Resources tagged with Graphs similar to Fence It:
Other tags that relate to Fence It
Graphs. Area - squares and rectangles. Quadratic functions. Trial and improvement. Generalising. Optimisation. Interactivities. Working systematically. Cubes & cuboids. Visualising.There are 40 results
Broad Topics > Functions and Graphs > Graphs
Fence It
Age 11 to 14 Challenge Level:
If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
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.
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.
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 red dot affects its vertical and horizontal movement at each stage.
Alison's Mapping
Age 14 to 16 Challenge Level:
Alison has created two mappings. Can you figure out what they do? What questions do they prompt you to ask?
Diamond Collector
Age 11 to 14 Challenge Level:
Collect as many diamonds as you can by drawing three straight lines.
Walk and Ride
Age 7 to 14 Challenge Level:
How far have these students walked by the time the teacher's car reaches them after their bus broke down?
Charlie's Mapping
Age 11 to 14 Challenge Level:
Charlie has created a mapping. Can you figure out what it does? What questions does it prompt you to ask?
Exploring Quadratic Mappings
Age 14 to 16 Challenge Level:
Explore the relationship between quadratic functions and their graphs.
Matchless
Age 14 to 16 Challenge Level:
There is a particular value of x, and a value of y to go with it, which make all five expressions equal in value, can you find that x, y pair ?
Mathsjam Jars
Age 14 to 16 Challenge Level:
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
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?
More Quadratic Transformations
Age 14 to 16 Challenge Level:
Here are some more quadratic functions to explore. How are their graphs related?
Four on the Road
Age 14 to 16 Challenge Level:
Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion?
Quadratic Transformations
Age 14 to 16 Challenge Level:
Explore the two quadratic functions and find out how their graphs are related.
Which Is Bigger?
Age 14 to 16 Challenge Level:
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
Graphical Interpretation
Age 14 to 16 Challenge Level:
This set of resources for teachers offers interactive environments to support work on graphical interpretation at Key Stage 4.
Motion Sensor
Age 14 to 16 Challenge Level:
Looking at the graph - when was the person moving fastest? Slowest?
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.
Exploring Cubic Functions
Age 14 to 18 Challenge Level:
Quadratic graphs are very familiar, but what patterns can you explore with cubics?
Parabolic Patterns
Age 14 to 18 Challenge Level:
The illustration shows the graphs of fifteen functions. Two of them have equations y=x^2 and y=-(x-4)^2. Find the equations of all the other graphs.
More Parabolic Patterns
Age 14 to 18 Challenge Level:
The illustration shows the graphs of twelve functions. Three of them have equations y=x^2, x=y^2 and x=-y^2+2. Find the equations of all the other graphs.
Parabolas Again
Age 14 to 18 Challenge Level:
Here is a pattern composed of the graphs of 14 parabolas. Can you find their equations?
Steady Free Fall
Age 14 to 16 Challenge Level:
Can you adjust the curve so the bead drops with near constant vertical velocity?
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?
On the Road
Age 14 to 16 Challenge Level:
Four vehicles travelled on a road. What can you deduce from the times that they met?
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.
Exploring Simple Mappings
Age 11 to 14 Challenge Level:
Explore the relationship between simple linear functions and their graphs.
What's That Graph?
Age 14 to 16 Challenge Level:
Can you work out which processes are represented by the graphs?
Electric Kettle
Age 14 to 16 Challenge Level:
Explore the relationship between resistance and temperature
Ellipses
Age 14 to 18 Challenge Level:
Here is a pattern for you to experiment with using graph drawing software. Find the equations of the graphs in the pattern.
Immersion
Age 14 to 16 Challenge Level:
Various solids are lowered into a beaker of water. How does the water level rise in each case?
Bio Graphs
Age 14 to 16 Challenge Level:
What biological growth processes can you fit to these graphs?
Lap Times
Age 14 to 16 Challenge Level:
Two cyclists, practising on a track, pass each other at the starting line and go at constant speeds... Can you find lap times that are such that the cyclists will meet exactly half way round the. . . .
Which Is Cheaper?
Age 14 to 16 Challenge 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?
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.
Surprising Transformations
Age 14 to 16 Challenge 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?
Bus Stop
Age 14 to 16 Challenge Level:
Two buses leave at the same time from two towns Shipton and Veston on the same long road, travelling towards each other. At each mile along the road are milestones. The buses' speeds are constant. . . .
Maths Filler 2
Age 14 to 16 Challenge Level:
Can you draw the height-time chart as this complicated vessel fills with water?
Maths Filler
Age 11 to 14 Challenge Level:
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
NRICH is part of the family of activities in the Millennium Mathematics Project.