# Exploring Cartesian Coordinates

On Monday we started some work on Cartesian coordinates with Mrs S. It gave us another opportunity to explore Scratch which uses Cartesian coordinates to locate sprites on the stage.

The Scratch stage showing the coordinates for locating sprites.

Cartesian coordinates allow us to give a precise location to an object on a grid or graph. We use a numbering system – (x,y) – to name the locations on a graph. The first number in the ordered pair is always on the horizontal axis and the second number is always on the vertical axis.

We used a grid that was the same size as the Scratch stage to draw our initials in the upper left quadrant and work out the coordinates of the points we would need to draw these using a sprite and the PEN commands in Scratch. For those who finished this challenge the next step was to translate, rotate and reflect our initials in the other quadrants of the Scratch stage. We are still working on our projects and have shared some of our unfinished ones via the Scratch website.

# Translation, Rotation and Reflection

On Monday during Maths we discussed of some words we meet when working with tasks from the transformation and location section of the Measurement and Geometry strand of our Maths curriculum.

When working with a 2 dimensional shape we can rotate, reflect and translate the shape.

To translate a shape is to move or slide it up and down or from side to side without changing the shape in any other way.

To reflect a shape is to flip the shape over a mirror line.

To rotate a shape is to turn it around a given point. The distance from the centre to any point on the shape stays the same.

We worked in pairs, using Scratch, to create a program that demonstrated our understanding of one of these mathematical terms. Mrs S has added our work to a Scratch studio and embedded some below.

# Our Dot Day Creations

Here are some of our Dot Day creations.

Rohan made a mark by creating a Scratch program. Click the green flag to watch his bouncing dots. Click the red octagon to stop the show.

We created a display outside our room with our blotting paper dots and our concentric circle patterns. We added a QR code directing those with a mobile device to our class blog post about Dot Day.

We explored creating patterns using concentric circles. Each level out from the centre contained an extra element of our pattern.