Engaging Interactively

Engaging interactively

Mathematicians often use tools to help them to make discoveries, and it is well known that using manipulatives can help students to develop new conceptual understanding. In this feature, we share interactive tools and dynamic geometry to encourage your students to explore, pose questions, make conjectures and prove ideas.
 

In this short article, Alison and Liz explore how pupils' curiosity can be stimulated by digital environments.

Shifting Times Tables 

Age 11 to 14
Challenge Level
Can you find a way to identify times tables after they have been shifted up or down?

Polygon Rings 

Age 11 to 14
Challenge Level
Join pentagons together edge to edge. Will they form a ring?

Semi-regular Tessellations 

Age 11 to 16
Challenge Level
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

Quad in Quad 

Age 14 to 16
Challenge Level
Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?

Surprising Equalities 

Age 14 to 18
Challenge Level
Take any triangle, and construct squares on each of its sides. What do you notice about the areas of the new triangles formed?

Pentagon Construction 

Age 16 to 18
Challenge Level
Follow the instructions to create a regular pentagon. Can you prove it is indeed regular?