Resources tagged with: Linear functions and graphs
There are 26 NRICH Mathematical resources connected to Linear functions and graphs, you may find related items under Coordinates, functions and graphs.
Broad Topics > Coordinates, functions and graphs > Linear functions and graphs
The Square Under the Hypotenuse
Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?
Kite in a Square
Can you make sense of the three methods to work out what fraction of the total area is shaded?
What's That Graph?
Can you work out which processes are represented by the graphs?
Which Is Bigger?
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
Which Is Cheaper?
When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?
How Steep Is the Slope?
On the grid provided, we can draw lines with different gradients. How many different gradients can you find? Can you arrange them in order of steepness?
Surprising Transformations
I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?
Translating Lines
Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
Reflecting Lines
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.
At Right Angles
Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?
Negatively Triangular
How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?
Diamond Collector
Collect as many diamonds as you can by drawing three straight lines.
Perpendicular Lines
Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?
Parallel Lines
How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?
Spaces for Exploration
Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.
Intersections
Change one equation in this pair of simultaneous equations very slightly and there is a big change in the solution. Why?
Enclosing Squares
Can you find sets of sloping lines that enclose a square?
Electric Kettle
Explore the relationship between resistance and temperature
Painting Between the Lines
In abstract and computer generated art, a real object can be represented by a simplified set of lines. Can you create a picture using mathematical instructions?
Coordinate Designs
This task requires learners to explain and help others, asking and answering questions.
Close to Triangular
Drawing a triangle is not always as easy as you might think!
Four on the Road
Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion?
Spot the Difference
If you plot these graphs they may look the same, but are they?
Coordinating Classroom Coordinates
This article describes a practical approach to enhance the teaching and learning of coordinates.
Reflect Again
Follow hints to investigate the matrix which gives a reflection of the plane in the line y=tanx. Show that the combination of two reflections in intersecting lines is a rotation.
On the Road
Four vehicles travelled on a road. What can you deduce from the times that they met?