Orders of magnitude, estimation and analogy in Chemistry... How do you convey to your students the scale of numbers indicated by the mole? One way is to use an analogy I've often introduced the mole using an analogy and have used many examples over the years. Here's a selection you may want to consider... Raindrops We'll change this to cubic kilometres using a conversion factor... The volume of 1 mole of raindrops will be 24 million cubic kilometres. The estimated volume of

Simply Maths 'Completing the Square': A Step-by-Step Guide Quadratic equations are fundamental in algebra. While there are several ways to solve them, one of the most elegant and instructive techniques is through 'completing the square'. This method transforms the quadratic equation into a perfect square trinomial, making it easier to solve. Before diving into the steps, let's recall a few important concepts: Quadratic Equation: An equation of the form Perfect Square Trinomia

Simply Maths Square numbers are a fascinating topic that has intrigued scholars, mathematicians, and enthusiasts for centuries. As this...

Simply Maths Prime factorisation is a way of expressing a number as a product of its prime factors. To do prime factorisation, you need...

Simply Maths A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. In other words, a prime number is a number that cannot be evenly divided by any other number except 1 and itself. Here are the first 25 prime numbers: 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 8

Simply Maths Triangular numbers are a sequence of numbers that can be represented as equilateral triangles. The nth triangular number is...

The Cornell Method is a note-taking system that helps students effectively organize and review their notes. Devised by Professor Walter...

Exams can be a stressful and anxiety-provoking time for many students. The pressure to perform well and the fear of failing can take a...

Increasingly, parents are using tutoring as a supplement to school. There are various reasons for this including: Increased competition...

Here we look at a great way to construct/sketch a straight line graph that requires just two points. The two-point gradient and...

Circle Theorem Revision

The formula ​y​ = ​mx​ + ​c​ represents a linear equation that plots a straight line on a graph. The y and x represent the axes, m the...

There are several ways to find the equation for a quadratic sequence - I have found the following to be the best. Quadratic sequences...

In ‘trial & improvement’ questions, there are steps you can use to guarantee full marks. The idea is to gradually zero in on a reasonable...