For Autograph Help Click here

Autograph audit of teacher training needs - The Basics

Files from Alan Catley - Versions 3.0 and 3.2

Teaching mathematics with dynamic software has been shown to be more effective, more efficient, and above all more enjoyable for both teacher and learner.

The ability of Autograph to ‘select’ appropriate ‘dependent’ objects and then ‘animate’ mathematical concepts helps learners to better understand principles in many areas of the mathematics curriculum. This enables the teacher to adopt a more investigative approach than might otherwise be possible.

The following ‘resources’ are a mixture of detailed Lesson Plans and student ‘Activity/Work’ Sheets. They are all documented accounts of ideas that have been successfully trialled in the classroom with learners at all levels. Also included are some ideas to help understand examination questions as well as some ‘instruction sheets’ to help with project work.

For more information about these resources and training opportunities contact: Alan Catley    alan@catley.org      Tel 0191 2590347      Mobile 07855431818

Version 3.0

All these files are for Version 3.0 and apart from some small changes can be used with version 3.2.  However if you would like the files for Version 3.2 hosted at Kangaroo Maths then - Click here

Help Sheets

IS Calculus Activities with Autograph – PowerPoint
IS Transformations with Autograph – PowerPoint
IS Uses of Autograph - PowerPoint showing scope
IS 45 Exercises in Autograph –  Right Click then Save As
IS Autograph Buttons v3.20
IS Dynamic Text Boxes Version 3.20

 

 

Transformations Circles
An ‘interactive’ approach to teaching all four transformations A line and a circle - investigation
Translations - Paper based worksheet designed by students using the LP above The general equation of the circle
Reflections - Paper based worksheet designed by students using the LP above  
Rotations - Paper based worksheet designed by students using the LP above Linear Programming
Enlargements - Paper based worksheet designed by students using the LP above Linear Programming Problem
  The same problem on Autograph

 

 

Linear Functions Quadratic Functions
Number Chains Introducing the Quadratic Function
Investigating the ‘c’ in y = mx + c Investigating the ‘a’ in y = ax²
Investigating the ‘m’ in y = mx + c Investigating the ‘b’ in y = (x + b)²
Ways to define ‘gradient’ or ‘slope’ Investigating the ‘c’ in y = x² + c
The distance, slope, mid-point of a line joining 2 points Investigating the ‘complete square’ form
The connection between the gradient of 2 perpendicular lines Investigating ‘roots’ of quadratics
The equation of a line through any two points A typical examination question (equal roots)
Finding the equation of a perpendicular bisector Simultaneous Equations involving a quadratic function
Linear graphs ‘quiz’  
A typical ‘examination question’  
Mobile Phone Bills – a detailed investigation  

 

Statistics and Data Handling

 

IS Analysing integer data
IS Analysing grouped data – histograms, box plots etc
IS Producing a frequency data table
IS Histograms and Frequency Density – unequal class intervals
IS Scatter graphs – analysing 2 variable data
LP Animating Least Squares Regression
IS Moving Averages (Time Series)
WS Binomial & Poisson Distributions

 

 

 

Calculus - The Basics of Differentiation Calculus - The Basics of Integration
Pre-Calculus Activity The area under a straight line
Numerical Gradient The area under a curve1
Differentiation of a straight line The area under a curve 2
Introducing the Derivative The area under a curve 3
Differentiation of a quadratic Mid-Ordinate Rule
Differentiation of a cubic Trapezium Rule
Differentiation of a function in factorised form Integration as the reverse of differentiation
Finding the equation of a tangent to a quadratic Integration of a quadratic function
A typical exam question  

 

 

Functions Trigonometric Functions Exponential and Logarithmic Functions
Composite functions The graphs of y = asinx and y = cosx + d The ‘search’ for ‘e’
Translation of functions The graphs of y = sinbx and y  = tan(x + c) The Exponential Function
  Solving basic trig equations Transforming the graph of y = exp(x)

   

 

Numerical Methods More Topics
Iterations – instructions for the spreadsheet Parametric Equations
Iterations 2 Differential Equations
Iterations – the spreadsheet Terminal Velocity – Differential Equations
Iterations - graphical interpretation using Autograph Vector Equation of a line – lesson approach
Iterations on Autograph Vector Equation of a line – setting up Autograph

 

Alan Catley    alan@catley.org     Tel +44 (0)191 2590347

Autograph Tutorials

Autograph "How to ..."

For a range of demonstrations on the use of Autograph from the Autograph website - Click here

Drawing Scatter Graphs using Autograph
Drawing Statistical Graphs using Autograph
Autograph Data for use with the instruction files above
Drawing Transformations using Autograph
Entering Equations using Autograph

Autograph Download

  Autograph can be downloaded for a 30 day trial period - Click here

  If you only need to draw a range of graphs and do not need the full range of   
  options provided by Autograph then an old preview version is available for
  download to install on your computer.  This graphing software is particularly
  useful in the upper years when studying the nature of graphs.

autograph.exe   2.31Mb

Click on the filename above to download.  When you are prompted to save or run the file, choose Save and save it to a location on your hard drive.  After it has finished downloading, either choose "Open" on the download dialog, or double-click on autograph.exe to run it.  Follow the on-screen instructions to install.

Autograph Download

Please note that this is a freebie and only has a few of the features of the full version.

When you have finished you will need to restart your computer to use the programme.

When you have loaded the programme, you will see this at the top of the screen:

 

 

 

This button allows you to change the size of the axes      

This one allows you to enter an equation                        

Changing the axes gives you this screen.

Equal aspect means that the graph is not squashed:

Autoscale adjusts the y scale automatically if you have entered your equations and your x values.

Type in the equation: e.g. y = 3(x+2)(x-5)

To delete equations select: Equation then delete option