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### 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?” …

### SC211 Calculating with complex numbers using the fx-100AU PLUS

This short video shows how to perform a range of calculations with complex numbers. These include calculating the argument and complement of a complex number and converting between polar and rectangular forms. These calculations will be done using the Complex …

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### SC611 Calculating with vectors using the fx-100AU PLUS

This short video shows how to perform a range of calculations with vectors, including addition, scalar, dot and cross products. These calculations will be done using the Vectors mode of a Casio fx-100AU PLUS.

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### SC331 Calculating Z-distribution probabilities using the fx-100AU PLUS

This short video shows how to calculate probabilities corresponding to regions of the distribution of Z, the standard normal distribution. These calculations will be done using the Distribution menu of the Statistics mode of a Casio fx-100AU PLUS.

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### SC511 Verifying the truth of numerical statements using the fx-82/100AU PLUS

This short video shows how to verify the truth, or otherwise, of numerical statements, using a Casio fx-82/100AU PLUS. The verification is performed on an exact trigonometric ratio and a surd simplification.

### SC322 Equation of exponential model of ‘best fit’

This short video shows how to calculate the equation of the exponential model of ‘best fit’, using a Casio fx-82/100AU PLUS. This calculation is performed on atmospheric carbon data. Comparison is made with a linear model using Pearson’s r.

### SC321 Equation of regression line of best fit using fx82/100AU PLUS

This short video shows how to calculate the equation of the regression line of ‘best fit’, using a Casio fx-82/100AU PLUS. This calculation is performed on length of spring under suspension data. An extrapolation is made.

### SC312 Summary statistics frequency table using fx82/100AU PLUS

This short video shows how to calculate univariate summary statistics using a Casio fx-82/100AU PLUS. Calculated are the mean, standard deviation and five number summary of the outcomes of a probability experiment in a frequency table form.

### SC311 Summary statistics raw data using fx82/100AU PLUS

This short video shows how to calculate univariate summary statistics using a Casio fx-82/100AU PLUS. Calculated are the mean and median of raw rental data.

### SC121 Generating random numbers using the fx-82/100AU PLUS

This short video shows how to generate random numbers, using a Casio fx-82/100AU PLUS. The generation of uniformly distributed pseudo random integers is used to investigate a probabilistic scenario, the outcome of summing three four-sided dice repeatedly.

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### 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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### 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.

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### 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.

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### 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.

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Technology:

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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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### CG115 Performing trigonometric calculations

This short video shows how to perform trigonometric calculations using the Run-Matrix app of a CASIO fx-CG series graphics calculator in order to solve simple trigonometric equations. CG20 AU and CG50 AU versions are presented.

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### Working with Ellipses – Explore and Think – with the fx-CG20 AU

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-CG20 AU

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### Working with nested radicals – Explore and Think – with the fx-CG20 AU

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-CG20 AU.

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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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### 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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### Continued fractions – Explore and Think – with the fx-CG20 AU

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-CG20 AU.

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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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### 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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### 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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### 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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### 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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### 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 …

### 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.

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### 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.

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### 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.

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### 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.

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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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### 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.

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### 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.

### 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.

Category:
Technology:

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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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### The Confidence Interval for a Proportion

https://youtu.be/HzyxRPIIOH0

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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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### 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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### 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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### 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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### 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

### 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

### 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

### 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

### 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

### 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.

### 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.

### 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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### 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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### 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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### 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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### CG114 Working with angles – converting to and from degrees, mins and secs

This short video shows how to convert angles measured in degrees minutes and seconds to and from angles expressed as decimals using the Run-Matrix app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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### CG712 Generate and plot a table of values

This short video shows how to generate a table of values, along with a plot of the table, for a function using the Table app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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### CG222 Finding a linear model of ‘best fit’ for bivariate data

This short video shows how to determine a line 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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### CG713 Using a table of values

This video shows how to use a table of values to investigate the behaviour of a function, in particular when it takes a zero value, using the Table app of a CASIO fx-CG20 AU.

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### CG711 Making a table of values

This short video shows how to generate a table of values for a function using the Table 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### CG132 Evaluating a definite integral

This short video shows how to a definite integral using the Run.Mat 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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.

Category:
Technology:

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### The wind in your sails (9860)

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 9860 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:
Technology:

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### Seeing double (9860)

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 9860 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.

Category:
Technology:

Year Level: , , ,
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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.

### 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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### 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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### 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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### 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.

Category:
Technology:

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### Video solutions to the 2016 HSC Maths General 2 exam (feat. efficient fx-82 use) – Section II, Qu 30

This video presents an approach to the 2016 HSC Mathematics General 2 examination – Section II, Question 30. It features efficient the use of the Casio fx82AU PLUS II, as well as ‘by hand’ solution methods. A discussion of approaches to questions is shared. The video series is accompanied by pdf solutions.

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### Video solutions to the 2016 HSC Maths General 2 exam (feat. efficient fx-82 use) – Section II, Qu 28 & 29

These two videos present an approach to the 2016 HSC Mathematics General 2 examination – Section II, Question 28 and 29. They feature efficient the use of the Casio fx82AU PLUS II, as well as ‘by hand’ solution methods. A discussion of approaches to questions is shared. The video series is accompanied by pdf solutions.

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### Video solutions to the 2016 HSC Maths General 2 exam (feat. efficient fx-82 use) – Section II, Qu 26 & 27

These two videos present an approach to the 2016 HSC Mathematics General 2 examination – Section II, Questions 26 and 27. They feature efficient the use of the Casio fx82AU PLUS II, as well as ‘by hand’ solution methods. A discussion of approaches to questions is shared. The video series is accompanied by pdf solutions.

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### Video solutions to the 2016 HSC Maths General 2 exam (feat. efficient fx-82 use) – Section I

These two videos present an approach to the 2016 HSC Mathematics General 2 examination – Section I. They feature efficient the use of the Casio fx82AU PLUS II, as well as ‘by hand’ solution methods. A discussion of approaches to questions is shared. The video series is accompanied by pdf solutions.

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### 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.

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### ClassPad Top Tips for Exams – Collection 1

Using a ClassPad in an examination? Make sure you are familiar with these tips on ClassPad use.

This first collection of tips are:

* Tip #1 – Exact calculation taking too long? Interrupt it and calculate a decimal approximation.
* Tip #2 – Getting numerical results for an algebraic calculation? Clear any numerical values previously assigned to variables.
* Tip #3 – Solve for a parameter using a previously created user defined function
* Tip #4 – Evaluate an ‘improper’ definite integral (integrand not defined at endpoints)

All tips are presented in easy-to-follow video format

This collection also includes a video on how to create user defined function, a very useful approach to frequently performed calculations.

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### Approaches to the 2011 VCE Mathematical Methods (CAS) Exam

This document presents an approach or approaches to the 2011 VCE Maths Methods Examination 2. 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.

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### Video solutions to the 2016 VCE MM CAS Exam (feat. efficient Classpad use) – Section A – Q11 to Q20.

These two videos present an approach or approaches to the 2016 VCE Mathematical Methods Examination 2 – Section A, Q11 to Q20. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment. The video series is accompanied by a pdf of screenshots.

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### Video solutions to the 2016 VCE MM CAS Exam (feat. efficient Classpad use) – Section B – Q1 & Q2.

This two videos present an approach or approaches to the 2016 VCE Mathematical Methods Examination 2 – Section B – Q1 & Q2. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment. The video series is accompanied by a pdf of screenshots.

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### Video solutions to the 2016 VCE MM CAS Exam (feat. efficient Classpad use) – Section A – Q1 to Q10.

These two videos present an approach or approaches to the 2016 VCE Mathematical Methods Examination 2 – Section A, Q1 to Q10. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment. The video series is accompanied by a pdf of screenshots.

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### Video Solutions – 2019 VCE Methods Exam 2 (feat. efficient ClassPad use) – Section A – Q1 to Q10.

These two videos present an approach or approaches to the 2018 VCE Mathematical Methods Examination 2 – Section A, Q1 to Q10. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment.

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### Video Solutions – 2019 VCE Methods Exam 2 (feat. efficient ClassPad use) – Section B – Q5

This video presents an approach or approaches to the 2019 VCE Mathematical Methods Examination 2 – Section B, Q5. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment.

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### Video Solutions – 2019 VCE Methods Exam 2 (feat. efficient ClassPad use) – Section B – Q3 and Q4

These two videos present an approach or approaches to the 2019 VCE Mathematical Methods Examination 2 – Section B, Q3 and Q4. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment.

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### Video Solutions – 2019 VCE Methods Exam 2 (feat. efficient ClassPad use) – Section B – Q1 and Q2

These two videos present an approach or approaches to the 2019 VCE Mathematical Methods Examination 2 – Section B, Q1 and Q2. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment.

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### Video Solutions – 2019 VCE Methods Exam 2 (feat. efficient ClassPad use) – Section A – Q11 to Q20.

These two videos present an approach or approaches to the 2019 VCE Mathematical Methods Examination 2 – Section A, Q11 to Q20. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment.

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### Video Solutions – 2018 VCE Methods Exam 2 (feat. efficient ClassPad use) – Section B – Q5

These two videos present an approach or approaches to the 2018 VCE Mathematical Methods Examination 2 – Section B, Q5. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment.

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### Video Solutions – 2018 VCE Methods Exam 2 (feat. efficient ClassPad use) – Section B – Q3 and Q4

These two videos present an approach or approaches to the 2018 VCE Mathematical Methods Examination 2 – Section B, Q3 and Q4. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment.

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### Video Solutions – 2018 VCE Methods Exam 2 (feat. efficient ClassPad use) – Section B – Q1 and Q2

These two videos present an approach or approaches to the 2018 VCE Mathematical Methods Examination 2 – Section B, Q1 and Q2. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment.

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### Video Solutions – 2018 VCE Methods Exam 2 (feat. efficient ClassPad use) – Section A – Q11 to Q20.

These two videos present an approach or approaches to the 2018 VCE Mathematical Methods Examination 2 – Section A, Q11 to Q20. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment.

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### Video Solutions – 2018 VCE Methods Exam 2 (feat. efficient ClassPad use) – Section A – Q1 to Q10.

These two videos present an approach or approaches to the 2018 VCE Mathematical Methods Examination 2 – Section A, Q1 to Q10. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment.

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### Video Solutions – 2017 VCE Methods Exam 2 (feat. efficient ClassPad use) – Section B – Q3 and Q4.

These two videos present an approach or approaches to the 2017 VCE Mathematical Methods Examination 2 – Section B, Q3 and Q4. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment.

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### Video Solutions – 2017 VCE Methods Exam 2 (feat. efficient ClassPad use) – Section B – Q1 and Q2.

These two videos present an approach or approaches to the 2017 VCE Mathematical Methods Examination 2 – Section B, Q1 and Q2. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment.

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### Video Solutions – 2017 VCE Methods Exam 2 (feat. efficient ClassPad use) – Section A – Q11 to Q20.

These two videos present an approach or approaches to the 2017 VCE Mathematical Methods Examination 2 – Section A, Q11 to Q20. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment.

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### Video Solutions – 2017 VCE Methods Exam 2 (feat. efficient ClassPad use) – Section A – Q1 to Q10.

These two videos present an approach or approaches to the 2017 VCE Mathematical Methods Examination 2 – Section A, Q1 to Q10. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment.

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### 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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### Approaches to the 2012 VCE Mathematical Methods (CAS) Exam

This document presents an approach or approaches to the 2012 VCE Maths Methods Examination 2. 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.

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### VCE Mathematical Methods (CAS) November 2013 – Discerning, efficient ClassPad use

This document represents an approach to answering questions within the 2013 VCE Mathematical Methods (CAS) examination.
It may prove helpful when answering the questions:

– When should I use my ClassPad?
– When should I put down my ClassPad?
– Am I using my ClassPad efficiently?

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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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### 2015 VCE MM CAS exam solutions – Efficient Classpad Use

This document presents an approach or approaches to the 2015 VCE Maths Methods Examination 2. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment.

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### 2014 VCE MM CAS exam solutions – Efficient Classpad Use

This document presents an approach or approaches to the 2014 VCE Maths Methods Examination 2. These approaches incorporate the use of CAS as well as ‘by hand’ solution methods.

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### Financial Mathematics – Further Mathematics – 2016 and beyond.

Below you can download a set of notes that summarise the professional learning workshop conducted at the MAV offices on October 27, 2015. The workshop aimed to provide support to teachers on new VCCA Further Mathematics course to begin in Victoria in 2016.

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### Video solutions to the 2016 VCE MM CAS Exam (feat. efficient Classpad use) – Section B – Q3 & Q4.

This two videos present an approach or approaches to the 2016 VCE Mathematical Methods Examination 2 – Section B – Q3 & Q4. 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 discerning and efficient way to tackle the mathematics presented in this form of assessment. The video series is accompanied by a pdf of screenshots.

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### 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.

### CP071 Define Function with Many Variables

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

### CP044 Edit and Delete User Defined Functions

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

### 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

### 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.

### CP041 Sequence: What Is My Rule?

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

### CP012 Factorising

Factorisation of numbers and expressions (eg quadratics)

### CP011 Simplifying and Expanding

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

### 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.

### CP990 Update ClassPad Operating System

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

### CP985 Create A Small Program

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

### CP984 Example Small Programs

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

### 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.

### 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.

### CP980 Modify Shift Keys

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

### CP953 Using PicturePlot

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

### CP952 Using InterActive DiffCalc

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

### 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.

### CP946 Reducible Interest Using repayII

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

### 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/.

### CP940 Verify Tool In Main

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

### CP923 Financial Loan Repayment

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

### CP922 Financial Compound Interest

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

### CP921 Financial Simple Interest

Calculate simple interest and future values in the Financial application.

### 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.

### CP912 NumSolve Tips

Learn some tips on working efficiently in NumSolve.

### CP911 Using NumSolve

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

### CP880 Explicit From Recursive

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

### CP841 Reducible Interest

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

### 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.

### CP803 Fibonacci Type Sequences

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

### CP802 Simple Recursive Sequences

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

### CP801 Sequence Explicitly Defined

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

### CP800 Sequence Basics

Basic settings in the Sequence application.

### CP784 Cyclic Quadrilaterals 2

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

### CP782 Angle in a Semi-Circle 3

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

### CP781 Angle in a Semi-Circle 2

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

### CP780 Animation Basics

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

### CP771 Find Transformation Matrix

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

### 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.

### 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.

### CP756 Coordinate Geometry: Perpendicular Line

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

### CP750 Using Sliders In Geometry

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

### CP747 The Central Angle

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

### CP746 Tangents and Radii

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

### CP745 Lengths of Tangents

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

### CP744 Cyclic Quadrilaterals

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

### CP743 Angles in the Same Segment

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

### CP742 Angles in the Alternate Segment

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

### CP741 Angle in a Semi-Circle

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

### CP740 Diameter of a Circle

Draw a circle and construct a diameter.

### CP716 Geometry – Solve Triangle 3

Construct and solve triangle ABC given all three sides.

### CP715 Geometry – Solve Triangle 2

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

### CP714 Geometry – Solve Triangle 1

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

### CP713 Geometry – Right Triangle

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

### CP712 Geometry – Triangle

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

### CP702 Geometry – Line Segment A To B

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

### CP701 Geometry – Line Segment

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

### CP700 Geometry – Basic Settings

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

### CP680 Geometry Link

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

### 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.

### 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.

### CP641 Ambiguous Case Of Sine Rule

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

### CP633 eActivity Tips

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

### 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.

### CP631 Add Strip Help

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

### CP630 File Management

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

### CP601 Storing Formulae In eActivities

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

### 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.

### CP550 Dice Simulation

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

### CP545 Smoothing Time Series

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

### CP544 Annuities

Use a spreadsheet to examine the balance of an annuity.

### CP543 Reducible Interest

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

### CP542 Compound Interest

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

### CP541 Simple Interest

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

### CP520 Pie Chart

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

### CP503 Geometric Sequence

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

### CP501 Arithmetic Sequence

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

### CP500 Spreadsheet Basics

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

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

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

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

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

### CP471 Inverse Normal Probability Calculations

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

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