In my opinion, there is no better way of illustrating the concept of Volumes of Revolution to students than using Autograph’s unique 3D engine. Watch their delight at the area under the curve spins neatlyContinue reading
Category: Autograph
Autograph Video 47 – Further Integration
Following on from last week’s video, this time we look at how to use Autograph to cope with integration’s little twists, such as dealing with negative areas, working out the area between a curve andContinue reading
Autograph Video 46 – Integration – Area Under a Curve
This week we move from differentiation to integration by taking a look at how Autograph can be used to introduce students to the concept of the area under the curve. The good news is thatContinue reading
Autograph Video 45 – Tangents and the Gradient Function
This week we continue our look at the world of 2D graphing by examining how we can use the tangent tool and the gradient function to investigate quadratic curves. This offers a slick way ofContinue reading
Autograph Video 44 – Iteration
Following a request from Mr Howard of Bolton School, this week we look at how Autograph can be used to help students visualise how the iterative process works. We look at three different examples whichContinue reading
Autograph Video 43 – Graphing Quadratics
We are going to be looking at graphing on Autograph for the next few weeks, and what better way to start than by looking at some of the different ways we can represent quadratic equationsContinue reading
Autograph Video 42 – Coins and the Geometric Distribution
Continuing our theme of all things statistical, this week we take a look at how Autograph might be used to introduce students to the concept of the Geometric Distribution, with a little helping hand fromContinue reading
Autograph Video 41 – Dice and the Binomial
In this video we continue our look at statistics and probability by seeing how Autograph can be used to introduce the concept of the binomial distribution. We look at the classic example of tossing aContinue reading
Autograph Video 40 – Biased Dice & Balls in a Bag
This week we take a look at how Autograph can be used to introduce students to the concept of experimental probability. You can very quickly set up a probability distribution function of your choice (fairContinue reading
Autograph Video 39 – Extras – Trigonometry
In this video we take a look at the third of Autograph’s wonderful Extras pages – Trigonometry. Here we see where the graphs each of the trigonometric ratios comes from using the unit circle, andContinue reading
Autograph Video 38 – Extras – Monte Carlo Method
In this video we take a look at the second of Autograph’s wonderful Extras pages – the Monte Carlo Method. We see how this can be used to make an estimate for the value ofContinue reading
Autograph Video 37 – Extras – Dice Simulation
This week we take a look at one of the excellent Autograph Extras pages. The Dice Simulation page is fantastic for allowing your students to explore the concepts of experimental probability, sample sizes and distributions.
Autograph Video 36 – Reflections and Rotations in 3D
Your students have mastered reflections and rotations in 2D, they are getting a bit cocky, they are thinking maths is easy. Well, let’s see how they cope with another dimension!
Autograph Video 35 – Planes of Symmetry
We make good use out of our cube again this week, this time by taking a look at the suprisingly tricky question of: “how many planes of symmetry does a cube have?”. Autograph’s 3D modeContinue reading
Autograph Video 34 – Pythagoras and Trigonometry in 3D
Let’s put last week’s cube into good use by looking at how we can use it to help illustrate the difficult topics of Pythagoras and Trigonometry in 3D
Autograph Video 33 – Cubes and Euler!
This week we learn how to construct a 2x2x2 cube in Autograph, which will come in very handy when we come to look at Pythagoras in 3D, Planes of Symmetry and Vectors in the nextContinue reading
Autograph Video 32 – Autograph in 3D
In preparation for the next few videos, we take a look at some of the important tools needed for getting the most out of Autograph’s unique 3D engine
Autograph Video 31 – More Vectors in 2D
This week we take a look at how we can make the study of vectors in 2D more dynamic, which culminates in a suggestion for a nice little starter activity that you can try onContinue reading
Autograph Video 30 – Vectors in 2D
This week we look at how we can use Autograph to model Vectors in 2D, including the multiple of a vector and adding and subtracting two vectors
Autograph Video 29 – Finding the Line of Best Fit
Following on from our work on Scatter Diagrams, we take a look at how the Line of Best Fit is calculated. This provides a valuable link from Key Stage 4 maths to A Level StatisticsContinue reading