### 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

### 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 …

**Category:** 'How to' on Scientific, HSC Resources

**Technology:** FX100AU

### 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.

**Category:** 'How to' on Scientific, HSC Resources

**Technology:** FX100AU

### 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.

**Category:** 'How to' on Scientific, HSC Resources

**Technology:** FX100AU

### 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.

### SC111 Prime Factorisation using the fx-82/100AU PLUS

This short video shows how to find the prime factorisation of an integer, using a Casio fx-82/100AU PLUS. This powerful mathematical representation is then used to determine how many divisors two integers have, as well as their greatest common divisor.

### 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

### 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.

### Working with measurement in 3D – Explore and Think – with the fx-CG20 AU

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.

### 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.

### Simulating a random process – Explore and Think – with the 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.

### Stacked Exponents – Explore and Think – with the 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.

### 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.

**Category:** Lesson Activities (EAT)

**Technology:** FX9860GAU, FXCG20/50AU

### 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.

### 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 …

### 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

### 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 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.

### 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

### 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.

### 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.

### 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.

### 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.

### 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.

### ACMSP250 (Year 10) – Compare shapes of box plots ….

A selection of test questions and solutions for ACMSP250 (Year 10).

### ACMNA241 (Year 10) – Solve simple quadratic equations ….

A selection of test questions and solutions for ACMNA241 (Year 10).

### 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).

### ACMSP253 (Year 10) – Evaluate statistical reports in ….

A selection of test questions and solutions for ACMSP253 (Year 10).

### ACMSP252 (Year 10) – Investigate and describe bivariate ….

A selection of test questions and solutions for ACMSP252 (Year 10).

### ACMMG242 (Year 10) – Solve problems involving surface area ….

A selection of test questions and solutions for ACMMG242 (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).

### ACMNA233 (Year 10) – Expand binomial products ….

A selection of test questions and solutions for ACMNA233 (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).

### ACMSP251 (Year 10) – Use scatter plots to investigate ….

A selection of test questions and solutions for ACMSP251 (Year 10).

### ACMSP249 (Year 10) – Construct and interpret box plots ….

A selection of test questions and solutions for ACMSP249 (Year 10).

### ACMNA234 (Year 10) – Substitute values into ….

A selection of test questions and solutions for ACMNA234 (Year 10).

### ACMMG243 (Year 10) – Formulate proofs involving congruent ….

A selection of test questions and solutions for ACMMG243 (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).

### ACMNA235 (Year 10) – Solve problems involving linear ….

A selection of test questions and solutions for ACMNA235 (Year 10).

### ACMSP248 (Year 10) – Determine quartiles ….

A selection of test questions and solutions for ACMSP248 (Year 10).

### ACMNA230 (Year 10) – Factorise algebraic expressions ….

A selection of test questions and solutions for ACMNA230 (Year 10).

### 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.

### 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.

### 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.

### 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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