Resources tagged with: Maths Supporting SET

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There are 89 results

Broad Topics > Cross-curricular Contexts > Maths Supporting SET

Matrix Meaning

Age 16 to 18
Challenge Level

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

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.

Nine Eigen

Age 16 to 18
Challenge Level

Explore how matrices can fix vectors and vector directions.

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?

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.

Vector Walk

Age 14 to 18
Challenge Level

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

Air Routes

Age 16 to 18
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.

Bessel's Equation

Age 16 to 18
Challenge Level

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

Big and Small Numbers in Chemistry

Age 14 to 16
Challenge Level

Get some practice using big and small numbers in chemistry.

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?

Equation Matcher

Age 16 to 18
Challenge Level

Can you match these equations to these graphs?

Counting Dolphins

Age 14 to 16
Challenge Level

How would you go about estimating populations of dolphins?

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.

Dangerous Driver?

Age 16 to 18
Challenge Level

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

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.

Brimful

Age 16 to 18
Challenge Level

Can you find the volumes of the mathematical vessels?

Brimful 2

Age 16 to 18
Challenge Level

Which of these infinitely deep vessels will eventually full up?

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.

Global Warming

Age 14 to 16
Challenge Level

How much energy has gone into warming the planet?

Pdf Matcher

Age 16 to 18
Challenge Level

Which pdfs match the curves?

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.

Whose Line Graph Is it Anyway?

Age 16 to 18
Challenge Level

Which line graph, equations and physical processes go together?

Crystal Symmetry

Age 16 to 18
Challenge Level

Use vectors and matrices to explore the symmetries of crystals.

Big and Small Numbers in Physics

Age 14 to 16
Challenge Level

Work out the numerical values for these physical quantities.

What's That Graph?

Age 14 to 18
Challenge Level

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

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.

Choose Your Units

Age 14 to 16
Challenge Level

Which units would you choose best to fit these situations?

Root Hunter

Age 16 to 18
Challenge Level

In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.

Quorum-sensing

Age 16 to 18 Short
Challenge Level

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

Biology Measurement Challenge

Age 14 to 16
Challenge Level

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

Investigating the Dilution Series

Age 14 to 16
Challenge Level

Which dilutions can you make using only 10ml pipettes?

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.

Building Approximations for Sin(x)

Age 16 to 18
Challenge Level

Build up the concept of the Taylor series

Square Pair

Age 16 to 18
Challenge Level

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

Transformations for 10

Age 16 to 18
Challenge Level

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

Differential Equation Matcher

Age 16 to 18
Challenge Level

Match the descriptions of physical processes to these differential equations.

Approximately Certain

Age 14 to 18
Challenge Level

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

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?

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.

Taking Trigonometry Series-ly

Age 16 to 18
Challenge Level

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

Reaction Rates

Age 16 to 18
Challenge Level

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

Debt Race

Age 16 to 18
Challenge Level

Who will be the first investor to pay off their debt?

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?

Bigger or Smaller?

Age 14 to 16
Challenge Level

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

Stats Statements

Age 16 to 18
Challenge Level

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

Scientific Curves

Age 16 to 18
Challenge Level

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

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?

Perfect Eclipse

Age 14 to 16
Challenge Level

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

The Wrong Stats

Age 16 to 18
Challenge Level

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