# Resources by William Emeny

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### Highest Common Factors and Lowest Common Multiples

Highest common factor and lowest common multiple – The first example finds the highest common factor of 6 and 15 by listing all the factors of each number, highlighting all the common factors and indicating the highest common factor. A similar technique is used to find the lowest common multiple of 6 and 15....

### Introduction to Graph Transformations

[b]Introduction to graph transformations [/b] – The video begins by suggesting that all graphs in a family are related in some way. There follows a useful explanation of function notation linking the notation to the inputs and outputs of a function machine.

The four graph transformations; translate...

### Maths and Art

Curves of pursuit – This video demonstrates how to construct curves of pursuit. Beginning by drawing a square, students are taken through the required steps. The video ends by suggesting different shapes as starting points.

Sequence designs – Beginning with the sequence of square numbers, a new...

This collection contains four sub-collections; Basic Operations, Number, Fractions, Graph Transformations. There is also a separate resource called Maths and art. Each sub-collection consists of a number of short, instructional videos describing how to perform a variety of mathematical operations. The videos are...

### Multiplication

Short multiplication – Four examples of multiplying numbers using the column method. The examples progress in difficulty multiplying two digit numbers by a single digit number, multiplying a three digit numbers by a single digit number and multiplying a decimal by a number with a single digit.

Gelosia...

This collection consists of five videos split into two sections.

In the first section there are videos explaining how to find factors of numbers, multiples of numbers and how to find prime numbers.

The second section contains two videos each explaining how to find the highest common factor and the...

### Stretches

[b]Stretch parallel to the y axis [/b] – looks at what happens to the graph of y=f(x) when it is transformed to give the graph of y=af(x). Starting with the graph of y = x[sup]2[/sup], different values of a are used to show that the graph is stretched from the x axis parallel to the y axis. The next example...

### Translations

[b]Translate parallel to the y axis [/b] – looks at what happens to the graph of y=f(x) when it is transformed to give the graph of y=f(x)±a. Starting with the graph of y = x[sup]2[/sup], different values of a are added or subtracted to the graph. The explanation continues to show that the graph is translated...