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DOGBALL 2.0 – A Study of Bounce – Part 1

Dogball is an enigma. The bouncy toy exterior hides a rich yet accessible modelling task within; a delicious intersection of maths and science, a potential PSMT/Folio task for Stage 1 Mathematical Methods featuring low floor, high ceiling and room for …


DOGBALL 2.0 – A Study of Bounce – Part 2 (Solution)

Below is a video outlining a solution answering the questions posed in the resource “Dogball 2.0 – A Study of Bounce – Part 1“. It is not intended to be the best or only way to answer these questions. It …


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?” …


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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CP172 Inverse Of A Function

Find the inverse of a function algebraically using invert and also view the inverse graphically.

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CP205 Solving Simultaneous Linear Equations 1

Solve simultaneously the equations 2x – 3y = -1 and x + y = 7 using a traditional step by step elimination method in Main.

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CP240 Restrict Range Of Solutions With Trig Equations

Two methods to restrict the range of solutions returned when solving trig equations in Main.

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CP250 Solve System Of Equations With 3 Unknowns

Use one of the 2D templates to solve systems of equations with 2 or more variables.

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CP350 Using Sliders To Explore Functions

How to use sliders in graph and table to explore function transformations.

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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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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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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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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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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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CG601 Drawing a ‘dynamic’ graph

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-CG series graphics calculator. CG20 AU and CG50 AU versions presented. In particular, the effect of changing the gradient value “m” in a linear function of the form y=mx+c is addressed.

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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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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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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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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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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 …


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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Optimisation (ClassPad)

When studying quadratic functions/calculus, do too many of your students find ‘optimisation questions’ hard? Have you ever wondered why? The booklet you can download here is the unit of work that supports the ideas presented in a number of workshops during 2011 and 2012 that outlined why students find the ideas hard. Basically, traditional teaching-and-doing approaches fail to focus on what is really happening: the measurement on one dimension and the subsequent calculation of other dimensions. Also, algebraic simplification turns out to be the devil – the patterns in the symbols are lost and so generalisation is not ‘seen’! The approach in the booklet supports the idea of each student developing a calculation and then comparing and contrasting to it other’s calculations – it is in this that the symbolic patterns appear and the generalisation literally reveals itself.

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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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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.

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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.

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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 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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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.

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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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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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ACMMG244 (Year 10) – Apply logical reasoning ….

A selection of test questions and solutions for ACMMG244 (Year 10).

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ACMNA240 (Year 10) – Solve linear equations …. alg. fractions ….

A selection of test questions and solutions for ACMNA240 (Year 10).

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

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

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

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

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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.

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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.


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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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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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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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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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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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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Simulating a random process – Explore and Think

In this Explore and Think activity students utilise the ability of handheld technology to easily model random processes. In this case the generation of random integers lets students explore the likely outcomes of two conflicting strategies in a game of chance. The evaluation of the desirability of these stategies can be based on experimental probability values, or can lead into an analysis of the probability of compound events.

EAT activities include student worksheets accompanied by solutions/teacher notes that feature step-by-step support for the use of the CASIO fx-82AU PLUS.

Category:
Technology:

Year Level: , , ,
State: , , , , , , ,


Stacked Exponents – Explore and Think

This Explore and Think activities looks at truely BIG numbers, and explores the idea of a “stacked exponent”, how big such numbers are and how they are calculated.

EAT activities include student worksheets accompanied by solutions/teacher notes that feature step-by-step support for the use of the CASIO fx-82AU PLUS.

Category:
Technology:

Year Level: , , ,
State: , , , , , , ,



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.

Category:
Technology:

Year Level: , ,
State: , , , , , , ,


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.

Category:
Technology:

Year Level: ,
State: , , , , , , ,


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.

Category:
Technology:

Year Level: , ,
State: , , , , , , ,


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.

Category:
Technology:

Year Level: , ,
State: , , , , , , ,


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

A selection of test questions and solutions for ACMMG242 (Year 10).

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

A selection of test questions and solutions for ACMMG243 (Year 10).

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ACMMG245 (Year 10) – Pythagoras and trigonometry

A selection of test questions and solutions for ACMMG245 (Year 10).

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ACMNA229 (Year 10) – Money and financial mathematics

A selection of test questions and solutions for ACMNA229 (Year 10).

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ACMNA231 (Year 10) – Simplify algebraic products ….

A selection of test questions and solutions for ACMNA231 (Year 10).

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ACMNA232 (Year 10) – …. simple algebraic fractions with numerical denominators ….

A selection of test questions and solutions for ACMNA232 (Year 10).

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ACMNA233 (Year 10) – Expand binomial products ….

A selection of test questions and solutions for ACMNA233 (Year 10).

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ACMNA234 (Year 10) – Substitute values into ….

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

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

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

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ACMNA236 (Year 10) – Solve linear inequalities ….

A selection of test questions and solutions for ACMNA236 (Year 10).

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ACMNA237 (Year 10) – Solve linear simultaneous ….

A selection of test questions and solutions for ACMNA237 (Year 10).

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ACMNA238 (Year 10) – Solve problems involving parallel ….

A selection of test questions and solutions for ACMNA238 (Year 10).

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ACMNA239 (Year 10) – Explore the connection between ….

A selection of test questions and solutions for ACMNA239 (Year 10).

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ACMSP246 (Year 10) – Describe the results of two- and three-step ….

A selection of test questions and solutions for ACMSP246 (Year 10).

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ACMSP247 (Year 10) – Use the language of ‚Äòif ….then, ‚Äògiven‚Äô ….

A selection of test questions and solutions for ACMSP247 (Year 10).

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ACMSP248 (Year 10) – Determine quartiles ….

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

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

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

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

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

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

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

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

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

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ACMNA230 (Year 10) – Factorise algebraic expressions ….

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

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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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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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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.


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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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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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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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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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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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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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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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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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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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.


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.


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.


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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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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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.


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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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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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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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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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.


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.


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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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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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.


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.


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.

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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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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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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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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.


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.

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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.

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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.

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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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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 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 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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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 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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CP011 Simplifying and Expanding

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


CP012 Factorising

Factorisation of numbers and expressions (eg quadratics)


CP041 Sequence: What Is My Rule?

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


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.


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


CP044 Edit and Delete User Defined Functions

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


CP071 Define Function with Many Variables

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


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.


CP990 Update ClassPad Operating System

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


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.


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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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.


CP841 Reducible Interest

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


CP880 Explicit From Recursive

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


CP911 Using NumSolve

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


CP912 NumSolve Tips

Learn some tips on working efficiently in NumSolve.


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.


CP921 Financial Simple Interest

Calculate simple interest and future values in the Financial application.


CP922 Financial Compound Interest

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


CP923 Financial Loan Repayment

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


CP940 Verify Tool In Main

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


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/.


CP946 Reducible Interest Using repayII

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


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.


CP952 Using InterActive DiffCalc

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


CP953 Using PicturePlot

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


CP980 Modify Shift Keys

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


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.


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.


CP984 Example Small Programs

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


CP985 Create A Small Program

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


CP741 Angle in a Semi-Circle

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


CP742 Angles in the Alternate Segment

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


CP743 Angles in the Same Segment

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


CP744 Cyclic Quadrilaterals

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


CP745 Lengths of Tangents

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


CP746 Tangents and Radii

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


CP747 The Central Angle

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


CP750 Using Sliders In Geometry

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


CP756 Coordinate Geometry: Perpendicular Line

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


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.


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.


CP771 Find Transformation Matrix

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


CP780 Animation Basics

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


CP781 Angle in a Semi-Circle 2

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


CP782 Angle in a Semi-Circle 3

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


CP784 Cyclic Quadrilaterals 2

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


CP800 Sequence Basics

Basic settings in the Sequence application.


CP801 Sequence Explicitly Defined

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


CP802 Simple Recursive Sequences

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


CP803 Fibonacci Type Sequences

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


CP550 Dice Simulation

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


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.


CP601 Storing Formulae In eActivities

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


CP630 File Management

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


CP631 Add Strip Help

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


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.


CP633 eActivity Tips

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


CP641 Ambiguous Case Of Sine Rule

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


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.


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.


CP680 Geometry Link

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


CP700 Geometry – Basic Settings

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


CP701 Geometry – Line Segment

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


CP702 Geometry – Line Segment A To B

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


CP712 Geometry – Triangle

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


CP713 Geometry – Right Triangle

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


CP714 Geometry – Solve Triangle 1

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


CP715 Geometry – Solve Triangle 2

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


CP716 Geometry – Solve Triangle 3

Construct and solve triangle ABC given all three sides.


CP740 Diameter of a Circle

Draw a circle and construct a diameter.


CP407 Create a Histogram from a Frequency Table

Create a histogram from a frequency table.


CP410 Statistical Calcs: Two Variables

Calculate two variable statistics from paired data.


CP411 Scatterplot and Regression

Create a scatterplot and then calculate and plot the least squares linear regression line through the data.


CP412 xyLine Time Series

Create an xyLine of time series data.


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