GCSE

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GCSE

Writing Formulae

Students learn how to write mathematical formulae using written descriptions.  As learning progresses students b...

Substitution into Formulae

Students learn how to substitute known values into formulae using the order of operations and algebraic notation...

Rearranging Formulae by Factorising

Students learn how to change the subject of a formula by factorising and the balance method.  A treasure hunt ac...

Rearranging Formulae

Rearranging formulae is a key topic at GCSE.  Students learn how to use the balance method and order of operatio...

Kinematics Formulae

In this mathematics lesson students learn how to apply and manipulate various kinematics formulae to solve and m...

Long Division

Students learn how to perform long division using equivalent and simplified fractions.  As learning progresses t...

Long Multiplication

Students learn how to perform long multiplication using ‘The Chinese Method’.  To progress students begin to app...

Ordering Decimal Numbers

Students learn how to arrange decimal numbers in ascending order by using a number line.  As learning progresses...

Multiplying and Dividing by Tens

To multiply and divide by powers of ten students are taught to use the place value table and shift the digits to...

3D Trigonometry

To solve problems involving trigonomety in 3D shapes students are taught to identify 2D right-angled triangles a...

Cosine Rule – Finding Angles

Students learn how to derive and apply the Cosine Rule to find missing angles in triangles.  As learning progres...

Cosine Rule – Finding Lengths

Students learn how to derive and apply the Cosine rule to find missing lengths in triangles.  As learning progre...

Exact Trigonometric Solutions

Students learn how to solve trigonometrical equations with exact solutions using special triangles.   As learnin...

Pythagoras’ Theorem – Finding the Hypotenuse

Students learn how to derive and apply Pythagoras' Theorem to find the hypotenuse of right-angled triangles.  A...

Pythagoras’ Theorem – Shorter Sides

Students learn how to calculate a shorter side of a right-angled triangle using Pythagoras' Theorem.  As learni...

Introducing Pythagoras’ Theorem

Students discover Pythagoras’ Theorem through construction of Pythagorean triples.  As learning progresses stude...

Mr Mathematics Blog

Mathematics OFSTED Inspection – The Deep Dive

Earlier this week, my school took part in a trial OFSTED inspection as part of getting ready for the new inspection framework in September 2019. This involved three Lead Inspectors visiting our school over the course of two days. The first day involved a 'deep dive' by each of the Lead Inspectors into Mathematics, English […]

How to Solve Quadratics by Factorising

The method of how to solve quadratics by factorising is now part of the foundational knowledge students aiming for higher exam grades are expected to have.   Here is an example of such a question. Solve x2 + 7x – 18 = 0 In my experience of teaching and marking exam papers students often struggle with […]

How Write 3 Part Ratios

When learning how to write 3-part ratios students need to understand how ratios can be made equivalent. The start of the lesson reminds students by asking which of six ratios is the odd one out.  This is presented to the class as they come into the lesson.    Writing Equivalent Ratios  A few students immediately go […]