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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. 🙂


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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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 …

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CG111 Calculating with fractions

This short video shows how to operate with fractions using the Run.Mat app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CG112 Calculating recursively using Ans

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


CG113 Converting units of measurement

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-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CG116 Calculating GCD and LCM

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-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CG211 Entering and editing data in lists

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

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


CG212 Obtaining a 1-variable analysis of list data

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

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


CG213 Drawing a histogram of lists data

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

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


CG214 Drawing a boxplot of list data

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

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


CG215 Drawing multiple boxplots of list data

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

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


CG221 Drawing a scatterplot for bivariate data

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


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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Programs referred to in the “How Do I CODE …” book for the fx-CG50 AU

Download the programs that accompany the book How Do I CODE on a CASIO fx-CG50AU.

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SC111 Prime Factorisation using the 2nd Edition 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.

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SC112 Calculating the GCD and LCM of integers using a Casio 2nd Edition fx-82AU PLUSII or fx-100AU PLUS Scientific Calculator

This short video shows how to find the greatest common devisor (GCD) and lowest common multiple (LCM) of two integer, using a Casio 2nd Edition fx-82AU PLUSII or fx-100AU PLUS Scientific Calculator.


SC121 Generating random numbers using the 2nd Edition fx-82/100AU PLUS

This short video shows how to generate random numbers, using a Casio 2nd Edition 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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SC131 Converting between units of measurement on a Casio fx-100AU PLUS 2nd Edition Scientific Calculator

This short video shows how to use a Casio fx-100AU PLUS 2nd Edition to perform conversions between frequently used units of measurement.


SC211 Calculating with complex numbers using the fx-100AU PLUS 2nd Edition Scientific Calculator

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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SC311 Summary statistics raw data using Casio 2nd edition fx-82AU PLUSII or fx-100AU PLUS scientific calculator

This short video shows how to calculate univariate summary statistics using a Casio 2nd edition fx-82AU PLUSII or fx-100AU PLUS scientific calculator. Calculated are the mean and median of raw rental data.  


SC312 Summary statistics frequency table using a Casio 2nd edition fx-82AU PLUSII or fx-100AU PLUS scientific calculator

This short video shows how to calculate univariate summary statistics using a Casio 2nd edition fx-82AU PLUSII or fx-100AU PLUS scientific calculator. Calculated are the mean, standard deviation and five number summary of the outcomes of a probability experiment in …


SC321 Equation of regression line of best fit using a Casio 2nd edition fx-82AU PLUSII or fx-100AU PLUS scientific calculator

This short video shows how to calculate the equation of the regression line of ‘best fit’, using a Casio 2nd edition fx-82AU PLUSII or fx-100AU PLUS scientific calculator. This calculation is performed on length of spring under suspension data. An …


SC322 Equation of exponential model of ‘best fit’ using a Casio 2nd edition fx-82AU PLUSII or fx-100AU PLUS scientific calculator

This short video shows how to calculate the equation of the exponential model of ‘best fit’, using a Casio 2nd edition fx-82AU PLUSII or fx-100AU PLUS scientific calculator. This calculation is performed on atmospheric carbon data. Comparison is made with …


SC331 Calculating Z-distribution probabilities using the Casio fx-100AU PLUS 2nd Edition Scientific Calculator

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 2nd Edition …

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SC511 Verifying the truth of numerical statements using a Casio 2nd edition fx-82AU PLUSII or fx-100AU PLUS scientific calculator

This short video shows how to verify the truth, or otherwise, of numerical statements, using a Casio 2nd edition fx-82AU PLUSII or fx-100AU PLUS scientific calculator. The verification is performed on an exact trigonometric ratio and a surd simplification.


SC611 Calculating with vectors using the Casio fx-100AU PLUS 2nd Edition Scientific Calculator

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 2nd Edition Scientific Calculator.

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