Other tags that relate to Painting Between the Lines
Simultaneous equations. Similarity and congruence. Coordinates. Gradients. Reflections. Linear functions and graphs. Constructions. Length/distance. Speed and acceleration. Art.There are 9 results
Broad Topics > Physical and Digital Manipulatives > GeoGebra
Reflecting Lines
Age 11 to 14 Challenge Level:
Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.
Translating Lines
Age 11 to 14 Challenge Level:
Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
Napoleon's Theorem
Age 14 to 18 Challenge Level:
Triangle ABC has equilateral triangles drawn on its edges. Points P, Q and R are the centres of the equilateral triangles. What can you prove about the triangle PQR?
Pythagoras Proofs
Age 14 to 16 Challenge Level:
Can you make sense of these three proofs of Pythagoras' Theorem?
Rolling Around
Age 11 to 14 Challenge Level:
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
Rollin' Rollin' Rollin'
Age 11 to 14 Challenge Level:
Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?
Is There a Theorem?
Age 11 to 14 Challenge Level:
Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?
What Does Random Look Like?
Age 11 to 14 Challenge Level:
Engage in a little mathematical detective work to see if you can spot the fakes.
Just Rolling Round
Age 14 to 16 Challenge Level:
P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?
NRICH is part of the family of activities in the Millennium Mathematics Project.