Interactive Lessons

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Interactive Lessons

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...

Sine Rule

Students learn how to derive and apply the Sine rule to find missing angle in triangular shapes.  As learning pr...

Trigonometry – Angles in Right-Angled Triangles

Students learn how to apply Sin, Cos and Tan to find missing angles in right-angled triangles.  As learning prog...

Trigonometry – Area of Triangles

Students learn how to derive and apply the area formulae for non-right-angles.  As learning progresses they are ...

Trigonometrical Graphs

Students learn how to plot and read from trigonometrical graphs between 0 to 360°.  As learning progresses they ...

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...

Mr Mathematics Blog

Calculating the Volume of a Pyramid

When calculating the volume of a pyramid we can substitute the values of the length, width and perpendicular height into the formula V = 1/3 lwh.  In my experience this is often provided for the students with little explanation as to why a volume of a pyramid is exactly one third the volume of a […]

Solving 3D Problems using Trigonometry

When teaching solving 3D problems using trigonometry we begin the lesson with a recap of Pythagoras’ Theorem and the three trigonometric ratios.  We do this by matching the ratio and equations to the respective right-angled triangle.   Students are encouraged to work in pairs and to show the diagrams as part of the working out on […]

Rounding to a significant figure

When I teach rounding to a significant figure, I ask the class to discuss in pairs or small groups a definition for the word significant.  It is a word that all the students have heard before but not all are able to define. After 2 or 3 minutes of conversation I ask the students to […]