Welcome to > teachers > videos > videos from the autograph team


Welcome to a series of short videos to guide you through some of the amazing things you can do on Autograph 3.3 which have been created by the Autograph team. You can view the videos online or click on the disc icon to visit the TES website where you can save a copy of the video (this feature is coming soon!...)


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    Autograph Tutorial Videos 

 

1. Shape and Space

 
This tutorial video takes you through some reflections, enlargement and rotations, then some work on circle geometry.
 

 

2. Straight Lines and Quadratics

 
This tutorial video looks at using Autograph to introduce the straight line and its gradient (slope), and the quadratic and its various transformations.
 

 

3. Advanced Topics

 
This tutorial video looks at using Autograph to introduce Calculus (differentiation and integration) and Trigonometry.

 

 

4. Statistics and Handling Data

 
This tutorial video looks at using Autograph to explore bivariate data (and least squares regression), and to create standard statistical diagrams from raw data.

 

 

5. Probability

 
This tutorial video looks at using Autograph to explore the Binomial and normal distributions, and the Central Limit Theorem

 

 

6. Online Resources

 
In this video we take a quick tour through www.autograph-maths.com and www.tsm-resources.com, finding videos, data, images, blogs, etc, images to support Autograph.

 

 

7. Onscreen Keyboard

 
In this tutorial we have a look at Autograph's uniquely useful onscreen keyboard: for controlling Autograph, entering mathematical notation and changing languages.

 
       
    




     General Autograph Tips 

 

Best Practice

 
Autograph can be used to great effect to enhance a lesson, but to do this you need to follow the simple three step rule.
 

 

Euler's Nine Point Circle

 
In this starter activity you will be introduced to Object Selection and the Right-click Menu, which are used in most Autograph files.
 

 

Whiteboard Mode and the Onscreen Keyboard

 
If you use Autograph with a projector or interactive whiteboard then it is best to use Whiteboard Mode

 

 

Export to Webpage

 
Share your work with people who don't have Autograph installed using the Autograph player

 
       
    




     Videos for All Ages 

 

Creating Pin Boards

 
There may be some occasions when you want to prepare a file in advance of the lesson. For example Pin Boards are great for geometrical reasoning but the construction is not very helpful.
 

 

Sound Mirrors

 
In the 1920s, some very large structures were built along the South Coast of England to deal with the increasing threat of aerial attack.
 

 

The Human Cannonball

 
Modelling the path of a human cannonball by inserting an image into Autograph
 
       
    





     Videos for Key Stages 3 and 4 (age 11 to 16) 

 

Angle at the Centre Theorem

 
We are going to explore the connection between the angle at the centre of a circle and the angle at any point on the circumference.
 

 

Transformation Geometry

 
Using Autograph to demonstrate different types of transformation: translation, enlargement, rotation and reflection
 

 

Transformations in 3D

 
Because of the extra dimension transformations are somewhat different in three-dimensions. In this activity we will see what those differences are
 

 

Vectors

 
Addition, subtraction and multiplication of vectors in Autograph
 

 

Quadratic Equations

 
In this activity we explain how to enter equations and introduce Slow Plot, the Scribble Tool and the Constant Controller
 

 

Trigonometry

 
In this activity we will demonstrate a link between the graphs of trigonometric functions and the unit circle
 
    





    Videos for A Level Pure (age 16+) 

 

A Goat Grazing Half a Square Field

 
One of the classic "goat grazing a field" geometry problems demonstrated
 

 

Differentiating Trigonometric Functions

 
We begin by plotting the sine curve and its gradient function in degrees and use this to motivate the introduction of radians.

 

 

Introducing Differentiation

 
A simple visual introduction to calculus.

 

 

Lines and Planes from Vectors

 
We are going to investigate the vector equations of a line x = a + kb and a plane y = a + kb + µc

 

 

Volumes of Revolution

 
The concepts learnt in the investigation of areas can also be applied to volumes of revolution. Suppose the region under the curve y = f(x) between x = a and x = b is revolved around the x-axis to form a solid. What is the volume of this solid? How can we approximate the volume?
 

 

The Exponential Function

 
Investigating the exponential function by consider the function y = a^x and its derivative.
 

 

Finding the Area under a Curve

 
How can we find the area A under the curve y = f(x) between x = a and x = b?
 

 

Binomial Theorem

 
The Binomial approximation is often used for approximating powers of numbers close to 1, but how close to 1 do we need to be in order for the approximation to be any good?

 

 

Cubic Investigation

 
In this investigation into a strange property of cubics, students would normally first be introduced to a special case, for example
y = (x -2)(x + 3)(x + 4), and then asked to look at this more general case
 

 

Iteration

 
Many equations cannot be solved using conventional methods. In such cases we need to use numerical methods to find solutions
 

 

Parametric Equations

 
Many different types of equation can be entered in Autograph: cartesian, trigonometric, exponential, hyperbolic, implicit, conics, polar, parametric, piecewise and differential. In this activity we look at a parametric form of the Lissajous equation
 

 

Conic Sections

 
Create a plane and a cone in Autograph and investigate the intersections.
 
    





    Videos for A Level Applied (age 16+) 

 

Linear Programming

 
Using Autograph to visualise the solution to a linear programming problem
 

 

Terminal Velocity

 
The drag acting on a falling object increases as it accelerates. The terminal velocity is achieved when the drag is equal to the force due to gravity, so the net force is zero
 

 

Baby Weights

 
Analyse the weights of babies to determine how unusual a given weight is
 

 

Scatter Diagrams

 
It is possible to import a bivariate data set into Autograph but in this activity we are going to see how to create a dataset from points and we will then use that dataset to demonstrate least squared regression.
 

 

Poisson and Normal Approximations to Binomial

 
Both the Poisson and Normal distributions can be used as approximations to the Binomial, but for which values of n and p are the approximations any good?
 

 

The Central Limit Theorem

 
The Central Limit Theorem tells us that regardless of the parent distribution, the distribution of the sample means will have a Normal distribution.
 
 
 

 
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