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#### Resources tagged with Maths Supporting SET similar to Scale Invariance:

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### There are 94 results

Broad Topics > Applications > Maths Supporting SET

### Scale Invariance

##### Stage: 5 Challenge Level:

By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.

### Taking Trigonometry Series-ly

##### Stage: 5 Challenge Level:

Look at the advanced way of viewing sin and cos through their power series.

### Big and Small Numbers in the Physical World

##### Stage: 4 Challenge Level:

Work with numbers big and small to estimate and calculate various quantities in physical contexts.

### Bessel's Equation

##### Stage: 5 Challenge Level:

Get further into power series using the fascinating Bessel's equation.

### Stirling Work

##### Stage: 5 Challenge Level:

See how enormously large quantities can cancel out to give a good approximation to the factorial function.

### Building Approximations for Sin(x)

##### Stage: 5 Challenge Level:

Build up the concept of the Taylor series

### Global Warming

##### Stage: 4 Challenge Level:

How much energy has gone into warming the planet?

### Big and Small Numbers in the Living World

##### Stage: 3 and 4 Challenge Level:

Work with numbers big and small to estimate and calculate various quantities in biological contexts.

### Pdf Stories

##### Stage: 5 Challenge Level:

Invent scenarios which would give rise to these probability density functions.

### Whose Line Graph Is it Anyway?

##### Stage: 5 Challenge Level:

Which line graph, equations and physical processes go together?

### Population Dynamics Collection

##### Stage: 5 Challenge Level:

This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.

### Big and Small Numbers in Chemistry

##### Stage: 4 Challenge Level:

Get some practice using big and small numbers in chemistry.

### Differential Equation Matcher

##### Stage: 5 Challenge Level:

Match the descriptions of physical processes to these differential equations.

### The Wrong Stats

##### Stage: 5 Challenge Level:

Why MUST these statistical statements probably be at least a little bit wrong?

### Constantly Changing

##### Stage: 4 Challenge Level:

Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.

### Real-life Equations

##### Stage: 5 Challenge Level:

Here are several equations from real life. Can you work out which measurements are possible from each equation?

### Polygon Walk

##### Stage: 5 Challenge Level:

Go on a vector walk and determine which points on the walk are closest to the origin.

### Construct the Solar System

##### Stage: 4 and 5 Challenge Level:

Make an accurate diagram of the solar system and explore the concept of a grand conjunction.

### Choose Your Units

##### Stage: 4 Challenge Level:

Which units would you choose best to fit these situations?

### Dangerous Driver?

##### Stage: 5 Challenge Level:

Was it possible that this dangerous driving penalty was issued in error?

### Electric Kettle

##### Stage: 4 Challenge Level:

Explore the relationship between resistance and temperature

### Over-booking

##### Stage: 5 Challenge Level:

The probability that a passenger books a flight and does not turn up is 0.05. For an aeroplane with 400 seats how many tickets can be sold so that only 1% of flights are over-booked?

### A Question of Scale

##### Stage: 4 Challenge Level:

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?

### Approximately Certain

##### Stage: 4 and 5 Challenge Level:

Estimate these curious quantities sufficiently accurately that you can rank them in order of size

### Stats Statements

##### Stage: 5 Challenge Level:

Are these statistical statements sometimes, always or never true? Or it is impossible to say?

### Bigger or Smaller?

##### Stage: 4 Challenge Level:

When you change the units, do the numbers get bigger or smaller?

### Guessing the Graph

##### Stage: 4 Challenge Level:

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

### Reaction Rates

##### Stage: 5 Challenge Level:

Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation

### Big and Small Numbers in Physics

##### Stage: 4 Challenge Level:

Work out the numerical values for these physical quantities.

### Big and Small Numbers in Biology

##### Stage: 4 Challenge Level:

Work with numbers big and small to estimate and calulate various quantities in biological contexts.

### What Do Functions Do for Tiny X?

##### Stage: 5 Challenge Level:

Looking at small values of functions. Motivating the existence of the Taylor expansion.

### More or Less?

##### Stage: 4 Challenge Level:

Are these estimates of physical quantities accurate?

### Air Routes

##### Stage: 5 Challenge Level:

Find the distance of the shortest air route at an altitude of 6000 metres between London and Cape Town given the latitudes and longitudes. A simple application of scalar products of vectors.

### How Do You React?

##### Stage: 4 Challenge Level:

To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...

### Robot Camera

##### Stage: 4 Challenge Level:

Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?

### Integration Matcher

##### Stage: 5 Challenge Level:

Match the charts of these functions to the charts of their integrals.

### Perfect Eclipse

##### Stage: 4 Challenge Level:

Use trigonometry to determine whether solar eclipses on earth can be perfect.

### Counting Dolphins

##### Stage: 4 Challenge Level:

How would you go about estimating populations of dolphins?

### Designing Table Mats

##### Stage: 3 and 4 Challenge Level:

Formulate and investigate a simple mathematical model for the design of a table mat.

### Production Equation

##### Stage: 5 Challenge Level:

Each week a company produces X units and sells p per cent of its stock. How should the company plan its warehouse space?

### Cross with the Scalar Product

##### Stage: 5 Challenge Level:

Explore the meaning of the scalar and vector cross products and see how the two are related.

### Biology Measurement Challenge

##### Stage: 4 Challenge Level:

Analyse these beautiful biological images and attempt to rank them in size order.

### Investigating the Dilution Series

##### Stage: 4 Challenge Level:

Which dilutions can you make using only 10ml pipettes?

### Spherical Triangles on Very Big Spheres

##### Stage: 5 Challenge Level:

Shows that Pythagoras for Spherical Triangles reduces to Pythagoras's Theorem in the plane when the triangles are small relative to the radius of the sphere.

### Mystery Procedure

##### Stage: 4 Challenge Level:

Can you work out what this procedure is doing?

### Perspective Drawing

##### Stage: 3 and 4 Challenge Level:

Explore the properties of perspective drawing.

### Nutrition and Cycling

##### Stage: 4 Challenge Level:

Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

### Square Pair

##### Stage: 5 Challenge Level:

Explore the shape of a square after it is transformed by the action of a matrix.

### Scientific Curves

##### Stage: 5 Challenge Level:

Can you sketch these difficult curves, which have uses in mathematical modelling?

### Transformations for 10

##### Stage: 5 Challenge Level:

Explore the properties of matrix transformations with these 10 stimulating questions.