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

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 […]