# Autograph Videos – from Douglas Butler

#### TES Secondary maths resource collections

Collection Author: Craig Barton - Maths AST and creator of www.mrbartonmaths.com (TES Name: mrbartonmaths)

Alongside my own collection of Autograph Videos, and those from the Autograph team, comes this collection from the Autograph creator himself, Douglas Butler. Sit down with a cup of tea and let Douglas take you through some really innovative and interesting uses of Autograph in the classroom. My favourites have to be the reflection of the Red Arrows and the fascinating Exmouth Hexagons. I hope you enjoy these videos!

Also available on TES are my own weekly set of Autograph videos, and lots of Autograph Player Activities that don’t even require Autograph to be installed!

#### Tutorials

Tutorial 1 – Shape and Space

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

Tutorial 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

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

Tutorial 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.

Tutorial 5 – Probability

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

Tutorial 6 – Online Resources

Tutorial 7 – On Screen Keyboard

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

#### Special Videos

Reflections

• A look at the beauty of nature and the talent of the red arrows pilots

The Normal Distribution

• How to fit a normal distribution to data

Bivariate Data

• How to create Scatter Diagrams using a combination of Excel and Autograph

Torus (3D)

• What do you get when you rotate the equation of a circle about a line in 3D?

Least Squares Regression

• A simple and highly effective way of demonstrating to students where the least squares regression line comes from

Shot Put Investigation

• Why the optimal angle for a shot put to be thrown is not 45 degrees but 31!

The Exmouth Hexagons

• A special video from Autograph creator Douglas Butler. A very large hexagonal structure in Western Australia is grabbed from Google Earth and analysed in Autograph

Exploring Hexagons

• A special video from Autograph creator Douglas Butler. Lovely patterns created by rotating hexagons

Trigonometry 1

• A special video from Autograph creator Douglas Butler. Using Autograph’s standard level (degrees), a look at the basic trig functions and some transformations

Trigonometry 2

• A special video from Autograph creator Douglas Butler. Looking at radian measure, some trig formulae, and fitting some data

Trigonometry 3

• A special video from Autograph creator Douglas Butler. Using Autograph to explore Trig functions (in radians), their inverse, and some calculus concepts.