Year 9 Visualising and Representing

In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

There are lots of different methods to find out what the shapes are worth - how many can you find?

My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?

Just because a problem is impossible doesn't mean it's difficult...

Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?

A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

Can you recreate squares and rhombuses if you are only given a side or a diagonal?

Can you sketch graphs to show how the height of water changes in different containers as they are filled?

Imagine we have four bags containing numbers from a sequence. What numbers can we make now?

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?