26th May 2023

Year 8s decided to extend their Maths skills away from playing with numbers to playing with shapes. They did this by **exploring the mathematical field of transformation** **which involves manipulating the shape and/or position of a point, a line or geometric figure.** The original shape of the object is called the pre-image or object and the final shape and position of the object is the image under the transformation.

Transformations of shapes in Math can be done through **reflection, translation, rotation or enlargement.** The students decided to indulge in this enormous Maths concept through group work where each of the groups was to explore one type of transformation.

**Group 1: Reflection**

**Group 1** which comprised Nedra**,** Aisha V and Joseph tackled **reflection.** Joseph explained reflection to his teammates as a **flip** on a line **called the mirror line or the line of reflection** (in a layman’s language - what you see when you look at yourself in the mirror). They challenged themselves by **reflecting a rectangle in the line y=x** (in this line all the x and y coordinates are the same). To avoid making mistakes, they used a tracing paper and this was their result.

**Group 2: Translation**

Group 2 consisted of Precious, Prince, Harshith, Fraja and Abigail K who explored translation as a type of transformation. This moves every point in a figure the same direction. Harshith was quick to mention that this is the only transformation **where direction is maintained apart from keeping the shape congruent** (same size, same shape). Fraja also pointed out that when translating a shape you start with the horizontal movement (x) followed by the vertical movement (y), the same way in real-life, you crawl before you walk. They challenged themselves by **translating a triangle using vectors** and this is what they came up with.

**Group 3: Rotation**

**Group 3** consisted of Abigail, David, Roy and Michelle and tackled **rotation.** Michelle explained to his teammates that this involves **taking each point in a figure and rotating it a certain number of degrees around a given point either clockwise or anticlockwise.** David added that for correct rotation to be done, a tracing paper was necessary. They challenged themselves by **rotating a triangle 90° clockwise from the origin** (the point 0,0) and this is what they came up with

**Group 4: Enlargement**

**Group 4** consisted of Loise, Aisha Fameen, Hawi and Amara who explored on **enlargement.** Hawi was quick to point out that with **enlargement we change the size of the original shape to make it bigger or smaller by multiplying it by a scale factor.** They challenged themselves by **enlarging a triangle with a fractional scale factor** and this is what they came up with.