GCSE

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GCSE

Trigonometry Introduction

Students discover the three trigonometric ratios Sin, Cos and Tan through constructions.  As learning progresses...

Trigonometry – Lengths in Right-Angled Triangles

Students learn how to calculate unknown lengths in right-angled triangles using Sin, Cos and Tan.  As learning p...

Trigonometry – Problems with Right-Angled Triangles

Students learn how to calculate unknown lengths and angles in right-angled triangles using Sin, Cos and Tan.  As...

Volume of a Cone

Students learn how to calculate the volume of a cone using the base area and perpendicular height.  As learning ...

Surface Area of a Cone

Students learn how to calculate the curved surface area of a cone and total surface area of a cone by considerin...

Cylinder Total Surface Area And Volume

Students learn how to calculate the surface area and volume of a cylinder.  As learning progresses students are ...

Volume and Surface Area of Spheres

Students learn how to calculate the volume and surface area of spheres using the formulae.  As learning progress...

Total Surface Area of Prisms

Students learn how to calculate the surface area of spheres firstly by considering the net of a cuboid and later...

Total Surface Area and Volume Investigation

Students investigate possible surface areas given a fixed volume of a prism.  As learning progresses they consid...

Volume of Cuboids and Prisms

Students learn how to calculate the volume of prisms using the cross sectional area and depth.  As learning prog...

Volume of Pyramids

Students learn how to calculate the volume of a square based pyramid by considering the base area and one third ...

Quantitative and Qualitative Types of Data

Students learn how to categorise, calculate with and represent different types of data.  As learning progresses ...

Two-way Tables

Students learn how to design and interpret two-way tables.  As learning progresses they use two-way tables to so...

Stratified Sampling

Students learn the difference between different types of sampling methods and how to calculate a stratfied sampl...

Designing Questionnaires

Students learn how to design a questionnaire with non-biased or leading questions, suitable option boxes and tim...

Using the Range

The majority of the lesson is based around using the range to compare data sets in addition to an average.  Emph...

Mr Mathematics Blog

Comparing Datasets using the Mean and Range

In my experience, students, in general, find the concept of a mean straightforward to calculate and understand. However, the mean alone does not provide a complete picture of a set of data. To achieve this, a measure of spread is also required. The range is the simplest measure that can be used for this. Not […]

Solving Problems with Angles in Parallel Lines

Solving problems with angles in parallel lines is like solving a murder mystery.  One clue leads on to the next and the next until the murderer is found.  However, it doesn’t end there.  The detectives need to explain their reasoning in court using the relevant laws and procedures should the murderer plead not guilty.  If […]

Solving Two Step Equations using the Balance Method

An equation is when one expression, or term, is equal to another.  To solve an equation means to find the value of the variable (represented by a letter) that makes the two expressions equal.  There are two types of equations for secondary school mathematics, linear and none-linear.  In this blog I write about how I […]