Why is Autograph Unique?

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 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 tangents to surfaces and parametric curves Acceleration and velocity vectors to parametric curves.

Extra features for the classroom

Customisability

Everything from the selection behavior through the backgrounds, behavior 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.