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AUTOGRAPH TUTORIALS by Douglas Butler

Tutorial 1. Geometry and Measure (14 min)

A basic introduction
to how Autograph works.

The Whiteboard Mode
and multiple selection

dependent objects
Using the scribble tool

Reflection and rotation

Circles (coordinate geometry)
Circles (Euclidian geometry)

Tutorial 2. Algebra and Graphing (20 min)

The Straight Line
Using the constant controller
The parabola y = x²; slow plot

Transformations of y = x²:
y = ax², y = (ax)²,
y = (x – a)² and y = x² + a
Fitting a parabola to an image
(human canon-ball)

Other topics to cover:
Linear Programming
The Autograph 'Extras' pages

Tutorial 3. Advanced Topics (20 min)

Introduction to differentiation

Introducing trigonometry
Introducting integration

3D Autograph: conic sections
Volume of revolution of an area

Other topics to cover:
Vectors (2D and 3D)
Differential Eqns (1st/2nd order)
Parametric and Polar equations
(2D and 3D)

Tutorial 4. Statistics and Handling Data (16 min)

Introduction to bivariate data
The principle of least squares
Pasting 2 columns of data

The Statistics page
Pasting a single column of data
The TSM Data resource
The dot plot

Grouping data for a histogram
Cumulative frequency diagram
Exporting a table of statistics
and a screen image

Tutorial 5. Probability Distributions (13 min)

The binomial distribution
Fitting a dependent normal

Calculating binomial probabilities

The normal distribution
and calculations

Type 1 and Type 2 errors
The Central Limit Theorem

Tutorial 6. Online Resources (7 min)

www.autograph-maths.com

The TSM Resources site
www.tsm-resources.com

including
TSM Data
and
TSM Images

Tutorial 7. Onscreen Keyboard (9 min)

The onscreen keyboard allows users to control objects in Autograph, and to enter one-line mathematical expressions using a wide variety of symbols that are correctly interpreted, eg:

sin²2θ, 2x − 3y ≤ 6,
−b ± √(b²−4ac), y = |x|

It is also invaluable when using a whiteboard or a walk-about tablet. This tutorial also looks at changing languages

=> TSM Short Videos

Oundle, UK - March 2012