Can you find the connections between linear and quadratic patterns?
Can you figure out how sequences of beach huts are generated?
Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?
Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
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.
Collect as many diamonds as you can by drawing three straight lines.
Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?
How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?
Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?
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.
How far have these students walked by the time the teacher’s car reaches them after their bus broke down?
Find the area of the triangle enclosed by these lines.