autograph Educational Technologies Autograph Autograph Specification

Autograph Specification

1D Statistics and probability

Data Sets and Groupings
  • Data entered as either raw or grouped
  • Continuous or discrete data
  • Transform a data set
  • Dynamicly change class width on grouped data
Generate data from probability distributions:
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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
Measurments of histograms and cumulative frequency diagrams Sample from data sets, demonstrating the central limit theorem
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Probability distributions
  • Plot and sample from
  • Rectangular (discrete or continuous)
  • Binomial
  • Poisson
  • Geometric
  • Normal
  • User defined, continuous or discrete
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Measurments 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

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
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
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.
area
Differential equations First and second order solved. Plot slope field. Boundary conditions specified interactively.
differential equations
Numerical methods
Bisection solution. Newton Raphson method. Step forwards and backwards.

iterationsNumerical 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
Least squares regression

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 

3d shape

Transform shapes:
  • Rotations
  • Reflections
  • Enlargements
  • Translations

as well as arbitrary matrix transformations.

Vectors

Vectors created from points or entered in Cartesian form. Add, subtract, copy, vector and scalar products. 

Lines and planes

Lines and planes from points, vectors or equations. Intersection of:
  • Lines and planes
  • Two planes
  • Three planes
Intersecting planes
Equations
Explicit, implicit, parametric, spherical and cylindrical polars
Conic section
Draw normals and tangets to surfaces and parametric curves Acceleration and velocity vectors to parametric curves
Normal to parametric curve

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.
On screen keyboard
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.