Resources tagged with: Maths Supporting SET

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There are 89 results

Broad Topics > Cross-curricular Contexts > Maths Supporting SET

Whose Line Graph Is it Anyway?

Age 16 to 18
Challenge Level

Which line graph, equations and physical processes go together?

Dangerous Driver?

Age 16 to 18
Challenge Level

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

Population Dynamics Collection

Age 16 to 18
Challenge Level

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

Constantly Changing

Age 14 to 16
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.

Approximately Certain

Age 14 to 18
Challenge Level

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

Bessel's Equation

Age 16 to 18
Challenge Level

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

Reaction Rates

Age 16 to 18
Challenge Level

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

Choose Your Units

Age 14 to 16
Challenge Level

Which units would you choose best to fit these situations?

Real-life Equations

Age 16 to 18
Challenge Level

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

Construct the Solar System

Age 14 to 18
Challenge Level

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

The Wrong Stats

Age 16 to 18
Challenge Level

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

Guessing the Graph

Age 14 to 16
Challenge Level

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

Global Warming

Age 14 to 16
Challenge Level

How much energy has gone into warming the planet?

Big and Small Numbers in Physics

Age 14 to 16
Challenge Level

Work out the numerical values for these physical quantities.

Stirling Work

Age 16 to 18
Challenge Level

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

Pdf Stories

Age 16 to 18
Challenge Level

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

Bigger or Smaller?

Age 14 to 16
Challenge Level

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

Big and Small Numbers in Chemistry

Age 14 to 16
Challenge Level

Get some practice using big and small numbers in chemistry.

Taking Trigonometry Series-ly

Age 16 to 18
Challenge Level

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

Scale Invariance

Age 16 to 18
Challenge Level

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

Building Approximations for Sin(x)

Age 16 to 18
Challenge Level

Build up the concept of the Taylor series

Differential Equation Matcher

Age 16 to 18
Challenge Level

Match the descriptions of physical processes to these differential equations.

Counting Dolphins

Age 14 to 16
Challenge Level

How would you go about estimating populations of dolphins?

Over-booking

Age 16 to 18
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?

Big and Small Numbers in the Living World

Age 11 to 16
Challenge Level

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

What's That Graph?

Age 14 to 18
Challenge Level

Can you work out which processes are represented by the graphs?

Designing Table Mats

Age 11 to 16
Challenge Level

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

Brimful

Age 16 to 18
Challenge Level

Can you find the volumes of the mathematical vessels?

Biology Measurement Challenge

Age 14 to 16
Challenge Level

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

Back Fitter

Age 14 to 18
Challenge Level

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?

Equation Matcher

Age 16 to 18
Challenge Level

Can you match these equations to these graphs?

What Do Functions Do for Tiny X?

Age 16 to 18
Challenge Level

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

Big and Small Numbers in Biology

Age 14 to 16
Challenge Level

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

More or Less?

Age 14 to 16
Challenge Level

Are these estimates of physical quantities accurate?

Stats Statements

Age 16 to 18
Challenge Level

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

Big and Small Numbers in the Physical World

Age 14 to 16
Challenge Level

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

Quorum-sensing

Age 16 to 18 Short
Challenge Level

This problem explores the biology behind Rudolph's glowing red nose.

Elastic Maths

Age 14 to 18

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.

Transformations for 10

Age 16 to 18
Challenge Level

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

Mystery Procedure

Age 14 to 16
Challenge Level

Can you work out what this procedure is doing?

Perfect Eclipse

Age 14 to 16
Challenge Level

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

Robot Camera

Age 14 to 16
Challenge Level

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

Electric Kettle

Age 14 to 16
Challenge Level

Explore the relationship between resistance and temperature

Polygon Walk

Age 16 to 18
Challenge Level

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

Scientific Curves

Age 16 to 18
Challenge Level

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

Nine Eigen

Age 16 to 18
Challenge Level

Explore how matrices can fix vectors and vector directions.

Cross with the Scalar Product

Age 16 to 18
Challenge Level

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

Fix Me or Crush Me

Age 16 to 18
Challenge Level

Can you make matrices which will fix one lucky vector and crush another to zero?

Vector Walk

Age 14 to 18
Challenge Level

Starting with two basic vector steps, which destinations can you reach on a vector walk?

Matrix Meaning

Age 16 to 18
Challenge Level

Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.