How much energy has gone into warming the planet?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Get some practice using big and small numbers in chemistry.
Work out the numerical values for these physical quantities.
Explore the relationship between resistance and temperature
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Examine these estimates. Do they sound about right?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?
Which units would you choose best to fit these situations?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Where should runners start the 200m race so that they have all run the same distance by the finish?
Are these estimates of physical quantities accurate?
When you change the units, do the numbers get bigger or smaller?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
Explore the properties of perspective drawing.
Make your own pinhole camera for safe observation of the sun, and find out how it works.
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Can you work out what this procedure is doing?
Formulate and investigate a simple mathematical model for the design of a table mat.
Which dilutions can you make using only 10ml pipettes?
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Analyse these beautiful biological images and attempt to rank them in size order.
How would you go about estimating populations of dolphins?
How efficiently can you pack together disks?
Simple models which help us to investigate how epidemics grow and die out.
Can you work out which processes are represented by the graphs?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Various solids are lowered into a beaker of water. How does the
water level rise in each case?
Explore the properties of isometric drawings.
Can you work out which drink has the stronger flavour?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
This problem explores the biology behind Rudolph's glowing red nose.
When a habitat changes, what happens to the food chain?
Is it cheaper to cook a meal from scratch or to buy a ready meal? What difference does the number of people you're cooking for make?
How do you write a computer program that creates the illusion of stretching elastic bands between pegs of a Geoboard? The answer contains some surprising mathematics.
In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Is it really greener to go on the bus, or to buy local?
10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
A problem about genetics and the transmission of disease.
Can you draw the height-time chart as this complicated vessel fills
Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?