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.

scratch 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.

  

Have you played any games that use coordinates? Where and when would it be useful to use coordinates? Please leave a comment sharing your thoughts.

 

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.

translation

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

reflection

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.

rotation

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.

Have we demonstrated our understanding of translation, rotation and reflection? How else could we share our knowledge about transforming shapes? Please leave comment sharing your thoughts.

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.

Dot Day display

Cascading Dots

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

What do you think of our dots? Have you used Scratch to create? How have you made your mark and where has it taken you? Please leave a comment sharing your thoughts.