Transformations

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Transformations

Enlarging Shapes on a Grid

Students learn how to enlarge shapes objects on a grid using a centre and scale factor. Learning progresses from...

How to perform rotations about a Centre

Students learn how to rotate an object on a grid using a centre, direction and amount of turn.  As learning prog...

Planes of Symmetry in 3D Shapes

Students learn how to identify the planes of symmetry in 3D shapes.  Learning progresses from sketching the plan...

Reflecting Shapes on a Grid

Students learn about reflecting shapes on a grid using horizontal, vertical and diagonal mirror lines.  As learn...

Reflective symmetry in 2D shapes

Students learn how to describe reflective symmetry in 2D shapes using mirror lines.  Learning progresses from fi...

Translating Shapes using Vectors

Students learn about translating shapes using vectors. As learning progresses they move from performing translat...

Vector Addition and Subtraction

Students learn how to perform vector addition and subtraction using column notation.  As learning progresses stu...

Calculating lengths in similar shapes

Students learn how to identify and calculate missing lengths in similar shapes using the length scale factor. As...

Congruence

Students learn how to recognise and prove congruency using various angle properties and geometrical facts.  As l...

Describing Transformations

Students learn how to fully describe single transformations at GCSE.  Throughout the lesson students encounter t...

Enlargements on a Grid

Students learn how to perform and describe enlargements using a centre and scale factor.  As learning progresses...

Enlarging Shapes to a Negative Scale Factor

Students learn how to perform enlargements to a negative scale factor.  As learning progresses they are challeng...

Reflections on a Grid

Students learn how to perform reflections on a grid using straight line graphs as the mirror line.  As learning ...

Rotations on a Grid

Students learn how to perform rotations on a grid using a centre, direction and amount of turn.  As learning pro...

Translations using Vector Notation

Students learn how to perform rotations on a grid using a centre, direction and amount of turn.  As learning pro...

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 […]