Resources tagged with: Maths Supporting SET

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There are 89 results

Broad Topics > Cross-curricular Contexts > Maths Supporting SET

Bessel's Equation

Age 16 to 18
Challenge Level

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

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.

Building Approximations for Sin(x)

Age 16 to 18
Challenge Level

Build up the concept of the Taylor series

Taking Trigonometry Series-ly

Age 16 to 18
Challenge Level

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

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.

Dangerous Driver?

Age 16 to 18
Challenge Level

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

Whose Line Graph Is it Anyway?

Age 16 to 18
Challenge Level

Which line graph, equations and physical processes go together?

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.

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?

Approximately Certain

Age 14 to 18
Challenge Level

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

Reaction Rates

Age 16 to 18
Challenge Level

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

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.

Differential Equation Matcher

Age 16 to 18
Challenge Level

Match the descriptions of physical processes to these differential equations.

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.

Equation Matcher

Age 16 to 18
Challenge Level

Can you match these equations to these graphs?

The Wrong Stats

Age 16 to 18
Challenge Level

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

What's That Graph?

Age 14 to 18
Challenge Level

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

Choose Your Units

Age 14 to 16
Challenge Level

Which units would you choose best to fit these situations?

Brimful

Age 16 to 18
Challenge Level

Can you find the volumes of the mathematical vessels?

Global Warming

Age 14 to 16
Challenge Level

How much energy has gone into warming the planet?

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.

Transformations for 10

Age 16 to 18
Challenge Level

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

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?

Stats Statements

Age 16 to 18
Challenge Level

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

Bigger or Smaller?

Age 14 to 16
Challenge Level

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

Quorum-sensing

Age 16 to 18 Short
Challenge Level

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

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.

Pdf Stories

Age 16 to 18
Challenge Level

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

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?

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?

Crystal Symmetry

Age 16 to 18
Challenge Level

Use vectors and matrices to explore the symmetries of crystals.

Biology Measurement Challenge

Age 14 to 16
Challenge Level

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

Big and Small Numbers in Chemistry

Age 14 to 16
Challenge Level

Get some practice using big and small numbers in chemistry.

Big and Small Numbers in Physics

Age 14 to 16
Challenge Level

Work out the numerical values for these physical quantities.

Scientific Curves

Age 16 to 18
Challenge Level

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

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.

Pdf Matcher

Age 16 to 18
Challenge Level

Which pdfs match the curves?

Brimful 2

Age 16 to 18
Challenge Level

Which of these infinitely deep vessels will eventually full up?

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.

Matrix Meaning

Age 16 to 18
Challenge Level

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

More or Less?

Age 14 to 16
Challenge Level

Are these estimates of physical quantities accurate?

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.

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.

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.

Counting Dolphins

Age 14 to 16
Challenge Level

How would you go about estimating populations of dolphins?

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?

Debt Race

Age 16 to 18
Challenge Level

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

Integration Matcher

Age 16 to 18
Challenge Level

Can you match the charts of these functions to the charts of their integrals?

Nine Eigen

Age 16 to 18
Challenge Level

Explore how matrices can fix vectors and vector directions.