# Resources search

# Search results

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-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.

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.

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.

This Explore and Think activities looks at truly 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-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.

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

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 strategies 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-CG20 AU.

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. :)

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.

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.

This short video shows how to calculate probabilities associated with a binomial distribution using the Statistics app of a CASIO fx-CG20AU.

This short video shows how to calculate a confidence interval for p using the Statistics app of a CASIO fx-CG20AU.

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-CG20AU.

This short video shows how to sketch the tangent to a curve using the Graph app of a CASIO fx-CG20AU.

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-CG20AU.

This short video shows how to draw the graph of function using the Graph app of a CASIO fx-CG20AU.

This short video shows how to a definite integral using the Run.Mat app of a CASIO fx-CG20AU.

This short video shows how to calculate probabilities associated with a normal distribution using the Statistics app of a CASIO fx-CG20AU.

This short video shows how to perform calculations involving the Combinations function nCr using the Run.Mat app of a CASIO fx-CG20AU.

This short video shows how to use a recursive relationship to generate a table of values using the Recursion app of a CASIO fx-CG20AU.

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-CG20AU.

This short video shows how to solve a system of linear simultaneous equations using the Equation app of a CASIO fx-CG20AU.

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-CG20AU.

This short video shows how to operate with fractions using the Run.Mat app of a CASIO fx-CG20AU.

This short video shows how to generate a table of values for a function using the Table app of a CASIO fx-CG20AU.

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-CG20AU.

This short video shows how to draw a scatterplot for bivariate data using the Statistics app of a CASIO fx-CG20AU.

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-CG20AU.

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-CG20AU.

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-CG20AU.

- 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

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-CG20AU.

- 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

This short video shows how to draw a histogram of list data using the Statistics app of a CASIO fx-CG20AU.

- 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

This short video shows how to draw a boxplot for list data using the Statistics app of a CASIO fx-CG20AU.

- This video stands alone but also can be viewed as Part 4 of a 5-part series of videos on working with univariate data.
- The 5 videos are numbered CG211, CG212, ... , CG215

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-CG20AU.

- This video stands alone but also can be viewed as Part 5 of a 5-part series of videos on working with univariate data.
- The 5 videos are numbered CG211, CG212, ... , CG215

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?” This question drives the generation and use of an algebraic model for the geometric system and provides a natural purpose for the vertex form of a quadratic function. The unit then focuses on families of quadratic functions, using technology and algebraic techniques to appreciate their graphical and algebraic characteristics. The unit includes two videos that can be used by teachers to get an idea of how to start the unit, or can be used in class as a 'prop' to run the first few lessons, along with a 'chapter replacement' booklet, complete with e-tech support and answers to questions.

This short video shows how to solve 'any' equation using the numerical solver in the Equation app of a CASIO fx-CG20AU. Changing the 'seed' to obtain an alternative solution, and the graphical representation of multiple solutions, is included.

This short video shows how to generate (pseudo) random numbers, both integer and otherwise, using the Run-Matrix app of a CASIO fx-CG20AU.

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-CG20AU.

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-CG20AU.

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-CG20AU.

This short video shows how to convert measurement values like temperature and area between different units of measurement using the Run-Matrix app of a CASIO fx-CG20AU.

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-CG20AU.

This short video shows how to calculate the Greatest Common Divisor (GCD) and Lowest Common Multiple (LCM) of two integers using the Run-Matrix app of a CASIO fx-CG20AU.

This short video shows how to define and calculate with matrices using the Run-Matrix app of a CASIO fx-CG20AU.

This short video shows how to perform single calculations, like finding matrix inverses and determinants, using the Run-Matrix app of a CASIO fx-CG20AU.

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-CG20AU.

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-CG20AU.

This short video shows how to draw an animated 'dynamic' graph showing the effect of changing a parameter upon the graph of a function, using the Dyna Graph app of a CASIO fx-CG20AU. In particular, the effect of changing the gradient value "m" in a linear function of the form y=mx+c is addressed.

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-CG20AU.

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-CG20AU.

This short video shows how to change a graph's View Window, using the Graph app of a CASIO fx-CG20AU, and discusses some of the advantages and disadvantages of different View Window settings.

This short video shows how to perform trigonometric calculations using the Run-Matrix app of a CASIO fx-CG20AU in order to solve simple trigonometric equations.

This short video shows how to calculate loan repayments on a reducing balance, compound interest loan using the Financial app of a CASIO fx-CG20AU.

This short video shows you how to find the area of a region between two graphs using the Graph app of a CASIO fx-CG20AU.

This short video shows you how to transfer memory content between the Main and Storage Memory of a CASIO fx-CG20AU.

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.

This short video shows you how to change the setting of a CASIO fx-CG20AU so that numerical values are displayed in different ways.

This short video shows you some ways to reset the memory of a CASIO fx-CG20AU.

This short video shows you how to build a spreadsheet to hunt for Pythagorean Triads on a CASIO fx-CG20AU.

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