Trigonometry

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Trigonometry

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...

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...

Mr Mathematics Blog

Showing Progress during a Mathematics Lesson

Demonstrating student progression during a mathematics lesson is about understanding the learning objective and breaking that down into explicit success criteria. Using Success Criteria Take, for example, a lesson on calculating the area of compound rectilinear shapes. The intended learning objective was written on the main whiteboard. Success criteria were used to break down the individual […]

Plotting and Interpreting Conversion Graphs

Plotting and interpreting conversion graphs requires linking together several mathematical techniques.  Recent U.K. examiner reports indicate there are several common misconceptions when plotting and interpreting conversion graphs.  These include: drawing non-linear scales on the x or y axis, using the incorrect units when converting between imperial and metric measurements, taking inaccurate readings from either axis not […]

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 […]