# Resources tagged with: Linear functions and graphs

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### There are 21 results

Broad Topics > Coordinates, Functions and Graphs > Linear functions and graphs

### Which Is Bigger?

##### Age 14 to 16Challenge Level

Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

### Which Is Cheaper?

##### Age 14 to 16Challenge Level

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?

### Negatively Triangular

##### Age 14 to 16Challenge Level

How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?

### Intersections

##### Age 14 to 18Challenge Level

Change one equation in this pair of simultaneous equations very slightly and there is a big change in the solution. Why?

### Diamond Collector

##### Age 11 to 16Challenge Level

Collect as many diamonds as you can by drawing three straight lines.

### Spaces for Exploration

##### Age 11 to 14

Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.

### Enclosing Squares

##### Age 11 to 14Challenge Level

Can you find sets of sloping lines that enclose a square?

### Kite in a Square

##### Age 14 to 16Challenge Level

Can you make sense of the three methods to work out the area of the kite in the square?

### Close to Triangular

##### Age 14 to 16Challenge Level

Drawing a triangle is not always as easy as you might think!

##### Age 14 to 16Challenge Level

Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion?

##### Age 14 to 16Challenge Level

Four vehicles travelled on a road. What can you deduce from the times that they met?

### Painting Between the Lines

##### Age 11 to 16Challenge Level

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?

### Perpendicular Lines

##### Age 14 to 16Challenge 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 14Challenge 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 14Challenge Level

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

### The Square Under the Hypotenuse

##### Age 14 to 16Challenge Level

Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?

### At Right Angles

##### Age 14 to 16Challenge Level

Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?

### Parallel Lines

##### Age 11 to 14Challenge Level

How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?

### Surprising Transformations

##### Age 14 to 16Challenge Level

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?

### Electric Kettle

##### Age 14 to 16Challenge Level

Explore the relationship between resistance and temperature