The Straight Line
and its gradient (slope)
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)
The Advanced Level
Introduction to differentiation
The gradient of a chord
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)
The Autographhome page 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
