test questions and solutions for ACMMG244 (Year 10).
ACMNA240 (Year 10) – Solve linear equations …. alg. fractions ….
A selection of test questions and solutions for ACMNA240 (Year 10).
ACMNA241 (Year 10) – Solve simple quadratic equations ….
A selection of test questions and solutions for ACMNA241 (Year 10).
ACMSP250 (Year 10) – Compare shapes of box plots ….
A selection of test questions and solutions for ACMSP250 (Year 10).
Continued fractions – Explore and Think
In this Explore and Think activity students go on a journey through their investigation of continued fractions. This journey has the potential to feature such highlights as recursion and convergence, the fibonacci sequence and phi, quadratic equations and similarity. It could be a short stroll or an epic adventure, depending on its treatment.
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.
Cup Snakes – Describing Linear Change
A video introduction presents the mathematics of cup snakes, a hands on phenomena involving additive change that gives rise to a way to think about linear growth. Modeling this phenomena theoretically, with the help of two cups, and through data, with the help of many, many cups, these videos give rise to some of the big ideas around developing and using linear algebraic models to describe additive bi-variate change. These ideas are then unpacked in the accompanying ‘chapter replacement’ booklet.
Category: Videos for Learning
Technology: CLASSPAD 300/330, CLASSPAD FXCP400, FX100AU, FX82AU, FX9860GAU, FXCG20/50AU
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.
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.
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.
Category: General Resources
Technology: CLASSPAD 300/330, CLASSPAD FXCP400, FXCG20/50AU
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.
Logarithms – when adding is multiplying (9860)
This unit aims to provide a simple/useful way to thing about logarithms when first meting them.
We use two examples of “hard” to graph data (due to the extreme range in the values) to alert students to the idea of thinking about a number as its power, as opposed to its absolute value.
The rest of the unit aims to establish a way to think about calculating with logarithms that will set a sound foundation for later on and that builds on their knowledge of ‘indices’ from previous years.
Pigs, Pens and Mathematics
Pigs, pens and mathematics is a two to four lesson, tried and proven, activity that moves students from measurement-thinking to functional-thinking with the help a simple but rarely used idea – do not evaluate a calculation.
A small, but authentic and enlightening use of electronic technology is made.
It would fit perfectly in a measurement topic at any of the years 8 to 11.
In this collection of resources you will find:
a) a two-part introductory video, that can be played to the class to kick things off,
b) one support video that shows “how to” do the technical stuff on the CG 20 AU,
c) one support video that explores the mathematical ideas that can be developed with the help of the technology,
d) one ‘task sheet’ for students to work on after watching the videos or being instructed by the teacher,
e) a complete ‘unit of work’ that allows students to consolidate the mathematical ideas and skills they have learned.
Simulating a random process – Explore and Think
In this Explore and Think activity students utilise the ability of handheld technology to easily model random processes. In this case the generation of random integers lets students explore the likely outcomes of two conflicting strategies in a game of chance. The evaluation of the desirability of these stategies can be based on experimental probability values, or can lead into an analysis of the probability of compound events.
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.
Stacked Exponents – Explore and Think
This Explore and Think activities looks at truely BIG numbers, and explores the idea of a “stacked exponent”, how big such numbers are and how they are calculated.
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.
Working with ellipses – Explore and Think
This Explore and Think activity focusses on an ellipse-based diagram that claims to represent the percentage of green space in some of the world’s cities.
A study of this diagram suggests that something is not right – and then leads to an analysis involving length and area, measurement and ratio.
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.
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.
Working with measurement in 3D – Explore and Think
This Explore and Think activity presents a different take on the measurement of volume and the study of solids. Inspired by some of Australia’s most iconic scultures, cones and cylinders take on a whole new dimension.
These simple shapes lead to some complex and interesting analysis involving trigonometry and, ultmately, to the errors and issues that arise in the interaction between two and three dimensions.
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.
Working with nested radicals – Explore and Think
In this Explore and Think activity students work with surds in different and fruitful ways. The idea of nested radicals leads students from the evaluation of some funny-looking surd expressions through to the making of conjectures. These conjectures can be proved via the solution of a quadratic equation.
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.
ACMMG242 (Year 10) – Solve problems involving surface area ….
A selection of test questions and solutions for ACMMG242 (Year 10).
ACMMG243 (Year 10) – Formulate proofs involving congruent ….
A selection of test questions and solutions for ACMMG243 (Year 10).
ACMMG245 (Year 10) – Pythagoras and trigonometry
A selection of test questions and solutions for ACMMG245 (Year 10).
ACMNA229 (Year 10) – Money and financial mathematics
A selection of test questions and solutions for ACMNA229 (Year 10).
ACMNA231 (Year 10) – Simplify algebraic products ….
A selection of test questions and solutions for ACMNA231 (Year 10).
ACMNA232 (Year 10) – …. simple algebraic fractions with numerical denominators ….
A selection of test questions and solutions for ACMNA232 (Year 10).
ACMNA233 (Year 10) – Expand binomial products ….
A selection of test questions and solutions for ACMNA233 (Year 10).
ACMNA234 (Year 10) – Substitute values into ….
A selection of test questions and solutions for ACMNA234 (Year 10).
ACMNA235 (Year 10) – Solve problems involving linear ….
A selection of test questions and solutions for ACMNA235 (Year 10).
ACMNA236 (Year 10) – Solve linear inequalities ….
A selection of test questions and solutions for ACMNA236 (Year 10).
ACMNA237 (Year 10) – Solve linear simultaneous ….
A selection of test questions and solutions for ACMNA237 (Year 10).
ACMNA238 (Year 10) – Solve problems involving parallel ….
A selection of test questions and solutions for ACMNA238 (Year 10).
ACMNA239 (Year 10) – Explore the connection between ….
A selection of test questions and solutions for ACMNA239 (Year 10).
ACMSP246 (Year 10) – Describe the results of two- and three-step ….
A selection of test questions and solutions for ACMSP246 (Year 10).
ACMSP247 (Year 10) – Use the language of ‚Äòif ….then, ‚Äògiven‚Äô ….
A selection of test questions and solutions for ACMSP247 (Year 10).
ACMSP248 (Year 10) – Determine quartiles ….
A selection of test questions and solutions for ACMSP248 (Year 10).
ACMSP249 (Year 10) – Construct and interpret box plots ….
A selection of test questions and solutions for ACMSP249 (Year 10).
ACMSP251 (Year 10) – Use scatter plots to investigate ….
A selection of test questions and solutions for ACMSP251 (Year 10).
ACMSP252 (Year 10) – Investigate and describe bivariate ….
A selection of test questions and solutions for ACMSP252 (Year 10).
ACMSP253 (Year 10) – Evaluate statistical reports in ….
A selection of test questions and solutions for ACMSP253 (Year 10).
ACMNA230 (Year 10) – Factorise algebraic expressions ….
A selection of test questions and solutions for ACMNA230 (Year 10).
Approaches to the WACE 2011 Mathematics 3C3D Exam
This document presents an approach or approaches to the 2011 WACE Mathematics 3C3D Examination. These approaches incorporate the use of CAS as well as ‘by hand’ solution methods. At times two alternative methods are presented. The providing of two solutions is intended to encourage a conversation between teachers and students about the most deserning and efficient way to tackle the mathematics presented in this form of assessment.
Category: General Resources
Technology: CLASSPAD 300/330
ClassPad II companion for General Maths 3
A ‘how to’ companion book for the Tasmanian General Maths 3 course written by Gary Anderson.
Category: General Resources
Technology: CLASSPAD 300/330
CP011 Simplifying and Expanding
Collect like terms and expand and simplify expressions such as 3(4-2x)^2.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP012 Factorising
Factorisation of numbers and expressions (eg quadratics)
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP041 Sequence: What Is My Rule?
Use the sequence function in Main to find the defining rule for various sequences
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP044 Edit and Delete User Defined Functions
Managing your own user defined functions such as those created in the previous topic.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP071 Define Function with Many Variables
Create and use a function with many variables. Also edit a user defined function in the program editor.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP307 Simultaneous Equations In Main
Solve simultaneously the equations 3y – 2x = 5 and x + 2y – 8 = 0 graphically using both Main and Graph windows.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP703 Geometry – Line Segment Midpoint
Draw a line segment between two points A and B and construct its midpoint.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP990 Update ClassPad Operating System
How to update the operating system of your hand-held ClassPad using a Windows PC.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP841 Reducible Interest
Use sequence to examine the balance of a reducible interest loan, determine total interest paid and find individual monthly interest figures.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP880 Explicit From Recursive
Determine the explicit formula for a sequence from a recursive definition using Sequence RUN and the rSolve() function.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP911 Using NumSolve
An introduction to using NumSolve from the Main menu in the context of the simple interest formula I=PRT/100.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP912 NumSolve Tips
Learn some tips on working efficiently in NumSolve.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP921 Financial Simple Interest
Calculate simple interest and future values in the Financial application.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP922 Financial Compound Interest
Solve compound interest problems in Financial, including finding future values, interest rates and time required.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP923 Financial Loan Repayment
Solve loan repayment problems in Financial, including payments, time periods and loan amounts.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP940 Verify Tool In Main
Use the Verify tool in Main to check steps when manually simplifying expressions.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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/.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP946 Reducible Interest Using repayII
Using the program repayII to solve reducible interest problems. repayII is freely available from www.charliewatson.com/classpad/.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP952 Using InterActive DiffCalc
A brief tour of the InterActive DiffCalc app and how it can be used to explore concepts of differential calculus.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP953 Using PicturePlot
A brief overview of picture plot, including the use of sliders to modify function parameters.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP980 Modify Shift Keys
Modify the functions assigned to the shift key and save time when using your favourite commands on your Classpad.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP984 Example Small Programs
Five examples of small utility programs freely available from the internet are shown.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP985 Create A Small Program
How to create a small program on your hand held Classpad.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP741 Angle in a Semi-Circle
Construct a diameter in a circle and then examine the angle in the semi-circle.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP742 Angles in the Alternate Segment
Construct a tangent to a circle and then examine angles in the alternate segment.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP743 Angles in the Same Segment
Construct 2 angles on the circumference from a common chord and examine.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP744 Cyclic Quadrilaterals
Construct a cyclic quadrilateral and examine sum of opposite pairs of angles.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP745 Lengths of Tangents
Construct 2 tangents to a circle from an external point and examine their lengths.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP746 Tangents and Radii
Examine the angle between a tangent to a circle and a radius.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP747 The Central Angle
Construct angles on the circumference and at the centre from a common chord and examine.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP750 Using Sliders In Geometry
How to use sliders in geometry to change lengths and angles.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP756 Coordinate Geometry: Perpendicular Line
Find the equation of the line through (2, -1) perpendicular to the line 5x – 2y +6 = 0.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP771 Find Transformation Matrix
Use an object and its transformed image in Geometry to determine the equivalent transformation matrix in Main.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP780 Animation Basics
Fast track your animation skills by animating a tangent line around a circle.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP781 Angle in a Semi-Circle 2
Examine the angle in the semi-circle using a slider.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP782 Angle in a Semi-Circle 3
Examine the angle in the semi-circle using the Animation tool.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP784 Cyclic Quadrilaterals 2
Examine sum of opposite pairs of angles using the Expression tool.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP800 Sequence Basics
Basic settings in the Sequence application.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP801 Sequence Explicitly Defined
Create the sequence of Triangle Numbers using an explicit definition, and graph the first 12 terms.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP802 Simple Recursive Sequences
Create an arithmetic sequence, then a geometric sequence, also finding the sums of the GP.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP803 Fibonacci Type Sequences
Create the Fibonacci Sequence, graph the first 10 terms and find the ratio of conscutive terms.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP550 Dice Simulation
Simulate throwing 120 six-sided dice in a spreadsheet and display the resulting distribution as a histogram.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP601 Storing Formulae In eActivities
Store and solve all your commonly used formulae as strips in eActivities.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP630 File Management
Lock, Unlock, Delete, Move Folder and Rename eActivities. Also create a new folder.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP631 Add Strip Help
Strip Help is a great way to add hints on what to do within any strip in an eActivity.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP633 eActivity Tips
Some tips on working within eActivities including working with text or calculation rows, deleting strips and adding strip help.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP641 Ambiguous Case Of Sine Rule
Examples of ways to deal with the ambiguous case of the sine rule when solving obtuse triangles.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP680 Geometry Link
A Geometry Link in an eActivity is used to investigate translations applied to a parabola. Other possibilities are also hinted at.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP700 Geometry – Basic Settings
Setting up the geometry window, including scales, displaying axes, integer grid and saving.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP701 Geometry – Line Segment
Draw a line segment, measure its properties of length, gradient, equation.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP702 Geometry – Line Segment A To B
Draw a line segment between two points A and B and determine its length.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP712 Geometry – Triangle
Draw a simple triangle and learn how to measure angles, sides, area and perimeter.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP713 Geometry – Right Triangle
Construct a right triangle and measure angles, sides, area and perimeter.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP714 Geometry – Solve Triangle 1
Construct and solve triangle ABC given two sides and the included angle.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP715 Geometry – Solve Triangle 2
Construct and solve triangle ABC given two sides and a non-included angle.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP716 Geometry – Solve Triangle 3
Construct and solve triangle ABC given all three sides.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP740 Diameter of a Circle
Draw a circle and construct a diameter.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP407 Create a Histogram from a Frequency Table
Create a histogram from a frequency table.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP410 Statistical Calcs: Two Variables
Calculate two variable statistics from paired data.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP411 Scatterplot and Regression
Create a scatterplot and then calculate and plot the least squares linear regression line through the data.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP412 xyLine Time Series
Create an xyLine of time series data.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP441 Prediction From Regression Line
Substitute a value into a recently calculated regression line to determine a predicted value.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP471 Inverse Normal Probability Calculations
Calculate inverse normal probabilities in Statistics using the Calc menu and Inverse Normal CD tool.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP473 Confidence Interval (Mean) From Summary Data
Calculate a confidence interval for a mean from supplied summary data in the statistics application.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP476 Confidence Interval (Prop) From Summary Data
Calculate a confidence interval for a proportion from supplied summary data in the statistics application.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP500 Spreadsheet Basics
A quick introduction to the common data types – text, number and formula – and some useful spreadsheet tools.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP501 Arithmetic Sequence
Create a simple sequence and then extend the spreadsheet using Cut and Paste technique.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP502 Fibonacci Sequence
Create the Fibonacci sequence, adjust columns widths, use the Fill Range command to extend the sequence and display very long integers.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP503 Geometric Sequence
Create a geometric sequence including the sum of terms and extend using Tap and Drag technique.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP520 Pie Chart
Create a pie chart, determine the percentages represented by each sector and dynamically modify.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP541 Simple Interest
Create a flexible Simple Interest spreadsheet using Absolute and Relative cell references and extend by copying and pasting multiple columns.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP542 Compound Interest
Create a flexible Compound Interest spreadsheet using Absolute and Relative cell references and format cells to 2dp.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP543 Reducible Interest
Use a spreadsheet to examine the balance of a reducible interest loan.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP544 Annuities
Use a spreadsheet to examine the balance of an annuity.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP545 Smoothing Time Series
Smooth time series data in a spreadsheet using moving averages, fit a regression line and calculate residuals.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP304 Graph an Exponential Function
Graph y = 4^x using the Graph & Table application, including use of Zoom facility.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP340 Jump To An Exact Coordinate
Jump to any exact coordinate whilst tracing along one of several functions in graph.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP341 Show Gradient When Tracing
Show the gradient of a function on screen when tracing along its graph.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP344 Definite Integration
Evaluate and illustrate definite integrals in Graph and Table using Analysis, G-Solve tools.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP345 Linear Programming
Solve a linear programming problem with 4 constraints in Graph and Table.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP349 Area Trapped Between Graphs
Evaluate and illustrate trapped areas in Graph and Table using Analysis, G-Solve tools.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP370 Polar Graphing
Graph a polar function using r=Type, adjust basic view window settings and become aware of some limitations.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP371 Parametric Graphing
Graph parametric functions using ParamType, adjust basic view window settings and become aware of some limitations.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP401 Statistical Calcs: From a List
Calculate one variable statistics from a single list of scores.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP402 Statistical Calcs: Frequency Table
Calculate one variable statistics from a frequency table.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP403 Create a Boxplot from a List
Create a boxplot from a single list of scores.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP404 Create a Boxplot from a Frequency Table
Create a boxplot from a frequency table.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP405 Create Multiple Boxplots
Create several boxplots in a single graph to compare their distributions.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP406 Create a Histogram from a List
Create a histogram from a single list of scores.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP047 Angle Tips
Learn how to over-ride the selected angle setting when working with trig functions in Main.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP050 Random Numbers
Generate random numbers and simulate throwing dice using the rand() and randlist() functions in Main.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP051 Assign and Delete Values to Variables
Temporarily and permanently assign and delete values to variables in Main. Useful for substitution.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP140 Differentiation Basics
Differentiation basics in Main using either Interactive, diff or the 2D template. Also higher orders and any variable.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP141 Equation Of Tangent To Curve
Find the equation of the tangent to a curve in Main using the tanLine function.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP142 Integration Basics
Find indefinite and definite integrals in Main using either Interactive, S or the 2D template.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP170 Volume Of Revolution
Find a volume of revolution in Main and graphically.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP171 Implicit Differentiation
Find the gradient at a point of an implicitly defined function in Main.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP200 Three Actions Before Solving
Important actions that should be taken in Main before trying any of the activities in this section.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP201 Solving Equations Step By Step
Solve the equation 7x – 3 = 2x + 4 using a traditional step by step approach in Main.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP202 Solving Equations With Solve
Solve the equation 7x – 3 = 2x + 4 using the solve command in Main.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP204 Solving Quadratic Equations
Solving the quadratic equation x^2 + 6x + 5 = 0 with the solve command in Main.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP206 Solving Simultaneous Linear Equations 2
Solve simultaneously the equations 2x – 3y = -1 and x + y = 7 using the 2D simultaneous template in Main.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP207 Solving Simultaneous Linear Equations 3
Solve simultaneously the equations 2x – 3y = -1 and x + y = 7 using the Solve command in Main.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP208 Rearranging Equations
How to express a as the subject of the equation t = 2a + 3b in Main.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP270 Use Of dSolve In Growth And Decay Problems
Use the differential equation solver with a simple growth and decay question.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP300 Graph and Table Settings
Important settings that should be taken in Graph & Table before trying any of the activities in this section.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP301 Graph a Linear Function 1 (Graph)
Graph y = 2x + 3 using the Graph & Table application, including setting the View Window.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP302 Graph a Linear Function 2 (Main)
Graph 3x + 2y =12 using the Main application, including use of Resize.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP303 Graph a Quadratic Function
Graph y = x^2 + 3x – 4 using the Graph & Table application, including setting the View Window.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP005 Exploring the Keyboard
A guided tour of the most commonly used areas of the Classpad keyboard.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP006 Basic Editing in Main
Some basic editing methods in Main, including drag, cut, copy and paste.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP010 – Numeric Calculations
Some basic calculation techniques including evaluation of expressions and substitution.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP013 Simplifying Algebraic Fractions
Simplification and addition of algebraic fractions
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP014 HCF and LCM
Determine the Highest Common Factor or Lowest Common Multiple of two numbers.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
CP040 Rounding
Rounding to a given number of decimal places or significant figures.
Category: 'How to' on Classpad/CAS
Technology: CLASSPAD 300/330, CLASSPAD FXCP400
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