1D Statistics and probability
Data Sets and Groupings
Data entered as either raw or grouped
• Continuous or discrete data
• Transform a data set
• Dynamically change class width on grouped data
Generate data from probability distributions

Representations of data
• Histograms including frequency density
• Cumulative Frequency diagrams
• Box and whisker diagrams
• Dot plots
• Mean and three standard deviations
• Line graph
• Moving average
• Stem and leaf
• Statistics box with set size, mean, standard deviation
• Table of statistics and tabulated values |
Operations with data sets
Measurements of histograms and cumulative frequency diagrams. Sample from data
sets, demonstrating the central limit theorem

Probability distributions
Plot and sample from
• Rectangular (discrete or continuous)
• Binomial
• Poisson
• Geometric
• Normal
• User defined, continuous or discrete
Measurements and hypothesis tests fitting to data/ fit
dependent |
| 2D Graphing
Creation of interactive objects based on moveable points, lines,
vectors, conics, polynomials, shapes, data sets.

Shapes and transformations
Shapes either from a set of points or from a list of presets. Transformations
including:-
• stretches
• shears
• reflections
• rotations
• enlargements
• translations
as well as arbitrary matrix transformations. Transformed objects update as
the original object changes and can be chained. Rotations and enlargements
can be animated, changing the value of the parameter, as can matrix transformations.

Vectors
Create as an interactive object using points or with cartesian or polar coordinates.
Vectors can be added, subtracted, multiplied, duplicated, have the angle
between them found and can form the basis of straight lines and translations.
Equations
One line true notation entry in explicit, implicit, parametric, piecewise,
and polar forms.

Slow plot allows you to draw curves incrementally, stopping at important
points. |
Calculus
Differentiate, find the area below a curve or between two curves. Integration
treated as a first order differential equation.

Differential equations: First and second order solved. Plot slope field. Boundary
conditions specified interactively.

Numerical methods
Bisection solution. Newton Raphson method. Step forwards and backwards.

Numerical integration: Rectangle, trapesium and Simpson's methods. Animated the
number of divisions.
Tangents and normals
Plot tangents and normals to curves; evolute draws these in many places along
the curve, often leading to striking shapes.
Scatter graphs
• Data sets from points, files or entered through Autograph's spreadsheet
• Least squares regression graphically illustrated
• Fit straight lines, polynomial or fit your own equation to the data
|
| Three dimensional graphing
Points as the basis of objects
Form objects including:
• shapes
• lines
• vectors
• planes
Shapes
Either form shapes from joined triangles or select from a list of
preset shapes.
Transform shapes:
• Rotations
• Reflections
• Enlargements
• Translations
as well as arbitrary matrix transformations.
Lines and planes
Lines and planes from points, vectors or equations. Intersection of:
• Lines and planes
• Two planes
• Three planes |
Vectors
Vectors created from points or entered in Cartesian form. Add, subtract, copy,
vector and scalar products.
Equations
Explicit, implicit, parametric, spherical and cylindrical polars

Draw normals and tangets to surfaces and parametric curves Acceleration and
velocity vectors to parametric curves

|
| Extra features for the classroom
Customisability
Everything from the selection behaviour through the backgrounds, behaviour
of axes and thickness of the lines to the layout of the toolbars.
Interactive whiteboard friendly features
An on-screen keyboard allows you to enter equations without returning
to your computer.

|
The scribble tool lets you draw directly onto an Autograph page, avoiding
the layer system used by some manufacturers Many results are displayed
in the status bar; to make these more visible from a distance these can
be duplicated in a larger font in the status box. Whiteboard mode sets
Autograph's preferences in a way that is suitable for use with a data projector.
Instructions window
Leave instructions for pupils to follow embedded in a saved Autograph file.
NEW VERSION 3.3
INFO - FEBRUARY 2010
NEW
Autograph Activities books
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