Other tags that relate to Painting Between the Lines
Length/distance. GeoGebra. Translations. Similarity and congruence. Art. Simultaneous equations. Constructions. Gradients. Speed and acceleration. Linear functions and graphs.There are 90 results
Broad Topics > Physical and Digital Manipulatives > GeoGebra
Up and Across
Age 11 to 14
Challenge Level
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.
Perpendicular Lines
Age 14 to 16
Challenge Level
Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?
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.
At Right Angles
Age 14 to 16
Challenge Level
Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?
Parallel Lines
Age 11 to 14
Challenge Level
How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?
How Far Does it Move?
Age 11 to 14
Challenge Level
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.
Impossible Picture?
Age 14 to 16
Challenge Level
Under what circumstances can you rearrange a big square to make three smaller squares?
Squirty
Age 14 to 16
Challenge Level
Using a ruler, pencil and compasses only, it is possible to construct a square inside any triangle so that all four vertices touch the sides of the triangle.
Speeding Up, Slowing Down
Age 11 to 14
Challenge Level
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its speed at each stage.
Pythagoras Proofs
Age 14 to 16
Challenge Level
Can you make sense of these three proofs of Pythagoras' Theorem?
Same Length
Age 11 to 16
Challenge Level
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
Mixing Paints
Age 11 to 14
Challenge Level
Can you work out how to produce different shades of pink paint?
Sine and Cosine for Connected Angles
Age 14 to 16
Challenge Level
The length AM can be calculated using trigonometry in two different ways. Create this pair of equivalent calculations for different peg boards, notice a general result, and account for it.
Mixing More Paints
Age 14 to 16
Challenge Level
Can you find an efficent way to mix paints in any ratio?
The Medieval Octagon
Age 14 to 16
Challenge Level
Medieval stonemasons used a method to construct octagons using ruler and compasses... Is the octagon regular? Proof please.
Points in Pairs
Age 14 to 16
Challenge Level
Move the point P to see how P' moves. Then use your insights to calculate a missing length.
Number Lines in Disguise
Age 7 to 14
Challenge Level
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
Mediant Madness
Age 14 to 16
Challenge Level
Kyle and his teacher disagree about his test score - who is right?
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?
A Brief Introduction to the Argand Diagram
Age 14 to 18
Challenge Level
Complex numbers can be represented graphically using an Argand diagram. This problem explains more...
The Farmers' Field Boundary
Age 11 to 14
Challenge Level
The farmers want to redraw their field boundary but keep the area the same. Can you advise them?
Solving Together - Estimating Angles
Age 11 to 14
Week 2
How well can you estimate angles? Playing this game could improve your skills.
Where Is the Dot?
Age 14 to 16
Challenge Level
A dot starts at the point (1,0) and turns anticlockwise. Can you estimate the height of the dot after it has turned through 45 degrees? Can you calculate its height?
Sine and Cosine
Age 14 to 16
Challenge Level
The sine of an angle is equal to the cosine of its complement. Can you explain why and does this rule extend beyond angles of 90 degrees?
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?
Areas from Vectors
Age 11 to 16
Use the applet to explore the area of a parallelogram and how it relates to vectors.
4 Dom
Age 5 to 16
Challenge Level
Use these four dominoes to make a square that has the same number of dots on each side.
Mapping the Territory
Age 14 to 18
Challenge Level
Can you devise a system for making sense of complex multiplication?
Into the Wilderness
Age 14 to 18
Challenge Level
Let's go further and see what happens when we multiply two complex numbers together!
Strolling Along
Age 14 to 18
Challenge Level
What happens when we multiply a complex number by a real or an imaginary number?
Coordinates of Corners
Age 11 to 16
Use the applet to make some squares. What patterns do you notice in the coordinates?
Round and Round a Circle
Age 14 to 16
Challenge Level
Can you explain what is happening and account for the values being displayed?
Triangle in a Triangle
Age 14 to 16
Challenge Level
Can you work out the fraction of the original triangle that is covered by the inner triangle?
Overlap
Age 11 to 14
Challenge Level
A red square and a blue square overlap so that the corner of the red square rests on the centre of the blue square. Show that, whatever the orientation of the red square, it covers a quarter of the. . . .
Exploring Diagonals
Age 11 to 16
Move the corner of the rectangle. Can you work out what the purple number represents?
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?
Angles Inside
Age 11 to 14
Challenge Level
Draw some angles inside a rectangle. What do you notice? Can you prove it?
Right Angles
Age 11 to 14
Challenge Level
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
Squaring the Circle and Circling the Square
Age 14 to 16
Challenge Level
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
Subtended Angles
Age 11 to 14
Challenge Level
What is the relationship between the angle at the centre and the angles at the circumference, for angles which stand on the same arc? Can you prove it?
Triangles in Circles
Age 11 to 14
Challenge Level
Can you find triangles on a 9-point circle? Can you work out their angles?
Square Coordinates
Age 11 to 14
Challenge Level
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?
Factor Lines
Age 7 to 14
Challenge Level
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Pegboard Quads
Age 14 to 16
Challenge Level
Make five different quadrilaterals on a nine-point pegboard, without using the centre peg. Work out the angles in each quadrilateral you make. Now, what other relationships you can see?
Tessellation Interactivity
Age 7 to 16
Challenge Level
An environment that enables you to investigate tessellations of regular polygons
NRICH is part of the family of activities in the Millennium Mathematics Project.